The area of a rhombu i 216 quare cm and the length of one diagonal i 24cm. What i the leght of the econd diagonal

Answers

Answer 1

The perimeter of the rhombus be 60 cm.

What is the perpendicular bisector of a diagonals?

It is a rhombus or square if the diagonals of a quadrilateral are perpendicular bisectors of one another.

Lines that cut through the middle of each side of a triangle's perpendicular bisector are perpendicular to the provided side.

check to see if the diagonals of a rhombus cut the angles; if they do, the object is a rhombus. The diagonals can also be checked to verify if they are perpendicular bisectors of one another, or if they cross at a right angle.

One way to describe a perpendicular bisector is as a line that divides another line segment into two equal portions by crossing it perpendicularly.

[tex]$$\begin{aligned}& \text { Area of rhombus }=\frac{1}{2} \times D_1 \times D_2 \\& 216=\frac{1}{2} \times 24 \times D_2\end{aligned}$$[/tex]

(1) [tex]$\mathrm{D}_2=\frac{216}{12}=18$[/tex]

(2) Diagonals perpendicular bisector of each other

[tex]$$\begin{aligned}& \mathrm{OA}=\mathrm{DC}=12 \& \mathrm{DB}=\mathrm{OD}=9 \\& \mathrm{AB}^2=12^2+9^2=144+81=225 \\& \mathrm{AB}=15 \mathrm{~cm}\end{aligned}$$[/tex]

(3) perimeter [tex]$=4 \times 15=60 \mathrm{~cm}$[/tex].

The complete question is:

The area of a rhombus is 216 sq. cm. If its one diagonal is 24 cm; find :

(i) length of its other diagonal,

(ii) length of its side,

(iii) perimeter of the rhombus.

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Related Questions

your friend measured the distance between her town and the state capital on the map. Her measurement was 4 1/2 inches. Based on your friend's measurement ,what is the actual distance (in miles) between her town and the state capital ?

Answers

The actual distance (in miles) between her town and the state capital is 90 miles.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, a map of the state where your friend lives has the scale 1/2 in : 2 mi.

Now, 10 ÷ 1/2

= 10×2

= 20

Her measurement was 4 1/2 =9/2 inches.

Now, 20×9/2

= 90 miles

Therefore, the actual distance (in miles) between her town and the state capital is 90 miles.

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"Your question is incomplete, probably the complete question/missing part is:"

A map of the state where your friend lives has the scale 1/2 in : 2 mi.

Your friend measured the distance between her town and the state capital on the map. Her measurement was 4 1/2 inches. Based on your friend's measurement ,what is the actual distance (in miles) between her town and the state capital?

Rabbits in a lab are to be kept on a strict daily diet that includes 34 grams of​ protein, 17 grams of​ fat, and 47 grams of carbohydrates. The scientist has only three food mixes available with the following grams of nutrients per unit.

Answers

Each​ rabbit needs 4 units of protein, 2 units of fats, and 3 units of carbohydrates for the dietary need.

Given that

Mix A: 6 protein, 4 fat, 2 carbs

Mix B: 4 protein, 2 fat, 6 carbs

Mix C: 5 protein, 2 fat, 8 carbs

Now convert these mixes into quadratic equations

6a + 4b + 5c = 47--------(1)

4a + 2b + 2c = 26--------(2)

2a + 6b + 8c = 44-------(3)

Now divide (2) and )3) equations by 2:

6a + 4b + 5c = 47

2a +  b +  c = 13------(4)

a + 3b + 4c = 22--(5)

Eliminates A:

Pairs equations #4 and #5

6a + 4b + 5c = 47

2a + b + c = 13  

Now multiply -3 for Equation(4) and after add with Equation (1):

6a+4b+5c=47

-6a -3b-2c = 39  

------------------------

b + 2c = 8

Pairs equations (4) and (5):

2a + b + c = 13

a + 3b + 4c = 22

multiply -2 for Equation(5) and after add with Equation (4):

2a + b + c = 13

-2a-6b -8c =44

-----------------------

-5b+-7c=-31

multiply everything by -1

5b+7c=31

2 by 2 system from equations above in bold:

b+2c=8

5b+7c=31

solves by substitution:  b = 8 - 2c

5(8 - 2c) + 7c = 31

40 - 10c + 7c = 31

40 - 3c = 31

-3c = -9

c = 3

Then b = 8 - 2(3) = 8 - 6

b=2

Simplified second equation:  2a+b+c=13

2a+2+3=13

2a=8

a = 4

Therefore, A=4 B=2 C=3

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Parallelogram ABCD is plotted on a coordinate plane. The coordinates of point A are (-3, 5). Point B is at (1, 2), and point C is at (2, -4). What are the coordinates of the fourth vertex D

Answers

The coordinates of vertex D are (-3 + 1, 5 - 6) = (-2, -1).

What is parallelogram?

A parallelogram is a quadrilateral that has its opposite sides parallel and equal to each other. It has its interior opposite angles equal. Also, the angles on the same side of the transversal sum up to 180 degrees or are supplementary to each other.

To find the fourth vertex of a parallelogram given the coordinates of three vertices, we can use the property that opposite sides of a parallelogram are parallel and equal in length.

If we subtract the vector AB from the vector AC, we obtain the vector AD, which gives us the coordinates of the fourth vertex D.

AB = (1 - (-3), 2 - 5) = (4, -3)

AC = (2 - (-3), -4 - 5) = (5, -9)

AD = AC - AB = (5 - 4, -9 + 3) = (1, -6)

Therefore, the coordinates of vertex D are (-3 + 1, 5 - 6) = (-2, -1).

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For Halloween you bought a bag of 500 pieces of mixed candy. After just one hour you see that you only have 350 pieces left for the rest of the evening. What is the percentage change in candy after that first hour?a. -25%b. -35%c. -15%d. -30%

Answers

She has 480 pieces of candy left after Halloween (option a ) -25% percentage

to solve this problem we have to analyze the information given:

Candy available: six 100-piece bags

Number of children: 20

Pieces of candy for each child: 6

So, we have to calculate the total amount of candy available by multiplying the pieces of candy that each bag has (100) by the number of bags(6)

100 x 6 = 600

Then, we have to multiply the number of children (20) by the number of pieces of candy that each one receives (6) and then subtract that number to the number of pieces of candy available.

20x 6 = 120

600 -120 = 480

She has 480 pieces of candy left after Halloween (option a ) or -25 percentage

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Convert and round off to 3 decimal places a.1 235 m to km b.0,032 m to mm c.635 g to kg d.0,775 l to ml e.3,25kl to l f. 24,5 km to m g.63,8 ml to l h.2,3 tons to kg i.32 450 500 mg to kg j.7 623 cm to m

Answers

a. 1 235 m = 1 235 m * (1 km / 1000 m) = 1.235 km (rounded to 3 decimal places)

b. 0,032 m = 0.032 m * (1000 mm / 1 m) = 32 mm (rounded to 0 decimal places)

c. 635 g = 635 g * (1 kg / 1000 g) = 0.635 kg (rounded to 3 decimal places)

d. 0,775 l = 0.775 l * (1000 ml / 1 l) = 775 ml (rounded to 0 decimal places)

e. 3,25 kl = 3.25 kl * (1000 l / 1 kl) = 3250 l (rounded to 0 decimal places)

f. 24,5 km = 24.5 km * (1000 m / 1 km) = 24500 m (rounded to 0 decimal places)

g. 63,8 ml = 63.8 ml * (1 l / 1000 ml) = 0.0638 l (rounded to 3 decimal places)

h. 2,3 tons = 2.3 tons * (1000 kg / 1 ton) = 2300 kg (rounded to 0 decimal places)

i. 32 450 500 mg = 32 450 500 mg * (1 kg / 1000000 mg) = 32.4505 kg (rounded to 4 decimal places)

j. 7 623 cm = 7 623 cm * (1 m / 100 cm) = 76.23 m (rounded to 2 decimal places)

A university student completed courses worth 3 credits and some courses worth 4
credits. The student earned a total of 54 credits after completing 15 courses. How
many courses worth 4 credits did the student complete?

Answers

9 courses for 4 credits.

Use a system of equations. Let’s say that the number of courses worth 3 credits is X and the number of courses worth 4 credits is Y.

The total number of courses the student took was 15, so X+Y=15.

Each X course was worth 3 credits each and each Y course was worth 4 credits each, for a total of 54, so 3X+4Y=54.

I’m going to take the first equation and solve it for X so I can plug it in to the second equation.

X=15-Y.

Now, plug it in to the second equation to solve for Y.

3(15-Y)+4Y=54

1. Distribute what’s inside the parenthesis.

45-3Y+4Y=54

2. Combine like terms.

45+Y=54

3. Subtract 45 from both sides.

Y=9

find the horizontal and vertical asymptotes of the curve. y = 3 + x4 x2 − x4

Answers

The horizontal asymptote of the curve y = 3 + x^4 / x^2 - x^4 is y = 1 and the vertical asymptotes are x = +√(x^4) and x = -√(x^4).

How to find the  horizontal and vertical asymptotes of the curve?

To find the horizontal and vertical asymptotes of the curve y = 3 + x^4 / x^2 - x^4, we need to examine the behavior of the function as x approaches positive and negative infinity.

For the horizontal asymptote, we look at the behavior of the function as x approaches positive and negative infinity. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of the leading coefficients of the numerator and denominator. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptotic.

According to question:

In this case, the degree of the numerator (x^4) is equal to the degree of the denominator (x^4), and the leading coefficients are both 1. Therefore, the horizontal asymptotic is the ratio of the leading coefficients, which is y = 1.

For the vertical asymptote, we look for any x-values that make the denominator equal to zero, since the function is undefined for these values. In this case, x = +√(x^4) and x = -√(x^4) are the roots of the denominator, so they are the vertical asymptotes.

Therefore, the horizontal asymptote of the curve y = 3 + x^4 / x^2 - x^4 is y = 1 and the vertical asymptotes are x = +√(x^4) and x = -√(x^4).

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Kendra has been saving her earnings from mowing the neighborhood lawns. She has 80 dollars and wants to spend it all on games.

If each game costs 9 dollars, how many can Kendra buy?

Answers

Kendra can only buy 8 games

what’s the square root of 50, 147,96 and -8 square root 16

Answers

The value that a number produces when it is multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For instance, 16 Equals 4. The root symbol or surds is another name for the radical symbol.

How do you calculate the square root?

The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."

The square root of 50 is 7.07106781187.

The square root of 147 is 12.124355653

The square root of 96 is 9.79795897113

The square root of -8 is 2.82842712475i

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Refer to the T-account below Work In Process 30,000 (12) Bal. 270,000 90,000 70,000 0,000 Entry (12) could represent which of the following? (9)110,000 Bal A) Direct labor cost incurred in production B) Purchases of raw materials C) The cost of goods manufactured transferred to Finished Goods D) The cost of indirect materials incurred in production

Answers

The correct option answer is C , that is Entry 12 represents The cost of goods manufactured transferred to Finished Goods

Given that, the T-account below Work In Process 30,000 (12) Bal. 270,000  90,000  70,000  110,000

We have,  Total work in progress (WIP) before Transfer =

                           30,000 + 90,000 +70,000 + 110,000 = $300,000

And the ending work in progress (WIP)  = 30,000

It clearly means that 270,000 (300,000 - 30,000) of goods has been transferred to finished goods inventory.

Therefore, the balance entry represents that the cost of goods manufactured transferred to Finished Goods.

The required question's table of T-account is attached below.

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in each of the following scenarios, state what type of distribution should be used to model the response y: binomial, multinomial, poisson, or normal.

Answers

The total number of respondents and x would be the total number of respondents who rate the product a 5.

A survey asking respondents to rate a product on a scale of 1 to 5

In this scenario, a binomial distribution should be used to model the response y. A binomial distribution is a discrete probability distribution that is used to model the probability of a certain number of successes in a given number of trials. The formula for a binomial distribution is P(x) = nCx * p^x * (1-p)^(n-x) where n is the number of trials, x is the number of successes, and p is the probability of success in a single trial. In this case, n would be the total number of respondents and x would be the total number of respondents who rate the product a 5.

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This is the answer on the assignment question I think

Answers

Answer: you got it right

Step-by-step explanation:

How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?​

Answers

Answer:

Howdy so if you buy an item to which 6% tax is added, you pay 106% of the price. The price of the item is $50, you pay 50(1.06) = $53.

convert the given system to an augmented matrix. 2x1 x2 = 2 −x1 − x2 − x3 = 6. Find all solutions by reducing the system to echelon form and back substituting. (If there are an infinite number of solutions use s1
as your parameter

Answers

The solution to the system is x1 = -4, x2 = 10.

What is the solution to the system?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitute solutions to the system. (5, 4) is a solution of the first equation, but not the second.

The given system can be converted to an augmented matrix as follows:

[ 2 1 | 2 ]

[-1 -1 -1 | 6 ]

To find all solutions, we will reduce the system to echelon form and back substitute.

Step 1: Echelon Form

We can perform row operations to reduce the matrix to echelon form:

[ 2 1 | 2 ] R1 = R1 * 1/2

[-1 -1 -1 | 6 ]

[ 1 1/2 | 1 ] R2 = R2 + R1

[ 0 -3/2 -1 | 5 ]

Step 2: Reduced Row Echelon Form

Next, we can perform additional row operations to reduce the matrix to a reduced row echelon form:

[ 1 1/2 | 1 ] R2 = R2 * 2

[ 0 1 | 10 ]

The reduced row echelon form of the matrix represents the system of equations in a simplified form and the solution to the system can be obtained by back substituting.

Step 3: Back Substituting

x2 = 10

x1 = 1 - 1/2 x2 = 1 - 1/2 * 10 = 1 - 5 = -4

Therefore, the solution to the system is x1 = -4, x2 = 10.

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What are the measures of angles AB and C show your work and explain your answers? I really only need the answer to C please :) this is my first post so giving as much as I can to people who answer. PLEASE ANSWER SOON

Answers

The measure of angles becomes:

∠a = 30°

∠b = 60°

∠c = 105°

What is triangle?

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

∠a and 30° are vertical angles and vertical angles are equal

∠a = 30°

We have a triangle with a, b and a right angle. Triangles have angles that add to 180°.

∠a + ∠b + 90° = 180°

30° + ∠b + 90° =180°

120° + ∠b = 180

∠b = 180° - 120°

∠b = 60°

Angle c and 70 form a straight line and straight lines are 180 degrees

∠c + 75° = 180°

∠c = 180° - 75°

∠c = 105°

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100 POINTS!!!
Find the equation of the linear function represented by the table below in slope-intercept form.

x y

1 0

2 5

3 10

4 15

Answers

sorry sweetheart!! we need to see the table!

When multiplying an equation so that you can cancel one of the variables, be certain to multiply both sidesof the equation. For instance, multiplying the above equation incorrectly would yield
:--1.5x -1.5y = 40, which would give you very incorrect values when you tried to solve for x and y.
Part D Now, add the two equations and find the value of x.
Express your answer to three significant figures.
ANSWER

Answers

The two equations would be 1.5x + 2.5y = 30, 3x + 1.5y = 40, when we add both the equations we get, 4.5x + 4y = 70, and the value of x is 10.

How to solve the linear equation in two variables?

To solve a system of linear equations in two variables using the substitution in two variables using the substitution method. First solve one of the equations for one variable. Substitute this in the other equation in terms of a single variable. Then solve it for the variable. Now, substitute it in any of the equations to get the value of another variable.

Given:

Add the two equations together:

1.5x + 2.5y = 30

3x + 1.5y = 40

(1.5x + 3x) + (2.5y + 1.5y) = (30 + 40)

4.5x + 4y = 70

Isolate the x-variable by subtracting 4y from both sides of the equation:

4.5x + 4y = 70

4.5x + 4y - 4y = 70 - 4y

4.5x = 70 - 4y

Divide both sides of the equation by 4.5 to solve for x:

4.5x = 70 - 4y

4.5x/ 4.5 = (70 - 4y)/4.5

x = (70 - 4y) / 4.5

Substitute the value of y from the first equation:

1.5x + 2.5y = 30

2.5y = 30 - 1.5x

y = (30 - 1.5x) / 2.5

Substitute the value of y into the equation for x and solve:

x = (70 - 4y) / 4.5

x = (70 - 4((30 - 1.5x) / 2.5)) / 4.5

x = 10

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Susie's mom is keeping track of how many pieces of candy Susie and her four brothers are eating. The information is graphed below. At what rate is the amount of candy changing? A. -75 pieces of candy per day B. 90 pieces of candy per day C. -90 pieces of candy per day D. 75 pieces of candy per day

Answers

The rate of change for a graph passing through (0, 0) and (2, -180) is -90 pieces of candy per day

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The slope intercept form of a linear equation is:

y = mx + b

where m is the rate of change and b is the y intercept

Let y represent the total pieces of candy remaining after x days. Let us assume that the graph passes through (0, 0) and (2, -180). Hence:

[tex]Slope(rate\ of\ change) = \frac{y_2-y_1}{x_2-x_1}\\ \\substituting:\\\\slope=\frac{-180-0}{2-0} =-90[/tex]

The rate of change is -90 pieces of candy per day

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Find the area if a triangular region whoe bae i 90m long and the correponding altitude i 40m long

Answers

The area of the triangular region is 1800 square meters.

The area of a triangular region can be calculated by multiplying its base by its corresponding altitude and dividing by 2.

Given a triangular region with a base of 90 m and a corresponding altitude of 40 m, the area of the region can be calculated as follows:

Area = (Base * Height) / 2

Area = (90 * 40) / 2

Area = 3600 / 2

Area = 1800 square meters

Therefore, the area of the triangular region is 1800 square meters.

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The area of the triangular region is 1800 square meters.

The area of a triangular region can be calculated by multiplying its base by its corresponding altitude and dividing by 2.

Given a triangular region with a base of 90 m and a corresponding altitude of 40 m, the area of the region can be calculated as follows:

Area = (Base * Height) / 2

Area = (90 * 40) / 2

Area = 3600 / 2

Area = 1800 square meters

Therefore, the area of the triangular region is 1800 square meters.

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On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change. At 7:30 a.m., the temperature was -4°F. By 7:32 a.m., the temperature was 45°F. By 9:00 a.m. the same day, the temperature was 54 °F. By 9:27 a.m., the temperature was -4 °F. How many degrees did the temperature change each minute from 9:00 to 9:27?

Answers

From 9:00 a.m. to 9:27 a.m., the temperature changed from 54°F to -4°F, a change of 58°F. This change took 27 minutes.

The temperature change per minute was 58°F / 27 minutes = 2.15°F per minute.

Arts and Crafts An arts and craft supply store has a large crate that

contains brass, silver, and copper beads. Several friends take turns

pushing their hands into the beads, grabbing one, recording the bead

type, and placing the bead back into the crate. They then repeat the

process. The table shows the count for each bead type. Write a

probability model for choosing a bead.

Dlhrann-

Enter your

Answers

The probability of p(copper)=0.28

Probability model for choosing a bead?

Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probability is a fundamental concept in mathematics, statistics, and science that is used to quantify uncertainty and forecast the likelihood of future events based on available data. Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

Given

Total Beads =112+96+192=400

Placing the bead back to the crate

so the total beads are always 400

copper:112

p(copper)=112/400=0.28

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In a game, Mateo earned 180 points for collecting stars. He earned 270 points for
lestroying ships. Plus, he earned 5 points for each prisoner he saved. If he finished
he game with 500 points, how many prisoners did he save?
A
50
B 10
C) 15
D 250
ht©Swun Math
6.EE.6
SWUN MATH
6.EE.7
Grade 6 Unit 5 Mid-Unit Assessment VB, Page 1

Answers

Answer:

B. 10

Step-by-step explanation:

We can solve this fast by adding the points from the stars and ships together, then subtracting that number from the total 500 points Mateo earnd.

So it would look like this:

180+270=450

500-450=50

So if Mateo scored 50 points from saving prisoners and save is worth 5 points each, we can do 50÷5=10.

the first three terms of a sequence are given. round to the nearest thousandth (if necessary). 156,153,150,...156,153,150,... find the 46th term.find the 46th term.

Answers

The first term of the sequence is 156. Then the 46th term of the sequence is 156.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. In mathematics, a series can be generally described as the sum of an infinite sequence of values.

Given

The first three terms of a sequence are shown.

156,153,150 and so on.

The given sequence is repeating every three terms, and the repeating terms are 156, 153, 150.

So, to find the 46th term, we need to determine which set of repeating terms it belongs to.

Dividing 46 by 3 gives us a quotient of 15 with a remainder of 1, meaning the 46th term belongs to the 16th set of repeating terms and will be the first term in that set, which is 156.

So, the 46th term of the sequence is 156.

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The first term of the sequence is 156. Then the 46th term of the sequence is 156.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. In mathematics, a series can be generally described as the sum of an infinite sequence of values.

Given

The first three terms of a sequence are shown.

156,153,150 and so on.

The given sequence is repeating every three terms, and the repeating terms are 156, 153, 150.

So, to find the 46th term, we need to determine which set of repeating terms it belongs to.

Dividing 46 by 3 gives us a quotient of 15 with a remainder of 1, meaning the 46th term belongs to the 16th set of repeating terms and will be the first term in that set, which is 156.

So, the 46th term of the sequence is 156.

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Find mqn

Please help me

Answers

70 degrees is the measure of MQN from the provided figure.

Solving angles in a line geometry.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

From the given figure, we are to determine the measure of angle <MQN. Applying the sum of angles on a straight line:

<MQN + 80 +30 = 180

<MQN + 110 = 180

<MQN = 180 - 110

<MQN = 70 degrees

Hence the measure of <MQN from the given figure is 70 degrees.

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Does someone mind helping me with this problem? Thank you!

Answers

Answer: the answer is 180 km.

Step-by-step explanation:

Answer:

180 km

Step-by-step explanation:

1 cm to 20 km

9cm=20 times 9

180 kilometers

Geometry 1 find the measure of the angle

Answers

Answer:

46

Step-by-step explanation:

draw a line at 96° & make it parallel to bottom line

which will slice 96° into 2 angles

lower half is 180-130=50

top half is 96-50=46

angle 4r equals to top half

a few months ago, mike and dez started a dog walking business. for each dog that they have agreed to walk, they recorded the total time (in hours) they walked that dog over a one-week period. these values are given below. use the calculator to draw a histogram for these values using 5 classes. 1.6,4.0,4.7,1.6,2.5,2.2,0.6,2.0,3.0,2.6 what percentage of their dogs are walked at least 1.5 hours but under 4.2 hours per week? (round your answer to the nearest percent.)

Answers

You can easily find the percentage of dogs that are walked at least 1.5 hours but under 4.2 hours per week by counting the number of data values in the appropriate class and dividing by the total number of data values, then multiplying by 100.

How you can create a histogram?

Determine the range of the data: 0.6 to 4.7.

Divide the range by the number of classes (5) to find the class width: (4.7 - 0.6) / 5 = 0.76.

Determine the lower limits of each class by starting at the minimum value (0.6) and adding the class width repeatedly: 0.6, 1.36, 2.12, 2.88, 3.64, 4.4.

Count the number of data values that fall into each class and record it in a table.

Draw a bar for each class using the lower limit of the class as the x-axis value and the height of the bar equal to the number of data values in the class.

After creating the histogram, you can easily find the percentage of dogs that are walked at least 1.5 hours but under 4.2 hours per week by counting the number of data values in the appropriate class and dividing by the total number of data values, then multiplying by 100.

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Which of the following functions are solutions of the differential equation y′′+2y′+1y=0 ?
A. y(x)=−x
B. y(x)=e^-x
C. y(x)=xe^x
D. y(x)=e^x
E. y(x)=xe^−x
F. y(x)=−e^x
G. y(x)=0

Answers

Option (B) and (E) functions are solutions of the differential equation y′′+2y′+1y=0.

What is differential equation?

An equation known as a differential equation describes the derivative or derivatives of an unknown function. Because they are equations involving a function and its derivatives (where the variable is a function rather than a number) (the functions obtained by differentiating it). Save this response. Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

Given that,

y′′+2y′+1y = 0

A.E = m² + 2m + 1 = 0

or, (m + 1)² = 0

or, m = ± 1

y = (c₁ + c₂x)e⁻ˣ

y = c₁e⁻ˣ + c₂xe⁻ˣ

Thus, option (B) and (E) are solutions  of the differential equation:

y′′+2y +1y = 0.

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(−5/6x−7/12)−(−1/3x−1/4) . the slashes are fractions PLS ANSWER FAST

Answers

Answer:

That's what I got, not sure but I tried so I hope it helps.

Percy thinks that since the data {5, 0, 4, 0, 0} has a mode of 0, the data has no mode.

Using 3-5 sentences, critique Percy's reasoning.

Answers

The reasoning of Percy is incorrect because there is one mode for the data set.

What is Mode?

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

Given data is {5, 0, 4, 0, 0}.

Here the value 0 is repeating three times.

No other number has repeated three times.

So there is only one mode for the data set and is 0.

This does not mean that there is no mode for the set.

A data set has no mode if and only if all the numbers in the set are repeated same number of times.

Hence the reasoning of Percy is incorrect.

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