Answer:nnn
Step-by-step explanation:
jjj
Let ABCD be a parallelogram such that AB = 10 , BC = 14, and Angle A = 45. Find the area of the parallelogram.
Will make person brainliest if answered within 15 minutes and is correct.
Answer:
Area of a parallelogram is base times height. Note that CD = AB & AD = BC
to find the height, draw a line from angle B perpendicular to the base b. Lets call the point of intersection at the base E. This constitutes a right triangle with AB as the hypotenuse. Using the law of sine to calculate the height h:
h/sin(A) = AB/sin(90°) ( sin(90°) = 1)
h = AB * sin(45°)
h = 10 * sin(45°)
Area = 14 * 10 * sin(45°) = 140 * sin(45°) ≈ 98.99 QEDexplanation:
The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percentage rate of growth of the county. A. 9.5% growth B. 1.05% growth C. 5% growth C. 0.95% growth
Answer:
Option (C)
Step-by-step explanation:
To determine the population we use the formula,
[tex]P_n=P_0(1+r)^{n}[/tex]
Where [tex]P_n[/tex] = final population
[tex]P_0[/tex] = Initial population
r = percentage growth
Now we substitute these values in the formula,
[tex]7921=7547(1+r)^1[/tex]
[tex]\frac{7921}{7547}=(1+r)[/tex]
r = 1.0496 - 1
r = 0.0496
r = 0.05
Therefore, percentage growth of the population of Stark county is 5%.
Option (C). will be the answer.
Which scientist developed the first model of the atom that showed the structure of the inside of an atom?
O Dalton
O Boht
O Rutherford
O Thomson
Answer: O Thomson
Step-by-step explanation:
The first model which is known as "Thomson atomic model" of the atom that showed the structure of the inside of an atom is developed by William Thomson. The model gave description of an inner structure of the atom theoretically.His theory was supported by J J Thomson who had discovered electron.He discovered negatively charged particle during a cathode ray tube experimentSo, the correct option is "Thomson" .
Answer:
Thomson
Step-by-step explanation:
The terminal side of a 130° angle in standard position lies in the
quadrant.
Two angles that are coterminal to 130 are and
Answer:
The answer is below
Step-by-step explanation:
The angle 130° lies in the second quadrant since it is between 90° and 180°. Coterminal angles are angles that share the same initial and terminal side with an angle. For a angle, there are many coterminal angles, to find a coterminal angle all you have to add or subtract 360°.
The positive angle that is coterminal to 130° are:
130 + 360 = 490°
490 + 360 = 850°
The negative angle that is coterminal to 130° are:
130 - 360 = -230°
-230 - 360 = -590°
The terminal side of a 130° angle lies in the second quadrant.
Given angle measures 130°.
The whole graph plane is divided into four quadrants, namely first quadrant, second quadrant, third quadrant and fourth quadrant.
The first quadrant has range of angles from 0 degrees to 90 degrees.
The second quadrant has range of angles from 90 degrees to 180 degrees.
The third quadrant has range of angles from 180 degrees to 270 degrees.
The fourth quadrant has range of angles from 270 degrees to 360 degrees.
Since the given angle measures 130°, thus its plot has initial side on zero degree and terminal side on 130° in the second quadrant, as [tex]90^{\circ}< 360^{\circ} < 180^{\circ}[/tex]
Thus, we have terminal side of a 130° angle lying in the second quadrant.
Learn more here:
https://brainly.com/question/1463364
b. Is the a discrete random variable, a continuous random variable, or not a random variable? time it takes for a light bulb to burn out A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable
Answer:
The correct answer is:
It is a continuous random variable (C)
Step-by-step explanation:
Continuous Random Variables are variables that do not take on a distinct value. They take on values that are a range of different possibilities to infinity. In continuous random variables, the values cannot be counted. In this example, the time it takes for a light bulb to burn out can be any rational number which is greater than 0, up to infinity; for instance, it can be 24 hours, 24.5 hours, 30.8 hours, 51.2 hours etc. There is an infinite possibility of the time it takes for the bulb to burn out.
Discrete Random Variables are ones in which the variables take on distinct values and nothing in between. Here, the outcomes can be counted. For example if a coin is tossed, there are only two possibilities which can be the outcome and that is either head, or tail. The number of possible outcome is 2, and there is nothing inbetween head or tail.
Answer:
It’s C
(Gibberish words to so i can to 29 words)
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Hope this helped,if not, don’t hate.
The number of problems assigned as homework by a savvy math professor is a function of the length of the class on a particular day, which is either 45 minutes, 90 minutes, or 135 minutes. He first multiplies the number of minutes by 4 and then divides that number by 9. Finally, he subtracts 12 from that amount. Which of the following functions best represents the number of math problems the professor assigns depending on the length of the class, t, in minutes?
Answer:f(t)=4/9t — 12
Step-by-step explanation:
1. 4 is being multiplied by t first then divided by 9 not by 4/9 so there shouldn’t be any parentheses.
2. 12 is being subtracted from this so it should be 4/9t—12.
3. Final answer: f(t)= 4/9t — 12
Anona hires a decorator to redecorate her bedroom. The decorator offers her 2 different plans: the basic plan has
x wall-color options, x + 1 ceiling-color options, and x + 3 flooring options. The gold plan offers all of the basic plan
offerings, plus 3 additional options in each category.
If a layout includes a wall color, ceiling color, and flooring, which option correctly shows the comparison between the
total number of unique layouts offered by the basic and gold plans?
O 3x +4 < 3x +11
Ox3+4x2 + 3x < 6x + 42x2 + 72
Ox+4
Ox3+4x² + 3x < x + 13.x2 + 54x + 72
>
Answer:
The correct option is;
x³ + 4·x² + 3·x < x³ + 13·x² + 54·x + 72.
Step-by-step explanation:
The given parameters are;
The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options
The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category
Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options
The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x
Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6) = x³ + 13·x² + 54·x + 72
Which gives;
The comparison between the total number of unique layouts offered by the basic and gold plans as x³ + 4·x² + 3·x < x³ + 13·x² + 54·x + 72.
The floor of a large ware house is rectangular in shape and its length is twice as long as its width. The area of the floor of the warehouse is 39,200 square feet. What is the length of the floor of the warehouse in feet?
Answer:
The length of the warehouse is 280 feet.
Step-by-step explanation:
Let A be the area of the warehouse floor, W be its width, and L be its length.
A = W * L
We know that the length is twice the width:
L = 2W
Substitute the second equation into the first equation and we get:
A = 2W * W
Solve for W (A = 39200):
39200 = 2W * W
39200 = 2W²
19600 = W²
W = 140
Plug that number into the second equation to get the length:
L = 2 * 140
L = 280
So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²
help me slove this problem thank you
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{22 \: units}}}}[/tex]Step-by-step explanation:
Let the points be A and B
A ( -8 , - 18 )⇒( x₁ , y₁ )
B ( 14 , -18 )⇒( x₂ , y₂)
Finding the distance between these two points
[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
⇒[tex] \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }[/tex]
We know that,[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }[/tex]
Calculate
⇒[tex] \sf{ \sqrt{ {22}^{2} + {0}^{2} } }[/tex]
Evaluate the power
⇒[tex] \sf{ \sqrt{484} }[/tex]
⇒[tex] \sf{{22} }[/tex] units
Hope I helped !
Best regards!!
Simplify 12 to the power of 3 over 12 to the power of 7
Please????
Need help ASAP!!!!!!
Greetings from Brasil...
Here's our problem:
[tex]\large{\frac{12^{3}}{12^{7}}}[/tex]
From potentiation properties:
Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ
division of power of the same base: I repeat the base and subtract the exponents
So, in our problem
[tex]\large{\frac{12^{3}}{12^{7}}}[/tex] = 12³ ÷ 12⁷
12³ ÷ 12⁴ = 12³⁻⁷
12⁻⁴
We also know about another property: P⁻ⁿ = (1/Pⁿ) so
12⁻⁴ = (1/12⁴)
True or false: equilateral triangles can be classified as acute right or obtuse
The price of the same type of milk at 4 different stores is shown. 4 signs.Short description, 4 signs.,Long description, Alpha Mart, 1 quart, $1.00. Beta Mart, 1 gallon, $3.00. Gamma Mart, 1 pint, $0.54. Delta Mart, 2 quarts, $1.86. Question Which store has the lowest unit price per ounce for the milk? Answer options with 4 options A. Alpha Mart B. Beta Mart C. Gamma Mart D. Delta Mart
Answer:
B
Step-by-step explanation:
Lets convert everything to gallons.
Alpha Mart:
1 quart = 0.25 gallons
1 * 0.25 = 0.25 gallons for $1
1 / 0.25 = 4 * 1 = $4 per gallon
Beta Mart:
1 gallon for $3
Gamma Mart:
1 pint = 0.125 gallons
0.125 gallons for $0.54
1 / 0.125 = 8 * 0.54 = $4.32 per gallon
Delta Mart:
1 quart = 0.25 gallons
2 * 0.25 = 0.5 gallons for $1.86
1 / 0.5 = 2 * 1.86 = $3.72 per gallon.
As we can see from all the unit prices, Beta Mart sells milk for the cheapest price.
Best of Luck!
Answer: B
Step-by-step explanation:
B
Step-by-step explanation:
Lets convert everything to gallons.
Alpha Mart:
1 quart = 0.25 gallons
1 * 0.25 = 0.25 gallons for $1
1 / 0.25 = 4 * 1 = $4 per gallon
Beta Mart:
1 gallon for $3
Gamma Mart:
1 pint = 0.125 gallons
0.125 gallons for $0.54
1 / 0.125 = 8 * 0.54 = $4.32 per gallon
Delta Mart:
1 quart = 0.25 gallons
2 * 0.25 = 0.5 gallons for $1.86
1 / 0.5 = 2 * 1.86 = $3.72 per gallon.
Hope it helps!
Lowell purchased a motorcycle for $17,011. It depreciates about 3.9% each year. What is the value of the motorcycle after eight years?
Answer:
100% - 3.9% leaves 96.1% of its value = 0.961*worth of the previous year.
value at years = 17011*(0.961)^8
= $12374.19 after 8 years
A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does the mechanic charge per hour for labor?
Answer:
$31.25
Step-by-step explanation:
Let's set up an equation.
$220. 28 - total
$126.53 - cost for parts
3 - # of hours
? - price per hour
3h + $126.53 = $220.28
Subtract $126.53 from both sides.
3h = $93.75
Divide by 3.
h = $31.25
The mechanic charges $31.25 per hour for labor.
Hope that helps.
Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.
Answer:
Frank is wrong
Step-by-step explanation:
[tex]6(6) - 1 = 35[/tex]
35 is a multiply by 5 so it is not a prime number.
Show What You Know
In 2-3 sentences, explain in writing, how you can compare
and order integers.
PLZZZ I DONT HAVE THAT MUCH TIME
Answer: " Compare and order integers, -3, +4 -3 < +4, 3 is farther to the left on the number line than +4. To put integers in order , you order the elevations from least to greatest. First, graph each integer then, write the integers as they appear on the number line from left to right. To compare integers If there are two numbers we can compare them one number is either greater than, less than or equal to the other number.
What are the next three terms in the sequence? 1, 10, 2, 9, 3, ___, ___, ___
Answer:
8, 4, 7
Step-by-step explanation:
The sequence is going backwards from 9 by adding and subtracting.
1, 10, 2, 9, 3, ___, ___, ___
11 - 10 = 1
1 + 9 = 10
10 - 8 = 2
2 + 7 = 9
9 - 6 = 3
3 + 5 = 8
8 - 4 = 4
4 + 3 = 7
Hope that helps.
16/5 x 36/12 x 25/18
Answer
[tex]\frac{16}{5}[/tex]*[tex]\frac{36}{12}[/tex]*[tex]\frac{25}{18}[/tex]=[tex]\frac{4}{1} *\frac{2}{3} *\frac{5}{1}=\frac{40}{3} =13\frac{1}{3}[/tex]
Step-by-step explanation:
A biologist is tracking the path of a bird. The bird flies from point A to point B on the map. What vector can be used to express the bird's change in position? Write the vector in the form [cd] , where c and d are real numbers.
Answer:
c = -5
d = -10
Step-by-step explanation:
A biologist is tracking a bird when it was at A.
Coordinates of point A are (2, 4).
This bird moves from point A to point B.
Coordinates of the point B are (-3, -6).
Vector form of vector represented by [tex]\overrightarrow{AB}=<x_2-x_1, y_2-y_1>[/tex]
By substituting the coordinates of points A and B,
[tex]\overrightarrow{AB}=<(-3-2),(-6-4)>[/tex]
= < -5, -10 >
[tex]\overrightarrow{AB}=\binom{-5}{-10}[/tex]
By comparing it with the vector form of [cd]
c = -5
d = -10
The salaries of 830 lawyers were recorded and analyzed. The analyst later found that the lowest salary was incorrectly recorded as $0. After the error was corrected, the report showed that the corrected value was still lower than any other salary. Which sample statistic must have remained the same after the correction was made?
Answer:
The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.
HOPE THIS HELPED < 33
Step-by-step explanation:
Find the indicated side of the triangle
Answer:
[tex]a = 17 \sqrt{2} [/tex]Step-by-step explanation:
To find a we use sine
sin ∅ = opposite / hypotenuse
From the question
a is the hypotenuse
17 is the opposite
Substitute the values into the above formula
That's
[tex] \sin(45) = \frac{17}{a} [/tex][tex]a \sin(45) = 17[/tex][tex]a = \frac{17}{ \sin(45) } [/tex][tex] \sin(45) = \frac{ \sqrt{2} }{2} [/tex][tex]a = \frac{17}{ \frac{ \sqrt{2} }{2} } [/tex]We have the final answer as
[tex]a = 17 \sqrt{2} [/tex]Hope this helps you
[tex]\frac{1}{8}[/tex]w = 14
Answer:
w = 112
Step-by-step explanation:
1/8w = 14
Multiply each side by 8
8*1/8w = 14*8
w = 112
Answer: w = 112
Explanation: If w is being multiplied by a fraction, simply multiply both sides of the equation by the reciprocal of that fraction to get w by itself.
So in this problem, since w is being multiplied by 1/8,
we multiply both sides of the equation by 8/1.
On the left, (8/1) (1/8) cancels out and on the right,
if you multiply 14 by 8/1, you get 112.
So w = 112.
Image is attached below.
The slope of the line below is - 8/7
Write a point-slope equation of the line
using the coordinates of the labeled point.
A. y+4 = -8/7 (x+4)
B. y-4 = -8/7 (x-4)
C. y-4 = -8/7 (x-4)
D. y+4 = -8/7 (x+4)
Answer:
Hey there!
Point slope form:
y-4=-8/7(x-4)
Let me know if this helps :)
PLEASE HELP ME ASAP!! Write the following statement as an inequality: 8 less than a number w is under 35.
Answer:
8<w<35
Step-by-step explanation:
the w has to be over 8, but less than 35, so 8<w<35 is ur answer.
// have a great day //
Can you help me fill this out
Answer :
In the picture above. I hope it helps:)
I started at 2 but for the one bracket just know that
1×1=1
1×2=2
1×3=3
1×4=4
1×5=5
1×6=6
1×7=7
1×8=8
1×9=9
1×10=10
1×11=11
1×12=12
FOREVER CHANGED AREAS TOPIC: AREA/ MEASUREMENT Your class of 22 is lining up from recess to go back into the classroom and must maintain social distancing by remaining 180cm apart. What is the length of your line in cm and m?
Answer:
[tex]\huge \boxed{\mathrm{3780 \ cm}}[/tex]
[tex]\huge \boxed{\mathrm{37.8 \ m}}[/tex]
Step-by-step explanation:
22 students each maintain distancing of 180 centimeters apart.
1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-22
There are 21 spaces between the students in the line.
21 × 180
= 3780
The length of the line is 3780 centimeters.
To convert cm to m, we divide the value by 100.
[tex]\frac{3780}{100}[/tex] = 37.8
The length of the line is 37.8 meters.
[tex]\huge{\boxed{\bf{Solution:}}}[/tex]
We have,
Number of students = 22Distance between any two consecutive student = 180 cmTo FinD:
Length of the line in cm and m.....⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.
Between 2 students (Gap = 1)Between 3 students (Gap = 2).................Similarly,
Between 22 students (Gap = 21)We have, Length of Gap = 180 cm
➝ Total length of gaps = 180 cm × 21 = 3780 cm
Converting into m,
➝ 100 cm = 1 m
➝ 3780 cm = 3780 / 100 m
➝ 3780 cm = 37.80 m
⚘ Length of line:-
In cm ➝ 3780 cm
In m ➝ 37.8 m
━━━━━━━━━━━━━━━━━━━━
2xy and 5xy
7 and 2xy
-3 and 5xy
7 and -3
Which are like terms
Answer:
2xy and 5xy are like terms
Step-by-step explanation:
Like terms have the same number, and variables.
A is correct since it has one number and two variables of x and y.
B is wrong since 7 doesn’t have xy at the end like 2xy does.
C is wrong since -3 doesn’t have xy at the end like 5xt does.
D is right since 7 and -3 are by themselves with no variables.
Best of Luck!
Given: g(x) = x - 4 and h(x) = 2x - 8,
What is g(h(10))?
0 212
O V6
O V6-8
276 - 8
need help asap and need step by step!!!
The light from a lamp casts a shadow of a man standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50 degrees. To the nearest foot, how tall is the lamppost?
Answer:
Height of lamppost = 23.835 ft (Approx)
Step-by-step explanation:
Given:
Man's distance from lamppost = 15 ft
Shadow length = 5 ft
Angle of elevation = 50°
Find:
Height of lamppost
Computation:
Using trigonometry application.
Total base length = 15 ft + 5 ft
Total base length = 20 ft
Tan 50° = Height of lamppost / Total base length
1.19175359 = Height of lamppost / 20
Height of lamppost = 23.835 ft (Approx)
Answer:
To the nearest foot it is about 24 feet
Need help with 8,12!!!!!!!!
Answer:
x = -12, a = 17
Step-by-step explanation:
You can use algebraic techniques to simplify two-step equations. They have a constant on one side of the equation and a variable with a coefficient on the other. However, for algebraic equations, most will require you to add or subtract a constant from the side with the variable.
4x + 7 = -41 can be simplified algebraically. Subtract 7 from both sides and then divide by 4.
4x + 7 = -41
4x = -48
x = -12
-4 - 2a = -38 can also be simplified algebraically. Add 4 to both sides and then divide by -2.
-4 - 2a = -38
-2a = -34
a = 17
Answer:
8 x = -12
12 a = 17
Step-by-step explanation:
8
4x + 7 = -41
4x = -41 - 7
4x = -48
x = -48/4
x = -12
probe:
4*-12 + 7 = -41
-48 + 7 = -41
12
-4 - 2a = -38
-2a = -38 + 4
-2a = -34
a = -34/-2
a = 17
probe:
-4 - 2*17 = -38
-4 - 34 = -38