The length of the missing side is, 5 unit.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two sides of a triangle are, 3 and 4.
Now, We can use the Pythagoras theorem to find the missing side of a triangle as;
Let the missing side = x
⇒ x² = 3² + 4²
⇒ x² = 9 + 16
⇒ x² = 25
⇒ x = √25
⇒ x = 5
Thus, The missing side of triangle = 5 units
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An object is launched at 19. 6 meters per second (m/s) from a 58. 8-meter tall platform.
The item reached its highest point at 78.4 meters by quadratic form of equation.
Suppose a quadratic form of equation has the following form
y=a[tex](x-h)^2[/tex] + k
Once in vertex form, it is said to be. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)
Using the data shown above, we can determine that
-4.9[tex]t^2[/tex] + 19.6 t + 58.8 = 0
The equation will naturally be converted to vertex form after the square is finished:
where h is the amount of time needed to reach a height of k.
Next, square the half of the linear term and add it to both sides.
-4.9([tex]t^2[/tex]-4t)=-58.8
-4.9([tex]t^2[/tex]-4t+4)=-58.8-19.6
-4.9([tex](t-2)^2[/tex])=-78.4
s(t)=-4.9([tex](t-2)^2[/tex])+78.4
As can be seen, the vertex is (2,78.4).
The maximum height is 78.4m.
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Question: An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)=−4.9[tex]t^2[/tex]+19.6t+58.8. What is the maximum height of the object?
9) Before hibernation, a bear weighs 990 pounds. Its weight decreases by 32% during hibernation. How much does the bear weigh when it comes out of hibernation? Show your work.
The weight of the bear after hibernation is 673.2 pounds
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Before hibernation, a bear weighs 990 pounds.
Its weight decreases by 32% during hibernation.
We need to find how much the bear weigh when it comes out of hibernation.
Lets find what is 32% of 990
32/100×990
0.32×990
316.8
Now let us subtract 316.8 from 990 pounds, to find the weight after hibernation.
990-316.8
673.2
Hence, 673.2 pounds is the weight of the bear after hibernation.
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11. A) A mobile price is tagged Rs 5,000. If a customer gets 12% discount and adding certain
percent VAT reaches as Rs 4,972, find out the VAT percentage.
The VAT percentage of a mobile price is tagged Rs 5,000 with a 12% discount and adding a certain percentage of VAT reaches Rs 4,972 is a 13% VAT Percentage.
The solution to the problem is as follows:
Step 1: Find the price of the mobile after the discount. The discount is 12% of the original price, which is Rs 5,000. So, the discount amount is:
12% of Rs 5,000 = (12/100) * 5000 = Rs 600
Step 2: Subtract the discount amount from the original price to get the price after the discount:
Rs 5,000 - Rs 600 = Rs 4,400
Step 3: Now, we need to find the VAT percentage that was added to the price after the discount to get the final price of Rs 4,972. Let the VAT percentage be x%. Then the equation is:
Rs 4,400 + x% of Rs 4,400 = Rs 4,972
Step 4: Simplify the equation and solve for x:
4400 + (x/100) * 4400 = 4972
4400 + 44x = 4972
44x = 4972 - 4400
44x = 572
x = 572/44
x = 13
Therefore, the VAT percentage is 13%.
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write a boolean expression that is true if the value of x is equal to zero.
The boolean expression that is true if the value of x is equal to zero is:
x == 0
Let's us first learn about Boolean expression.
A boolean expression is an expression that evaluates to either true or false. It can be created using comparison operators, such as == (equal to), != (not equal to), < (less than), > (greater than), <= (less than or equal to), and >= (greater than or equal to). These operators compare two values and return a boolean result.
In this question, the double equal sign (==) is the comparison operator for equality in many programming languages, and it returns true if the values on both sides are equal, and false otherwise.
So in this case, the expression "x == 0" would return true if x is equal to zero, and false otherwise.
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A line segment has an endpoint at (-2, 8), and the midpoint is at (10,-8). What is the y -value of the coordinates of the other endpoint of the line segment?
The coordinates of the point is Q ( 22 , -24 )
What is the midpoint of two points?The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let A ( x₁ , y₁ ) be the first point
Let B ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
Given data ,
Let the first point be represented as P ( -2 , 8 )
Let the second point be represented as Q ( x , y )
Now , the midpoint of P and Q is M ( 10 , -8 )
where , midpoint between P and Q is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
Substituting the values in the equation , we get
10 = ( -2 + x ) / 2
Multiply by 2 on both sides of the equation , we get
-2 + x = 20
Adding 2 on both sides of the equation , we get
x = 22
And ,
-8 = ( 8 + y ) / 2
Multiply by 2 on both sides of the equation , we get
y + 8 = -16
Subtracting 8 on both sides of the equation , we get
y = -24
Hence , the coordinates of the point Q is Q ( 22 , -24 )
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Please answer with the work shown
The perimeter first figure that is made of a square and equilateral triangle is 52 cm.
What exactly are squares?
A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.
A square's most significant qualities are
The four inner angles are 90 degrees.The four sides of the square are congruent, or equal.The square's opposing sides are parallel.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.The diagonal of a square is divided into two isosceles triangles.
Square area=(side)²
Square perimeter=4*side
Now,
For first figure given that
sides of square are 14 cm in length
and length of side of equilateral triangle are=5 cm
but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.
So, perimeter=3*14+2*5
=42+10
=52 cm
hence,
The perimeter first figure 52 cm.
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What is 5 mcg to mg ?
The conversion of 5 mcg (micrograms) to mg (milligrams) is 0.005 mg.
This is because there are 1,000 micrograms in 1 milligram which is the conversion factor. Therefore, to convert micrograms to milligrams, you would divide the number of micrograms by 1,000.
Here is the step-by-step explanation for this conversion:
1. Start with the number of micrograms: 5 mcg
2. Divide the number of micrograms by 1,000 to convert to milligrams: 5 mcg / 1,000 = 0.005 mg
3. The result is the number of milligrams: 0.005 mg
So, 5 mcg is equal to 0.005 mg.
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can someone please help me with this work sheet
1. Adjacent angles and 1 degree is missing angle.
3. Complementary angles are missing angle is 177 degrees.
4. Adjacent angles and missing angle is 10 degrees.
5. Adjacent angles and missing angle is 104 degrees.
6. Adjacent angles and missing angle is 10 degrees.
6. Vertical angles and missing angle is 57 degrees.
What are Angles?an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
1. The angles are Adjacent
54+10x+16=180
10x=180-70
x=1
So the unknown angle is 10+16=26 degrees.
3. The angles are complementary
22+4x=90
4x=68
Divide both sides by 4
x=17
So, the angle is 4(17)=68 degrees
4. The angles are Adjacent
110+7x=180
7x=70
x=10, the other angle is 7(10)=70 degrees
5. The angles are Adjacent
72+x+4=180
x=104
The other angle is 104+4=108 degrees.
6. 92+x+78=180
x=10
The unknown angle is 10 degrees.
7. The angles are vertical.
72=x+15
x=57 degrees.
Hence,
1. The angles are Adjacent and missing angle is 1 degrees.
3. The angles are complementary and missing angle is 177 degrees.
4. The angles are Adjacent and missing angle is 10 degrees.
5. The angles are Adjacent and missing angle is 104 degrees.
6. The angles are Adjacent and missing angle is 10 degrees.
6. The angles are Vertical and missing angle is 57 degrees.
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The graph of y = 3x - 4 is shown
Consider the solutions of y>3x-4 then day each point to the appropriate bin
The solutions to the inequality are (-5, -3), (-3, 4), (0, -4), (0, 0), (1, 1), (2, 2)
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
graph of y = 3x - 4
Express properly
y = 3x - 4
From the graph, we have the following ordered pairs on the shaded region
(-5, -3), (-3, 4), (0, -4), (0, 0), (1, 1), (2, 2)
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how to calculate hexagon sum of interior angles
Answer:
Step-by-step explanation:
The sum of the interior angles in a polygon can be calculated using the following formula:
(n - 2) * 180 degrees
where n is the number of sides in the polygon.
To understand why this formula works, let's consider a single interior angle in the polygon. Each interior angle is split into two equal angles that form a straight line. The sum of these two angles is 180 degrees. Now, if we look at all the interior angles in the polygon, we can see that they are divided into (n - 2) pairs of angles that form straight lines. This means that the sum of all the interior angles in the polygon is (n - 2) * 180 degrees.
For a hexagon, which has 6 sides, we can plug in n = 6:
(6 - 2) * 180 = 4 * 180 = 720 degrees
So, the sum of the interior angles in a hexagon is 720 degrees.
If P = 14 x 36, what is the prime factorization of P?
A. 2^3 x 3 x 7^2
B. 2^4 x 3 x 7
C. 2^3 x 3^2 x 7
D. 2 x 3^3 x 7
E.2 x 3 x 7^2
The prime factorization of P is given as follows:
C. 2³ x 3² x 7.
How to obtain the prime factorization of P?The number P in this problem is defined as follows:
P = 14 x 36.
Hence we must obtain the prime factorization of each number in this problem, as follows:
14 = 2 x 7.36 = 4 x 9 = 2² x 3².Then the prime factorization of the multiplication is given as follows:
14 x 36 = 2 x 7 x 2² x 3² = 2³ x 3² x 7.
Meaning that the correct option is given by option C.
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322 Out of 450 is What Percent?
The percentage of 322 out of 450 using the percentage formula was found out to be approximately 71.56%.
To find the percentage of 322 out of 450, we can use the following formula:
percentage = (part/whole) x 100
where, "part" is the value we want to express as a percentage (in this case, 322), "whole" is the total value (in this case, 450), and "x" means "multiply".
Using the formula mentioned above, we get:
percentage = (322/450) x 100
percentage = 0.7156 x 100
percentage = 71.56%
Therefore, percentage of 322 out of 450 is approximately 71.56%.
A percentage is a way to express a number as a fraction of 100. It is often denoted using the "%" symbol.
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Step 2 Use the answers from Step 1 to find the total distance Sonja's ball traveled during her warm
up. Show your work (4 points)
I need help on the whole page if anyone knows the answer to this
Answer: step 1:
wickets 2 and 9, (16,18) and (15,43) = 25.02ft
wickets 9 and 8, (15, 43) and (37,65) = 31.11 ft
wickets 8 and 5, (37, 65) and (63,39) = 36.7 ft
wickets 5 and 3, (63, 39) and (41, 17) = 31.11 ft
wickets 3 and 2, (41, 17) and (16, 18) = 25.02 ft
A bag contains only pink sweets, white sweets, green sweets and red sweets.
The table gives each of the probabilities that, when a sweet is taken at random from
the bag, the sweet will be green or the sweet will be red.
Answer:
Below
Step-by-step explanation:
Since : .35 x = 28 Given ( where x = total sweets)
x = 80 sweets total
28 are red ( given ) then 02. * 80 = green = 16
80 - 28 - 16 = 36 remaining
and are divided between pink : white in ratio of 2:1
pink are 2 out of (2+1) = 2/3
2/3 * 36 remaining = 24 pink
then 12 are white
What would the answer be to this question?
Answer:
it's x,-6y is ur answer If I'm correct
Which triangles are similar?
67%
23°
13/ 12
62
5
Triangle A
15
28
17
Triangle B
36
23°
39
67°
15
Triangle C
A. Triangles Band C
B. Triangles A and C
OC. Triangles A, B, and C
OD. Triangles A and B
Please help will give 30 pts
Triangles that are similar are A and C because they have equal angles and the sides have the same scale dimensions.
How to identify equal triangles?To identify equal triangles we must look at the dimensions of the triangles, especially their angles and the lengths of their sides. Based on the above, we can infer that the triangles that are similar are triangle A and triangle C.
This is because both triangles have angles of 23°, 67°, and 90°. Additionally, a scale is stored between the length of its sides.
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We asked 860 people their holiday 15% of these said Antigua was their favourite holiday destination
Answer:
69
Step-by-step explanation:
Step-by-step answer please, thanks! :)
The amount of money you'll have at the end of 5 years is $4,060.
How to calculate the simple interest and future value?Mathematically, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P is the principal or starting amount.R is the interest rate.A is the future value.T represents the time measured in years.Substituting the given parameters into the simple interest formula, we have;
S.I = 3,500 × 3.2/100 × 5
S.I = 3,500 × 0.03.2 × 5
S.I = $560.
Next, we would calculate the future value as follows;
Future value, A = S.I + P
Future value, A = $560 + $3,500
Future value, A = $4,060.
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An equation is shown below.
4.3(3.4z-19.2) = 5.3z + 10.7-2.4z
Which of the following statements describes a step that can be used to solve the equation for ?
O Subtract 4.32 from both sides of the equation.
O Add 10.7 to both sides of the equation.
O Divide both sides of the equation by 4.3.
O Multiply both sides of the equation by 10.7.
Answer:z=4663/586
Step-by-step explanation:
for every 10m increas in depth water pressure increases by 100kPa. At a depth of 40 m the pressure is approx 500kPa
Write a linear equation
Answer:
40m deep = 500 kPa.
+10m deep = +100 kPa
50m deep = 600 kPa
60m deep = 700 kPa
( It never stops ! )
Explantion:
The depth affects the entire water pressure, not the other way around, and thus the depth is a independant variable and the water pressure is most likely a dependant variable.
Fact:
100 kPa every 10 meters, or 10 kPa per meter.
0m deep = 100 kPa. Add 10 kPa for every meter. ( and so on )
kPa = 100 + (10x the depth in meters)
Using the variables given, p = 10d + 100.
Help!!! I don't understand this question..
Step-by-step explanation:
I want to say Marisella. Here's my argument.
5 seats in the front row, so 5/20. Before the first person enters, 5 seats are open making it 5/20.
Once the first person sits.. now there are 4 spots in the front and only 19 total seats left, making it 4/19
what is the morse fall scale
The Morse Fall Scale (MFS) is a standardized tool used to assess a patient's risk of falling. It is used by healthcare professionals in a variety of clinical settings, including hospitals, long-term care facilities, and home care.
The MFS was first developed in 1987 by Dr. Morse and her colleagues as a way to identify patients at high risk for falls and to implement fall prevention measures. The MFS is a quick and simple tool that assesses six different risk factors for falls. These risk factors include history of falling, secondary diagnosis, ambulatory aids, intravenous therapy, gait, and mental status. The MFS assigns points to each risk factor based on the severity of the risk, with a maximum score of 125. Patients who score higher on the MFS are considered to be at higher risk for falls and require more intensive fall prevention interventions. The MFS is useful for healthcare professionals in identifying patients at risk for falls and in developing an individualized fall prevention plan. The MFS is also useful in measuring the effectiveness of fall prevention interventions by allowing healthcare professionals to track a patient's progress over time. However, it is important to note that the MFS is only one tool in a comprehensive fall prevention program and should not be used in isolation.
In summary, the Morse Fall Scale is a standardized tool used to assess a patient's risk of falling. It is a simple and quick tool that assesses six different risk factors and assigns points based on the severity of the risk. The MFS is useful in identifying patients at risk for falls and in developing an individualized fall prevention plan.
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In a company, 70% of the workers are. If 1170 people work for the company who aren't women, how many workers are there in all?
The number of workers in the company is given as follows:
3900 workers.
How to obtain the number of workers in the company?The number of workers in the company is obtained applying the proportions in the context of the problem.
From the problem, we have that:
70% of the workers are women.1170 of the workers are not women.Hence 30% of the workers is equivalent to 1170, hence the number of workers in the company is obtained as follows:
0.3x = 1170
x = 1170/0.3
x = 3900 workers.
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The Drama club is selling tickets to a play for x dollars each for each ticket they sell the school receives x dollars and the drama club receives the remaining amount the drama club sells 108 tickets for a total of (108x+972) how much money does the drama club receive for each ticket they sell i need to show work thanks !!! your are the best
Answer:
The drama club receives $9 for each ticket they sell.
Step-by-step explanation:
The total amount of money the drama club receives from selling 108 tickets is the difference between the total amount collected and the amount donated to the school.
Total amount collected = 108x + 972
Amount donated to the school = 108x
Amount received by the drama club = (108x + 972) - 108x = 972
Therefore, the drama club receives a fixed amount of $972 for selling 108 tickets.
To find how much money the drama club receives for each ticket sold, divide the total amount received by the number of tickets sold:
972/108 = $9
Therefore, the drama club receives $9 for each ticket they sell.
past due date: 15 points, brainliest!
Answer the screenshot below and I will make you a brainliest (make sure to answer all questions please)
Answer:
bvalue = 7
rise = 0 run can be any number besides 0 since slope is 0 (and slope = change in y/change in x)
another point : (1,7)
Step-by-step explanation:
Python formats all floating point numbers to two decimal places when outputting using the print statement O True O False 1 pts >> Question 9 The if statement causes one or more statements to execute only when a Boolean expression is true. O True O False
Python formats all floating point numbers to two decimal places when outputting using the print statement. (FALSE)
The if statement causes one or more statements to execute only when a Boolean expression is true. ( TRUE)
What are Floating Points?Floating point is a number format that can be used to represent a large or small value.
In writing this number is done by writing it in exponential form, so that the number has a base number, the exponential number and the base number.
The following is writing scientific notation in floating point. example in decimal numbers
261,000,000,000 written 2.61 x 10¹¹
0.000000000261 is written 2.61 x 10^-10
The Floating point representation itself has two parts, namely the mantissa part and the exponent part. The mantissa determines the digits, while the exponent determines the value of how many powers the mantissa is, as follows:
±S * B±E
S = Significant also called mantissa
E = Exponent
B = Base
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A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 3 feet
in length. How many 4-inch pieces can the dressmaker cut from 5 of these rolls of
ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in
total?
try
45 pieces of 4 inch can the dressmaker cut from 5 of these rolls of ribbon.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
1 roll = 3 feet of ribbon
So, 5 rolls = 5 x 3 = 15 feet of ribbon
and, 1 foot = 12 inches
Then, 15 feet = 15 x 12 = 180 inches
The dressmaker has 180 inches of ribbon in total.
Now, the 4-inch pieces can the dressmaker cut from 5 of these rolls of
ribbon
= 180 / 4
= 45 pieces
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need answer shortly pleaaaaaaaaaase
Which of these angles is the largest angle for which it would be appropriate to use the small angle approximation for cosine?
20 degrees
15 degrees
5 degrees
30 degrees
The largest angle for which it would be appropriate to use the small angle approximation for cosine is 15 degrees
We know that basic trigonometric identities are the primary trigonometric ratios of sine, cosine, and tangent that are defined in a right triangle but at the same time these ratios have numerous applications, but their most important application is finding unknown sides and angles in a right triangle.
Small Angle approximation can be said to be the approximation that can be used to find a more simplified formula for each of the three primary ratios. This process is called a small-angle approximation or applying the small-angle approximation theorem.
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Need answer quick !!!
The sector area is equal to: B. 54π yd².
How to calculate the area of a sector?Mathematically, the area of a sector can be calculated by using this formula:
Area of sector = θr²/2
Where:
r represents the radius of a circle.θ represents the central angle.Substituting the given parameters into the area of a sector formula, we have the following;
Area of sector = θr²/2
Area of sector = 240(π/180) × (9)²/2
Area of sector = 120(π/180) × 81
Area of sector = 54π yd².
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