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iragen [17]
3 years ago
15

Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230

. What was her percent of error in her calculations?
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

8.70%

Step-by-step explanation:

Percentage error = (difference between estimated value and actual value / actual amount spent) x 100

difference between estimated value and actual value = estimated value - actual amount

$250 - $230 = $20

($20 / $230) x 100 = 8.6957%

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Pythagorean theorem

12²+16²=c²

√400=c

c=20

20 meters

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3 years ago
Find the area of the figure. 7 cm 4 cm 4 cm 1 10 cm 10 cm 8 cm 19 cm
Paladinen [302]

Answer:

132cm^2

Step-by-step explanation:

first break the shape up into component shapes. the shape is made of two rectangles and two triangles. the area for a rectangle is A=BH where b is base and h is height. the area of a right triangle is BH/2 where b is the base and h is the height. you are given the base and height of the top rectangle 4x7. To find the area of the triangles and the second rectangle you have to do some algebra. the total base length is 19cm and the top rectangle has a length of 7cm so 19-7 leaves you with 12cm to spare and there is two symmetric triangles on each side so 12/2 is 6. now we know all the measurements and can solve.

3 0
2 years ago
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was
mel-nik [20]
We are asked in the problem to devise a polynomial equation that has a GCF of 6 which means each of the terms can be divided to 6. For example: 6*(x^2 + x+1) = 6x^2 + 6x +6. This polynomial is created by multiplying each terms by the number 6 which is distinguished by factoring. 
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3 years ago
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6x + 3y + z = 21<br> y = 7x + 8z - 29<br> -6y - 8z = 6
kicyunya [14]

Answer:

What is the question

Step-by-step explanation:

4 0
2 years ago
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1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
2 years ago
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