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3 years ago

10

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

25π units^2

Step-by-step explanation:

The shape is a quarter circle with radius 10 units.

area of circle = πr^2

area of a quarter circle = (1/4)π(10 units)^2

area = 25π units^2

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Alejandro uses the steps below to convert

dezoksy [38]

Answer:

The division was computed incorrectly.

Step-by-step explanation:

Given

Workings:

$\frac{5}{8}$ to percentage

$\frac{8}{5} = 1.6 = 160\%$

Required

Explain his error

The question says 5/8

Instead, Alejandro's working shows 8/5.

This working is done in an incorrect order and the correct solution is:

Let

$x = \frac{5}{8}$

Solve the fraction

$x = 0.625$

Multiply by 100%

$x = 0.625 * 100\%$

$x = 62.5\%$

Hence, option (a) is correct.

7 0

3 years ago

A local car wash is open 8 hours each day. It uses 1/3 of a container of wax for each car. The car wash waxes an average of 8 1/

sweet-ann [11.9K]

Answer:

22.67 containers.

Step-by-step explanation:

The number of cars washed is the average by the total hours worked:

$C_{total}=\bar xt,\bar x=8.5,t=8\\\\C_{total}=8.5\times 8=68$

Given that each car uses 1/3 tin of wax, the total containers is calculated as:

$Containers=\bar x_c n,n=68,\bar x_c=\frac{1}{3}\\\\=\frac{1}{3}\times 68\\\\=22.67$

Hence, the car wash uses 22.67 containers of wax per day.

8 0

3 years ago

The original line has the equation of y=-2x+8

enot [183]

The new equation of line that is perpendicular to the original that goes through the point (6, -1) in slope intercept form is $y = \frac{1}{2}x - 4$

<h3>Solution:</h3>

Given that original line has the equation of y = -2x + 8

We have to write a new equation that is perpendicular to the original that goes through the point (6, -1)

Let us first find slope of original line

The slope intercept form of line is given as:

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing the slope intercept form and given original equation, we get "m = -2"

Thus slope of original line "m" = -2

We know that product of slope of a line and slope of line perpendicular to it are always -1

slope of original line x slope of line perpendicular to it = -1

$\begin{array}{l}{-2 \times \text { slope of line perpendicular to it }=-1} \\\\ {\text { slope of line perpendicular to it }=\frac{1}{2}}\end{array}$

Let us find equation of line with slope m = 1/2 and passes through point (6, - 1)

Substitute $m = \frac{1}{2}$ and (x, y) = (6, -1) in eqn 1

$-1 = \frac{1}{2} \times 6 + c\\\\-1 = 3 + c\\\\c = -4$

Thus the required equation of line is:

Substitute "c" = -4 and $m = \frac{1}{2}$ in eqn 1

$y = \frac{1}{2}x - 4$

Thus the equation of line perpendicular to original line is found

7 0

3 years ago

Ms.Friedman and Mrs.Elliot both teach sixth grade math. They share a storage closet. What is the total area of both rooms and th

Citrus2011 [14]

Answer:
Total area of both rooms and the storage = 2844 ft^2

Explanation:
Total area would initially be the summation of the area of Ms. Friedman's room and storage added to Mrs. Elliot's room and storage.
However, we are given that the storage is shared.
So now, the total area would be equal to Ms. Friedman's room and storage + Mrs. Elliot's room and storage - area of closet

Now, we can notice that:
Ms. Friedman's room and storage = Mrs. Elliot's room and storage

Therefore:
Total area = 2*Ms. Friedman's room and storage - area of storage

1- getting area of Ms. Friedman's room and storage:
length = 36 ft
width = 40 ft
area of Ms. Friedman's room and storage = length * width
area of Ms. Friedman's room and storage = 36 * 40
area of Ms. Friedman's room and storage = 1440 ft^2

2- getting area of closet:
length = 36 - 30 = 6 ft
width = 40 - 34 = 6 ft
area of closet = length * width
area of closet = 6 * 6 = 36 ft^2

3- total area of both rooms and the storage:
Total area = 2*Ms. Friedman's room and storage - area of storage
Total area = 2*1440 - 36
Total area = 2844 ft^2

Hope this helps :)

8 0

3 years ago

The Candy Shack sold 138 pounds of candy on Tuesday 52% of candy was Jellybeans how many pounds of jelly beans were sold Tuesday

erik [133]

Answer:

72 jelly beans

Step-by-step explanation:

138*0.52=71.76

round up

7 0

3 years ago