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3 years ago

Karyn proofread a 15 pages in 2 hours for $40.

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

A. 8 pages per hour because 120 (2 hours) ÷15=8
b. $40÷15 (pages)=$2.70 (rounded)

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n oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic fe

Eddi Din [679]

For this case the volume of the box is given by:
V = l * w * h
Where,
V = 24 feet ^ 3
Substituting values we have:
24 = l * w * h
Clearing the value of h we have:
h = 24 / (l * w)
Answer:
The height in terms of the other sides is:
h = 24 / (l * w)

8 0

3 years ago

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

Marina86 [1]

Area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

$$=\frac{1}{4} \pi r^2 - \frac{1}{2} bh$

$$=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times 12 \times 12$

$$=36\pi -72$

$$=36(\pi -2)$ square cm.

Area of the shaded region $$=36(\pi -2)$ square cm

Using Pythagoras theorem,

$AC^2=AB^2+BC^2$

$AC^2=12^2+12^2$

$AC^2=288$

Taking square root on both sides of the equation, we get

$AC= 12\sqrt 2$ cm

Perimeter of the quadrant of a circle = $\frac{1}{4} \times 2\pi r$

$$=\frac{1}{4} \times 2 \times \pi \times 12$

$$=6 \pi$ cm

Perimeter of the shaded region = $6 \pi + 12\sqrt 2$ cm

$=6 (\pi + 2\sqrt 2)$ cm

Hence area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

6 0

3 years ago

5. Write an equation for a line with a slope of -4 and goes through the point (5, -1). Show all work.

Artyom0805 [142]

Answer:

y=-4x+19

Step-by-step explanation:

Plug into point-slope formula

y-y1=m(x-x1)

y-(-1)=-4(x-5)

y+1=-4x+20

-1 -1

y=-4x+19

4 0

3 years ago

What are the remaining angle measures if the figure is to be a parallelogram?

goldfiish [28.3K]

The correct answer is

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

As we know that, it is a parallelogram opposite angels are congruent
Therefore, m∠A = m∠C and m∠B =m∠B

As we know that, If side a=79 then side c must also be equal to 79

When we consider all the angles and add them it must be equal to 360°
When we add 79+79 = 158°, which mean a=c= 158°

By subtracting all the sides of parallelogram which is 360- 158= 202°
If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
Dividing 202 by 2
$\frac{202}{2}$ = 101°
Therefore, the value of b=d=101°
A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.

3 0

3 years ago

Read 2 more answers

Nevermind, the question has been solved.

san4es73 [151]

okay.... I guess??? lol

7 0

3 years ago

Read 2 more answers