Help me please for 10pt

A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm,

maw [93]

Perimeter = 2(width+length) =28
Let x=width of base, then length of base = (28/2)-x = 14-x
Volume of box = length*width*height
=x(14-x)*5 = 5x(14-x)

3 0

3 years ago

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.

LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

We have that

1. The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = $r = \frac{d}{2}$

Substitute h for d in the above expression

$r = \frac{h}{2}$ . ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that V = 27; This gives us

27 = πr²h

Divide both sides by h

$\pi r^2 = \frac{27}{h}$

-------------------

Calculating the volume of a sphere

$V = \frac{4}{3}\pi r^3$

Expand the above expression

$V = \frac{4}{3}\pi r^2 * r$

Substitute $\pi r^2 = \frac{27}{h}$

$V = \frac{4}{3} * \frac{27}{h} * r$

Recall that $r = \frac{h}{2}$

So,

$V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}$

$V = \frac{4}{3} * \frac{27}{2}$

$V = \frac{2}{3} * 27$

$V = \frac{2}{3} (27)$

V = two-third (27)

4 0

3 years ago

E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.

Katen [24]

Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126

6 0

3 years ago

PLEASE HELP I WILL MARK YOU BRAINIEST PLEASE

cupoosta [38]

Answer:

Zeniab makes the most money by $0.25, and would make $2.50 more.

Step-by-step explanation:

Okay, the good news is, this problem is about finding how much you make in an hour.

Zainab makes $44 for 8 hours

and

Keziah makes $47.25 in 9 hours.

in each problem, we can set them up in an equation of

$44=8x

and

$47.25=9x

In the first equation, divide both sides by 8 to isolate the x.

that would be 44/8 = x which is $5.50 per hour for Zainab.

In the second equation, divide both sides by 9 to isolate the x.

That would be 47.25/9 = x which is $5.25 per hour for Keziah.

This means that Zainab would make more per hour, and to find the second part of the question for a 10 hour job,

(You can multiply any number by 10 easily by moving each number up one place. Hundreds go to the thousands when you multiply by 10 as an example. In this problem, 5.50 times 10 would be $55.00 because the 5 behind the decimal would be moved up infront of the decimal)

Zainab would make $55 for 10 hours

Keziah would make $52.50 for 10 hours

Then, take the difference of those final totals, which is $2.50, or multiply $0.25 by 10 to get $2.50

8 0

3 years ago

How many terms in 9a+11p

Naddik [55]

Answer:

2 terms

Step-by-step explanation:

Terms are nothing but the mixtures of co-effecients and their variables..

Here, 9a is one term while 11p is the other

7 0

3 years ago

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