The points (-5,r) and (-2,15) lie on a line with a slope of 3. Find the missing coordinate r. .

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact

lara [203]

Answer:

d. $8\text{ ft}^3$

Step-by-step explanation:

We have been given that Cheng measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

First of all, we will find height of each pyramid by dividing height of whole sculpture by 4 as:

$\frac{6\text{ ft}}{4}=1.5\text{ ft}$

We know that volume of a pyramid is equal to 1/3 of base area times height that is $V=\frac{bh}{3}$ , where b represents area of base.

$V=\frac{(2\text{ ft})^2\times\text{ 1.5 ft}}{3}=4\times 0.5\text{ ft}^3=2\text{ ft}^3$

Since volume of one pyramid is equal to 2 cubic feet, so volume of 4 pyramids will be 4 times 2 cubic feet that is 8 cubic feet.

Therefore, Cheng must purchase 8 cubic feet of material.

6 0

3 years ago

What is the estimate of 32034

PSYCHO15rus [73]

The estimate is 32,000.

7 0

2 years ago

(4) |-5 + (-2)| _____ |5 + 2| < > =

nikitadnepr [17]

Hi

The answer would be =

Why?

The `| |` symbols mean actual value, which makes every number inside of it positive. That would mean, following the rules of actual value, the equation would look like:

5 + 2 _____ 5 + 2

Both add up to 10, so both equations are equal.

4 0

2 years ago

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A triangle has a perimeter of 91 centimeters. Each of the two longer sides of the triangle is three times as long as the shortes

Mkey [24]

9514 1404 393

Answer:

13 cm, 39 cm, 39 cm

Step-by-step explanation:

If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:

x +3x +3x = 91

x = 91/7 = 13

3x = 3(13) = 39

The length of the short side is 13 cm; the other two sides are 39 cm.

4 0

2 years ago

Please someone help me with maths

Nata [24]

Answer:

a)= 5x+10

b)= 7y-6

c)= 6x-6

d)= 2x^2+8x-5

e)= 6x+9

f)= 4xy-4y^2+8y

g)= -12y^2+10y

h)= 6x+154

i)= 6x+21

h)= 2x^2+16

6 0

2 years ago

Read 2 more answers