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3 years ago

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Mathematics

1 answer:

Kryger [21]3 years ago

6 0

Answer:

The surface area is 162 yards

Step-by-step explanation:

A = 2(w l + h l + h w)

A = 2(7 (3) + 6 (3) + 6 (7))

7 x 3 = 21

6 x 3 = 18

6 x 7 = 42

21 + 18 +42 = 81

81 x 2 = 162

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What is the distance between Harry’s home and his office?

Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

$Speed(s)=\frac{Distance(d)}{Time(t)}$

Given:

Speed (s) = 30 miles/hour

Then the relation between distance and time is:

$s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)$

If Speed was 60 miles/hour the time taken is $(t-\frac{1}{4})$ hours.

Then the relation between distance and time is:

$s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)$

Use the value of d = 30t in (ii)

$d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour$

Determine the distance as follows:

$d=30t\\=30\times\frac{1}{2} \\=15\ miles$

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0

4 years ago

Given the following graph of a system of inequalities, the point (3, 2) _____________.

uysha [10]

That point does not satisfy either inequality.

You can tell it does not satisfy the first portion, due to it being under the shaded line. Secondly, the dotted line goes through it, but that fact that it is dotted makes it not included.

5 0

3 years ago

Solve for x. x^2 + 4x = 12

tigry1 [53]

Answer:

Step-by-step explanation:

2^2+4(2)=12

4+8=12

So, x=2

Hope this helps.

-Amelia

6 0

3 years ago

If 18 is 45% of a value, what is that value?

Andrew [12]

Answer:

it is 40 :)))

6 0

3 years ago

The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Ann [662]

Answer:

$h=30$

Step-by-step explanation:

Volume of a cone=1540 $cm^{3}$ , Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is $\frac{1}{3} \pi r^{2} h$ to find the height of a cone.