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3 years ago

Find the surface area of a rectangular prism that has the following dimensions:

Mathematics

2 answers:

irga5000 [103]3 years ago

6 0

Answer:

it is 306

Step-by-step explanation:

if u use a geometry calculator it will tell u 306

Sidana [21]3 years ago

3 0

Answer:

324in2

Step-by-step explanation:

A=bxwxh (basexwidthxheight)

A=4.5x6x12=324

A=324in2

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Can someone please help me answer this?

Setler79 [48]

Answer:

Step-by-step explanation:

If you don't understand some steps, comment it for me please.

1. Find diagonal.

d = 2r

d = 2(9)

d = 18

2. Find length of square.

each length of square = x

$x : 18 = 1 : \sqrt{2}$

$\frac{x}{18} = \frac{1}{\sqrt{2} }$

$\sqrt{2}x = 18$

$x = \frac{18}{\sqrt{2} } = 9\sqrt{2}$

3. Find area of circle and square.

Area for circle

$A = \pi r^2$

$A = \pi (9)^2$

$A = 81\pi = 254.4690...$

Area for square

$A = (length)^2$

$A = (9\sqrt{2})^2$

$A = 162$

4. Subtract area of circle to area of square.

254.4690... - 162 = 92.4690...

5. Find the shaded region.

92.4690... / 4 = 23.1172...

Rounded to the nearest hundredth = 23.12

7 0

3 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0

4 years ago

You plan to invest $10,000 in two funds paying 4.5% and 5% simple interest. (There is more risk in the 5% fund.) Your goal is to

Artist 52 [7]

Answer:

$6000

Step-by-step explanation:

Given the following :

Total planned amount to invest = 10,000 in two funds:

Fund A at rates 4.5% and

Fund B at 5% simple interest

Total Annual Interest should be = 480

What is the smallest amount you can invest in the 5% fund and still meet your objective?

Let ;

Investment in fund A = principal = a at 4.5%(0.045)

Investment in fund B = principal = (10000 - a) at 5%(0.05)

Simple interest = principal * rate * time

a + (10000 - a) = 10000

(a * 0.045) + (10000 - a) * 0.05 = 480

0.045a + 500 - 0.05a = 480

-0.005a = 480 - 500

-0.005a = - 20

a = 20 / 0.005

a = 4000

4000 at 4.5%

Investment in fund B = principal = (10000 - a)

(10,000 - 4000) = 6000

6 0

3 years ago

The number 5/7 can be best described as a(n)

kirill [66]

Fraction. I think? I don't know exactly what your learning at the moment. I hope this helps

7 0

3 years ago

Read 2 more answers

An expression is shown: 94/12 between which two consecutive whole numbers does this value lie? Enter the numbers in the boxes

Sindrei [870]

Divide 94 by 12 and you get an answer of 7.83333. So it lies between 7 and 8

5 0

3 years ago