4. Consider the mailbox shown below. It consists of a square prism for the main pole, a rectangular prism for the main box and half a cylinder for top portion. You are going to provide the dimensions for each of these parts. When you provide the dimensions, they must meet the following criteria:
Use these dimensions to determine the overall volume of the mailbox. This should include both the pole, main box and cylindrical top portion. If necessary, use 3.14 for π and round your answer to the nearest hundredths.

Answer:

161

Step-by-step explanation:

69 is 30% of 230 so 230-69=161 is the answer.

Answer:

$0.56 per foot

Step-by-step explanation:

2 yards= 6 feet

3.36/6= 0.56

Answer:

$0.56 per foot

Step-by-step explanation:

1 yd = 3 ft

2 yd = 6 ft

3.36/6 = 0.56

Answer:

9). 15 miles

10). 12880.8 in²

Step-by-step explanation:

9). Total distance to be covered by Kelly = Perimeter of the given triangle

                                                                    = Sum of three sides of the triangle

    To know the length of Laurel drive (Hypotenuse of the triangle), we will apply Pythagoras theorem in the given triangle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

                             = (2.5)²+ 6²

                             = 6.25 + 36

     Hypotenuse = [tex]\sqrt{42.25}[/tex]

                           = 6.5 mi.

     Therefore, total distance covered by Kelly = 6.5 + 2.5 + 6

                                                                             = 15 mi.

10). Amount of paper required to cover one desk of the class

     = Area of the trapezoid shown in the figure

     = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

      Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid

      And 'h' is the distance between the parallel sides.

      By applying Pythagoras theorem in ΔPRT,

      PR² = RT² + PT²

      PT = [tex]\sqrt{PR^2-RT^2}[/tex]

      PT = [tex]\sqrt{(18)^2-2^2}[/tex]

            = [tex]\sqrt{324-4}[/tex]

            = [tex]\sqrt{320}[/tex]

            = 17.89 in.

      Area of the trapezoid PQRS = [tex]\frac{1}{2}(PQ+RS)(PT)[/tex]

                                                      = [tex]\frac{1}{2}(22+26)(17.89)[/tex]

                                                      = 429.36 in²

      Therefore, paper required to cover 30 desks = 30 × 429.36

                                                                                   = 12880.8 in²

Answer:

(1/5 * 3x) + (1/5 * 1/2)

Step-by-step explanation:

This * is multiply and this property is distribution

Answer:

The pair of numbers is (3,3) while the maximum product is 9

Step-by-step explanation:

The pairs of numbers whose sum is 6 starting from zero is ;

0,6

1,5

2,4

3,3

Kindly note 2,4 is same as 4,2 , so there is no need for repetition

So the maximum product is 3 * 3 = 9 and the pair is 3,3

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Total pages = 12

Stamps placed on one side = 32x 12 = 384 stamps

Stamps placed on the second page = 32 x 12 = 384

Total stamps = 384+384 = 768

Answer:

Answer. 5.0/5. 1.

Step-by-step explanation:

Answer

The answer would be 560

Step-by-step explanation:

8(7x5+7x4+7)

35+28+7

8x70

560

Answer:

4.1 shirts

Step-by-step explanation:

Mean can be found by adding all data points and dividing that by the total amount of data points.

There are 12 students selling shirt, which gives you 12 data points.

So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...

Which rounds to 4.1 shirts

Answer:

The correct answer is C: 4.1 shirts

Step-by-step explanation:

Did it on edge and got it correct

Hope This Helps!

Have a good day!

Answer:

Square Root of 81

Step-by-step explanation:

9 times 9 = 81

Answer:

175 I think

Step-by-step explanation:

I don't know really sorry

Answer:

26

Step-by-step explanation:

first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.

4x + 2 ⇒ 4(6) + 2

simplify the expression, starting with 4 · 6.

4(6) + 2 ⇒ 24 + 2

then add 24 + 2.

24 + 2 ⇒ 26

aaaand your answer is 26! hope this helps. have a lovely day! <3

Answer:

Step-by-step explanation:

(1,1) works

(3,-11) works too

Answer:

6°

Step-by-step explanation:

8m + 4° + 38° = 90°{ being complementary angles}

8m + 42° = 90°

8m = 90° - 42°

8m = 48°

m = 48° /8

m = 6°

Hope it will help :)

Answer:

it equals 17 tenths

Step-by-step explanation:

Answer:

the answer will be 0.7 for sure

Step-by-step explanation:

for the steps

the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9

so when you calculate (add) both

0.8+0.9

gives

0.7

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,

Percentage of freshman = 100% - 24% - 20% - 28%

                                         = 100% - 72%

                                         = 28%

Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,

Number of students = 28% of 1600

                                  = (28/100) × 1600

                                  = 448

Hence, the number of students that are freshmen in the university is 448.

Learn more about Percentages:

https://brainly.com/question/6972121

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Answer:

70% Decrease

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

Answer:

-(x-1) (3x+7)

Step-by-step explanation:

Answer:

-((x - 1)(3x + 7))

Step-by-step explanation:

Answer:

x = 129, rounded

Step-by-step explanation:

3x + 144 = 532

      -144   -144

3x = 388

divide both sides by 3

x = 129, rounded

Answer:

Your answer is 40%

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:ok

Step-by-step explanation: 2+2 =4 - 1 = 3 quick maths!

Answer:

B im pretty sure

Step-by-step explanation:

Answer:

Movie Rental B is better to buy. It's cheaper by .75 cents.

Step-by-step explanation:

Solving Movie Rental A

To find the unit rate of this one, we divide the dollars and the rentals.

So, 15 ÷ 3 = 5

Unit Rate for Movie Rental A is 5

Solving Movie Rental B

Same as Movie Rental A, divide the dollars and the Rentals.

8.5 ÷ 2 = 4.25

The number with the less amount is cheaper so

4.25 is less than 5

Answer:

≈ 6.2

Step-by-step explanation:

Common side of the triangles is:

Find x:

Answer:

(7+5.5)m + 5.5(2)

Step-by-step explanation:

Given:

Equation;

7m + 5.5(2+m)

Find:

Equivalent way

Computation:

7m + 5.5(2+m)

7m + 11 + 5.5 m

12.5m + 11

Or

(7+5.5)m + 5.5(2)

Answer:

$10000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

P = 2000 / ( 0.05 × 4 ) = 10000

P = $ 10,000.00

The principal required to

accumulate interest of $ 2,000.00

on a rate of 5% per year for 4 years is $ 10,000.00.

Answer:

142.5 gallons

Step-by-step explanation:

Divide 570 by 4 and then use that for one side