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3 years ago

Ben drives 405 miles on 15 gallons. How many miles does Ben drive on one gallon?

Mathematics

1 answer:

wel3 years ago

6 0

Answer:

B. 27 miles per gallon

Step-by-step explanation:

In order to solve for this, you just have to divide:

$\frac{405}{15} =27$

Hopefully I helped :)

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If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?

disa [49]

Answer:

The length is 600 ft

Step-by-step explanation:

We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width

a^2 + b^2 = c^2

450 ^2 + b^2 = 750^2

b^2 = 750^2 - 450^2

b^2 =562500-202500

b^2 =360000

Taking the square root of each side

sqrt(b^2) = sqrt(360000)

b =600

4 0

3 years ago

What is the answer to 3/5q=1

elena-14-01-66 [18.8K]

3/5q = 1 Given

(3/5) 3/5q = 1(3/5) Multiply each side by 3/5 (Mult. Prop. of Equal)

q = 3/5 Simplify

6 0

3 years ago

Read 2 more answers

Dot got a 75% on her test. She missed 12 questions. how many questions were on the test

AleksAgata [21]

Well, if it was out of 50, it would be 76%.

So the answer might be 50 questions total, but maybe there was 49 questions total.

I would probably go with 50 questions total.

7 0

3 years ago

The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

7 0

3 years ago

Read 2 more answers

Solve each proportion. 2/8=5/r+8

brilliants [131]

Answer:

r=-20/31

Step-by-step explanation:

1)divide the numbers

2) subtract 8 from both sides of the equation

6 0

2 years ago