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2 years ago

Can somebody please help me

Mathematics

1 answer:

tekilochka [14]2 years ago

7 0

To find the volume of a cylinder, the equation used is V = 3.14r^2h

r = 4, and h = 3, so we input both numbers to get V = 3.14*4^2*3

V = 3.14*4^2*3 = 3.14*16*3 = 3.14*48=150.72

V = 150.7 ft^3

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These two trapezoids are similar What is the correct way to complete the similarity statement?

pentagon [3]

Option A:

$\mathrm{ABCD} \sim \mathrm{GFHE}$

Solution:

ABCD and EGFH are two trapezoids.

To determine the correct way to tell the two trapezoids are similar.

Option A: $\mathrm{ABCD} \sim \mathrm{GFHE}$

AB = GF (side)

BC = FH (side)

CD = HE (side)

DA = EG (side)

So, $\mathrm{ABCD} \sim \mathrm{GFHE}$ is the correct way to complete the statement.

Option B: $\mathrm{ABCD} \sim \mathrm{EGFH}$

In the given image length of AB ≠ EG.

So, $\mathrm{ABCD} \sim \mathrm{EGFH}$ is the not the correct way to complete the statement.

Option C: $\mathrm{ABCD} \sim \mathrm{FHEG}$

In the given image length of AB ≠ FH.

So, $\mathrm{ABCD} \sim \mathrm{FHEG}$ is the not the correct way to complete the statement.

Option D: $\mathrm{ABCD} \sim \mathrm{HEGF}$

In the given image length of AB ≠ HE.

So, $\mathrm{ABCD} \sim \mathrm{HEGF}$ is the not the correct way to complete the statement.

Hence, $\mathrm{ABCD} \sim \mathrm{GFHE}$ is the correct way to complete the statement.

3 0

2 years ago

a study indicated that the citizens of Morristown waste and 5840 gallons of water last year this year they wasted 15% more than

joja [24]

Answer-

The total amount of water wasted this year is 6716 gallons.

Solution-

A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.

This year they wasted 15% more than that amount they wasted previous year.

15% of 5840 is,

$5840\times \frac{15}{100}=876$

The total amount of water wasted this year =

The amount of water wasted previous year + 15% more of the amount of that

= 5840 + 876

= 6716 gallons

Therefore, the total amount of water wasted this year is 6716 gallons

8 0

2 years ago

Read 2 more answers

A window has the shape of a rectangle with a semicircle at the top.

Sidana [21]

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

7 0

1 year ago

Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.

Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

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1 year ago

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Lunna [17]

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Step-by-step explanation:

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2 years ago