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3 years ago

The diameter of a circle is 6 in. Find its area to the nearest tenth.

Mathematics

1 answer:

Marrrta [24]3 years ago

8 0

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = $\pi r^2$

Diameter is equal to the radius times 2.

So, divide the diameter to get the radius.

6 divided by 2 equals 3.

Now, plug it into the formula.

$A = \pi (3)^{2}$

A = $9\pi$

Plug this into your calculator by multiplying 9 by pi.

We get the answer to be 28.3 when rounded to the nearest tenth.

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What does AD equal? PICTURE INCLUDED* Triangle congruence and similarity.

mafiozo [28]

Answer:

AD = 7

Step-by-step explanation:

Given that the two triangles are similar by the SSS (side side side) postulate, the triangles share the same ratios when it comes to their sides.

We know the values for lines DB, EB and CB, therefore we can solve for AB, and subtract DB to find AD

We can solve the problem by solving for x:

$\frac{x}{32} =\frac{21}{24}$

Cross multiply.

$24x = 672$

Simplify.

$x=28$

Subtract the value of DB to find AD.

$28-21=7$

$AD=7$

8 0

3 years ago

Consider a cylinder with a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cy

Arlecino [84]

Answer:

The correct answer is option A

Step-by-step explanation:

The volume of a cylinder is given by

$V = \pi r^{2} h\\$

Substituting the values of radius and height in above equation, we get -

$radius = \frac{diameter}{2} \\radius = \frac{8}{2} \\radius = 4 feet\\V = \pi 4^{2} h\\$

5 0

4 years ago

Read 2 more answers

HELP ME PLEASE AND EXPLAIN IT TOO! 28 Points!!!!!!!!!!

SIZIF [17.4K]

X=4
First find the solution to (x+1) ft. I chose to guess the answer as 4 and it worked (you’ll have to guess). I then plugged 4 into the other equation 2x. It became 2•4. Solving give the side length of 8 ft. Then you have to check to make sure they both have the same area. To do this just solve the equations.
First rectangle- 4•4= 16 ft area
Second rectangle- 2•8 = 16 ft area
( I’m really sorry if this is confusing)

4 0

3 years ago

Write the resultant of the two vectors as an ordered pair. –6 5 and 6 –5

RideAnS [48]

Answer:

Resultant vector of two vectors is (0, 0).

Step-by-step explanation:

in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.

We can represent these vectors in the form of

$\vec{A}=-6\hat{x}+5\hat{y}$