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MakcuM [25]
2 years ago
10

A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of t

he cylinder? Use the formula v=πr²h for the volume of a cylinder
Mathematics
1 answer:
Nana76 [90]2 years ago
6 0

Answer:

Step-by-step explanation:

Volume = pi·(r^2)*h

r = radius = (5x+4)

h = height = (2x+5)

 

Volume = pi·(r^2)

Volume = pi·(5x+4)^2*(2x+8)

Volume = pi·(25x^2+40x+16)*(2x+8)

Volume = pi·(50x^2+80x+32+200x^2+32x+128)

Volume = pi·(250x^2+112x+160)

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Select the correct answer from the drop-down menu.<br> Fill in the missing number in the equation.
noname [10]

Answer:

8

Step-by-step explanation:

a A + b A where A is a matrix and a and b are scalars

( a+b) A

3+5 \left[\begin{array}{cc}-1&2\\4&-5\end{array}\right] = 8\left[\begin{array}{cc}-1&2\\4&-5\end{array}\right]

         

7 0
3 years ago
Patrick is constructing the circumscribed circle for △RST.
castortr0y [4]
<span>You need to construct the two perpendicular bisectors (Any 2 of the 3 will do)
So the answer is :Construct the perpendicular bisector of ST</span>
5 0
3 years ago
Read 2 more answers
A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= - to find how many
Andre45 [30]

Answer:

6.1 seconds

Step-by-step explanation:

<u><em>The correct question is</em></u>

A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= √h/4 to find how many  seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second

we have

t= \frac{\sqrt{h}}{4}

substitute the value of h in the formula

h=600\ ft

t= \frac{\sqrt{600}}{4}=6.1\ sec

8 0
3 years ago
Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green
IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A)  2/9

5.D) 64%

Step-by-step explanation:    

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore,  If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = \frac{8_C_1}{30_C_1}

P(G) =  \frac{8}{30} = \frac{4}{15}

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of  blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= \frac{5_C_2}{10_C_2} = \frac{10}{45}

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%


3 0
3 years ago
Charlene wants to build a fence around her rectangular garden. The garden measures 20 meters by 60 meters. 
myrzilka [38]
The perimeter because the fence goes AROUND the yard, not in it.

P = 2w + 2l

P = 2(60) + 2(20)

P = 120 + 40

P = 160

Charlene needs 160 meters of fencing material.
3 0
3 years ago
Read 2 more answers
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