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Shtirlitz [24]
3 years ago
8

Help please and explain why

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

9 cm tall

Step-by-step explanation:

The formula to find the volume of a cylinder is

V = pi r^2 (h)

pi r^2 is the base

Plug in the volume and the base

198 = 22 (h)

divide by 22

9 = h

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A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\
a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
3 years ago
F (x) = √2X-6<br> What is f(5)?
inessss [21]

Answer:

f(5) = 2

Step-by-step explanation:

<u>Given: </u>

  • Function f(x) = \sqrt{2x - 6}

<u>For x=5 :</u>

  • f(5) = \sqrt{2*5 - 6} = \sqrt{4} = 2
7 0
3 years ago
ANSWER PLEASE! 14 points if you do
Goshia [24]
The correct answer is C. 2y = 22
7 0
3 years ago
Equivalent fractions for 9/11, 15/17, and 2/3 using the least common denominator.
TiliK225 [7]
The (small) challenge here is to determine what the LCD is.  Since 11, 17 and 3 are all prime, we find the LCD by multiplying them together:  561.

Then 9/11= 459/561; 15/17 = 495/561; and 2/3 = 375/561.
8 0
3 years ago
What is the area of and the perimeter of this triangle?
Veseljchak [2.6K]

Answer:

A = 40 square yards; P = 33 yards.

Step-by-step explanation:

Perimeter of the triangle

= ( 8 + 15 + 10)

= 36 yards.

Area of the right angled triangle

= 1 /2 * 10 * 8

= 40 square yards.

Hope it will help :)

7 0
2 years ago
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