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2 years ago

HELP DUE IN 15 MINS!

Mathematics

1 answer:

Tasya [4]2 years ago

5 0

Answer:

Area of the sector = 47.52π

Step-by-step explanation:

Area of the sector of the circle;

A = ∅ / 360 * πr²

We know that;

∅ = 120

r = 12

So now we can substitute;

A = (120 / 360) * π(12)²

A = 0.33 * 144π

A = 47.52π

Hope this helps!

You might be interested in

A. When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time? *

LenaWriter [7]

Answer:

Part a) The number is 8

Part b) The initial number of bacteria is 4

Part c) $y=4(8)^x$

Part d) $y=100(8)^x$

Step-by-step explanation:

we know that

The equation of a exponential function is equal to

$y=a(b)^x$

where

y is the number of bacteria

x is the time in hours

b is the base of the exponential function

a is the initial number of bacteria

Part a) When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time?

we know that

For x=1 h ----> y=32 bacteria

For x=2 h ----> y=256 bacteria

For x=3 h ----> y=2,048 bacteria

For x=4 h ----> y=16,384 bacteria

For x=5 h ----> y=131,072 bacteria

For x=6 h ----> y=1,048,576 bacteria

256/32=8

2,048/256=8

16,384\2,048=8

131,072/16,384=8

1,048,576\131,072=8

the base of the exponential function b is 8

Part b) What is the initial number of bacteria? (at time zero)

we know that

The number of bacteria at time x=1 hour , divided by the number of bacteria at time x=0 must be equal to 8 (see part a)

$\frac{32}{a}=8$

solve for a

$a=32/8=4\ bacteria$

Part c) Write a rule for this table

we have

$y=a(b)^x$

we have

$a=4\\b=8$

substitute

$y=4(8)^x$

Part d) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Write the function rule for this situation

In this case

$a=100$

$b=8$ ---> the growth factor is the same

$y=100(8)^x$

6 0

3 years ago

Read 2 more answers

Which of the following is equal to g(x)?<br> A. 1/3 (x)<br> B. (x+3)<br> C. (x) - 3<br> D. (x - 3)

DochEvi [55]

I think that the answer is d

7 0

2 years ago

Help with this question ASAP!

user100 [1]

Answer:

After 4s

Step-by-step explanation:

Given the ball is initially projected upwards with a velocity of 64ft per sec and we are required to find the time at which it reaches the ground .There are many approaches to solve this problem we will follow this one:

It is also known as the time of flight for the ball which can be found by doubling the time taken for the ball to reach to its maximum height or the point where velocity is zero.

Now $h(t)=-16\times t^{2} +v_{0} \times t+h_{0}$