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2 years ago

In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Mathematics

1 answer:

Andrew [12]2 years ago

6 0

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

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To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let

Rudiy27

The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria

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2 years ago

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They are 12 units apart

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2 years ago

What is a equivalent ratio of 45 and 90

lakkis [162]

Answer:

90:180, 135:270, 180:360

Step-by-step explanation:

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2 years ago

Which expression is equivalent to -1.3 - (-1.9)

Verdich [7]

Answer:

-8-(-1)-5

Step-by-step explanation:

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2 years ago

What is the sign of −4ab when a>0 and b<0?

AVprozaik [17]

Answer:

Step-by-step explanation:

We have the expression:

$-4ab$

And we want to find its sign given that a>0 and b<0.

Notice that the expression is already negative since we have -4.

a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.

b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.

Therefore, the sign of our expression will be positive.

We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:

$-4(1)(-1)=4$

So, the sign is positive.

Hence, the answer is A.

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2 years ago