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Solnce55 [7]
2 years ago
13

Please help, thank you!

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

P = \frac{4}{25}\\

Step-by-step explanation:

Big circle area:

A=\pi r^{2} =\pi (10)^{2} =100\pi

Smaller circle área:

A=\pi (4)^{2} =16\pi

Probability:

P=\frac{16\pi }{100\pi } =\frac{4}{25}

Hope this helps

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I need help please ):
Otrada [13]

Answer;

X = 18: AD = 18

Step-by-step explanation:

Here, we want to find the measure of AD

From the given image;

AB = x + 3

AD = x

AC = 24 + 4 = 28

AE = 24

Substituting these values

we have ;

(x + 3)/x = 28/24

24(x + 3) = 28x

24x + 72 = 28x

28x - 24x = 72

4x = 72

x = 72/4

x =18

7 0
3 years ago
The Benson family drove 216 miles on the family vacation they used 7.6 gallons of gas how many miles per gallon of gas in daycar
Nitella [24]

Answer:

28.4 mpg

Step-by-step explanation:

Find the unit rate, that is, the number of miles per gallon:

216 miles

----------------- = 28.4 mpg (to the nearest tenth)

7.6 gallons

5 0
4 years ago
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
8 0
3 years ago
Read 2 more answers
A ball is dropped from the top of the stairs and reaches a velocity of 25 m/s, in 4 seconds. What is the acceleration of the bal
kodGreya [7K]
The acceleration of the ball would be 6.25

3 0
3 years ago
An investment firm invested in two companies last year. They invested $11,000 in Company A and made a profit of 24% . They inves
Tema [17]
First off, "whatever%" of "anything" is just (whatever/100) * anything

part A)

so... firm A got 11,000 invested, turned a profit of 24%, how much is 24% of 11000? well (24/100) * 11000

firm B got 14,000 invested, and returned 15% in profits, how much is 15% of 14000?   (15/100) * 14000

part B)

for the amounts above, we get 2640 and 2100 respectively

so, the total profit "amount" is 2640 + 2100 or 4740

the total investement was 11000+14000 = 25000

if 25000 is the 100%, how much is 4740 in percentage?

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
25000&100\\
4740&x
\end{array}\implies \cfrac{25000}{4740}=\cfrac{100}{x}

solve for "x"
6 0
3 years ago
Read 2 more answers
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