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Free_Kalibri [48]
3 years ago
5

Help me answer question 8a and b, and I’ll give u 10 points lol

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

Find h when v = 20 and r = 3

Putting values in the formula

20 = (3.14)(3)2h

20 = (3.14)(9)h

20 = 28.26h

20/28.26 = h

R when v = 100 and h = 5

100 = (3.14)r2(5)

100/5 = 3.14r2

20 = 3.14r2

20/3.14 = r2

6.36 = r2

Square root on both sides

2.52 = r

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The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population i
Ksivusya [100]

Answer:

P(t) = 9800(1.06)^t

P(8) = 15620

Step-by-step explanation:

For growth the equation is

y = ab^x  where a is the initial value, b = 1 plus the growth percentage, and x is the number of years

P(t) = 9800 (1+.06) ^t

P(t) = 9800(1.06)^t

from 2000 to 2008 is 8 years

P(8) = 9800(1.06)^8

15619.71113040224768

We can only have whole foxes

P(8) = 15620

3 0
3 years ago
I need help. (image below)
vovangra [49]

Answer:

∠5 = 35°

Step-by-step explanation:

∠5 = ∠2  because they are alternate interior congruent angles

∠5 = 35°

7 0
3 years ago
Write and solve an equation using the constant of proportionality to answer each question.
yaroslaw [1]

Answer:

15 teachers

Step-by-step explanation:

Given:

number of children is c

number of teachers is t

\frac{c}{t} = \frac{14}{3} (rearrange)

t = \frac{3}{14} x C

When C = 70,

t = \frac{3}{14} x 70

t = 15 teachers

8 0
3 years ago
Read 2 more answers
A 'snail's pace is 60 inches per minute. At this rate how long will it take the snail to crawl 120 feet?
True [87]
Ok, so here, we have the unit rate of the snail. Now, we need to set up a proportion.

60/1 = 120/x

Now, cross multiply.

60*x = 120*1

60x= 120

Now divide to solve for x.

60x/60 = 120/60
x = 120/60 
x= 2

Now our final answer is 2.

Final answer:- The snail will take 2 minutes to crawl 120 feet

5 0
3 years ago
Read 2 more answers
Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra
astra-53 [7]

Answer:

a. b. c. and d.  are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

                                  &

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

<em>a. 3/4 of a 4-gallon mix would be yellow paint.</em>

<em>True. 3 out of 4 gallon mix is yellow and 1 out 4 is red</em>

<em />

<em>b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.</em>

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

<em>1/3 gallon of red paint: 1 gallon of yellow paint. True</em>

<em />

<em>c. Every 1 gallon of red paint requires 3 gallons of yellow paint.</em>

<em>True. </em>1 gallon of red paint : 3 gallons of yellow paint

<em />

<em>d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.</em>

<em>True. 1 out of 4 is red and 3 out of 4 is yellow.</em>

<em />

<em>e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.</em>

<em />

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

<em />

6 0
3 years ago
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