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NeTakaya
3 years ago
15

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by

what factor to produce the radius of sphere B?
Mathematics
2 answers:
Naily [24]3 years ago
6 0
1.75 you just divide 42 with 24
WINSTONCH [101]3 years ago
3 0

Answer:

\frac{7}{8}

Step-by-step explanation:

We have been given that

Radius of A = 24 cm

And Diameter of sphere B = 42 cm.

We know that radius is half of the diameter.

Hence, radius of sphere B = 42/2 =21 cm

Let the radius of sphere A is multiplied by 'k' to produce the radius of sphere B.

Thus, we have

24k=21

Solve for k

k=\frac{21}{24}\\\\k=\frac{7}{8}

Therefore, radius of sphere A is multiplied by \frac{7}{8} to produce the radius of sphere B.

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Can someone solve this! Need it done soon
Airida [17]

Answer:

117.5 ft²

Step-by-step explanation:

To find the area of the shaded area, we can find the area of the square, then subtract the areas of the two semicircles.

First, we will find the area of the given square, by using the formula lw, multiplying the length and width. The dimensions of this square are 14×14.

14 · 14 = 196

The area of the square is 196 ft².

We can now find the area of the two congruent half-circles. Since they are identical, we can simply find the area of one circle if it was whole. To find the area of a circle, we'll use the formula A=\pi r^2. With some simple deduction, we can see that the diameter of the circle is 10 ft, so the radius would be 5 ft long. Plug our values into the formula.

A = \pi5²

We will use 3.14 for \pi.

A = 78.5

The area of both the semicircles is 78.5 ft².

Now, we can subtract.

196 - 78.5 = 117.5

The area of the figure is 117.5 ft².

Good luck ^^

7 0
3 years ago
In 2000, the population of Big Springs was 13 thousand. Use the given doubling
trasher [3.6K]

Answer:

The answer is "26179.4".

Step-by-step explanation:

Assume year 2000 as t, that is  t =0.

Formula:

A= A_0e^{rt}

Where,

A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year

for doubling time,

r = \frac{log (2)}{t} \\

r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007

Given value:

A = A_0e^{rt} \\\\

A_0 = 13000

t= 40 \ years

when year is 2000, t=0 so, year is 2100 year as t = 100.

A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4

7 0
3 years ago
6.3 + |8.7 + (-6.8)|
igor_vitrenko [27]

Answer:

21.8

Step-by-step explanation:

7 0
3 years ago
Giving medal. A new car that sells for $21,000 depreciates (decreases in value) 16% each year. Write a function that models the
Natali5045456 [20]
$21,000-16%
16% of $21,000 is $3,360
$21,000-$3,360=$17,640
1st year would be $17,640

16% of $17,640 is  $2,822
$17,640-$2,822 is $14,817
2nd year would be $14,817

16% of $14,817 is $2,370
$14,817-$2,370=$12,446
3rd year would be $12,446

$12,446 rounded would be $12,447

So A) $12,447

Hope this helps out :)
4 0
3 years ago
Read 2 more answers
yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles
mamaluj [8]

Answer:

it could be C or a

Step-by-step explanation:

more likey c be sorry if it's wrong

8 0
3 years ago
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