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loris [4]
3 years ago
13

Suppose a potato is round and has a radius of 1.2 inches. Find the volume of the potato. Round to the nearest tenth of a cubic i

n.
A: 6.9 cubic inches
B: 5.4 cubic inches
C: 8.7 cubic inches
D: 7.2 cubic inches
Mathematics
1 answer:
stepladder [879]3 years ago
8 0
My answer would be c
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On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?
WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is 1\ inch: 20\ miles

That means

1 inch on a map represent 20 miles in the city

so

An area of (1)(1)=1\ in^2 on a map represent an area of (20)(20)=400\ mi^2 in the city

Applying proportion

\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2

3 0
3 years ago
Sophia had 64¢ until she spent 1 quarter. How much money does Sophia have now?
aleksklad [387]

Answer:

Sophia now has 39 cents.

Step-by-step explanation:

One quarter = 25 cents

Since Sophia had 64 cents until she spent 25 cents (1 quarter).

So we subtract 25 cents from 64 cents.

\:  \:  \: 64 \: cents \\  \frac{ - 25 \: cents}{ \:  \:  \: 39 \: cents}

Therefore, Sophia now has 39 cents.

7 0
2 years ago
A tunnel is 300 feet deep and makes an angle of 30 with the ground .
Goshia [24]

Answer:

\boxed{C.\:\: 600\:feet}

Step-by-step explanation:


The tunnel, the ground and the depth of the tunnel form a right angle triangle.

The length of the tunnel is the hypotenuse of the right triangle that has been formed.


Let the length of the tunnel be m\: feet.


Using the sine ratio, we obtain;


\sin(30\degree)=\frac{Opposite}{Hypotenuse}


The length of the opposite side is 300\:feet


We substitute the given values to obtain;


\sin(30\degree)=\frac{300}{m}


\Rightarrow \frac{1}{2}=\frac{300}{m}


We cross multiply to obtain;


m=300\times2


m=600\:feet


Therefore the correct answer is C.


4 0
2 years ago
An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours
Firdavs [7]

Answer

Find out the  which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be  12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted  from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

n = \frac{50}{12.5}

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate  is 8 hours  and at the night rate is  4hours .

Hence proved



4 0
3 years ago
HELP! I put the formula but I don’t know the radius
ahrayia [7]

Answer:

C. 8,624

Step-by-step explanation:

recall that the formula for circumference is

Circumference = 2πr  ( = given as 85 meters)

hence,

85 = 2πr

r = 85/(2π)

given h = 15m

volume of cylinder

= πr²h

= π (85/2π)² 15  (using calculator and assuming π = 3.14)

= 8628.58

Comparing with the choices, the closest choice (within rounding error) is C. 8,624

8 0
3 years ago
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