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grandymaker [24]
2 years ago
15

Natasha is driving at a rate of 4 miles every 3 minutes. How fast is Natasha driving in miles per hour?

Mathematics
1 answer:
balandron [24]2 years ago
8 0
Answer: D

Explanation:
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A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha
lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

8 0
2 years ago
Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sees at a constant rate. At this rate, how many dresses does lu
IgorLugansk [536]

Answer:

Lucy sews \frac{16}{21} dresses in 1 hour.

Step-by-step explanation:

Given:

Lucy sews \frac{4}{7} of a dress in \frac{3}{4} hour.

She sews at constant rate.

We need to find the number of dresses she makes in 1 hour.

In \frac{3}{4} hour = \frac{4}{7} dress

So in 1 hour = Number of dresses in 1 hour

By using Unitary method we get;

Number of dresses in 1 hour= \frac{\frac{4}{7}}{\frac{3}{4}} = \frac{4}{7}\times \frac{4}{3}= \frac{16}{21}

Hence Lucy sews \frac{16}{21} dresses in 1 hour.

5 0
3 years ago
2y+7z-2z+4y+8+y+2 Combine Like Terms
Andrew [12]

Answer:

7y+5z+10

Step-by-step explanation:

7y+5z+10

8 0
2 years ago
Read 2 more answers
Answer this and show steps question #1,3,4
zimovet [89]
Here you go. Just remember PEMDAS. P-parentheses E- exponents M-multiplication D-division A-addition S-subtraction That is the order you will do it in.

5 0
3 years ago
An albatross can fly 400 kilometers in 8 hours at a constant speed using d as distance and t as number of hours. An equation tha
kow [346]

Answer:

Constant of Proportionality is 50.  

Step-by-step explanation:

Albatross can fly 400 kilometers in 8 hours.

'd' represents the distance and 't' represents the number of hours.

The equation d=50t represents the relationship between the distance and time.

Now, in the equation shown above 50 is the constant of proportionality, and 50 represents the rate of change of distance with time.

The constant of proportionality tells us the rate of change between two variables.

So for every 1 hour of time the distance covered is 50 kilometers.  

 

4 0
3 years ago
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