All categories

2 years ago

A hot air balloon is released and it rises at a speed of 15 mph. A

Mathematics

1 answer:

Svet_ta [14]2 years ago

8 0

Answer:

The direction is 37 degree north of west.

Step-by-step explanation:

velocity of balloon, v = 15 mph upwards

velocity of wind, v' = 20 mph west wards

The direction is given by

$tan\theta = \frac{15}{20}\\\\\theta = 37^o north of west$

You might be interested in

-4a+14+7a-9<br> will give 88 points in first 10 minutes

TEA [102]

Answer:

3a+5

Step-by-step explanation:

add-4a and 7a

3a+14-9

subtract 9 from 14

3a+5

4 0

2 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

Which model shows two equal expressions when c= 4?

lapo4ka [179]

Answer:

the third answer

Step-by-step explanation:

c = 4

c + 1 = 1 + 1 + 1 + 1 + 1

4 + 1 = 1 + 1 + 1 + 1 + 1

5 = 5

3 0

2 years ago

Trevon and Riggs are brothers.

lord [1]

Answer:

Trevon is 28 years old

Step-by-step explanation:

Riggs =x

Trevon =7+x

7+x+x=49

7+2x=49

2x=49-7

2x=42

x=21

Trevon is 21+7= 28 years old

3 0

3 years ago

Read 2 more answers

X an y are proportional. What is the missing value in the table <br>

Leto [7]

Answer:

X+y

Step-by-step explanation:

6 0

3 years ago