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Tom [10]
2 years ago
8

You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour an

d then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally?
Mathematics
1 answer:
FromTheMoon [43]2 years ago
8 0

Answer:

The average speed for the whole rally is <u>45 miles per hour</u>.

Step-by-step explanation:

Given:

You have traveled 30 miles east and then 30 miles north. To get back to the start, I travel 30 miles west in 1 hour and then 30 miles south in a half hour.

Now, to find the average speed for the whole rally.

So, for getting the speed of 30 miles west in 1 hour.

By putting formula:

Speed = \frac{distance}{time}

Speed = \frac{30}{1}

Speed = 30\ miles\ per\ hour

Now, to get the speed of 30 miles south in half hour same way as above:

Speed=\frac{30}{0.5}

Speed = 60\ miles\ per\ hour

Then, to get the average speed.

We calculate the average of both the speed:

Average=\frac{30+60}{2}

Average=\frac{90}{2}

Average=45 miles\ per\ hour.

Therefore, the average speed for the whole rally is 45 miles per hour.

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andrey2020 [161]

Yo sup??

the answer is 1 because

P(E)+P(E')=1

where E is the event and

E' is the complement of the event

Hope this helps

3 0
3 years ago
The area of a rectangle is 44 square feet. The base of the rectangle is 11. Find the height, then find the perimeter
Alecsey [184]

Answer:

4

Step-by-step explanation:

Since the area of a rectangle = Length times Breath

We are just going to divide your are by breadth which is

Let your length become y

= y × 11 = 44

to get your answer you move× 11 over the equal to sign which becomes ÷11 because any sign that cross the equal to sign changes which is equal to

y = 44÷11

y = 4

what i did was that i divided 44 by 11 which is equal to 4

3 0
3 years ago
Eight times the sum of a number and 16 is at least -28 Use the variable w for the unknown number
Genrish500 [490]

Answer: (w+16)8 ≥ -28

*≥ means greater than or equal to. Since the value of the expression is AT LEAST -28, the number could be -28 or anything greater.

Hope this helps,

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8 0
3 years ago
A cone has radius 9 and a height 12. A frustum of this cone has height 4.
Anettt [7]

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

\displaystyle \frac{12}{8}=\frac{9}{x}

Solve for <em>x.</em> Simplify:

\displaystyle \frac{3}{2}=\frac{9}{x}

Cross-multiply:

18=3x\Rightarrow x=6

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

SH^2=12^2+9^2

Simplify:

SH^2=225\Rightarrow SH=15\text{ units}

Now, find the slant height of the upper cone:

(SH_\text{cone})^2=8^2+6^2=100

So:

SH_\text{cone}=10

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

SH_{\text{frustum}}=15-10=5\text{ units}

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

LA=\pi r\ell

The lateral area of the entire cone will be:

LA=\pi (9)(15)=135\pi

The lateral area of the upper cone will be:

LA_\text{cone}=\pi(6)(10)=60\pi

Then the lateral area of the frustum is:

LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2

5 0
2 years ago
If area of a sector of a circle of radius 36 cm is 54 pi cm square find the angle
dangina [55]

Answer:

15

Step-by-step explanation:

A= \pir^2

A1= \pi * 36^2

A1= \pi * 1296cm^2

A2= \pi * 54cm^2

1296/54= \frac{1}{24}

15 digreese

7 0
3 years ago
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