A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as shown.What is the length of the ramp? Round your answer to the nearest tenth of a foot.

A.
15.8 ft

B.
14.1 ft

C.
16.0 ft

D.
20.0 ft

Answers

Answer 1

Answer: To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
5^2 + 15^2 = c^2

Simplify it:
25 + 225 = c^2

Simplify again:
250 = c^2

Square root both sides:
15.8113883008 = c

So the ramp is:
15.8113883008 feet

Now round the number:
15.8ft

The above is the answer :)
(btw sorry in advance if you've spotted a mistake)

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What is the GCF of 6,42, and 12

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The GCF of 6, 42, and 12 is:

6.

What does it mean for a figure to be 3-D

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We are able to see the "entire" figure and not just one side or a "flat" side.

It's 3 dimensional. It means that it isn't flat. Like if you look at a person, they are thre dimensional. But if you look at a picture or a 2d movie, it's flat.

(2 5/8 + 2 1/2) - 4 2/3

Answers

Steps:
1. Do 2 5/8 + 2 1/2 by changing them so they have the same denominators. Since 2 goes into 8, 8 would be your common denominator.
2. Multiply 2 times 4 which equals 8. Multiply 1 times 4 which equals 4
3. Your new problem is 2 5/8 + 2 4/8
4. This equals 4 9/8 which equals 5 1/8
5. Do 5 1/8- 4 2/3 by multiplying both denominators and numerators by 3 and the second mixed number by 8
6. 8 times 3 equals 24
1 times 3 equals 3
7. 5 3/24
8. 3 times 8 equals 24
9. 2 times 8 equals 16
10. 5 3/24 - 4 16/24
11. Take from the whole number in 5 3/24
12. 4 27/ 24 - 4 16/24
13. Your answer is 11/24

You need to change the fractions so that they all have a common denominator (the bottom half of the fraction). So you have to fond a number that all three denominators go into. You have 8, 2, and 3. They all go into 24. Times all the fractions by whatever they need to make the bottom 24. but you can only times them by 1, or else it will ruin your equation. [3/3 x 5/8 = 15/24] [12/12 x 1/2 = 12/24] [8/8 x 2/3 = 16/24] now plug your new fractions into the problem. (2 15/24 +2 12/24) - 4 16/24. simplify the part in the parenthesis first, (4 27/24) - 4 16/24. since you are subtracting, you can leave the part in parenthesis as a wrong fraction. now subtract. 4 27/24 - 4 16/24 = 11/24. you can't simplify that to be a smaller number, so that is your answer:)[11/24]

What is the common denominator for 97,41,and 6

Answers

there is none because least common denominator

The object on the right is made from a square based pyramid...

Answers

Answer:

$7.81\ g/cm^3$

Step-by-step explanation:

step 1

Find the volume of the cuboid

The volume is equal to

$V=(6^2)(9)=324\ cm^3$

step 2

Find the mass of the cuboid

Remember that

The density is equal to divide the mass by the volume

The mass is equal to multiply the volume by the density

$m=(324)(0.68)=220.32\ g$

step 3

Find the mass of the square base pyramid

subtract the mass of the cuboid from the total mass

$970-220.32=749.68\ g$

step 4

Find the volume of the pyramid

The volume is equal to

$V=(1)/(3)(6^2)(8)= 96\ cm^3$

step 5

Find the density of the steel (pyramid)

divide the mass of the pyramid by the volume of the pyramid

$749.68/96=7.81\ g/cm^3$

Find the variance of the given data rounded to the nearest hundredth 3,4,5,7,10,12,15

Answers

Using it's concept, it is found that the variance of the given data-set is of 17.14.

What is the variance of a data-set?

It is the sum of the differences squared betweene each observation and the mean, divided by the number of values.

The mean of the given data-set is given by:

M = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8

Hence, the variance is given by:

V = [(3-8)² + (4-8)² + (5-8)² + (7-8)²+ (10-8)² + (12-8)² + (15-8)²]/7 = 17.14.

More can be learned about the variance of a data-set at brainly.com/question/25639778

#SPJ2

Answer:

(3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8

(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714

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A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as shown.What is the length of the ramp? Round your answer to the nearest tenth of a foot. A. 15.8 ft B. 14.1 ft C. 16.0 ft D. 20.0 ft

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What is the variance of a data-set?

A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as shown.What is the length of the ramp? Round your answer to the nearest tenth of a foot.

A.
15.8 ft

B.
14.1 ft

C.
16.0 ft

D.
20.0 ft