Three angels are labeled below with arcs. The smallest angel is 3/8 as large as the 160 degree angel. Find the value of angel a 

Answers

Answer 1
Answer: the\ smaller\ angle= (3)/(8) \cdot 160^0=(3)/(8) \cdot (160^0)/(1) = (3\cdot20^0)/(1) =60^0\n \na=360^0-(160^0+60^0)=360^0-220^0=140^0

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A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole. How tall is the flag pole?

Answers

Answer: 20 ft


Step-by-step explanation:

Given: The length of rope tied to the top of a flag pole=29 ft

The distance between base of the pole and the point on ground where the rope is stacked= 21 ft

Let x be the height of flagpole.

Now, we can see the figure that the given situation represents a right triangle

Where longest side= 29

By Pythagoras theorem of right triangle, the square of the longest side is equal to the sum of the squares of the other two sides.

29^2=21^2+x^2\n\Rightarrow\ x^2=29^2-21^2\n\Rightarrow\ x=841-441\n\Rightarrow\ x=400\n\Rightarrow\ x=√(400)\n\Rightarrow\ x=20

Hence, the height of flagpole = 20 ft.

It's like A2+B2=C2 so:
A2+B2=C2
A2+ 21(squared)=29(squared)
A2=441=841
A2=400
A=√(400)
A=20

A ladder, 14 feet long, is leaning againsta building. If the base of the ladder is 7
feet from the building, how high up the
building will the ladder reach?

Answers

Answer:

12.12ft

Step-by-step explanation:

14² = 7² + x²

x² = 14² - 7²

x² = 196 - 49

x² = 147

x = √147

x = 12.12ft

Answer:

12.6

Step-by-step explanation:

I rounded to the nearest tenth of a foot like it said to :)

A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?

Answers

Answer:

V = 392 pi in^3 or approximately 1230.88 in^3

Step-by-step explanation:

The volume of a can, which is a cylinder, is given by

V = pi r^2 h

   = pi (7)^2 * 8

   = pi *392

We can approximate pi by 3.14

V = 392 * 3.14

   =1230.88 in^3

Write the number 31 in tens and ones. 2 tens _ones

Answers

three tens and one ones.
3 tens actually and 1 one ones
Hope this helps:)

Hi, I need some help with this question about the circumference of a circle. Help would be greatly appreciated :)

Answers

Answer:

C = 18.84 ft

Step-by-step explanation:

C = 2 * pi *r

The radius is 3 ft

C = 2 * 3.14 * 3

C = 18.84

Y divided by 9 equals 81

Answers

The solution to the equation "Y divided by 9 equals 81" is Y = 729.

To solve the equation "Y divided by 9 equals 81,".

we can multiply both sides of the equation by 9 to isolate the variable Y:

(Y/9) × 9 = 81 × 9

On the left side, the 9s cancel out, leaving us with just Y:

Y = 81 × 9

Multiplying the numbers on the right side, we get:

Y = 729

Therefore, the solution to the equation "Y divided by 9 equals 81" is Y = 729.

To learn more on Equation:

brainly.com/question/10413253

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Answer:

729

Step-by-step explanation:

In order to solve this, you need to do the reverse operation. The question is about division, so that means we are going to do multiplication. If we multiply 9x81, we will know what divided by 9 equals 81.

9x81=729

So 729 divided by 9 equals 81.

To check this just plug the number you got back into the orignal equation:

Y divided by 9 equals 81

729 divided by 9 equals 81