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pentagon [3]
3 years ago
13

What is the measure of x to the nearest degree? 8

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

We know that :

\sf{\bigstar \ \ Cos\theta = \dfrac{Adjacent \ Side}{Hypotenuse}}

From the figure, We can notice that :

Ф   Adjacent side length = 8

Ф  Hypotenuse length = 11

\sf{\implies Cosx^{\circ} = \dfrac{8}{11}}

\sf{\implies x^{\circ} = Cos^{-1}\bigg(\dfrac{8}{11}\bigg)}

\sf{\implies x^{\circ} = 43.34}

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Find the missing length for the right triangle described below. B = 21 ft, c=27 ft. Find side a. Round to the nearest whole numb
maksim [4K]

Answer:

16.97 ft

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Side B = 21 ft

Side c = 27 ft

As we know, formula for right triangle is as follows,

a^{2} + b^{2} = c^{2}

a^{2} = c^{2} - b^{2}

So, by putting the value in the formula, we get,

a^{2} = 27^{2} - 21^{2}

a^{2} = 729 - 441

a^{2} = 288

a = 16.97 ft

Hence, the length of the side  for the right triangle is 16.97ft.

6 0
2 years ago
A wall has an area of 40 square feet. Its height is 8 feet. Which equation could you use to find its width?
lord [1]

Answer:

40/8=5

Other side length = 5

Step-by-step explanation:

7 0
2 years ago
A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1
Karo-lina-s [1.5K]
<h3>Answer:  1.25 gallons</h3>

==================================

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

--------------

Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

5 0
3 years ago
Eje cartesiano y=-x+7<br> 2
victus00 [196]

Answer:

45

Step-by-step explanation:

*jjjjjjbjjjjjjjjjjjjjjjjjjjjjjjnnnnn

8 0
2 years ago
A submarine is diving to a total depth of 45 feet. It descends 15% of the total depth in 1 minute. How deep will the submarine b
telo118 [61]
after 4 mins the sub reaches 27 feet
8 0
3 years ago
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