In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg in inches?

Answers

Answer 1
Answer: Solutions 

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. 

c^2 = 20 in

a^2 = 15 in

b^2 = Unknown 

------------ Calculations 

b^2 = c^2 - a^2  

b^2 = c^2(20) - a^2(15) 

b^2 = 400 - 225 

b^2 = 175 

b = √(175) 

b = 13.2287565553 





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How do I solve 3.2x+0.2x^2-5=0

Answers

3.2x+0.2x^2-5=0\ \ \ \ |both\ sides\ multiply\ by\ 5\n\n16x+x^2-25=0\n\nx^2+16x-25=0\n\na=1;\ b=16;\ c=-25\n\n\Delta=b^2-4ac\to\Delta=16^2-4\cdot1\cdot(-25)=256+100=356\n\nx_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(356)=√(4\cdot89)=2√(89)\n\nx_1=(-16-2√(89))/(2\cdot1)=-8-√(89);\ x_2=(-16+2√(89))/(2\cdot1)=-8+√(89)

What is the exact volume of a cylinder that has a height of 4.9 yd and a radius of 2.2 yd?yd3

Answers

First, you multiply 2.2 by itself to get the diameter, and then multiply the answer you got by the height: 2.2 times 2.2 equals 4.84, then 4.84 times 4.9 equals 23.716. 23.716 is the answer. 23.716 yd3

How to solve this problem?

Answers

85.33 is the exact answer

19x – y – 2z + x + 5y + 2z

Answers

19x - y - 2z + x + 5y + 2z \n \n (19x + x) + (-y+5y) + (-2z + 2z) \ / \ gather \ like \ terms \n \n 20x + 4y \ / \ simplify \n \n Answer: \fbox {20x + 4y}

I’m having trouble with this one as well

Answers

The answer here would be

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A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground 60m away from the flagpole, the top of the flagpole and the top of the building line up. If the flagpole is 35m tall and Marquis is 170m from the building, how tall is the building?

Answers

The height of the office building is 99.2 meters

The given parameters are:

  • d1: The flagpole's distance from the office building = 60 m
  • d2: Marquis' distance from the office building = 170 m
  • h1: Height of the flagpole = 35 m

The above parameters can be represented using the following equivalent ratio

h1 : d1 = h2 : d2

Express as fraction

(h1 )/( d1) = (h2 )/( d2)

So, we have:

(35)/(60)=(h2)/(170)

Multiply both sides by 170

170 * (35)/(60)=h2

99.2=h2

Rewrite as:

h2 =99.2

Hence, the building is 99.2 meters tall

Read more about equivalent ratios at:

brainly.com/question/2328454

Answer:

99.17m

Step-by-step explanation:

In the diagram, Marquis is at Point A and the flag pole is length DE, the building is of length BC.

Triangles ADE and ABC are therefore similar right triangles.

Applying this,

[TeX]\frac{|DE|}{|AE|}=\frac{|BC|}{|AC|}[/TeX]

[TeX]\frac{35}{60}=\frac{|BC|}{170}[/TeX]

|BC|=170*35÷60

|BC|=99.17m