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ICE Princess25 [194]
3 years ago
9

Triangle ABC is a right triangle, angle B is the right angle, angle A is

Mathematics
1 answer:
pychu [463]3 years ago
4 0
The answer is 42 degrees.

A triangle has to equal 180 degrees in total. Because you know it is a right triangle and b is the right angle you make angle a plus c equal 90. You add together 8x and 9x to get 17x and add the 2 and 3 to get 5. You have to solve for x so you subtract 5 from both sides to get 17x = 85. To get x alone you divide both sides by 17 giving you x=5. Now that you have x you plug it into to the equation for angle a. This gives you 8(5)+2 which equals 42.

8x+2+9x+3=90
17x+5=90
17x=85
X=5

8(5)+2=
40+2=42
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from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee
Delvig [45]

Answer:

The  height of the building is 73.2\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

tan(38\°)=\frac{BC}{AB}

we have

AB=63\ ft

substitute and solve for BC

tan(38\°)=\frac{BC}{63}

BC=(63)tan(38\°)=49.2\ ft

Find the height of the building

The  height of the building (h) is equal to

h=BC+24=49.2+24=73.2\ ft

6 0
3 years ago
Use 3.14 on all questions on this text that use pi.
alexira [117]

Answer:

V_{cylinder}=3584\pi \thinspace yd^3

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

V_{cylinder}=\pi r^2 h

We're given that the radius=8 and height=56

V_{cylinder}=\pi r^2 h

V_{cylinder}=\pi (8)^2 (56)

V_{cylinder}=3584\pi \thinspace yd^3

6 0
3 years ago
NEED HELP QUICKLY!!
barxatty [35]
The answer is C 66 square inches
3 0
4 years ago
The manager of a store orders model railroad sets that cost $390 and sells them for $429. What is the mark-up, as a percentage?
Katarina [22]

Answer:

10%

Step-by-step explanation:

We have been given that the manager of a store orders model railroad sets that cost $390 and sells them for $429.  

We will use markup % formula for our given problem.

\text{Markup percentage}=\frac{\text{Selling price- Cost}}{\text{Cost}}\times 100

\text{Markup percentage}=\frac{429-390}{390}\times 100

\text{Markup percentage}=\frac{39}{390}\times 100

\text{Markup percentage}=\frac{1}{10}\times 100

\text{Markup percentage}=10

Therefore, markup is 10% of cost.

4 0
3 years ago
What is the shape of a
Delvig [45]

Answer:

B) Triangle.

Step-by-step explanation:

If you find a cross section <em>PARALLEL</em> to the base, it is the same shape as the base.

If you find a cross section <em>PERPENDICULAR</em> to the base, it is the same shape as the face.

In this case, the cross section will be the same shape as the pyramid's faces, which are triangles.

4 0
4 years ago
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