1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aliun [14]
3 years ago
7

Angles of the elevation and depression: Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
ddd [48]3 years ago
7 0
Answer is 88.2

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

The bottom side is 500 units, so is the top side which is parallel to the bottom side. 

We'll use the tangent function as we know the adjacent side is 500 and the opposite side is the unknown x.

tan(angle) = opposite/adjacent
tan(10) = x/500
500*tan(10) = x
x = 500*tan(10)
x = 88.16349 ... use a calculator (make sure you are in degree mode)
x = 88.2 ... rounding to one decimal place

You might be interested in
The lengths of two sides of a triangle are 15 inches each. The third side measures 10 inches. What type of triangle is this? Exp
zloy xaker [14]

Answer: Isosceles

<u>Step-by-step explanation:</u>

When two sides of a triangle are congruent, it is an isosceles triangle.

When three sides of a triangle are congruent, it is an equilateral triangle.

5 0
3 years ago
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

3x+2y=2\\2x-y=6

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12

Next, use elimination to find the value of "x":

3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

5 0
3 years ago
Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution?
Solnce55 [7]
-5x + 5y = 40             -20x +20y =160               -5x + 5(8) = 40
4x + 3y = 24               20x +15y =120                -5x + 40 = 40
                                           35y = 280                   -5x =0
                                               y = 8                         x = 0

Hope you understood this
3 0
3 years ago
Read 2 more answers
3(x+6)-2=28 to 3(x+6)=30 associative commutative or distributive
tekilochka [14]

Answer:

associative

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A come and a pyramid has equal heights and volumes.if the base area of the pyramid is 154cm2.find the radius of the cone.
Dmitry_Shevchenko [17]

Answer:

Radius = 8.575 cm

Step-by-step explanation:

Formula for volume of a pyramid is;

V_p = ½Ah

Where A is area of base and h is height

Also, formula for volume of cone is given as;

V_c = ⅓πr²h

Now, we are told that V_p = V_c and that h is the same for both shapes.

Thus ;

½Ah = ⅓πr²h

h will cancel out to give;

½A = ⅓πr²

Cross multiply to give;

3A/2π = r²

Base area of pyramid is given as 154 cm². Thus;

(3 × 154)/2π = r²

r = √((3 × 154)/2π

r = 8.575 cm

4 0
3 years ago
Other questions:
  • How do you dove this
    7·1 answer
  • Find an equation of the vertical line that passes through (x, y) = (5, 11).
    15·1 answer
  • A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as
    14·1 answer
  • A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?
    14·1 answer
  • The area of a rectangle is 8x3 + 6x2 - 10x. The width of the rectangle is 2x. Find the length of the rectangle.
    15·1 answer
  • Please help me someone
    15·1 answer
  • Simplify the expression (2/9) ^2
    14·1 answer
  • Please help me with the correct answer
    9·2 answers
  • A car drives 50 miles in 40 minutes. how many miles does the car travel per minute
    11·1 answer
  • The cost of b tickets at $20 a ticket algebraic expression
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!