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aniked [119]
2 years ago
9

Find x. Round to the nearest tenth.

Mathematics
2 answers:
poizon [28]2 years ago
8 0

Angle of elevation remains same as they are alternative angles

  • cosØ=Base/Hypotenuse
  • cos31=400/x
  • x=400/cos31
  • x=466.65ft

Find y

  • tanØ=Perpendicular/Base
  • tan31=y/400
  • y=400tan31
  • y=240.34ft
lions [1.4K]2 years ago
4 0

Answer:

<u>x = 466.7 feet</u>

Step-by-step explanation:

Finding the top angle of the triangle :

  • They are complementary
  • 90° - 31°
  • 59°

Take the tan value of this angle to find y :

  • tan 59° = 400/y
  • 1.66427948 =400/y
  • y = 400 / 1.66427948
  • y = 240.344248

Using Pythagorean Theorem to find x :

  • y² + 400² = x²
  • x = √(240.344248)² + 160000
  • x = √57765.3575 + 160000
  • x = √217765.357
  • <u>x = 466.7 feet</u> (nearest tenth)
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A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ​ ≈ 3.14 and round your a
meriva

Answer:

15.98cm

Step-by-step explanation:

Given data

Volume= 602.88cm^3

Radius= 6cm

The formula for the volume of a cone is

V= 1/3 πr^2h

substitute

602.88= 1/3*3.142*6^2*h

602.88=1/3*3.142*36*h

602.88=37.704*h

h= 602.88/37.704

h= 15.98cm

Hence the height is 15.98cm

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3 years ago
How many different pairs of corresponding angles are in the figure?<br> 1/2<br> 4/3<br> 5/6<br> 8/7
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Answer:

There is 2 angles in the figure.

Step-by-step explanation:

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3 years ago
Which are the complementary angles?
Luda [366]

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

please amrk this answer as brainliest

8 0
3 years ago
Tariq left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got
choli [55]

Based on the graph (see attachment), Tariq is 4 minutes after he left his house, until he got back home.

<h3>What is distance?</h3>

Distance can be defined as the amount of ground covered (traveled) by a physical object or body over a specific period of time, regardless of its direction, starting point or ending point.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graph (see attachment) which models the time that elapses over the distance covered by Tariq, we have:

Time = 10 minutes - 6 minutes

Time = 4 minutes.

In conclusion, we can infer and logically deduce that Tariq is 4 minutes after he left his house, until he got back home.

Read more on graphs here: brainly.com/question/25875680

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2 years ago
Analyze the solution set of the following system by
blsea [12.9K]

Answer:

The equations in the slope-intercept form

y = - 2 x + 5

y = - 2 x + 3

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope of the line.
  • b is the y-intercept.

To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.

Let us do that with the given equations

∵ 2x + y = 5

→ Subtract 2x from both sides to move x to the right sides

∴ 2x - 2x + y = 5 - 2x

∴ y = 5 - 2x

→ Switch 5 and - 2x

∴ y = - 2x + 5

∵ 3y = 9 - 6x

→ Divide each term by 3 to make the coefficient of y = 1

∴ \frac{3y}{3}=\frac{9}{3}-\frac{6x}{3}

∴ y = 3 - 2x

→ Switch 3 and - 2x

∴ y = - 2x + 3

The equations in the slope-intercept form

y = - 2x + 5

y = - 2x + 3

7 0
3 years ago
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