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Nesterboy [21]
3 years ago
14

Solve the equation for the unknown variable b³ = 5,832

Mathematics
1 answer:
Llana [10]3 years ago
8 0
All you would need to do for this equation is take the cubed root of 5,832

the answer ends up being b=18
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What is value of x? please help
bija089 [108]

Answer:

x = 27

Step-by-step explanation:

To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

\frac{x+8}{10}=\frac{2x-5}{14}

To solve for x, cross multiply:

(x+8)(14) = (10)(2x-5)

14x + 112 = 20x -50

        112 = 6x - 50

        162 = 6x

          27 = x

7 0
3 years ago
If tan x =8/15 and 0°<x<90°,find the value of cos x​
Shtirlitz [24]

9514 1404 393

Answer:

  15/17

Step-by-step explanation:

cos(arctan(8/15)) = 15/17

__

You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...

  h = √(8² +15²) = √289 = 17

The cosine is the ratio of the adjacent side to the hypotenuse, so is ...

  cos(x) = 15/17

6 0
2 years ago
For a project in her Geometry class, Chee uses a mirror on the ground to measure the
maria [59]

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

  • The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to =  1.4 meters

The distance from her eyes to the ground = 1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }

Which gives;

h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}

  • The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

brainly.com/question/10676220

7 0
2 years ago
Is (0,0) a solution to this system? y ≥ x^2 + x - 4, y&gt; x^2 + 2x + 1
Ipatiy [6.2K]
Y≥x²+x-4
y>x²+2x+1

Substitute (0,0):

0≥-4 true
0>1 false

(0,0) is not a solution of the system.
3 0
2 years ago
Read 2 more answers
Which of the following is an equation of the line through (2,3) and (-1, -12)?
SSSSS [86.1K]

Answer:

C (y=5x-7)

Step-by-step explanation:

First, you find the slope between the 2 points which is 5, then you use one of the points to form an equation.  

You then find it's y=5x-7.

8 0
2 years ago
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