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2 years ago

What is the value of x in the triangle? х 30 7V3 60°

Mathematics

1 answer:

Hatshy [7]2 years ago

3 0

Answer:

A. 21

Step-by-step explanation:

Use the trigonometric function for the tangent of an angle because the adjacent side of the right-angled triangle is provided in the question, whilst the opposite side is x.

tan = opposite / adjacent

tan 60° = x / 7 * sqrt(3)

Now make x the subject of the equation.

x = tan 60° * 7 * sqrt(3)

x = 21

When multiplying, take into consideration all the digits on your calculator display.

Hope this helped!

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10x +2y = 64

Musya8 [376]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}10x+2y=64&\text{multiply both sides by 2}\\3x-4y=-36\end{array}\right\\\underline{+\left\{\begin{array}{ccc}20x+4y=128\\3x-4y=-36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad23x=92\qquad\text{divide both sides by 2}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\10(4)+2y=64\\40+2y=64\qquad\text{subtract 40 from both sides}\\2y=24\qquad\text{divide both sides by 2}\\y=12$

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3 years ago

What is the sum of three consecutive odd integers is 75?

tankabanditka [31]

Odd integers are 2 apart
they are n, n+2, n+4

the sum is 75

n+n+2+n+4=75
3n+6=75
minus 6 both sides
3n=69
divide both sides by 3
n=23
n+2=25
n+4=27

the integers are 23,25,27

7 0

3 years ago

Total surface area of the drawing

Crazy boy [7]

The pentagon's area is the sum of the 5 triangles that comprise it. This is

$5( \frac{1}{2}bh) \times 2=5(9)(6.2)= 279$

where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles

$5(bh)=5(9)(6)=270 \\ \\ 279+270=549km^2$

4 0

2 years ago

A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every t

Margarita [4]

Answer:

40+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=7 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

4 0

3 years ago

What is i^22 if i^2 is -1

Sever21 [200]

I^22 equals to -1 since i^2 is negative one

4 0

2 years ago