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Leya [2.2K]
3 years ago
5

What is the easiest to understand formula for solving 30 60 90 special right triangles?

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Step-by-step explanation:

30°, 60°, 90° triangle theorem states that:

Lengths of the side opposite to 60° angle is equal to root 3 upon two times of the length of hypotenuse and side opposite to 30° angle is equal to 1 upon two times of the length of hypotenuse.

Mathematically it can be expressed as:

Length \: of \: sides \: opposite \: to \: 60 \degree \: \\  angle \\  =  \frac{ \sqrt{3} }{ {2} }  \times length \: of \: hypotenuse.\\\\Length \: of \: sides \: opposite \: to \: 30 \degree \: \\  angle \\  =  \frac{1}{ {2} }  \times length \: of \: hypotenuse.\\\\

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What is the equation to (-3,1) and (0,-8)
puteri [66]
The change in x between the two is 3 and the change in y is -9. 
Divide -9 by 3 to get -3 using the rise over run slope formula.  
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation. 
Hope this helps!
4 0
3 years ago
PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)
Tema [17]

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

3 0
4 years ago
. Asking 100 students at a large university for their opinions on campus life is an example of measuring a _____.
Slav-nsk [51]

Answer:

B

Step-by-step explanation:

I am assuming that the university has much more than 100 students so 100 people is just a small sample.

3 0
3 years ago
Read 2 more answers
Solve for x. Round your answer to the nearest tenth. (one decimal place)<br><br> X=?? degrees
fredd [130]

Answer:

<em>Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)</em>

<u>Use tangent:</u>

  • tan x = 8/15
  • x = arctan (8/15)
  • x = 28.1° (rounded)
4 0
3 years ago
Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus
bulgar [2K]

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<u><em>Prestige car rentals</em></u>

we have that

The slope is equal to m=\$0.06\ per\ mile

The y-intercept is b=\$44

therefore

y=0.06x+44 -----> equation A

<u><em>Gateway auto</em></u>

we have that

The slope is equal to m=\$0.09\ per\ mile

The y-intercept is b=\$35

therefore

y=0.09x+35 -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

0.09x+35=0.06x+44

solve for x

0.09x-0.06x=44-35\\0.03x=9\\x=300\ miles

6 0
3 years ago
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