Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the above is really helpful if you don't have a brain. :P
for 7 we only need Pythagoras's theorem, know it?
=
+ 
out of curiosity.. does the above formula seem "impossible" ? or does it make sense?
=
+ 
= 144 + 256
= 400
c = 
c = 20
x= 20
for 8 we do need the above list of trig functions. we want to find the Hyp x and we know an angle and the adjacent side sooo use Cos .. b/c we can see it's got those parts in it
Cos(60) = 18 / x
I'll show you the algebra we need to use to get this formula so that we can find x
A = B / x ( this is how it looks above )
x = B / A , now just put in the parts
x = 18 / Cos(60) now solve it w/ your calculator.. :P Cos(60) happens to be 1/2 so you could have done this w/o your calculator :/
x = 36
there you go, :)
The TV is 45 inches tall.
Step-by-step explanation:
The diagonal length of television = 53 inches
Width of TV = 28 inches
As TV is in rectangular or square shape, a diagonal will form a right triangle
Where,
Diagonal = hypotenuse = c = 53 inches
Width = base = b = 28 inches
Length = perpendicular = a
we will use pythagorean theorem to find the length.

Taking square root on both sides

The TV is 45 inches tall.
Keywords: triangle, square root
Learn more about square root at:
#LearnwithBrainly
Each term is 4 times the previous one.
<u>STEPS:</u>
1) set up an equation. use x as a variable
2x + 3x = 25
2) solve the equation for x:
5x = 25
x = 5
3) Now that you know the value of x, substitute it into the expression for how any girls there are, which is "3x" (since the ratio of BOYS to GIRLS is 2:3):
3x
= 3(5)
= 15
So 15 is your answer, and there are <u>15 girls in the class.</u>
1. 2/100 or 1/50, as 0.02 is equal to 2 hundreths. Simplifying gets you 1/50
3. 1/2 or 50/100, as 0.50 is equal to 0.5 which is equal to 50 hundreths. Simplify to get 1/2
5. 88/100 or 44/50 , as 0.88 is equal to 88 hundreths. After simplifying, you get 44/50
Depending on your teacher, you may be told to not simplify. It depends