That's the wrong right triangle to draw. Reading the problem carefully we want this one, figure attached.
So we have the usual 30/60/90 triangle but not to scale. The sides come in ratio 1:√3:2=x:100:hypotenuse. So
x = 100/√3 ≈ 57.735
We add that to our 133.2 for the total height of the Cyclone, 190.935.
Answer: 190.9
Answer:
x = 6.25
Step-by-step explanation:
Suppose y = 2x - 2.5. Find x when y = 10
this gives us the equation:
10 = 2x - 2.5
add 2.5 to both sides
2x = 12.5
divide both sides by 2
x = 6.25
Please LMK if you have questions.
Answer:
(0,150)
Step-by-step explanation:
Remember that the y-intercept of a function is where x=0. Therefore, we need to plug in x=0 in the function to get y:
f(x)=150(1.25)^x
f(0)=150(1.25)^0
f(0)=150(1)
f(0)=150
Therefore, the y-intercept of the function is (0,150)
Answer:
(x-12)(x+7)
Step-by-step explanation:
x^2 - 5x - 84
You find the factors of 84:
1,84; 2,42; 3,28; 4,21; 6,14; 7,12
7 and 12 are 5 apart, so we use them:
(x - 12)(x + 7)
The 12 is negative because it's greater than 7, and the coefficient of x is negative 5.