Answer:
20.2 units²
Step-by-step explanation:
½ × 10 × 5 × sin(54)
20.22542486
Answer:
12.56
Step-by-step explanation:
4 ×3.14 to get 12.56
Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:

Where

therefore:

Answer:
A
Step-by-step explanation:
Given the zeros are x = - 1 and x = 3 then the factors are
(x + 1) and (x - 3) and the parabola is the product of the factors, that is
y = a(x + 1)(x - 3) ← where a is a multiplier
To find a substitute (0, - 9) into the equation
- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
3 = a, thus
y = 3(x + 1)(x - 3) ← expand the factors using FOIL
= 3(x² - 2x - 3) ← distribute by 3
= 3x² - 6x - 9 → A
Answer:
28
Step-by-step explanation:
Convert 2.5 to minutes = 150 minutes. Then divide 4200/150 which gives you 28 per minute