Answer:
x = 10
Step-by-step explanation:
if there 2 same triangle then they are right triangle
By using Pythagorean theorem for 1 of right triangle, we have
=
+ 
74 = 49 + 
74 - 49 = 
25 = 
therefore, x =
=
= 10
Answer:
Step-by-step explanation:
In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:
a = -32 ft/s/s
v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)
Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)
t = ?? sec.
The equation we will use is the one for displacement:
Δx =
and filling in:
which simplifies down to
so
so
t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)
Now we use that time in the x-dimension. Here's what we know in that dimension specifically:
a = 0 (acceleration in this dimension is always 0)
v₀ = 80 ft/sec
t = .968 sec
Δx = ?? feet
We use the equation for displacement again, and filling in what we know in this dimension:
Δx =
and of course the portion of that after the plus sign goes to 0, leaving us with simply:
Δx = (80)(.968)
Δx = 77.46 feet
Answer:
Negative Association.
Step-by-step explanation:
Association between variables:
Association between variables can be classified as positive or negative.
Positive: Both move in the same direction, that is, either both increase or both decrease.
Negative: The variables move in opposite directions, one increases and the other decreases.
In this question:
As the first increases the second decreases, that is, they move in opposite directions, so it is a Negative Association.
Answer:
130 crates
Step-by-step explanation:
270,000/90=3000/23
3000/23=130.43
rounded: 130 crates
Step-by-step explanation:
Hypotenuse : Opposite the right angle.
Opposite : Opposite the angle.
Adjacent : the last side left.
Your formulas.
Soh Cah Toa (Sin Cos Tan)
You'll be using Cos (Cah) because hypotenuse and adjacent are the only sides with something in it.
You rearranged formula :
Side length × Cos (Angle) = your answer to x