Answer:
Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .
In this problem they gave us a and c already so we are trying to find b.
3^2+?=5^2
9+?=25
25-9=16
Find the square root of 16 which is 4
Answer: The distance between the ladder and the slide is 4 meters
Answer:
y - 13 = (5/2)(x - 4)
Step-by-step explanation:
Here we know the slope and one point on the line. Use the point-slope formula:
y - k = m(x - h).
Substituting 13 for k, 4 for x and 2.5 for m, we get:
y - 13 = (5/2)(x - 4)
Answer: 
Step-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is given as:

first term = -15
common difference = -6 - (-15) = 9
number of terms
substituting into the formula , we have :


Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
The dimension of the document is 35 inches by 40 inches.
It is redrawn at a scale of 1 1/2 or 3/2 or 1.5
The dimension will be:
35 * 1.5 = 52.5 in
40 * 1.5 = 60 in
Then redrawn again at 1/4 or 0.25
52.5 * 0.25 = 13.125 in
60 * 0.25 = 15 in
So the final dimensions of the drawing is 13.125 in by 15 in