Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,

Similarly, in Δ ACD,

Hence, the mat is 4.33 ft high off the ground.
Answer:
Three angles measuring 75, 45, and 60.
Step-by-step explanation:
The linear equation for the number of cookies he receives, for x hours practicing the piano, is:

A <u>linear function</u> has the format given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- We have two points: (5,15) and (10,20).
- The slope is given by <u>change in y divided by change in x</u>, then:

Then

Point (5,15) means that when
, which is used to find b.


The, the function is:

A similar problem is given at brainly.com/question/16302622
Answer:
759 rolls
Step-by-step explanation:
Total rolls = 1265
Number of batches = 5
Since each batch hs the same number of rolls:
Number of rolls per batch :
1265 / 5
= 253 rolls per batch
Number of rolls in 3 batches :
253 * 3 batches
= 759 rolls
Answer:
y=1/2x-3
Step-by-step explanation:
y intercept, -3
slope 1/2