Answer:

Step-by-step explanation:
Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

(Where
is the first point and
is the second point)
-Apply both points onto that formula:



-Solve:



Since it varies directly, divide the number of shots by the number of goals:
48 shots / 4 goals = 12
This tells you they score a goal every 12 shots.
Multiply shots needed by number of goals:
12 x 3 = 36
They need 36 more shots to score 3 more goals.
Answer:
<em>2.983 </em>ft/sec
Step-by-step explanation:
Given that
Distance between center and Jasmine riding on a carousal = 9.5 feet
Time taken to complete one rotation = 20 seconds
To find:
Jasmine's linear speed = ?
Solution:
Number of revolutions per minute = 
Formula for linear speed is given as:

Where
is the radius of circular path and
is the number of revolutions per minute.

Therefore, the linear speed is <em>2.983 ft/sec.</em>
Answer:
1) For 3 tickets, the cost is $12
2) For 5 tickets, the cost is $20
3) $28 can purchase 7 tickets
4) For 10 tickets, the cost is $40
Step-by-step explanation:
1) For 3 tickets
8 = 2
x = 3
(8 ÷ x) = (2 ÷ 3)
Cross multiply,
2x = 8 x 3
2x = 24
x = 24 ÷ 2
x = $12
Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.
I hope this helps.
Answer:
Option A is correct.
Step-by-step explanation:
If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.
The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T
Therefore, according to the property of similar triangles we can write that
.
Therefore, option A is correct.