2p - 3q - 4r + 6r - 2q + p = 0
2p + p - 3q - 2q - 4r + 6r = 0
3q - 5q + 2r = 0
Using relations in a right triangle, it is found that:
- Since x and y are complementary angles, we have that sin(xº) = cos(yº).
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
The hypotenuse in this problem is given as follows:


h = 10.
The sine of x is:

The cosine of y is:

Since x and y are complementary angles, we have that sin(xº) = cos(yº).
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
D
C
Nameric Response
a
Step-by-step explanation:
a rectangular tabletop has diagonal
The slope of the line on the graph represents Pete's speed. That slope is 8 miles/hour.
Paul walks 2 miles in 0.4 hours, so walks at (2/0.4) miles/hour = 5 miles/hour.
a) Pete is moving at a greater rate.
b) At 8 miles per hour, it takes Pete (2 mi)/(8 mi/h) = 1/4 h = 15 minutes to get to school. If Pete leaves 5 minutes later than Paul, he will reach school 20 minutes after Paul starts, while Paul is still 4 minutes away from the school.
Yes, Pete will catch Paul before they get to school.
Answer:
<em>188 yards </em>
Step-by-step explanation:
Given
Length of one balloon = 12 feet
Since 1 foot = 1/3 yards
12 feet = x
Cross multiply
1 * x = 1/3 * 12
x = 12/3
x = 4 yards
Hence one balloon will be 4 yards long.
If one balloon = 4 yards long
47 balloons = y
Cross multiply;
1 * y = 4 * 47
<em>y = 188yards</em>
<em>Therefore Cesar will need 188 yards of string for 47 ballooons</em>
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