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Answer:
Approximatley 5.8 units.
Step-by-step explanation:
We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:
Replacing them with the respective variables, we have:
Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for <em>t</em>. Ignore the third term:
Solve for <em>s</em>, the unknown side. Cross multiply:
Answer:
46.7%
Step-by-step explanation:
Given:
Total number of students in Mrs. Verner's class = 15
Number of girls = 8
To find: percentage are boys
Solution:
Percentage of boys = ( Number of boys / Total number of students ) × 100
Number of boys = Total number of students - Number of girls = 15 - 8 = 7
So,
Percentage of boys = × 100 = 46.7%
Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
