When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees
The Law of Sines states that
side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)
14 * Sine (41) / Sine (77) = side x
side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
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side x = 9.4264396482
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<span>The question is about the side length of a copy of the dartboard. We know that the original dartboard has sides that measure 9 inches. We also have the scale factor 0.25. The ratio of the corresponding sides is called the scale factor. If we have the scale factor 0.25 it means that for 1 unit of the original figure there are 0.25 units of length of a copy. Therefore: x = 9 * 0.25; x = 2.25 in. Answer: The side length of the dartboard Boyd drew is 2.25 inches.</span>
Answer:
The answer is: 31.96
Step-by-step explanation:
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Steps: Line up the equations then solve. 4*6 is 24 and 7*8 is 56 then round, tada!
4.7 x
<u>6.8</u>
<u>24.56</u>
<u>Round: 31.96</u>
Answer:
28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
Step-by-step explanation:
Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).
To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?
Solution:
Total Strands = 80
White Strands = 35%
No. of white strands = 
Blue Strands = 25%
No. of blue strands = 
Red Strands = 40%
No. of Red strands = 
Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
Answer:1.56
Step-by-step explanation:
For constant of proportionality of k,
y=(1/k)*x
If y =9,
9=7/k
K=7/9=0.78
y=0.78x
y=0.78*2=1.56
When x
