Answer:
smaller angle = x
larger angle = 3x + 8
x + 3x + 8 = 180
4x + 8 = 180
4x = 172
x = 43
The smaller angle measures 43 degrees.
The larger angle measures 137 degrees.
Conversion:
3 km - 3000m
0.5 km - 500 m
1.05 km - 1050 m
Solution:
3, 000 m = 500m + 1050m + n
3, 000 m = 1550m + n
n = 3, 000 m - 1550m
n = 1450m
1.45 kilometers must PJ hike to reach the river.
The probability that the new UNC-CH logo will be profitable is <u>0.9897 </u>while the probability for NC State will be <u>0.9600.</u>
<h3 /><h3>What is the probability that the brands will be successful?</h3>
The probability that the UNC-CH logo is successful is:
= Favorable odds / Total odds
= 96 / (96 + 1)
= 0.9897
The probability that the NC State logo is profitable is:
= Favorable odds / Total odds
= 24 / (24 + 1)
= 0.9600
There is less than a 3% variation in both logos' profitablility probability so the company should not spend 4 times more on UNC-CH.
Find out more on probabilities of profit at brainly.com/question/13500115.
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Answer:
The area of the smaller triangle is 75.
Step-by-step explanation:
Here, the ratio of the sides of the similar triangle are 5 : 6
The area if the larger triangle = 108
let us assume that the area of the smaller triangle = m
By the Theorem:
In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.
Similarly, here
 ^2](https://tex.z-dn.net/?f=%5Btex%5D%28%5Cfrac%7B5%7D%7B6%7D%29%20%5E2)
= \frac{m}{108}[/tex]
⇒
or, 
⇒ m = 75
Hence, the area of the smaller triangle is 75.
