<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines

in this problem we have

therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines

In this problem we have
g=HI
G=angle Beta
substitute


therefore
<u>the answer Part 2) is</u>
Law of Cosines
Answer:
Option h: 16h
Step-by-step explanation:
To get the answer to the question divide 480 by 30 to get the rate which is 16. So the answer would be H
Hey there! I'm happy to help!
We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.
500=7,111p
Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.
7,111p=500
We divide both sides by 7,111.
p=0.0703
As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.
I hope that this helps! Have a wonderful day! :D
Answer:
Hi! I think I got the answer, it is a tricky one! The answer I got was C) 1029.
Step-by-step explanation:
1. It is good to first know that 40%more means 1.4 (some number). So, if n is 40% more than the sum of the other three numbers: n= 1.4* (<em>l +m+p)</em> .
2. Also note that: <em>n+l+m+p= </em>1764; so, <em>n = 1764-l-m-p.</em>
3. Since we have two expressions for n, we can equate them to each other. Giving, 1.4* (<em>l +m+p) =1764-l-m-p . </em>Simplifying we get 2.4 (<em>l +m+p)</em>=1764.
4. <em>l +m+p =1764/2=735.</em>
5. 1764-735=1029
Hope that helps! Feel free to message back if there are any questions!
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Answer:
x ≈ 2879.4 m
Step-by-step explanation:
Measure of ∠DAC = 10°
Measure of ∠DAB = 90°
Measure of ∠BAC = 90° - 10° = 80°
By applying cosine rule in ΔABC,
cos(80°) = 
= 
0.17365 = 
x = 
x = 2879.36
x ≈ 2879.4 m