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Levart [38]
3 years ago
7

What is the value of cos(A) in the diagram?

Mathematics
1 answer:
Kobotan [32]3 years ago
7 0
The answer is D) 60/61
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Solve the triangle. A = 54°, b = 11, c = 8
Delicious77 [7]
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9 

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
9/sin54° =  11/sinB
B = 80.4°

9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
5 0
3 years ago
PLEASE HELP I WILL REWARD BRANLIEST AND 99 POINTS!!!!
ch4aika [34]

Answer:

Step 3, because the solution should also include all the values for x between the two given values

Step-by-step explanation:

step 1

we have

y_1=\left|x-4\right|

y2=1

step 2

The graph in the given problem

step 3

Identify the solution when y1\leq y2

so

\left|x-4\right|\le1

using a graphing tool

The solution is the interval  -----> [3,5]

see the attached figure

All real numbers greater than or equal to 3 and less than or equal to 5

therefore

The first step in which the student made an error is step 3

6 0
4 years ago
Read 2 more answers
What is 90,090,010 in expanded form​
tester [92]

Answer:

90,000,000 + 90,000 + 10


I hope this helped!

Step-by-step explanation:


3 0
3 years ago
What is the measure of angle P?<br><br> Round only your final answer to the nearest hundredth.
Svetradugi [14.3K]

Answer:

i think its 130

Step-by-step explanation:

hope this helps? :|

5 0
3 years ago
The bill for lunch was 24.50 mr smith add a 20% tip how much did mr smith pay
miss Akunina [59]

Answer:

Mr.Smith paid $29.4.

Step-by-step explanation:

Mr.Smith paid $24.5 plus additional 20% of $24.5, and to figure out the total amount that he paid, we need to know what is 20% of $24.50.

20% of $24.50 is:

\frac{20}{100}*24.5=0.2*24.6=4.9.

Mr.Smith paid additional $4.9; therefore, the total amount he paid was

$24.5 + $4.9 = $29.4.

Mr. smith paid $29.4.

4 0
3 years ago
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