All categories

4 years ago

In triangle ABC, the lengths of the sides in feet are a=23, b=14, c=18 . Find angle C.

Mathematics

1 answer:

Thepotemich [5.8K]4 years ago

7 0

Answer: Angle C = 51.5°

Step-by-step explanation:

The diagram of the triangle is shown in the attached photo.

we would apply the law of Cosines which is expressed as

c² = a² + b² - 2bcCosC

Where a,b and c are the length of each side of the triangle and C is the angle corresponding to c.

Therefore,

18² = 23² + 14² - 2(23 × 14)CosC

324 = 529 + 196 - 2(322)CosC

324 = 725 - 644CosC

644CosC = 725 - 324

644CosC = 401

CosC = 401/644

CosC = 0.623

C = Cos^- 1(0.623)

C = 51.5° to the nearest tenth

You might be interested in

in a bag there are two blue marbles, three red marbles, and four green marbles, what is the probability of selecting a blue marb

MakcuM [25]

2 plus 3 plus 4 equals 9
So 2/9 chance you would get a blue marble

8 0

3 years ago

Which equation represents a line perpendicular to the line shown on the graph?

Vera_Pavlovna [14]

Answer:

y= one-fourth x+5

Step-by-step explanation:

7 0

3 years ago

Points m,j,l and j lie on a line. Point j is between m and l , ml = 11 , kl=14 , and kj=9. What is mj?

yKpoI14uk [10]

We have points on a number lines, numbers basically, we'll call J, K, L and M.

We're interested in the lengths of line segments, which are the absolute differences of the numbers.

We have J between M and L. Let's say L < J < M.

We have some leeway, let's just pin down L=0. That's the origin of our number line.

Since ML=|M-L|=11 and L<M we conclude M=11. Our inequality is

0 < J < 11.

Now we have KL=|K-L|=|K|=14 so K=14 or K=-14

|KJ|=9.

Case 1: K=14, so 14-J=9 or 14-J=-9 so J=5 or J=23

Case 2: K=-14 so -14-J=9 or -14-J=-9 so J=-23 or J=-5

We choose J=5 as the only one satisfying L < J < M.

L=0, J=5, M=11, K=14, MJ=|M-J|=|11-5|=6

Answer: MJ=6

Let's check ML=11, good, KL=14, good, KJ=9, good.

6 0

3 years ago

Can u simplify 66/90

aleksandrvk [35]

Answer: yes

Step-by-step explanation:66/90= 11/15

i hope this helped

5 0

3 years ago

Read 2 more answers

Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?

balandron [24]

Answer:

Angela is 13 years old and Angela's aunt is 41 years old.

Step-by-step explanation:

With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:

x=3y+2, where:

x is Angela's aunt age

y is Angela's age

Also, you know that the total of their ages is 54, which is:

x+y=54

Now, you can replace x=3y+2 in x+y=54 and solve for y:

3y+2+y=54

4y=54-2

4y=52

y=52/4

y=13

Finally, you can replace the value of y in x=3y+2 to find x:

x=3(13)+2

x=39+2

x=41

According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.

6 0

3 years ago