Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°

Answers

Answer 1

Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get

[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]

[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]

[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]

[tex]\cos C=-0.42774145[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}{-0.42774145}[/tex]

[tex]C=115.324312[/tex]

[tex]C=115.3^\circ[/tex]

Therefore, the correct option is d.


Related Questions

Please Help I Have 15 minutes left!!!

You bought a new computer for $1500. Unfortunately it depreciates in value by 18% each year. Write an equation that would indicate the value of the computer after t years.

Answers

Answer:

y= 1500 -18t

Step-by-step explanation:

1500 is the number you are going to be subracting from so it goes first and 18 is the t because it decreases every year

A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be

arranged around the bracelet?

O 10!

11!

O 12!

Answers

Answer:

10

Step-by-step explanation:

I think I hope this helps

PLEASE HELP ASAP!!!

Answers

Answer:

4. x=0 x=5

5. x=-4 x=8

a car travels a distance and of 180 km in 2 hours on a straight road .how many km can it travel in 3 hours at the same speed​

Answers

Answer:

270 KM

Step-by-step explanation:

180 divided by 2= 90

90*3= 270

Please answer correctly! I will mark you as Brainliest! Please No links or any joking around or I will call and report you!

Answers

answer:
(0, -3)

step-by-step explanation:
if you flip it over the x-axis it would be (0, -3) because the 3 is the y-intercept it would just be -3

Answer:

0, -3

Step-by-step explanation:

So remember, when they say reflect over the x intercept, they do not mean to reflect the x value, they mean to reflect over the hirzontal line of the graph.(x axis)

This is the same with reflection over the y intrecept. This doesnt mean y is flipped, this means that whatever point or line you have is reflected over the vertical line on the graph(y axis)

So our orginal value is (0, 3). We need to reflect over the x axis, which means that y will now be -3, since that is the opposite of what we can see when we flip the x axis.

The 0 x, of course, stays the same since its 0.

So your answer is (0, -3)

Hope this helps! :)

The cost (c) for g number of gelato ice cream is shown in the table. Complete the table and graph the proportional relationship between the number of gelatos purchased and the total cost.

g c
2 8
5
6
8

Answers

Answers below:
5 20
6 24
8 32

help me out please real answers only (20 points)

Answers

Answer:

hope this will help

if correct please give brainliest

can someone help me with all these!im giving brainliest:)

Answers

Step-by-step explanation:

1a.2.b.1/2 base×heightc.2 ×1/2 base×heightbase×height

b.

1m=100cm1m²=100cm×100cm1m²=10000cm²0.25m²=0.25×10000cm²0.25m²=2500cm²

C.

.3.area of rectangle button+area of back+area of top d.total surface area =base×height+area of rectangle button+area of back+area of top

Which of the following is not an axiom about lines in the plane

Answers

Answer:

If two planes intersect, then their intersection is a line.

Solve n/6=14/42 for the unknown quantity, n

Answers

Y = Mx+b hope this help

Step by step; thanks for the points

in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science.
A)How many students were majoring in math only?
B)How many students were not majoring in computer science?
C) how many students were not math or computer science majors?

Answers

Answer:

Use n(u) formula of chapter sets

Step-by-step explanation:

Have a good day

11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.

Given that in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science, to determine A) how many students were majoring in math only; B) how many students were not majoring in computer science; and C) how many students were not math or computer science majors; the following calculation must be performed:

Math majors only = 18 - 7 = 11 Not majoring in computer science = 25 - 12 = 13 Not math or computer science majors = 25 - 7 - 11 - (12 - 7) = 18 - 11 - 5 = 2

Therefore, 11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.

Learn more in https://brainly.com/question/20293703

7
Which equation can be used to describe the relationship between x and y shown in the graph
below?
3x + 2
D-3x - 6
D
3-6
D3X2

Answers

C: y=3x-6, it’s based on the 3:1 slope and -6 y-intercept
See where the end point starts

10 Students were surveyed.
How many hours do you study a week?
8 2 2 6 14 10 3 5 4
Determine the following:
A) Mean
B) Mode
C) Median
Show work please
Will mark brainlisted

Answers

Answer:mode

Step-by-step explanation:5+4+9+9+3+75+1=mode

Help please!!
and Thank you!!
Find the surface area.

Answers

Answer:

2411.52 mm²

Step-by-step explanation:

[tex]40^{2} =32^2+d^2[/tex]

→ [tex]d^2= 1600-1024[/tex]

→[tex]= 576[/tex]

→ [tex]d= 24[/tex]      [tex]so, (radius=12[/tex]

[tex]Total~ surface ~ area= (2\pi r)*height[/tex]

→ [tex](2*3.14*12*82)[/tex]

[tex]= 2411.52 mm^2[/tex]

-------------------------------

hope it helps...

have a great day!!

Answer:

2411.52 mm²

Step-by-step explanation:

hope its helpful

Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation

Answers

Answer:

I can’t see the picture

Step-by-step explanation:

What is the perimeter of triangle PQR.
5 units
10 units

√5+3 √2units

2 √5 + √10 units

Answers

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

solve the system by substitution
5x+y=-14
5x- 3y=2

Answers

Answer:

x=-2 and y=-24

Step-by-step explanation:

plug in the value of y (-5x-14) into the second equation

U have $77 in your bank account than you write a check for $100 at the store how many do I have now? Please show work

Answers

Answer:

$-23

77 - 100 = -23

4. M is the midpoint of XY. If XM = 8-t and MY = 5t-10, find tand XY.​

Answers

Answer:

XY = 10

Step-by-step explanation:

By the definition of midpoint, XM would be equal to MY, so we can set both equations equal to each other;

XM = MY

8 - t = 5t - 10

=> Now add "t" to both sides of "="

8 = 6t - 10

=> add 10 from each side;

18 = 6t

=> Finally divide 6 on each side

3 = t

Now that we have the value for t, we can substitute 3 in place of "t" in any of the equation above and solve, when we have the answer, multiply it by 2 to get the value for XY.

=> 8 - 3

=> 5

=> XY = 5 * 2

=> XY = 10

Hope this helps!

find mKML
mKML=
HURRYY!!!

Answers

Answer:

42˚

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

Theorem of isosceles triangle says that the two adjacent angles that are not connected by two congruent lines are congruent.

Simple words:

L is the angle connected by both lines with the "ticks"

So that means K and M are congruent

Since K = 42°

M = 42°

Fun fact: If the angle name is something like ABC, the angle is technically B, because B is the vertex.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The surface area of a cube is 54 square inches.

What is the volume of the cube?

Answers

The volume of the cube is 27in³

Is x=2 a solution to the equation below?
4(x-1)-3(x-2)=-8

Answers

Answer:

No

Step-by-step explanation:

To find out if 2 is a solution, replace all the x's with 2.

4(2 - 1) - 3(2 - 2) =8

4(1) - 3(0) = 8

4 - 0 = 8

4 = 8

Nope!  False!  2 is not a solution.

Lol, it seems like nobody helps anyone here anymore. It’s just full of bots

Answers

Answer:

Nah i gotcha, I'm always helping around people, as long as i understand the question myself Imfao

what is the product of (3Y^-4) (2Y^-4)

Answers

Answer:

the product is 6/Y^8

Step-by-step explanation:

Markus is overdrawn at the bank by $9. His brother has $15 more than him. How much money does Markus’ brother have?

Answers

Answer:

24$

Step-by-step explanation:

its just 9$ + 15$ = 24$

A line passes through the origin and the point (3.5). What is the slope of the line? 0
3/5
-3/5
5/3​

Answers

Answer:

5/3 is the slope of the line.

2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next

Answers

Answer:

212×2×2×8×2×2×2×6= 325636

I hope the answer is correct. I hope I will get 5points

Answer:

2 units i hope this helps you

4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8​

Answers

Answer:

b > -15

Step-by-step explanation:

4b - 12 - 55 < 9b + 8

Combine terms.

4b - 67 < 9b + 8

Subtract 9b from both sides.

-5b - 67 < 8

Add 67 to both sides.

-5b < 75

Divide both sides by -5. When dividing by a negative, flip the sign.

b > -15.

IF YOU ANSWER WITH A LINK ILL REPORT IT;)
PLEASE PLEASE PLEASE HELP ME!!!!!!!
The order of rotation for a regular hexagon is Question options:
A)
8.
B)
7.
C)
6.
D)
5.

Answers

Answer:

D. 6

Step-by-step explanation:

Because a hexagon has 6 sides and when fully turned, it spin 360 degrees which is a whole circle!

Answer:

6

Step-by-step explanation:

Four fifths of the 35 kittens finish their milk how many did not finish their

Answers

Answer:

7 kittens did not finish their milk

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Other Questions
Evaluate: 5 - 3x when X = -2 What is the solution to the system of equations below? y = 2/5 x -3 and x = -10-A= (-10, -7)B= (-10, -1) C= (-7, -10)D= (-1, -10) WILL MARK FIRST CORRECT ANSWER BRAINLIEST Ill mark the first person to answer Plz help answer it correctly and explain it nicely plz i will give brainlist for the best answer What were the three key events of the cold war? What is the name of the piece above? Which of the following is the most common disease which affects muscles? Shin splintsFibromyalgiaMuscular dystrophy 20 PTS! WILL MARK BRAINLIEST A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50 square units. Based on this information, which argument can be made? The volume of the square prism is one third the volume of the cylinder. The volume of the square prism is half the volume of the cylinder. The volume of the square prism is equal to the volume of the cylinder. The volume of the square prism is twice the volume of the cylinder. Organisms that depend on other organisms for food are consumers. Which consumer you think is a herbivore (eats plants only)? List at least 5 numbers greater than -1 but less than 2 Which choice is equivalent to the expression below? I will give brainly to correct answer and if you dont get brainly lmk if you want me to make a fr33 p01nts questions so you get brainlyWhy is it necessary for organisms to undergo the process of respiration?Respiration helps organisms capture vitamins from sunlight.Respiration creates energy that is used for growth and repair.Respiration limits organisms losses of water and oxygen.Respiration constructs proteins needed for lifes functions. 14. Which of the following is not one of the planes and sections of body orientation O A. SagittalO B. CoronalO C. CruralO D. Transverse True or false the master degree is the first degree you can earnA. TrueB. False What is the final selling price of a $150 phone with 230% markup and then 7% sales tax How does waste removal in a fetus differ from waste removal after birth? A) Fetal waste is removed through the chorion; infant waste is removed through the rectum. B) Fetal waste is removed through the rectum; infant waste is removed through the chorion. C) Fetal waste is removed through the ductus venosus; infant waste is removed through the rectum. D) Fetal waste is removed through the large intestine; infant waste is removed through the ductus venosus. A small computer on a smart card has 4 page frames. At the first clock tick, the R bits are 1000 (page 0 is 1 and the rest are 0). At subsequent ticks, the values are 0110, 0101, 1010, 1101, 0101, 0011, and 1100. If the aging algorithm is used with a 16-bit counter, give the values of the four counters after the last tick. If page fault occurs, which page should be swapped out Daria makes and sells stuffed toys. She uses special fabric to cover a foam cube to make a number cube. How much fabric did Daria use to make this number cube?Find the area of one face of the cube, and multiply your answer by 6 to get the answer to the question. Geometry How do textbooks usually describe Le Chtelier's famous principle determine whether the sequence is geometric. if so, find the common ratio. -3125, 625, -125, 25,....