What is the measure of <C? Round your answer to the nearest tenth of a degree.

A 73.4
B 74.1
C 106.6
D 100.7​

What Is The Measure Of &lt;C? Round Your Answer To The Nearest Tenth Of A Degree. A 73.4 B 74.1 C 106.6

Answers

Answer 1

Given:

In triangle [tex]ABC, AB=9,BC=4,AC=7[/tex].

To find:

The measure of angle C.

Solution:

We have, [tex]AB=9,BC=4,AC=7[/tex]. It means [tex]c=9,a=4,b=7[/tex].

According to the law of cosines:

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

[tex]cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}[/tex]

[tex]cos C=\dfrac{16+49-81}{56}[/tex]

[tex]cos C=\dfrac{-16}{56}[/tex]

Taking cos inverse on both sides, we get

[tex]C=cos^{-1} \dfrac{-16}{56}[/tex]

[tex]C=106.60155[/tex]

[tex]C\approx 106.6[/tex]

Therefore, the correct option is C.


Related Questions

Can you please help me

Answers

nvm there is the right answer

y= x - 5
y=-7x + 11
Cherry

Answers

Answer:

Step-by-step explanation:

Since this is a 2 variable equation system we will find the values of x & y by equaization.

x-5=-7x+11

x+7x=11+5

8x=16

x=16/8

x=2

Please mark brainliest.

Work out the size of angle A.
A
11 cm
9 cm
38°
B
С​

Answers

Can you ask a bit better? I’d love to answer just don’t get what ur asking

OMG PLEASE HELP YOUR BOY OUT I NEED TO GET THIS ONE RIGHT TO PASS THE TEST!!!
Which of the following rational functions is graphed below?

A. F(x) = (x - 1)/((x + 2) ^ 2)
B. F(x) = (x + 1)/((x + 3)(x - 2))
C. F(x) = (x - 1)/(x(x - 3))
D. F(x) = (x - 1)/(x(x + 2)) O

Answers

the answer is b i think i’m not sure

Answer:

The Answer is C

can guys help me please

Answers

Answer:

there is 243.84 cm in 8 feet

round to the nearest hundredths =3266.53

Please help me please please

Answers

Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width

Step-by-step explanation:

If a coin and a is die is rolled at same time how many outcomes are possible? Please help me

Answers

Answer:

Answer:

12

Step-by-step explanation:

a coin has two possibilities: Head and Tales

a die has six possibilities: 1, 2, 3, 4, 5, 6

2x6=12

Which of the following is/are correct in the case of free fall motion?

(I) Free fall is a linear motion.
(II) Free fall is a uniformly accelerated motion.
(III) Free fall is a motion under gravity alone.

A) I and II
B) I only
C) II only
D) I, II, and III

Answers

Answer:

D) all are true

I think it's helps you

What speed would a plane average on a trip
of 4000 miles that took 6 hours?
(A) 150.0 miles per hour
(B) 666.6 miles per hour
(C) 366.6 miles per hour
(D) 1500.0 miles per hour

Answers

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

The function N(t) = 100e^−0.023t models the number of grams in a sample of cesium-137 that remain after t years. On which interval is the sample's average rate of decay the fastest?

Answers

Options:

A. [1,10]        B. [10,20]      C. [15,25]     D. [1,30]

Answer:

A. [1,10]

Step-by-step explanation:

Given

[tex]N(t) = 100e^{-0.023t}[/tex]

Required

Interval with the fastest rate of decay

The rate of change over [a,b] is calculated as:

[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]

So, we have:

A. [1,10]        

[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]

[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]

Calculate N(10) and N(1)

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]

B. [10,20]      

[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]

[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]

Calculate N(20) and N(10)

[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

So:

[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]

C. [15,25]    

[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]

[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]

Calculate N(25) and N(15)

[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]

[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]

So:

[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]

D. [1,30]

[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]

[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]

Calculate N(30) and N(1)

[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]

By comparing the values of the calculated rates,

-2.03 is the smallest, in other words; the fastest rate

Hence, the interval [1,10] has the fastest rate of decay

The required average rate of change is the fastest on [tex][1,10][/tex].

The average rate of change :

The formula for the average rate of change on the interval [tex][a,b][/tex]  is,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]

Now, applying the given function into the above function is,

Now, [tex]a=1,b=10[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]

Now, [tex]a=10,b=20[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]

Now, [tex]a=15,b=25[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]

Now, [tex]a=1,b=30[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]

So the average rate of change is fastest on [tex][1,10][/tex]

Learn more about the topic of the average rate of change:

https://brainly.com/question/20884505

Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?

Answers

9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.
Sense there is 3 students they can line up in 6 different orders

what’s the area besties?

Answers

Answer:

36

Step-by-step explanation:

2(4.5*3)=13.5

2(3+7.5)=22.5

13.5+22.5=36

There are two bags containing only purple and yellow marbles. Bag A has yellow marbles and purple marbles. Bag B has yellow marbles and purple marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event : choosing a purple marble from Bag B. Event : choosing a yellow or purple marble from Bag A. Event : choosing a red marble from Bag B. Event : choosing a yellow marble from Bag A.

Answers

Choosing a Red marble from Bag A
Choosing a Purple marble from Bag B
Choosing a Yellow marble from Bag A
Choosing a Yellow or Purple marble from Bag A

Enter the equation of the circle with the given center and radius.

Center: (9, 0)
radius: √5

Answers

Answer:

(x - 9)² + y² = (√5)² = 5

Step-by-step explanation:

Start with the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - y)^2 = r^2

Now substitute 0 for k, 9 for h and √5 for r:

(x - 9)² + (y - 0)² = (√5)², which simplifies to:

(x - 9)² + y² = (√5)² = 5

Please anwser this question.

Answers

Answer:

step by step is kid cause it sounds cool

Step-by-step explanation:

so therefore the answer is kid


Write the equation of the line shown in the graph below

Can someone please help both of these

Answers

Answer:

4x/3-2

-x/2 +5

this are the answers

Sally has a car that accelerates at 5 m/s^2. If the car has a mass of 1000 kg, how much force does the car produce?
F=______
m=______
a=______

Answers

Answer:

You have to use the equation F=ma.

F: the force an object has (in this case the unknown)

M: the mass an object has (in this case 1000kg)

A: the acceleration an object has (in this case 5m/s^2)

when you plug in everything you should get F=5000N

Answer:

The answer is 5000 N (Newtons).

Explanation:

F=M*A

F=1000 kilograms * 5 m/s squared

F=5000 Newtons

What is the answer to the problem 4x + 6x

Answers

Answer:

10x lmboooo

Step-by-step explanation:

combine like terms

Answer:

10x.

Why? Well because 4 + 6 = 10. And since they both are x values the sum is 10x.

Step-by-step explanation:

Hope that this helps! :)

Have great rest of your day/night!

Make “a” the subject of the following formula
y + az = z

Answers

A = z-y / z is the answer

Giving brainliest show work pls ! Ty

Answers

The answer is D, one half. Because there are four 12s, and there are four other numbers. Which would make 4/8. If you simplify 4/8, you will get 1/2.

Answer:

1/2

Step-by-step explanation:

total of the pockets

= 8

the probability

= 4/8

= 1/2

Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students save their money, when will they have the same amount of money ?

Answers

Answer:

No. They will not have the same amount of money.

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.875/100

r = 0.03875 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.03875/12)(12)(7.5)

A = 10,000.00(1 + 0.003229167)(90)

A = $13,366.37

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37. Therefore, they cannnot save the same amount.

Find an expression for the area of the rectangle. Write your answer in standard form.​

Answers

Answer:

B. 8x² + 18x - 5

Step-by-step explanation:

(2x + 5)(4x - 1)

Use the distributive property to multiply 2x + 5 by 4x - 1.

8x² - 2x + 5(4x) + 5(-1)

8x² - 2x + 20x - 5

Combine 20x and -2x to get 18x.

8x² + 18x - 5

The expression for the area of the rectangle is 8x² + 18x - 5, which is B.

Greg rented a truck for one day. There was a base fee of $15.95, and there was an additional charge of 85 cents for each mile driven Grey had to pay $159.57
when he returned the truck For how many miles dhe drive the truck

Answers

Answer:

168.964706 miles

Step-by-step explanation:

Turn the info into a equation: 159.57 = .85x + 15.95

Solve for x (miles)

159.57 = .85x + 15.95

143.62 = .85x

x = 168.964706

The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.
506 635 345 344 633
344 359 536 470 482 ​

Answers

Answer:

465.4

Step-by-step explanation:

mean=sum of all values/umber of vales

      =506+ 635 +345 +344+ 633 +344+359+ 536 +470+ 482 ​ /10

      =4654/10

   mean   =465.4

Which point is located at -8.65?

Answers

Answer: point b

Step-by-step explanation:

eatch mark on the line is 0.1, b is right behind the 8.6 mark in the middle making it 8.65

Answer:

The answer is point b.

Step-by-step explanation:

Select the correct answer.
What is the range of the function graphed below?

A. -∞ < y < -2

B. -∞ < y < ∞

C. -∞ < y < 2

D. -2 < y < ∞

Answers

Answer:

C

Step-by-step explanation:

The range is all the (y) values the function could have. The function's left end approaches negative infinity, while the right end approaches the asymptote of the function, y = 2.

So, the range is -∞ < y < 2. The answer is C.

I hope this helps :]

The range of the function is option (C) -∞ < y < 2 is the correct answer.

What is the range of a function?

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f .

For the given situation,

The graph shows the function that is plotted on x-y axis.

The curve of the function tends from x-axis beyond infinity.

It bends at y = 2 and moves towards y-axis beyond infinity.

Hence we can conclude that the range of the function is option (C),        -∞ < y < 2 is the correct answer.

Learn more about graph of a function here

https://brainly.com/question/27757761

#SPJ2

Brandon just bought a new coffee table. The length of the coffee table is 5 more than 3 times the width. If the perimeter of the coffee table top is 58 inches, what is the length and width of the coffee table?

Answers

Answer:

The length is 23 inches and the width is 6 inches.

Step-by-step explanation:

The perimeter for a rectangular shape is represented as:

P = 2L + 2W, where L represents length and W represents width

We can represent the length as:

L = 3W + 5

Substituting this into the perimeter function, we get:

P = 2 (3W + 5) + 2W

Substituting 58 for P, we get:

58 = 2 (3W + 5) + 2W

58 = 6W + 10 + 2W

58 = 8W + 10

58 - 10 = 8W + 10 - 10

48 = 8W

48 / 8 = 8W / 8

6 = W

With 6 being the established value for the width, we can substitute this back into the equation for length:

L = 3W + 5

L = 3(6) + 5

L = 18 + 5

L = 23

To check our work, we can substitute both the width and length into the perimeter equation:

P = 2L + 2W

58 = 2(23) + 2(6)

58 = 46 + 12

58 = 58

Therefore, length is 23 inches and the width is 6 inches.

Charles inherited $500,000 from his grandfather. He decides to invest the money into a fund that has 4% annual interest. If the interest is compounded continuously, what is the total amount that is compounded annually?

Answers

Answer:

this is answer$10,000$1o,5oo ok

The American antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet,
particularly at running long distances. The maximum recorded speed for the antelope is 88.5 km/h, which it
can sustain for nearly one kilometer.
On the other hand, the distance, d, in kilometers that the wildebeest can run in t hours is given by the equation
d=80.5t
Assuming both animals are running at constant speeds, which animal can run faster?
Choose 1 answer:
The American antelope
B
The wildebeest
They can run at the same speed.

Answers

Answer:

The Wildebeest

Step-by-step explanation:

I’m guessing

Answer:

Correct answer is a

Step-by-step explanation:

5x-4<4(1+x) what is the answer and how do you do it

Answers

Answer:

Step-by-step explanation:

5x-4<4(1+x)

5x-4<4+4x

5x-4x<4+4

x<8

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