Mathematics High School

What is the value of x in this triangle?

A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°

Answers

Answer 1

Answer:

D. 33.49

Step-by-step explanation:

Answer 2

The value of x is 33.49°.

What is a right triangle?

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

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Related Questions

PLEASE HELP ASAP!!! i’ll mark brainlest!!!!

Answers

Answer:

A C and E

Step-by-step explanation:

Answer:
A
C
E
Message:
Good luck!!

thanks for all of you guys' help!!! this is the fourth one nowww

Answers

Answer: The answer should be C. y = 5.5x. Good luck! :)

Answer:

Step-by-step explanation:

Suppose there is a 1.9f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 51.8f what will be the temperature when the plane reaches an altitude of 3,000ft??

Answers

Answer: 46.1f

Step-by-step explanation:

Simce there is a 1.9f drop in temperature for every thousand feet that an airplane climbs into the sky, when the airplane reaches an altitude of 3,000ft, the drop in temperature will be:

= 1.9f × 3

= 5.7f

Since the temperature on the ground is 51.8f, then the temperature will then be:

= 51.8f - 5.7f

= 46.1f

Michael wants tto start a garmets business. He borrowed 50000 for 5 years at 14% from his friend. The intrest is compoudee semi-annually from his friend. What is the total amount he will have to pay back to his friend?Round to the nearest cent

Answers

Answer:

98,357.57

Step-by-step explanation:

The formula to find the total amount obtained using compound interest is given as:

A = P(1 + r/n)^nt

Where:

A = Amount returned or payed back.

P = Amount borrowed = 50,000

R = Interest rate = 14% = 0.14

T = Time = 5 years

n = number of time compounded = semi annually = 2

Hence,

A = 50,000(1 + 0.14/2)^2 ×5

A = 50,000(1 +0.07)^10

A = 98,357.57

The amount he is paying back to his friend is 98,357.57.

a climber starts descending from 504 feet above sea level and keeps going until she gets to 40 feet below sea level, how may feet did she descend?

Answers

Answer:

544 feet.

Step-by-step explanation:

|504| +|-40|=544

Write and expression to find the perimeter of the rectangle. (5 points)

Problem 1

Simplify the expression by combining like terms. (5 points)

HTML EditorKeyboard Shortcuts

12pt

Answers

Answer:

im confused

Step-by-step explanation:

im confused whats your question tho

Oliver estimates the weight of of his cat to be 16 pounds. The actual weight of the cat is 14.25 pounds. What is the percent error of Oliver's estimate rounded to the nearest tenth of a percent.

Answers

Given:

Estimated weight of a cat = 16 pounds

Actual weight of that cat = 14.25 pounds

To find:

The percent error to the nearest tenth of a percent.

Solution:

We know that,

[tex]\text{Percent error}=\dfrac{\text{Estimated value - Actual value}}{\text{Actual value}}\times 100[/tex]

Using the above formula, we get

[tex]\text{Percent error}=\dfrac{16-14.25}{14.25}\times 100[/tex]

[tex]\text{Percent error}=\dfrac{1.75}{14.25}\times 100[/tex]

[tex]\text{Percent error}=0.122807\times 100[/tex]

[tex]\text{Percent error}=12.2807[/tex]

Round the percent error to the nearest tenth of a percent.

[tex]\text{Percent error}\approx 12.3[/tex]

Therefore, the percent error is 12.3%.

Answer:22

Step-by-step explanation:

Lara charges $12 per hour for babysitting. If f represents Lara's total fee after babysitting for h hours, which equations can be used to model the situation?

Answers

Answer: f= 12h , where f = Lara's total fee after babysitting for h hours.

Step-by-step explanation:

Given: Lara charges $12 per hour for babysitting.

Charge per hour = $12

Let h= Number of hours

Total charge = (Charge per hour) x (Number of hours)

If f = Lara's total fee after babysitting for h hours.

then, f= 12h

Hence, the required equation to model the situation : f= 12h

(20 points)
A car enthusiast learns that a particular model of car, which costs $42,000 new, loses 25% of
its value every year. How much will the car be worth in 2 years?

If necessary, round your answer to the nearest cent.

Answers

Answer:

23 625

Step-by-step explanation:

[tex]42000 - 25\% = 31500 \\ 31500 - 25\% = 23625[/tex]

Answer:

The value of the car in 2 years will be 21,000 I believe.

Step-by-step explanation:

The car originally costs 42,000 dollars. Every year the car loses 25% of it's original value.

The first thing to do is multiply .25 by 42,000. This should give you 10,500.

(42,000)(.25) = 10,500

Next is to multiply 10,500 by 2 to cover the second year. Your answer should be 21,000.

(10,500)(2) = 21,000

Now subtract that from the original value. And you should get 21,000.

42,000 - 21,000 = 21,000

Best of Luck!

If this is not the answer then it is, $23,625.

how do i write 4 3/16 as a decimal and how do I write -3 4/9?

Answers

for both mixed numbers, you have to multiply the denominator and the whole number. then you take that number and add the numerator to it.

4 3/16= 67/16

-3 4/9= -23/9

Math!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3

Answers

Answer:

may you please mark me as brainliest? I will mark you it if you answer on mine

Step-by-step explanation:

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and one-half hours, which equation can be used to find x, the distance in miles from Juan’s house to the park? Distance (mi) Rate (mi/hr) Time (hr) Trip to Park x 4 mph Trip to Home x 6 mph StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 and one-half 4 x + 6 x = 1 and one-half 4 x + 6 x = 1

Answers

Answer:

The distance traveled equals the speed v multiplied by the time t

Since the speed varies, and we only know the total time, we must rewrite this as:

If we separate this in the two 'directions', it should add up to one and a half:

That would lead me to answer b

Step-by-step explanation:

have a nice day :)

Answer:

B. x/4+x/6=1,1/2

a(n)=−5+6(n−1)
I need to know what the 12th term in the sequence is.

Answers

Answer:

Step-by-step explanation:

The formula of the sequence given is;

aₙ = -5 + 6(n-1)

problem is to find the 12th term;

a₁₂ = -5 + 6 (12 - 1)

a₁₂ = -5 + 6(11)

a₁₂ = -5 + 66

a₁₂ = 61

The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest integer, calculate the lower bound of the distance s

Answers

Answer:

Step-by-step explanation:

Given the formula for calculating the distance travelled expressed as;

s=1/2at^2

Given

a = 3

t = 10

Required

lower bound of s

Substitute the given values into the equation;

s=1/2at^2

S = 1/2(3)(10)^2

S = 1/2 * 3 * 100

S = 3 * 50

S = 150

Hence the lower bound of distance S is 150

For the situation described.
a) Write an equation in the form y = mx + b.
b) Then, solve the problem.
"A water tank holds 24,000 gallons. How many days will it take for all of the water to
be used if the water is used at an average rate of 650 gallons per day? (round to the
nearest whole number)"
a) y =
X +
b)
days

Answers

Answer:

a) y=650x+0

b) 24,000=650x

24,000/650=x

x=37

I hope this is good enough:

if you can you don't have to put the +0 its just to fill it all out

-1/6 times (-9/7) and if you answer correctly i’ll mark your answer brainly and 60 points

Answers

Answer:

3/14

Step-by-step explanation:

(−1/6)(−9/7)

= (−1)(−9)

(6)(7)

=9/42

Answer:

3/14

Step-by-step explanation:

Or 14/3

Need answer ASAP! Question in picture

Answers

Answer:

Step-by-step explanation:

hope this helps

70 is 30% of what number?

Answers

Answer: 233.33.

Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.

Answer:

Step-by-step explanation:

233.33

Hope this helps =)

The CEO of a company wants to determine whether taking the employees to a company retreat would boost their morale. He decides to survey a simple random sample of 50 of the 250 employees. Which of the following options would guarantee a simple random sample? asking the first 50 employees who come to work on Monday morning to take the survey telling the managers in each of the 5 departments to randomly select 10 people to take the survey giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey sending an email to all 250 employees asking them to complete the survey within the next couple of days

Answers

Answer:

Step-by-step explanation:

Among all the given options, the one that would guarantee a simple random sample is: “telling the managers in each of the 5 departments to randomly select 10 people to take the survey.” Hence, Option B is correct.

What is a random sample?

An unprejudiced portion of a population is chosen in a simple random sampling. With this sampling technique, the possibility of selection bias is reduced because every person of the population has an exact equal probability of being chosen.

A simple random sample is a group of people chosen at random, all with the same probability, from a larger group of people in statistics. It involves a method of randomly choosing a sample.

Random sampling assures that the results of sample should be close to those that would have been found if the complete population had been measured. With the simplest random sample, each unit in the population has an equal probability of being chosen.

Therefore, Option B is correct.

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What are the zeros of the function?

f(x)=x^3−2x^2−3x

A. 3, 0, and 2

B. 2, 0, and 3

C. 1, 0, and 3

D. 3, 0, and 1

Answers

Answer:

−1, 0, and 3

Step-by-step explanation:

f(x) factors as

f(x)=x(x+1)(x-3)

so has zeros of x = -1, 0, 3 because these values make the factors be zero.

Can I have brainliest please.

96 is the product of 6 and Raj's height.

Answers

Answer:

Raj's height is 16.

Step-by-step explanation:

The answer is 16 because if you multiply 6 with 16 you would get 96. Thanks and if you could mark me as brainliest.

Help me out please? Thankss

Answers

Answer:

159.2

Step-by-step explanation:

It’s would be 159.2 hope that helped

10
8
7
6
5
4
3
2
1
х
0 1 2
3
4
5
6
7
8
9
10
What is the slope?

Answers

Answer:

Step-by-step explanation:

d trust

need help on this!!! :)

Answers

Answer: -3,1

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

The slope would be 2/3 because you go up two and over three. Rise/run.

The prices for different prices at a grocery store are shown in the table below which of the following spices has the least price per pound

Answers

Where is the picture??? I can’t help without the full question and answer choices:/

please help find the solution !
(5 − x) 5 = (2x − 1)5

Answers

Answer:

the answer should be, x = 2

The answer is x=2
5(5-x)=5(2x-1)
The first thing you do is distribute both of the fives which will give you
25-5x=10x-5
The next thing to do is get both the x’s on one side so you add 5x to both sides which will give you
25=15x-5
The next step is to get the x by itself so you add 5 to both sides which will give you
30=15x
And the last step is to divide both sides by 15 which will give you
X=2

Jody works at the finish line and gets $36 each day he works plus $1.50 for each pair of shoes he sells. Write a function to represent the total (y) he will make in one day in relation to the number of shoes he sells.

Answers

Answer: y=36+1.50x

Step-by-step explanation:

Given: Daily wages = $36

Commission per pair of shoes he sells = $1.50

Let y= Total he will make in one day by selling x shoes .

Total earnings per day = Daily wages + Commission (Number of shoes)

y=36+1.50x

Hence, a function to represent the total (y) he will make in one day in relation to the number of shoes he sells: y=36+1.50x

Find the Domain of the function y = 5x - 3

Answers

Answer:

y=5x+3y=5x+3

im not sure

9514 1404 393

Answer:

all real numbers

Step-by-step explanation:

The domain of any polynomial function is all real numbers.

Payton is in charge of the water jugs for the football team. She has 410 ounces of water that she will use to fill plastic cups for the players. If each cup holds 10.25 ounces of water, how many cups can she fill if all are filled completely?

Answers

Answer:

Step-by-step explanation:

410 divided by 10.25 = 40

Factorise (2-50x²) = ?

Answers

Answer: −50x2+2

Step-by-step explanation:

brainliest plzzz

Answer: 2(5x+1)(-5x+1)

Work:

Other Questions

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What is the value of x in this triangle? A.0.58° B.o 28.89° C.o 56.51° D.o 33.49°

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What is the value of x in this triangle?

A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°