51. Find the length of the unknown side x of this triangle, evaluate your answer to two decimal places.

Answers

Answer 1

Answer:

See work, below.

Step-by-step explanation:

The radius of this circle is 10 and so the diameter is 20. The measure of the angle opposite side x is found as follows:

adj side

cos theta = ------------------- = 18/20. Find theta:

hypotenuse

theta = arccos 18/20 = 0.451 radian.

Now use the sine function to find x:

x x

sin 0.451 radian = ------------------- = ------------- = 0.651

hypotenuse 20

which results in x = 20(0.651) = 13.02

x = 13.02 units

I should have used the Pythagorean Theorem up front.

18² + x² = 20² becomes x² = 400 - 324 = 76, and so x = √76 ≠ 8.72

Related Questions

I WILL GIVE BRAINLIEST IF ANSWER IS GOOD PLS HELP!!!!

In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?

Also, what is a possible solution to x ≥ −2?

Please answer all of the questions in sentence form.
(10 Points)

Answers

Answer:

A closed circle would appear on the number line and the arrow should be pointing towards right. The possible solutions could be basically anything greater than or equal to -2, it could be -2, -1, 0, 1, 2, 3, 4 and so on.

Step-by-step explanation:

There are a few things to consider:

1. The inequality symbol:

⇒ [tex]\leq or \geq[/tex] always represented by a closed circle on the number line (this also means that the function x ≥ −2 would contain values greater than -2 but it WOULD also include -2 as an answer, but anything less than -2 would not be included).

⇒ < or > always represented by an open circle on the number line (This also means that the function would contain all numbers greater than -2 but NOT -2 or anything greater).

2. Where the Inequality sign opens:

⇒ If the inequality sign opens towards the variable (a letter) it means that all the values will be greater than the value given in the function. (For example x > 2, since the inequality sign is opening towards the x it means that all values in the solution set would be greater than two and thus the arrow would face the right side. The possible solution set could be 3, 4, 5 and so on)

⇒ If the inequality sign opens towards the number value given, it means that all the values will be less than the value given in the function. (For example, x < 2, in this case the inequality faces towards the number value given so the values for the answer set will have every value less than 2, the solution set would contain values like 1, 0, -1, and so on).

Hope this helps! Good Luck! I'd appreciate if I got Brainliest :) Have a good day!

How many pairs of angles are marked as congruent in the figures below

0
1
2
3

Answers

Answer:

Step-by-step explanation:

The answer has to be 0

Ava spend $6 on supplies for her lemonade stand and sells $4 worth of lemonade the first day. how many dollars profit has she made?

Answers

Ava has made -2 dollars

6 - 4 = -2

A survey of a group of seventh-graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.

Students
A dot plot titled Students. A number line going from 0 to 9 labeled the number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.

Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.

Based on the shape of the two-dot plots, which statements correctly compare them? Select three choices.
The center of the data for students has a value less than that of the center of the data for teachers.
The center of the data is to the right of the dot plot for both teachers and students.
There is a greater variation in the data for teachers than for students.
Both sets of data cluster around 2.
The same number of teachers as students were surveyed.

Answers

Answer:

i think it is a,c,d

Step-by-step explanation:

Answer:

C,D,E

Step-by-step explanation:

I want to say this since looking at the data plots it is both teachers and students both have 20 people reviewed, and there is a cluster around two for both.

26. Which of the following diagrams show a pair of corresponding angles?

Answers

Answer:

third show cointerior and 4th shows alternate

Alex has 1.3 inches of string for his project. Chris has 2.56 inches of string. How much more string does Chris have than Alex? *

Answers

Answer:

1.26

Step-by-step explanation:

I took 1.3 away from 2.56 to find the diffrence

What are the 3 central beliefs of Christianity
(20 Points)
A. Trinity

B. The Resurrection

C. Easter Bunny

D. Salvation

E. Buddhism

F. polytheism

NO MFKN LINK PLEASE IF U ARE RIGHT I WILL MARK YOU BRAINLIEST

Answers

Answer:

A. B. and D.

Step-by-step explanation:

Answer:

D, f,and B

Step-by-step explanation:

I hope I helped

2L plus 2L plus 1.5L plus 2.5L=8L just making shore it is right?

Answers

Answer: yes you are right hope this helped

plz make brainly

Step-by-step explanation:

PLEASE ANSWER AS SOON AS POSSIBLE

How does this quote, from Pope St. John Paul II connect to the sacrament of Anointing of the Sick? (5-7 SENTENCE PARAGRAPH)
"Jesus’ suffering has human dimensions; it also is unique in the history of humanity — a depth and intensity that, while being human, can also be an incomparable depth and intensity of suffering, insofar as the man who suffers is in person the only begotten Son himself: “God from God.” Therefore, only he — the only begotten Son — is capable of embracing the measure of evil contained in the sin of man: In every sin and in “total” sin, according to the dimensions of the historical existence of humanity on earth."

Answers

Answer:

futoighllllllllfiy

Step-by-step explanation:

fyuuftdiuh5eh

HELP PLEASE!!! 50 pts!

Answers

Answer:

Options D, E, and F

Step-by-step explanation:

Options D, E, and F are all correct.

D and E are pretty much the same, if there is a radical that is the same for the numerator and denominator, there can also be one radical over the entire fraction.

F is also correct because I used my calculator to determine what all of these equations are (1.03).

Hope this helps!

Answer:

Options D, E, and F

Step-by-step explanation:

Happy to help you

A possible graph transformation f(kx) when 0 < k < 1 is?

Answers

Answer:

<k2

Step-by-step explanation:

Info: WERE ALMOST AT 200 QUESTIONS ANSWERED!

~*¨¯¨*·~-.¸-(_¿? Question: ¿?_)-,.-~*¨¯¨*·~

What is 4+7(3x9)+967

▀▄▀▄▀▄▀▄▀ Options: ▀▄▀▄▀▄▀▄▀

A. 38
B. 943
C. 1001
D. 1282

Answers

Answer:

[tex] 4 + 7(3 \times 9) + 967 \\ = 4 + 7(27) + 967 \\ = 4 + 189 + 967 \\ = 193 + 967 \\ = 1160[/tex]

=> None of the options match the correct answer.

4+7(3x9)+967
4+7x27+967
4+189+967
=1,160

Hope this helped and have a nice day : )

What is the percent equivalent of 0.63

Answers

Answer:

63%

Step-by-step explanation:

How many ½-foot unit cubes can be added to fill the prism completely?
Use what you know about unit cubes or the side lengths of prisms to show your work or explain your answer.

Answers

Answer: 21168

1/2 x 1/2 x 1/2 = 1/8

2646/(1/8) = 21168

the answer would be 21168

Mary made chocolates that are shaped like the figure shown. About how much square centimeters of wrapping will she need to cover one of her chocolates ?

Select one :

54.8cm2

109.6cm2

125.6cm2

70.8cm2

Answers

Answer:

125.6

Step-by-step explanation:

b×b×b×h=p

Answer:

The answer is 125,6 :)

Step-by-step explanation:

I hope you a good day

Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.

1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.

2. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain your reasoning.

3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?

4. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.

5. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.

Answers

Answer:

14 gallons = 23 days

Step-by-step explanation:

14/6

Help me pls (probability) Blake volunteers at the animal shelter. She has an equally likely chance of being assigned to the dog, cat, bird, or reptile section. What is the probability that she will be assigned to either the reptile or cat section?

Answers

Answer:

50%

Step-by-step explanation:

because its 2/4 of all the 4 types animals there

The awnser is 50 percent because 2/4 is there and that would be 50 percent

plz help dont use any spam links

Answers

The only one I can do is the measure of angle q degrees. The answer is 95 degrees.

3) answer is 95
5) answer is statement 1 and 4
6) answer is the third one ( 5 units to the right , 2 units up )

Please help and tell me how you got the answer. Will mark brainlist!

Answers

Answer:

1. 540 cm^3

2. 448 cm^3

Step-by-step explanation:

1. Volume of rectangular prism is height times width times length, hwl, or

18*7.5*4 = 540, 540 cm^3

2. Volume of triangular prism is surface area of base times length

the length is 14 cm, and the base is the triangle, The area of a triangle is half of the base times the height, 1/2b * h. The base of this triangle is 8 cm, and the height is also 8 cm, 1/2(8) * 8 = 4*8 = 32, 32 times the length of the triangle is 32*14 = 448 cm^3

Based on the line plot, how many batteries lasted more than 5 1/2 hours? *

Answers

Answer:

5 batteries.

Explanation:

"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4

5 batteries because 4 lasted for 5 3/4 hours and 1 lasted for 6 1/4 hours

For which data set would the median be a better measure of center than the mean?

Please I really need help! And no files, I will report them!

Answers

Answer:

I think D but I'm not 100 percent certain

Am I right or should I make any adjustments?

Answers

Answer:

it looks alright to me i think you're good to stick with that answer

can someone do this dot plot for me :(( plss no links i beg you i would do it my self but i dont get the question will give branliest (HOPE YOU HAVE/HAD A NICE DAY )

Answers

Hope this helps have a nice day

1. What is the distance between the points (-2, 5) and (4, 7)? Round to the nearest tenth.
2. Saskia and Mariam begin at the same location. Saskia walks 20 feet north. Mariam walks 18 feet west. How far apart are they now? Round to the nearest tenth.

Answers

Answer:

1/3

Step-by-step explanation:

(-2,5) (4,7) Find the slope

7-5 = 2

4-(-2) = 6

reduce to 1/3

The distance between the points (-2, 5) and (4, 7) reduces to 1/3.

We have given two points

(-2,5) (4,7)

We have to determine the slope

What is the formula of the slope?

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]7-5 = 2\\4-(-2) = 6[/tex]

[tex]m=2/6\\m=1/3[/tex]

Therefore, The distance between the points (-2, 5) and (4, 7) reduce to 1/3.

To learn more about the slope visit:

https://brainly.com/question/3493733

#SPJ2

!!!*BRAINLIEST*!!!

An Olympic swimming pool measures 164 feet long, 82 feet wide, and 9.8 feet deep. It takes approximately 7.48 gallons of water to fill 1
cubic foot of the pool. Approximately how many gallons of water are needed to fill the swimming pool?

A. 985,792 gallons
B. 10,983 gallons
C. 17,619 gallons
D. 1,913 gallons

Answers

Not sure but probably it’s b or c

I’m pretty sure it’s B!

Could someone please help me? If you know all the answers please write down what the answers are. Also, tell me how you got the answer. Will mark brainlist for the best answer for solving the equations or questions.

Answers

Answer:

1. its B

2. you use pemdas

3. you use the second step of pemdas

Step-by-step explanation:

1. because all of the parts are equal and there are only four equal parts.

2. Pemdas=Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

3. Pemdas=Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

#2: 1/4
#6: A
( I like your pfp btw ;))

PLEASE HELP....
I need a good grade...

Answers

Answer:

the 4th one is 23 x 2x = 98+4

Step-by-step explanation:

The 4th one is the best option

Can someone pls help me (irrelevant answers and links will be reported)

Answers

Answer:

2x³ • 4y³ ÷ 8x = x² • y³ ÷ 1

Step-by-step explanation:

y • 2x³ • 4y² ÷ 8x

2x³ • 4y³ ÷ 8x = x² • y³ ÷ 1

-TheUnknownScientist

40. Find the side length of a cube with volume 125 cm3.

Answers

the answer is 5cm because 5 x 5 x 5 = 125

4 chef require 10 minutes to prepare 20 desserts. At this rate how many chefs are needed to prepare 75 desserts in 15 minutes?

PLS HELP! PLS TELL ME HOW YOU GOT THE ANSWER. THIS IS FOR MY COUSIN. SHE NEEDS HELP.

Answers

So right now, you need 4 chefs to prepare 20 deserts in 10 minutes (so the rate is one chef can make a dessert in 2 minutes) so if we think about this 7.5 desserts can be made by one chef in 15 minutes, BUT no one wants 1/2 of a dessert, so we must round this down to 7, and now we divide 75 by 7 to get 10.7, but we don’t want 0.7 of a cheap, so we round up to get 11 chefs can make 75 desserts in 15 minutes

The number of chefs that are needed to prepare 75 desserts in 15 minutes is; 10 chefs

According to the question;

4 chefs require 10minutes to prepare 20 desserts

For the scenario above; This means;

4 chefs are able to prepare 2 desserts/minute.

The question requires that we determine how many chefs are needed to prepare 75 desserts in 15 minutes.

In essence;

x chefs are able to prepare (75/15) = 5 desserts/minute.

Therefore;

x = (5 × 4)/2

x = 10 chefs

Ultimately, 10 chefs are needed to prepare 75 desserts in 15 minutes.