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

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

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

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.

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)

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

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."

What is the percent equivalent of 0.63

Am I right or should I make any adjustments?

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?

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Select one :

54.8cm2

109.6cm2

125.6cm2

70.8cm2

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

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

0
1
2
3

HELP PLEASE!!! 50 pts!

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

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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.

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

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? *

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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?

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.

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

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.

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.

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 )

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

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

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What is 4+7(3x9)+967

▀▄▀▄▀▄▀▄▀ Options: ▀▄▀▄▀▄▀▄▀

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

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