Solve for x. Round to the nearest tenth of a degree, if necessary.

Solve For X. Round To The Nearest Tenth Of A Degree, If Necessary.

Answers

Answer 1

Answer:

x = 40°

Step-by-step explanation:

Reference angle = x°

Adjacent side length to reference angle = 7.2

Hypotenuse = 9.4

Apply trigonometric function CAH, which is:

Cos x = Adj/Hyp

Substitute

Cos x = 7.2/9.4

Cos x = 0.76596

[tex] x = cos^{-1}(0.76596) [/tex]

x = 40° (nearest tenth)


Related Questions

Express it in slop-intercept form​

Answers

Answer:

y = ½x -3

Step-by-step explanation:

_____________________

Which table represents a nonlinear function? ASAP

Answers

Answer:

The second table, the table in the middle.

Step-by-step explanation:

Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.

Simplify by combining like terms. − 5 p + 4 m − 2 p + m

Answers

Answer:

-7p  +5m

Step-by-step explanation:

− 5 p + 4 m − 2 p + m

Combine like terms

-5p -2p   +4m +m

-7p  +5m

Answer:

-7p+5m

Step-by-step explanation:

See image below:) :)

Help!!!

Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.

Answers

Answer:

Step-by-step explanation:

floor = 12*10 = 120 sq ft

rug = π[tex]r^{2}[/tex] = 9π

120-9π = 91.74 sq ft

The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²

What is Area?

Area is the space occupied by a 2 dimensional figure.

The room is rectangular and its 12 ft by 10 ft. Therefore,

area of the room = lw

where

l = length

w = width

area of the room = 12 × 10 = 120 ft²

The rug is circular and its use to cover the room. Therefore,

area of rug = πr²

where

r = 3 ft

Therefore,

area of rug = 3.14 × 3² = 28.26 ft²

The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:

area uncovered = 120 - 28.6 = 91.74 ft²

learn more on area here; https://brainly.com/question/1389611

There are 36 male and 24 female students in a cultural competition
a ) Write the percentage of students in the competition
b ) Write the percentage of female students in the competition​

Answers

Answer:

a. 24/60 = 40%

b. 24/60 = 40%

Explanation:

it seems both the questiona have the same answer. how many students in the competition is what you are looking for, the total of people in the competition is 60(36+24). there are 24 students, so you divide 24 by 60 and you will get 40% for both questions.

nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.

Answers

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

How would I figure this out?

Answers

Answer:

y = 23

x ≈ 13

Step-by-step explanation:

3y + (y+88) = 180

Solve for y

y =23

6x + 35 = y + 88

substitute y = 23

6x + 35 = 23 + 88

Solve for x

x ≈ 13


Ok in this type of problem the angles that are adjacent are equal to 180 also known as supplementary so...
6x+35+8x-23=180
14x+12=180
14x=168
x=12

3y+y+88=180
4y+88=180
4y=92
y=23
And what I think is wrong with the figure is that the vertical angles are not congruent
*double check all this info

If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?

Answers

Answer:

Terry has 1500 sweets.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of sweets Terry has.

y is the number of sweets Alex has.

If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.

This means that:

[tex](1 - 0.3)x = y + 0.3x[/tex]

[tex]0.7x = y + 0.3x[/tex]

[tex]y = 0.4x[/tex]

If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.

This means that:

[tex]y + 750 = 1.8(x-750)[/tex]

We want to find x, and since [tex]y = 0.4x[/tex]

[tex]y + 750 = 1.8x - 1350[/tex]

[tex]0.4x + 750 = 1.8x - 1350[/tex]

[tex]1.4x = 2100[/tex]

[tex]x = \frac{2100}{1.4}[/tex]

[tex]x = 1500[/tex]

Terry has 1500 sweets.

A student tosses 4 coins.

What is the probability that all 4 coins show heads?

Answers

Step-by-step explanation:

There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.

The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.

Answers

Answer:

Step-by-step explanation:

The second one I believe.

HELP PLEASE!!!!!
options
A) AAS
B) ASA
C) HL
D) SAS

Answers

The answer is A) AAS because it goes angle then angle then side.

How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!

Answers

Answer:

You are fortunate that there are several excellent algorithms textbooks on the market. Many of them (including Introduction to Algorithms) have material on not just the algorithms, but the techniques you can use to develop algorithms. I recommend that you learn techniques such as divide-and-conquer, dynamic programming, greedy algorithms, and amortized analysis.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

When trying to solve a certain problem, different strategies must be applied that have the ability to solve the question in the most favorable way.

Thus, as a first step, the problem that is taking place, and the severity of it, must be identified. Then, proposals for solving the problem must be prepared, considering the pros and cons of each one, as well as their eventual cost. Subsequently, a main option and a plan B must be chosen with which to solve the question. Finally, the resolution plan must be executed.

Learn more in https://brainly.com/question/7208889

Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median​

Answers

I think it’s mean :))

What is 39% of 921?


Btw good morning to everybody!

Answers

Answer:

359.19 And good morning to you

Step-by-step explanation:

Answer:

359.19 is the 39% of 921

good afternoon to you

The quotient of 9/10

Answers

Answer:

0.9 is the correct answer

Choose all that correctly give the distance in the coordinate plane between two points.
(-5, 8), (5,8)
d = 10
(3,8), (3, -6)
d = 12
(-2,-9), (-2,4)
d = 13
(8, -7), (1, -7)
d = 9
(-12, -4), (-6, -4)
d = 6

Answers

d=10, d=13 and d=6 are correct

When the x-coordinates (or y-coordinates) match find the difference between the other values.

HELPP what is the area of this cylinder

Answers

Answer:

1,884

Step-by-step explanation:

The formula for solving the area of a right cylinder like this one is:

=2πrh+2πr2

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median

Answers

Step-by-step explanation:

[tex]median = \frac{1.48 + 1.49}{2} [/tex]

[tex] = \frac{2.97}{2} [/tex]

[tex] = 1.485[/tex]

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of

Answers

Answer:  the minimum sample size needed = 145

Step-by-step explanation:

Formula for sample size:

[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]

, where z* = Critical z-value

Given: Standard deviation = 2.15

Margin of error = 0.35

Z* for 95% confidence = 1.96

Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]

[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]

Hence, the minimum sample size needed = 145

find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3

Answers

Answer:

The Question isn't clear

Step-by-step explanation:

Answer:

can someone please answer this question correctly for me. i need it asap

Step-by-step explanation:

If you answer this you will get 100 points pls answer hurry it’s due in 20 mins

Answers

Ye the answer is 1...

Answer:

Option B, median

Step-by-step explanation:

We see the data is not uniform. One of the prices is very high compared to the others. Since there is an outlier, the median is the best measure of central tendency.

This is the second option.

a purchasing agent for kelly bread company wants to estimate the mean daily usage of rye flour. she takes a sample for 50 straight days and finds that the sample mean is 180 pounds with a sample standard deviation of 38.5 pounds. State the 90% confidence interval for the mean

Answers

Answer:

The 90% confidence interval for the mean is (170.87 , 189.13)

Step-by-step explanation:

Using the calculator we can easily calculate   the 90% confidence interval for the mean, the given values are:

mean=180

sx : 38.5

n : 50

c - Level : 0.90

Then the output will be [170.87 , 189.13]

MA + q ² A =g
Someone help me to do this Aquarian

Answers

Answer:

a=g/q2+m

Step-by-step explanation:Let's solve for a.

ma+q2a=g

Step 1: Factor out variable a.

a(q2+m)=g

Step 2: Divide both sides by q^2+m.

a(q2+m)

q2+m

=

g

q2+m

a=

g

q2+m

What inequality does the number line graph represent

Answers

Answer:

5x + 3 ≥ 18

Step-by-step explanation:

when solved, the inequality is x ≥ 3

x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set

What is the solution to the equation?
^5 / x+7= -2 (A.) -39 (B.) -17 (C.) 25 (D.) no solution

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-39}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt[5]{x + 7} = - 2[/tex]

➺[tex] \: x + 7 =( { - 2})^{5} [/tex]

➺[tex] \: x + 7 = ( - 2 \times - 2 \times - 2 \times - 2 \times - 2)[/tex]

➺[tex] \: x + 7 = - 32[/tex]

➺[tex] \: x = - 32 - 7[/tex]

➺[tex] \: x = - 39[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \sqrt[5]{x + 7} = - 2 \\\\ ➼ \: \sqrt[5]{ - 39 + 7} = - 2 \\ \\➼ \: \sqrt[5]{ - 32} = - 2 \\\\ ➼ \: \sqrt[5]{ - 2 \times - 2 \times - 2 \times - 2 \times - 2} = - 2\\ \\ ➼ \: \sqrt[5]{( { - 2})^{5} } = - 2\\ \\ ➼ \: - 2 = - 2 \\\\ ➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning. }}{\orange{❦}}}}}[/tex]

The solution of the given equation would be; x = -39.

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation as,

[tex]\sqrt[5]{x+7} = -2[/tex]

WE need to find the solution of the given equation which can be calculated as;

[tex]\sqrt[5]{x+7} = -2[/tex]

First raise both sides to the power 5;

[tex](\sqrt[5]{x+7} )^5= -2^5[/tex]

Now x + 7 = - 32

subtract 7 from both sides, we get;

x = - 39  

Hence, the  solution of the given equation would be; x = -39.

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ2

Help please!!! I don’t understand this question

Answers

Answer:

C

Step-by-step explanation:

Let us first write an equation. Using the SOHCAHTOA rule, we should know that the tangent of an angle equals it's [tex]\frac{opposite}{adjacent}[/tex]. The opposite of our given 20° angle is 9, and the adjacent side is x.

[tex]tan(20[/tex]°[tex])=\frac{9}{x}[/tex]

[tex]0.364=\frac{9}{x} \\x=\frac{9}{0.364}\\x=24.7[/tex]

C

I hope this helps! Let me know if you have any questions :)

A bicycle has a listed price of 593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

the answer is in  

Step-by-step explanation:

Exercise 5.2
Which of the capital letters of the English alphabet are symmetrical?​

Answers

Answer:

The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX

Step-by-step explanation:

hope it helps

I will give BRAINLIEST to whoever answers correctly first!!!

Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?

Answers

$3.18

Explanation: I am a cashier hahaha

Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84

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