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

You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
1. What is the finance charge?
2. What is your monthly payment?

* Please explain how you got the answer*

Answers

9514 1404 393

Answer:

$304$91.83

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

  I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

  I = $1900×0.08×2 = $304

The finance charge is $304.

__

2. The monthly payment will be the total amount due, divided by the number of months.

  payment = ($1900 +304)/24 = $2204/24 ≈ $91.83

The monthly payment is $91.83.

. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *

Answers

Answer:

x= -4

y= -8

This will be the solution

Please help!
Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions? O A. 0.032 . B. 0.072 O C. 0.095 O D. 0.055 SUBMIT​

Answers

Answer:

[tex]\text{A. 0.032}[/tex]

Step-by-step explanation:

Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.

Formula:

[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.

What we're given:

[tex]P[/tex] of 0.1[tex]n[/tex] of 90

Substituting given values, we get:

[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]

6.2704 x 10v4 in standard form

Answers

Answer:

62704

Step-by-step explanation:

Given 6.2704 x 10^4

To convert to standard form:

6.2704 * 10^4

10^4 = 10*10*10*10 = 10000

6.2704 * 10000 = 62704

Hence, 6.2704 x 10^4 = 62704 in standard form

Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.
Which statement is true regarding triangle TUV?

Angle T is the smallest angle.
Angle V is the smallest angle.
Angles U and V must be equal.
Angles U and T must be equal.
.

Answers

9514 1404 393

Answer:

  (b)  Angle V is the smallest angle

Step-by-step explanation:

The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.

The shortest side name is TU. The smallest angle is not T or U; it is V.

  Angle V is the smallest angle

Answer:

(b)  Angle V is the smallest angle

Step-by-step explanation:

Help me please I don't have much time

Answers

I want to say C and D, but i'm not completely sure.

3a. The distance around a circular track.
Circumference
Area

Answers

Answer:

Circumference

Step-by-step explanation:

The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.

True or False It is never sensible to calculate more than 100% of a number.​

Answers

Answer:

False

Hope this helps!

Match the base to the corresponding height. Base (b) Height (h) h h b b h




pls help me​

Answers

Answer:2 b

Step-by-step explanation:3 h

Answer:

thats your answer

Step-by-step explanation:

3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.

The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour​

Answers

Answer:

d. ​

Step-by-step explanation:

No, because a more appropriate technique can be used to control the behaviour​

can someone help me please?! I'll give brainlest for correct answer​

Answers

Answer:

MBE, REU, XBy, XEW, BER is an acute angle

WRU, RUm, XBM is an obtuse angle

RU, XE, Mm, ME, MU, WE, XB, MB, My is a straight angle

BM, BE, BX, By is an angle of vertex B.

I don’t know (for e)

BER: REB

I don’t know (for g)

EBy and XBM are two supplementary angles.

Step-by-step explanation:

Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.

Answers

Answer:

39

Step-by-step explanation:

Find the value of f(x) at both points

f(3) = 3(3)³ + 1 = 82

f(1) = 3(1)³ + 1 =  4

---------------------------

Average Rate of Change is just like slope

Divide the change in f(x) by the change in x

r = (82 - 4) / (3 - 1)

r = 78/2

r = 39

Solve the following equation for x: 2x – 3y = 6.
Ox = y + 3
Ox=y-3
3
2
Ox= -2y-3
2
Ox= -x + 3

Answers

Answer:

the answer is A

x=3/2y+3

Step-by-step explanation:

2x=6+3y

x=3+3/2y

x=3/2y+3 is the solution of the equation  2x-3y=6.

The given equation is 2x-3y=6

We need to solve for variable x in the equation.

Isolate the term with variable x.

Add 3y on both sides of the equation.

2x=6+3y

Now divide both sides by 2

x=3+3/2y

x is the solution of the equation.

x=3/2y+3

To learn more on Equation:

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Which of the following statements is true?

A.
m is parallel to /.
B.
/ and m bisect each other.
C.
The distance from A to A' equals the distance from A to m.
D.
m bisects /.

Answers

D. M bisect
Got it correct

PLEASE HELPP!!
f(x) = 3x2 + 5x – 2
g(x) = 5x3 – 4x2 + 4
Find (f +g)(2)
O A. (f +g)(x) = 5x + 3x2 + x + 2
B. (f +g)(x) = 8x3 + x + 2
O c. (f +g)(x) = 523 – 2? + 5x + 2
O D. (f +g)(x) = -52% + 7x2 + 5x – 6

Answers

Answer:

C. (f+g)(x) = 5x^3 - x^2 + 5x + 2

Step-by-step explanation:

Combine like terms:

5x^3 + 0 = 5x^3

-4x^2 + 3x^2 = -x^2

5x + 0 = 5x

4 - 2 = 2

5x^3 - x^2 + 5x + 2

PLZ HELP ASAP !!!!!!

Answers

Answer:

c there you go hi your welcome

Write three solutions for the inequality 13 - 8X < -11

Answers

Answer:

x > 3

-x < -3

3 < x

-3 > -x

Step-by-step explanation:

-8x < -24

x > 3

-x<-3

HELP. Been wasting points because of trolls.

If another troll appears then I dont know npw maybe just end this sh t and I dont have friends too so I cant copy from anyone.​

Answers

Answer:

A = 26.6°

Step-by-step explanation:

To obtain the measure of angle A :

We use the trigonometric relation :

Tan A = opposite / Adjacent

Tan A = 6 / 12

Tan A = 1/2

A = tan^-1(1/2)

A = 26.565°

A = 26.6°

There are 10 students in a class. The teacher chooses 3 students to go to the
library. The order in which they are chosen does not matter. How many ways
are there to choose the students?
A. 100
B. 90
C. 720
D. 120

Answers

Answer:

D

Step-by-step explanation:

Since the order does not matter, then it is a combination question,

So you just use the combination technique,

10C3 = 10!/(10!(10-3)!) = 120 ways

Answer: 120

Step-by-step explanation:

i just took the quiz

At the grocery store near Josie's home, Cheerios cost 99 cents per box. The cost of a box of Tasteeos is only 5/9 of the cost of a box of Cheerios. How many cents will Josie have to pay for one box of Tasteeos cereal?

Answers

The answer is 55

Hope this helps :D

Also I can explain why

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

Answers

Answer:

probably linear graph 'cause it's in a straight line

Answer:

Step-by-step explanation:

First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

Learn more about distance here:

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Hello! I was wondering if anyone can help me out on this question?
Function 1 is defined by the following table.
r: 0, 4, 5, 7
y: -3.5, -1.5 -1, 0

Function 2 is defined by line q (see attached image)

Which of these functions has a greater slope?
A. Function 1
B. Function 2
C. The functions have the same slope

Answers

Answer:

Function 2

Step-by-step explanation:

Function 2 or line q would have a greater slope

Please mark as brainliest answer

Solve for x for this triangle (geometry)

Answers

Answer:

[tex]x=60^{\circ}[/tex]

Step-by-step explanation:

The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle [tex]y[/tex].

The following equation solves for [tex]y[/tex]:

[tex]y+119=180,\\y=61^{\circ}[/tex]

Solving for [tex]x[/tex]:

[tex]x+59+61=180,\\x=\boxed{60^{\circ}}[/tex]

The value of p(x) = 5x− 4x + 3 for x = −1 is ________.​

Answers

Answer:

Step-by-step explanation:

p(-1)=5*-1 -4*-1 +3

=-5-(-4) +3

=-5+4 +3

=-5+7

=2

Answer:

2

Step-by-step explanation:

p(-1)= 5(-1)-4(-1)+3

p(-1)= -5+4+3

p(-1)= 2


The sine of 30 degrees is 1/2. What is the cosine of 60 degrees?

Answers

Answer:

Sine (30°) = cosine(90-30) = cos(60°) = 1/2

Step-by-step explanation:

The value of the [tex]cos 60^0[/tex] is [tex]\dfrac{1}{2}[/tex].

Recall the relationship between the sine and cosine

[tex]cos^2\theta= 1-sin^2\theta\\cos 2\theta = cos^2\theta - sin^2\theta[/tex]

How to find the cosine values?

Given the value of [tex]sin30^0[/tex] is [tex]\dfrac{1}{2}[/tex].

Use the relation between the sine and cosine as-

[tex]\cos^230^0=1-\sin^230^0\\=1-\dfrac{1}{4}\\=\dfrac{3}{4}\\[/tex]

Use another relation [tex]\cos 2\theta = \cos^2\theta -\sin^2\theta[/tex] as-

[tex]\cos(2\times 30^0)=\cos^2{30^0}-\sin^2{30^0}\\=\dfrac{3}{4}-\dfrac{1}{4}\\=\dfrac{1}{2}[/tex]

Hence, [tex]\cos 60^0[/tex]  is value is [tex]\dfrac{1}{2}[/tex].

Learn more about trigonometric functions here-

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A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available

Answers

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

whats the formula for volume

Answers

Answer:

Volume for cube: L x W x H

L= Length, W= width, H=height

There are various volumes in mathematics so which one are u talking about specifically?

suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million​

Answers

Answer:

53 million.

Step-by-step explanation:

$26.2 / total = 0.49 ($ in millions)

Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?

Answers

Answer:

The surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

Given that,

A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2  inches.

The surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2[/tex]

So, the surface area of the prism is equal to 72 sq inches.

(a)
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?




___liters

Enter your answer as a fraction or a mixed number.

(b)
Write a number sentence that represents the problem.




___________ = __________


In the first box write an equation like 1+11+11+1 . In the second box, write your answer.


PLS DON'T FOR GET TO DO PART B TOO I AM BEGING YOU!

Answers

Answer:

a) 30.60

b) 1010/33 = 30.60

Step-by-step explanation:

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