Given that 5 cos (x+8.5)° - 1 = 0
0° ≤x≤ 90, calculate correct to the nearest degree, the value of x.​

Answers

Answer 1

Answer:

  x = 70

Step-by-step explanation:

To solve for x, use inverse operations to undo the operations performed on x.

__

  5cos(x +8.5)° -1 = 0 . . . . given

  5cos(x +8.5)° = 1 . . . . . . add 1

  cos(x +8.5)° = 1/5 . . . . . divide by 5

  x° +8.5° = arccos(1/5) . . . . take the inverse cosine

  x° = arccos(1/5) -8.5° ≈ 70° . . . . evaluate the expression

The value of x is 70.


Related Questions

Find AUB and AnB for set A and B

Answers

Answer:

Option C is the correct answer

Step-by-step explanation:

A= {-4, -6, 6, 4} (Given)

B = {-8, -4, -5, -6, 0} (Given)

[tex]A \cup B = \{-4, -6,\: 6, \:4, -8, -5, \:0\}[/tex]

[tex]A\cap B= \{-4, -6\}[/tex]

Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.

Nurses need to calculate the drip rate, D, in drops per minute for infusions.

They use the formula D =dv/60n where

d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.

A nurse wants to double the time an infusion runs for.

Describe precisely how D changes if n is doubled but d and v do not change.

Answers

Answer:

D is halved

Step-by-step explanation:

Given :

D = -dv/60n

If n is doubled :

D' = -dv/60(2n)D' = -dv/120nD' = D/2

When n is doubled, D (the drop factor) is half of its original value.

Hello please help me………….thank you

Answers

Answer:

1. False —> that’s how you find the perimeter.

2. False —> area is measured in square units.

3. False —> you can only use a multiplication.

4. True —> (2x6) + (2x8) = 28 inches.

5. False —> 5x5 = 25 square meters.

—-

Have a nice day!!

Answer:

Step-by-step explanation:

1 False. The suggestion given is for Perimeter, not area.

2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches

3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.

4.True

5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20

PLEASE HELP ME WITH PROB AND STATS

6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

Answers

Answer:

y = 5.07 + 0.850x

Step-by-step explanation:

You can check all equation on the calculator y =

Question 3 (2 points)
Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a
haircut for a woman is $44.
Which statement is true about the cost of haircuts?

Answers

The statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Therefore, the statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".

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Johnny has to buy his mother a birthday present. If he spends $90 on 5 necklaces, how much was each necklace?

Answers

Answer:

$450

Step-by-step explanation:

Raj stacked a box that is 24/100 meter tall on top of a box that is 4/10. How tall are the two boxes when stacked

Answers

Answer:

The answer will be 28/110 .

The answer is 24/100 + 4/10 = 24/100 + 40/100 =64/100 metres

Help!!! Please and thank you.

Answers

43.7 degrees

tan-1=43/45

Mr. Clinton chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)



{48, 36, 23, 19, 50, 50, 49, 47, 38, 20}

Answers

Answer:

38.0

Step-by-step explanation:

'Mean' is just the average of the 10 scores ....

  add them all together and divide by 10

   380 / 10 = 38

There are 30
in a
Passengers
bus. 2/3 of them are men then
the percentage of women
is ?

Answers

Answer:

33.33....

Step-by-step explanation:

If 2/3 of them are men, then 1/3 are women. I/3=0.333....

To find the percent you multiply by 100 and get 33.3333 and you can write then however your system requests a repeating decimal.  

From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me

Answers

Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean

(Figure is attached )

We know , Angle Of depression = Angle Of elevation

For finding base length from the ship to base of lighthouse ,

Tanθ = perpendicular/base

Tan 27° = 180ft/base

Base = 180/0.5095 (Value of tan 27° is 0.5095)

Base = 353.28 ft.

Base = 4239.36 inches

1. Why is it important to separate experimental groups by a random process?

2. Why is it important to select samples from a population using random selection?

Answers

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

What is randomization?

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

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Solve this

4 ∙ 7 1/2 ∙ 1 3/5

Answers

Step-by-step explanation:

[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]

[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]

[tex] = \frac{3}{1} . \frac{4}{1} [/tex]

[tex] = 12[/tex]

[tex] \: [/tex]

Volume of 15 ft 13ft and 8ft

Answers

Answer: 1560

Step-by-step explanation:

15 x 13 = 195 and 195 x 8 = 1560

Samuel is trying to construct the inscribed circle of a triangle.
However, all he can remember is the first step: Use angle bisectors
to find the incenter. What is the next step he needs to do to
complete the construction?

Answers

The next step to complete the construction will connect the in-center to one of the sides of the triangle.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

Samuel is trying to construct the inscribed circle of a triangle.

Using the angle bisectors to find the in-center.

Where two angles bisector meets, the point called in-center.

Next step will be: connect the in-center to one of the sides of the triangle.

Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.

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Translate the phrase into an algebraic expression the product of W and 9

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The phrase "the product of W and 9" in the form of an algebraic expression can be written as,

Expression = 9 × W = 9W

Hence, the algebraic expression that can represent the product of W and 9 is 9W.

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Add.

−4 3/8 + 8 6/7

It should be a mixed number.

Answers

Answer:

4 27/56

Step-by-step explanation:

−4 3/8 + 8 6/7

8 6/7−4 3/8

subtract whole numbers 8-4=4

combine fractions 6/7-3/8=27/56

4+27/56

=4 27/56

Round 82585 to the nearest ten thousand. Enter your answer in the box
below.

Answers

The answer to this is 80000

comparing -4 to -5 integers

Answers

what they have in common is that there both Intergers but What's different is that there -1 off


Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km
ahead of Car A. Car A is travelling at 60 km · while Car B at 50 km 1. They both start at 12:00
hours. At what time Car A will overtake Car B?

Answers

Answer:

2 o'clock

Step-by-step explanation:

Their 'closing speed' is 60 - 50 = 10 km/hr

they have 20 km between them

 at closing speed this will take   20 km / 10 km/hr = 2 hours for the cars to meet....this would be at 14:00    or  2 oclock


PLEASE HELP NOW PLEASE

Answers

Answer:

C.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

sum is 3

2.4 rounds to 2, not 3

It's not reasonable

so, the answer is C.

Answer:

C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 3. So, it is not reasonable.

Step-by-step explanation:

https://brainly.com/question/27663230

use the appropriate conversions listed to convert 8 gallons into pints

2 cups=1 pint
2 pints=1 quart
4 quarts=1 gallon

Answers

Answer 64 pints

4qt = 1 gal,
times both sides by 8 gal
32qt = 8 gal, times qts x 2 (pints per qt.)
32qt = 64 pints

1. Answer the following questions on the number given below. 12,34 761 (a) What is this number called?​

Answers

Step-by-step explanation:

one million, two hundred thirty-four thousand, seven hundred sixty-one

Please help, image below. Thank you!

Answers

Line segment JN: radius is half way from the middle point of the circle. If we look at all the other answers they’re all full length of the circle which is diameter

A radius extends from the center of the circle to the edge.

If J is the center of the circle, then possible radii are JK, JL, JM, and JN.


Of those options, JN is the only one listed as an answer choice.

Answer: Third option, JN

Hope this helps!

determine the amplitude, b value, period, phase shift, and vertical shift for each function. y = 2 sin 3 (x + 3/2π)

Answers

Answer:

Amplitude:2

b value: pi/6 ± 2 pi/3

period: 2 pi /3

phase shift: 3/2 pi to the left

vertical shift: 0

Hope this helps!!!

Please mark me as brainliest!!!

P.S. I only need one more brainliest to get Virturoso

On a field trip to the planetarium, three students rode with their parents and the rest were evenly distributed on four buses. If 119 students went to the planetarium, how many were on each bus.​

Answers

Answer:

29

Step-by-step explanation:

You do 119-3 because 3 students rode with their parents so then you do 116÷4=29

17) Your parents put $2000 into an account when you were born. This account has an interest rate of 8%
How much money will be in the account on your 18th birthday if the interest is
a) Compounded annually?
b) Compounded continuously?

Answers

Answer:

a.......4880

Step-by-step explanation:

b.......180 per year

6
5
4
3
2
1
A
654-3-2-1₁.
-2-
3-
4+
B
5
2 9 4 9
6
uje
1 2 3 4 5 6 X
с
What are possible coordinates of point F if ADEF is
congruent to AABC?
(-1,4)
(4,-1)
(0,-1)
(-1,0)

Answers

Answer:

(-1;4)

Step-by-step explanation:

as the triangles are congruent

The coordinate of point F is (1-, 4). Therefore, option A is the correct answer.

What is coordinate plane?

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given graph, the coordinate points are A(-5, 0), B(-5, -5) and C(2, -5).

Here, ΔABC and ΔDEF are congruent triangles.

So, the coordinate of point F are (1-, 4)

Therefore, option A is the correct answer.

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What is the image point of (1, -2) after a translation right 4 units and down 4 units?​

Answers

Answer:

Hello!!!!

THE ANSWER: (5, -6)

Please read the explanation... it always helps... trust me...

Step-by-step explanation:

Okkeeeee lets beginnnn....

A translation is when you move a point of shape in a coordinate plane

so a translation of a point to the right means you are moving the point to the right of the coordinate plane meaning the positive side of the x-axis... so in this case you will need to add 4 to the x-coordinate....

simarily to the "down four units"

moving it down means subtraction.... meaning you need to subtract 4 from -2 which gets you -6...

I REALLY HOPE THIS HELPS!!! :)

What will be the new function g(x) if f(x)=2x is translated 2 units down and 3 units left?

Answers

2 units down means y is decreased by 2

3 units left mean x is decreased by 3

So

for

f(x)=2x

The translation is

f(x)=2(x+3)-2
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