Find a in degrees.
3
V58
7
?

Find A In Degrees.3V587 ?

Answers

Answer 1

Answer:

  23.20°

Step-by-step explanation:

All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.

Trig relation

The tangent of the angle is the ratio of opposite and adjacent sides:

  Tan = Opposite/Adjacent

Here, that means ...

  tan(α) = 3/7

To find the value of α, we need to use the inverse tangent function, also called the arctangent function.

  α = arctan(3/7) ≈ 23.19859°

  α≈ 23.20°


Related Questions


A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 8? Express your answer as a fraction or a decimal
number rounded to four decimal places.

Answers

Answer:

Step-by-step explanation:

Nines: (3,6), (4,5), (5,4), (6,3)

Tens: (4,6), (5,5), (6,4)

Elevens: (5,6), (6,5)

Twelves: (6,6)

4 + 3 + 2 + 1 = 10 outcomes possible

36 outcomes total for rolling two dice.

P(sum > 8) = 10/36 or 5/18 simplified.

FIFO and LIFO Costs Under Perpetual Inventory System The following units of an item were available for sale during the year: Beginning inventory 30 units at $40 Sale 21 units at $62 First purchase 30 units at $42 Sale 19 units at $64 Second purchase 26 units at $44 Sale 23 units at $64 The firm uses the perpetual inventory system, and there are 23 units of the item on hand at the end of the year. a. What is the total cost of the ending inventory according to FIFO? $fill in the blank 1 b. What is the total cost of the ending inventory according to LIFO?

Answers

The ending inventory using LIFO is $920.

The ending inventory using FIFO is $1,472.

What is the ending inventory?

LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold. Ending inventory would consist of first purchased inventory.

23 x $40 = $920

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold. Ending inventory would consist of last purchased items in inventory.

23 x $64 = $1,472

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the mean monthly electric bill is 132 residents of the local apartment complex is $86 what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?

Answers

Considering the sample mean, the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.

How to find the point estimate of a population parameter?

The point estimate for the population parameter is found according to the parameter for a sample from the population. For example:

The best point estimate for the population mean is the sample mean.The best point estimate for the population standard deviation is the sample standard deviation.

In this problem, the mean bill for 132 residents is of $86, hence the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.

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Solve for x: -4(3x - 2) = 6x +2

Answers

Answer:

x=1/3

Step-by-step explanation:

-4(3x-2)=6x+2

or,-12x+8=6x+2

or,-12x-6x=2-8

or,-18x=-6

or,x=-6/-18

or,x=1/3

Can someone please help me with calculus , i am having so much trouble. Thank you! 12points

Answers

1) If the limit [tex]L[/tex] is

[tex]L = \displaystyle \lim_{\Delta x\to0} \frac{\sin\left(\frac\pi3 + \Delta x\right) - \sin\left(\frac\pi3\right)}{\Delta x}[/tex]

then using the hint as well as [tex]\sin\left(\frac\pi3\right)=\frac{\sqrt3}2[/tex] and [tex]\cos\left(\frac\pi3\right)=\frac12[/tex] we have

[tex]\displaystyle L = \lim_{\Delta x\to0} \frac{\sin\left(\frac\pi3\right)\cos(\Delta x) + \cos\left(\frac\pi3\right)\sin(\Delta x) - \sin\left(\frac\pi3\right)}{\Delta x}[/tex]

[tex]\displaystyle L = \sin\left(\frac\pi3\right) \lim_{\Delta x\to0} \frac{\cos(\Delta x) - 1}{\Delta x} + \cos\left(\frac\pi3\right) \lim_{\Delta x} \frac{\sin(\Delta x)}{\Delta x}[/tex]

[tex]L = \dfrac{\sqrt3}2 \times 0 + \dfrac12\times1 = \boxed{\dfrac12}[/tex]

which follows from the well-known limits,

[tex]\displaystyle \lim_{x\to0} \frac{1-\cos(x)}x = 0 \text{ and } \lim_{x\to0} \frac{\sin(x)}x=1[/tex]

Alternatively, if you already know about derivatives, we can identify the limit as the derivative of [tex]\sin(x)[/tex] at [tex]x=\frac\pi3[/tex], which is [tex]\cos\left(\frac\pi3\right)=\frac12[/tex].

2) It looks like you may be using double square brackets deliberately to denote the greatest integer or floor function which rounds the input down to the nearest integer. That is, [tex][\![x]\!][/tex] is the greatest integer that is less than or equal to [tex]x[/tex]. The existence of [tex]L[/tex] depends on the equality of the one-sided limits.

Suppose [tex]3\le x<4[/tex]. Then [tex]2[tex]\displaystyle \lim_{x\to4^-} [\![x - 1]\!] = 2[/tex]

Now suppose [tex]4\le x<5[/tex], so that [tex]3\le x-1 < 4 \implies [\![x-1]\!]=3[/tex] and

[tex]\displaystyle \lim_{x\to4^+} [\![x-1]\!] = 3[/tex]

The one-sided limits don't match so the limit doesn't exist.

What is the area of the parallelogram?

Enter your answer in the box.

mm²
Parallelogram. Left side labeled 21 millimeters. Top side labeled 27 millimeters. A dashed segment perpendicular to the 27 millimeter side is labeled 18 millimeters.

Answers

Answer:

486mm²

Step-by-step explanation:

The area of a parallelogram is h*b where h is the height/altitude and b is the base.

The base is 27 millimeters and the altitude is 18 millimeters, so we multiply those together.

27*18= 486.

The area of the parallelogram is 486mm²

Hope this helps!

This table shows rainfall in centimeters for a city in different months the quadratic regression equation that models these data is y=-0.77x^2+6.06x-5.9. Using the model the predicted rainfall for month 11 is about -32.4 centimeters does this prediction make sense why or why not HELP ASAP

Answers

Answer:

  (a) No; rainfall amounts are positive

Step-by-step explanation:

Rainfall amounts are measured using a gauge that reports the amount as zero when the gauge is empty. Any rainfall adds to the amount in the gauge, so is reported as a positive number. There is no way to remove more rainfall than is in the gauge, so there is no way to have a negative rainfall amount

A prediction of a negative rainfall amount makes no sense, because you can't have a negative amount of rainfall.

I need help solving this problem

Answers

There’s nothing..? Maybe try adding a picture
Upload the problem!!!

3 gallons of milk having a hole in it and leaking at the rate of 1.5 ounces a second for 2 minutes. How much milk is left at the end?

Answers

Answer: 1.59375. Round to 1.6 if need be.

Step-by-step explanation:

Their are 384oz in 3 gallons (multiply gallons by 128)

Their are 120 seconds in 2 minutes (multiply minutes by 60)

Multiply 1.5 * 120 = 180 to get how many oz have drained after 2 minutes.

Subtract 384 - 180 = 204 to get how many oz left in the milk container.

Convert 204oz to gallons by dividing by 128. 204 / 128 = 1.59375gallons.

100 POINTS!!! A group of students were asked if they carry a credit card. The responses are listed in the table. If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.

Answers

21/100=.21

Since it’s saying their is a student selected at random that means it is out of 100 students. Then it’s asking for freshman who have a credit card which is 21 people. That means it’s 21/100 which is .21 probability.

Answer:

0.350  (3 d.p.)

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student owns a credit card

Use the given table to calculate the probability that the student is a freshman:

[tex]\implies \sf P(A)=\dfrac{60}{100}=0.6[/tex]

And the probability that the student is a freshman and owns a credit card:

[tex]\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21[/tex]

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

Conditional Probability Formula

The probability of B given A is:

[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

Substitute the found values into the formula:

[tex]\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35[/tex]

Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35

Consider the following​ couple, who are engaged to be married. Assume that each person takes one exemption and the standard deduction. Answer the questions below using the tax rates in the table to the right.

Answers

The income tax of Rebecca and Steve will be $27020 and $20625.

How to illustrate the tax?

Rebecca has an income of $96500. The income tax will be:

= 28% × $96500

= 27020

Steve has an income of $82500. The income tax will be:

= 25% × $82500

= 20625

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the area of a right triangle is 6 square units. if the length of one leg is 4, what is the length of the altitude to the hypotenuse?
a) 6/5 d)12/5
b)4/3 e)15/4
c)3/2

Answers

The length of the altitude to the hypotenuse of the right triangle is 3 / 5

How to find the altitude of a right triangle?

A right triangle has one of it's angle as 90 degrees. Therefore,

area of right triangle = 1 / 2 bh

where

b = baseh = height

Hence,

6 = 1 / 2 × 4 × h

6 = 4h / 2

cross multiply

12 = 4h

divide both sides by 4

h = 12 / 4

h = 3 units

Hypotenuse² = 4² + 3²

c² = 16 + 9

c = √25

c = 5

Therefore, the length of the altitude to the hypotenuse of the right triangle is 3 / 5

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12. Of two inlet pipes, the smaller pipe takes four hours longer than the larger pipe to fill a
pool. When both pipes are open, the pool is filled in three hours and forty-five minutes. If
only the larger pipe is open, how many hours are required to fill the pool?

Answers

Answer:

6 hours

Step-by-step explanation:

Let the smaller pipe fill the pool in x hours and the bigger pipe y hours.

x-y=4

1/x+1/y=4/15

x=10, y=6

so 6 hours

Step-by-step explanation:

l = large pipe

s = small pipe

s needs x hours alone to fill the pool.

l needs x-4 hours alone to fill the pool.

s does 1/x of the work in 1 hour.

l does 1/(x-4) of the work in 1 hour.

3 hours 45 minutes = 3.75 hours

3.75 × 1/x + 3.75 × 1/(x-4) = 1 (= the whole work)

3.75 + 3.75 × x/(x-4) = x

3.75×(x-4) + 3.75×x = x(x-4) = x² - 4x

3.75x - 15 + 3.75x = x² - 4x

7.5x - 15 = x² - 4x

-15 = x² - 11.5x

0 = x² - 11.5x + 15

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -11.5

c = 15

x = (11.5 ± sqrt(132.25 - 4×1×15))/(2×1) =

= (11.5 ± sqrt(72.25))/2 = (11.5 ± 8.5)/2

x1 = (11.5 + 8.5)/2 = 20/2 = 10

x2 = (11.5 - 8.5)/2 = 3/2 = 1.5

x = 1.5 would turn l = 1/(x-4) negative, which does not make sense.

so, x = 10 is our solution.

that means

s does 1/10 of the work in 1 hour.

so, the small pipe alone fills the pool in 10 hours.

l does 1/(10-4) = 1/6 of the work in 1 hour.

so, the large pipe alone fills the pool in 6 hours.

Select the solution to the following system of equations:

Answers

Answer:

4x+2y=4

3x-y=-7

first one by 3

second by 4

12x+6y=12

12x-4y=-28

subtract

10y=40

y=4

plug in

3x-4=-7

add 4

3x=-3

x=-1

(-1,4)

c

Hope This Helps!!!

Answer: third option

Step-by-step explanation:

There are 2 ways to go about systems of equations normally, and that's elimination and substitution. For this particular problem, I would recommend elimination.

we see the first equation 4x+2y=4

we want to be able to simplify it as much as possible (so it's easier to solve)

so we divide all the terms by 2, giving 2x+y=2.

the second equation can't be simplified, so we set up the elimination method.

   2x+y=2

  -3x-y=-7

multiplying both equations by 2 and 3, we subtract them and get that y equals 4, which is clearly the answer.

One Scrambled egg contains 95 calories . How many calories are there in 3 scrambled eggs​

Answers

There are 285 calories in three scrambled eggs.

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

Answer:  [tex]\textsf{285 total calories}[/tex]

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

Given: [tex]\textsf{1 egg = 95 calories}[/tex]

Find: [tex]\textsf{Calories in 3 eggs}[/tex]

Solution: In order to determine the total amount of calories in 3 eggs we must multiply the amount of calories in one egg by 3.  So we do 95 * 3 which gives us 285 total calories.

A relish is prepared by the following recipe:
pickles
onions
1000 pounds
500 pounds
900 pounds
75 pounds
5 pounds.
sugar
salt brine
spices
The onions are 85% water, the pickles are 92% water and 1.1% salt, and the salt brine is 88%
water. During processing, 18% of the water originally in the mixture is evaporated out.
What is the weight of relish prepared.

Answers

The weight of relish prepared after the evaporation of water is 2,226.02 pounds

Percentage

pickles = 1000 poundsonions = 500 poundssugar = 900 poundssalt brine = 75 poundsspices = 5 pounds

Total = 1000 + 500 + 900 + 75 + 5

= 2,480 pounds

pickles are 92% water

= 92/100 × 1000

= 920 pounds

onions are 85% water

= 85/100 × 500

= 425 pounds

salt brine is 88% water

= 88/100 × 75 pounds

= 66 pounds

Total water in the mixture = 920 pounds + 425 pounds + 66 pounds

= 1,411 pounds

Percentage of water evaporated = 18%

Amount of water evaporated = 18/100 × 1,411 pounds

= 253.98 pounds

Weight of the relish prepared = 2,480 pounds - 253.98 pounds

= 2,226.02 pounds

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so if you have to do goals what goals are best

Answers

It really depends what situation you are trying to set goals at,

Trying to understand math concept or any really concept, I would set little goals such as " Study for 15 mins a day" or something and the big goal would be "UNDERSTAND THE CONCEPT"

for goals, I would set small goals that work towards your main goal.

Answer:

Marriage and Family Harmony. ...

Proper Mindset and Balance. ...

Commitment to Improved Physical Health. ...

Career Passion and Personal Satisfaction. ...

Develop Empathy and Gentleness. ...

Financial Stability. ...

Service and Social Responsibility.

what term does the dormula sinA/a =sinB/b represent

Answers

Answer:

Law of sines

Step-by-step explanation:

The law of sines is a formula used to find either an angle or side in a non-right triangle.

You have to have at least three parts to use it.

For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.

Marlon's TV plan costs $40.66 per month plus $6.71 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?

Answers

Answer:

He can watch 8 movies

Step-by-step explanation:

100-40.66=59.34

6.71 x 8 = 53.68

therefore the most amount of movies he can watch is 8

Here is a right-angled triangular tile.
A hollow shape is made using four of these
triangular tiles and four square tiles.
Work out the perimeter of the hollow shape.

Answers

The perimeter of the hollow shape is 16d + 4(a + b + c)

How to determine the perimeter?

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine perimeter.

The given information are:

4 right triangles4 squares

The perimeter of a right triangle that has sides a, b and c is:

P = a + b + c

Since there are 4 triangles, the perimeter of the 4 triangles is:

P = 4(a + b + c)

The perimeter of a square that has side length d is:

P = 4d

Since there are 4 squares, the perimeter of the 4 triangles is:

P = 4 * 4d

P = 16d

Add the perimeters of the squares and the triangles

P = 16d + 4(a + b + c)

Hence, the perimeter of the hollow shape is 16d + 4(a + b + c), where a, b, c and d are the unknown variables

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what is the area of the shaded face of the cylinder is 22m
give your answer to the nearest whole number and give the correct units

Answers

The area of the shaded face of the cylinder with the given radius is approximately 1520cm².

This question is incomplete, the missing diagram is uploaded along the answer below.

What is the area of the shaded face of the cylinder?

From the diagram, the shaded region is a circle with radius 22 meters.

Area of a circle is expressed as;

A = π × r²

r is radius and π is constant pi ( π = 3.14 )

We substitute our values into the equation above.

A = π × r²

A = 3.14 × (22m)²

A = 3.14 × 484m²

A = 1519.76 ≈ 1520cm²

Therefore, the area of the shaded face of the cylinder with the given radius is approximately 1520cm².

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Roll the number cube below several times to get a sense of its random behavior. What is the probability of rolling a 3?

Answers

Step-by-step explanation:

If you roll the die once, the probability of getting a 3 is 1/6

If you roll the die twice and get a three both times, the probability of that happening is 1/6 * 1/6 or 1/36

and so on...

The probability of rolling a 3 is 1/6.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

A number cube is rolled several times.

There are a total of 6 numbers in a number cube.

Total outcomes = 6

We have to find the probability of rolling a 3.

Probability = 1/6

Hence the required probability is 1/6.

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Giving brainliest :)

Answers

Answer:

3

Step-by-step explanation:

first find g(-2) by plugging in -2 as x in the g(x) equation

g(-2) = 3(-2)+5

g(-2) = -6+5

g(-2) = -1

then plug that value (-1) as x in the f(x) equation

f(-1) = 4-(-1)^2

f(-1) = 4-1

f(-1) = 3

Why is it important to use the correct units of measurement when working with conversions?

Answers

Answer:

help to others the exact amount u have

Help don’t understand

Answers

Answer:

f(-14) = -6

f(-4) = 6

f(12) = 6

f(0) = -3

negative

Step-by-step explanation:

f(-14) = -6

This is because when x is -14, y is -6, as seen in the graph

f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

This is because when x is 0, y is -3, as seen in the graph

is f(4) positive or negative?
negative

This is because when x is 4, y is -6, as seen in the graph

Adrian exercised three days during the past week. He exercised 58 minutes and 45 seconds during the
first day, 40 minutes and 40 seconds on the second day, and 20 minutes and 35 seconds on the third
day. How many hours did he spend exercising during the week?

Answers

Answer:

2h 1' 1"

Step-by-step explanation:

1h = 1 hora

1' = 1 minute

1" = 1 secind

The sum of the three days is:

  58'  45"

+ 40'  40"

  20'  36"

= 118'  121"

118' 121" = 118' + 121"

1' = 60"

121" = 120" + 1"  = (120/60) + 1 = 2' + 1"

Then:

118' + 121" = 118' + 2' ´+ 1" = 120' + 1"

1 h = 60'

(120/60) + 1 = 2h + 1'

then:

118' + 121" = 2h + 1' + 1"

= 2h 1' 1"

Using the figure, which is an example of a diameter?

Answers

Answer: Segment AD

Reason:

Any diameter goes through the center of a circle, with both endpoints on the circle edge.

Another diameter is segment FC.

Answer:

CF and AD

Step-by-step explanation:

Hello!

Parts of a CircleA Radius is the line segment that stretches from the center of the circle to the outer curve.A Diameter is the line segment that stretches from side to side of a circle that goes through the center of the circle.The Circumference is the length of the outer border of the circle.

Given the definitions, we are simply looking for any line that goes through the center of the circle, and touches twice on the circumference of the circle.

There are only two lines that seem to go through the circle, and have endpoints on the circle:

CFAD

PLEASE HELP
For j(x) = 4x − 2, find j of the quantity x plus h end quantity minus j of x all over h period


4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h end quantity all over h

4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h

4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h minus 1 end quantity all over h

the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h

Answers

Step-by-step explanation:

The figure below shows a portion of the graph of the function [tex]j\left(x\right) \ = \ 4^{x-2}[/tex], hence the average rate of change (slope of the blue line) between the [tex]x[/tex] and [tex]x+h[/tex] is

                     [tex]\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}[/tex]

                                                            [tex]\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}[/tex]

Need help with this

Answers

Answer:

23 degrees

Step-by-step explanation:

We can use basic trigonometric equations to solve for the angle x because we are given a right triangle.

I will use the sin x = opposite / hypotenuse

sin x = 5 / 13

x = sin^-1 (5 / 13)

x = 22.61986 degrees

The question requires us to round to the nearest degree which is 23.

Other alternative methods you can use include the tangent and cosine functions or the law of cosines.

Answer:

x = 23°

Step-by-step explanation:

I will use

[tex]tanx=opposite/adjacent[/tex]

[tex]tanx=\frac{5}{12}[/tex]

[tex]x=tan^{-1} (\frac{5}{12} )=tan^{-1} (0.417)=22.62^{o}[/tex]

rounded to the nearest degree : 23°

Hope this helps

will give brainliest

Answers

Answer:

Step-by-step explanation:

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