Find the value of x.
Explain your answer.

Find The Value Of X.Explain Your Answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

The hypotenuse is 16 and the adjacent angle is x.

So using SohCahToh

O is opposite, H is the hypotenuse, and A is adjacent.

Soh: sin(theta)= O/H

Cah: cos(theta)= A/H
Toh: tan(theta)= O/A

Any side length that is next to degree 60° is adjacent so x is adjecent.

Using Cah.

cos(theta)= A/H

cos(60°)= x/16

x=16*cos(60°)

x=16*1/2

x=8


Related Questions

A police officer recorded the speeds of the first six cars whose drivers he ticketed for speeding today.

Car Speed
(miles per hour)
1 67
2 74
3 85
4 80
5 74
6 82

What is the mean of the cars' speeds?

Answers

Answer:

The mean is 77.

Step-by-step explanation:

Step one: add all the numbers

Step two: Divide the sum by the number of values you added

(example: 1,5,8,12,13. You would add them together, since we have 5 numbers, we will divide the sum by 5, then we have the mean)

462 divided by 6 is 77

Hope this helps!

Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

Therefore, area is 50.24

Step-by-step explanation:

⇒ Area = [tex] \sf \pi {r}^2 [/tex]

Radius = 4

⇒Area = 3.14 × 4²

⇒Area = 50.24

The answer:= 12π

I got this on khan academy.

the visual representation of data that is used to show how all the parts of something are related to the whole

Answers

Answer:pie charts?

Step-by-step explanation:

Find the sum of all multiples of 7 from 7 to 126, inclusive.

Answers

345 because I said so JIT

a bottle of ketchup as a net weight of 22 ounces. a serving size is 1/2 ounce. how many servings are in the bottle?

Answers

Answer:

44 servings are in the bottle

Answer:

44

Step-by-step explanation:

One trick for dividing fractions is:

1. Keep the first fraction. 22/1 divided by 1/2

2. Change division into multiplication. 22/1 times 1/2

3. Flip the second fraction. 22/1 times 2/1

22*2 is 44

1*1 is 1

The final answer should be 44/1

50 points each question. Please help. How do I solve?

Answers

[tex]~~~~~~\tan^{-1}(xy) = \sin^{-1}(4x+4y)\\\\\\\implies \dfrac d{dx} \left[ \tan^{-1}(xy)\right] = \dfrac d{dx} \sin^{-1}\left( 4x+4y\right)\\ \\\\\implies \dfrac{1}{1+(xy)^2} \left[ \dfrac{d}{dx} (xy)\right] = \dfrac{1}{\sqrt{1-(4x+4y)^2}} \cdot \dfrac{d}{dx}(4x+4y)\\\\\\\implies \dfrac{1}{1+x^2 y^2} \left(x\dfrac{dy}{dx}+y \right)=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\\\\\\\[/tex]

[tex]\implies \left(\dfrac{x}{1+x^2y^2} \right) \dfrac{dy}{dx} + \dfrac{y}{1+x^2y^2}=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\[/tex]

[tex]\\\\\implies 0 \cdot \dfrac{dy}{dx} +0 = \dfrac{1}{\sqrt{1 -0}} \left(4+4 \dfrac{dy}{dx} \right) ~~~~~~~~~;\left[ \text{at}~~ (0,0) \right]\\\\\\\implies 4+4 \dfrac{dy}{dx} = 0\\\\\\\implies \dfrac{dy}{dx} = -\dfrac 44\\\\\\\implies \dfrac{dy}{dx} = -1\\\\\text{So, the slope of the tangent line at (0,0) is}~ -1\\ \\\\\text{The equation of tangent line,}\\\\~~~~~~y-0 = -1(x-0)\\\\\implies y=-x[/tex]

Please Help Find the volume ​

Answers

Answer:

0.065 units ³

Step-by-step explanation:

Volume of sphere = 4/3 π r³

=> 4/3 × 22/7 × 1/4 × 1/4 × 1/4

=> 0.065 units³

Answer:

[tex]\frac{1}{48}[/tex] π units³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius ) , then

V = [tex]\frac{4}{3}[/tex] π × ( [tex]\frac{1}{4}[/tex] )³

  = [tex]\frac{4}{3}[/tex] π × [tex]\frac{1}{64}[/tex] ( cancel 4 and 64 on numerator/ denominator by 4 )

  = [tex]\frac{1}{3}[/tex] π × [tex]\frac{1}{16}[/tex]

  = [tex]\frac{1}{48}[/tex] π units³

where does a line and a plane intersect?

a. point
b. plane
c. line

Answers

Answer:

A. point

Step-by-step explanation:

An intersection of a line and a plane is at the point.

How much was made if 900 raffle tickets were sold at 5 for $20?

Answers

Answer:

$3600

Step-by-step explanation:

900/5=180

180*20=3600

Answer:

$3600

Step-by-step explanation:

Since they are being sold 5 at a time, divide 900 by 5 first to get 180. Then, since every 5 are worth 20$, multiply 20 by 180 to get $3600.

David went to the store and bought a bag of
jellybeans for $1.73, an Easter basket for
$5.04, and a floppy bunny for $8.22. Assuming
there is no sales tax, how much change should
David receive if David gives the cashier a
twenty-dollar bill

Answers

Answer:

$5.01

Step-by-step explanation:

20 - (1.73 + 8.22 + 5.04)

20 - (9.95 + 5.04)

20 - 14.99

5.01

Therefore, my answer is right.

Find the value of x if

Answers

Answer:

X=-1 or x=1/3

Step-by-step explanation:

That is the explanation in the photo

The change in the price for day 2 is of the change in the price for day 3. At the end of day 5,
the price of Meredith's stock is $32.05. What is the change, in dollars, in the price of the stock
for day 5?

Answers

Answer:

+ 0.26

Step-by-step explanation:

Identify the series of transformation that will move figure A to the new location of figure B.

Answers

Answer:

translate down 6 units and left 3 units

a gate keeper earns 31,000 naira per month. he gets 1000 naira of his income as tax free. if he pays tax at the rate of 6 kobo per naira, how much is his monthly salary after paying his income tax?​

Answers

Answer:

28,200 naira would be his income after he paid 1800 to taxes

Step-by-step explanation:

First, let's use the information to find out how much he got taxes on.

We should deduct 1000 naira from his monthly income because it is not taxed leaving 30,000 of taxable income

Then multiply his income by the percentage of tax he receives which is .06

30,000 x .06 = 1800

Then subtract money that is taxed by his income

30,000 - 1800 = 28,2000

There are 5 blue birds, 6 green ones and 3 black ones. If I randomly catch 2 birds, what is the probability the first bird is black and the second is green?​

Answers

Answer:

So you must first get the total of all the birds, which is going be a fraction of course , that being 14/14 birds in total, since there are only 3 black birds the probability of me getting a black one 3/14 because there are fourteen in total, and the probability for the green birds is 6/14.

The combined probability that the first bird is black and the second is green is 0.0918

What is Probability?

Probability is the likeliness of an event to happen.

Total Blue birds = 5

Total Green birds = 6

Total Black birds = 3

Total birds = 14

The probability of selecting two birds such that the first bird is black and the second is green.

Probability = ( No. of the desired outcome )/( Total outcomes)

The probability of selecting black bird is 3/14

The probability of selecting green bird is 6/14

Therefore, the combined probability that the first bird is black and the second is green is

= (3/14) * (6/14)

= 18/196

= 0.0918

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What percent of day care costs are more than ​$8600 ​annually?

Answers

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

[tex]\sf \mu=9000[/tex][tex]\sf \sigma=1000[/tex]

[tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%

The area formula for rectangular shapes is A=LW. What is the area of a rectangular shape with the dimensions of [tex]\sqrt[4]{11}[/tex] and [tex]\sqrt[4]{3}[/tex]?

Answers

Hi!

Given the area formula ~ A = LW

We need to multiply the two values:

[tex]\sqrt[4]{11} * \sqrt[4]{3}[/tex]

Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.

[tex]11*3=33[/tex]

Now, we apply the same root as before:

[tex]\sqrt[4]{33}[/tex]

Therefore, your answer is [tex]\sqrt[4]{33}[/tex]

Now, if you need that as a numerical value rather than a radical, it's roughly [tex]2.397[/tex]

Answer:

[tex]\textsf{area}=\sqrt[4]{33}\:\textsf{square units}[/tex]

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

[tex]\textsf{length}=\sqrt[4]{11}[/tex][tex]\textsf{width}=\sqrt[4]{3}[/tex]

Substitute given values into the formula:

[tex]\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}[/tex]

[tex]\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:[/tex]

[tex]\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}[/tex]

Evaluate the expression. – 5×(6+ – 5 1/ 2 )– – 1 4 /5. Write your answer as a fraction or as a whole or mixed number.

Answers

593/10

Hope this helps!

i need help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

[tex]83[/tex]

Step-by-step explanation:

[tex]5 - (18 \div 6) + (2 + 7)^{2} [/tex]

Divide the numbers ⬇

18 ÷ 3= 3

[tex]5 - 3 + (2 + 7)^{2} [/tex]

Add the numbers ⬇

2 + 7= 9

[tex]5 - 3 + 9 ^{2} [/tex]

Evaluate the power ⬇

9² = 81

[tex]5 - 3 + 81[/tex]

Calculate the sum or difference ⬇

[tex]5 - 3 + 81 = 83[/tex]

Hope this helps!! :)

PLS HELP ME WITH THIS!!!

Answers

Answer:PLS HELP ME WITH THIS!!!

PLS HELP ME WITH THIS!!!

Step-by-step explanation:PLS HELP ME WITH THIS!!!

is your correct answer

600kg is divided between misal and pratick so that misal gets 3/5 of the amount. How much does prayick get?

Answers

Answer:

240

Step-by-step explanation:

Misel: 600kg*3/5=360

Patrick: 600-360=240

What is the measure of \angle x∠xangle, x?

Answers

Answer:

x° = 74°

Step-by-step explanation:

The supplementary angle of 106° is x°

x° = 180° - 106° = 74°

Hope this helps

Natalia is a girl in a math class with a total of 11 girls and 9 boys. If the teacher selects one student at random to go to the board, what is the probability that Natalia will be selected?

A box of pens contains a total of 28 pens. If 4 of the pens are red and the rest are blue, what is the probability that the first pen pulled from the box will be red?

Katelyn has a package of 24 jelly beans. There are 9 cherry jelly beans in the package. What is the probability that the first jelly bean Katelyn pulls out of the package will be a cherry jelly bean?

A marble is drawn at random from a bag containing 2 blue marbles, 3 yellow marbles, and 7 orange marbles. What is the probability that the marble is not yellow and not blue?


(Five Stars & Thanks to whoever answers first)

Answers

Answer:

First, let's find how many students there are in total:

11 girls + 9 boys

= 20 students.

Out of those 20 students, we are trying to find the probability if Natalia will be selected first.

There is only one Natalia.

So, out of those students, the probability of selecting Natalia is a:

1/20 probability

(if wanted to convert into a percentage):

1/20 x 100

= 5% probability

Since we already know there are 28 given pens in total and 4 of them are red pens, there is a:

4/28 chance of selecting a red pen which can be simplified to a 1/7 probability.

(if wanted to convert into a percentage):

1/7 x 100

= 14% probability

Since we already know there are 24 jelly beans in total and 9 of them are cherry beans, there is a:

9/24 chance/probability of selecting a cherry jelly bean.

(if wanted to convert into a percentage):

9/24 x 100

= 37.5% probability

Let's first figure out how many marbles there are in total.

2 + 3 + 7

= 12 marbles in total.

Now let's exclude the marbles that are blue and yellow, leaving us with 7 orange marbles.

So the probability of selecting a marble that isn't blue/yellow is a:

7/12 probability

(if wanted to convert into a percentage)

7/12 x 100

= 58% probability

Sixth-grade students were asked, "What grade are you in?" Explain why this is not a statistical question.

Answers

Statistics are based on true facts. This is not a statistical question because someone may answer “no” if they want to be silly.

You already know that everyone you ask is in 6th grade so there is no point in asking because anyone who says no is lying.

on the map, 2 cm equals 1 km. what is the actual length of a street that is 10 cm long on the map?

Answers

Answer: 5km

Step-by-step explanation: 2cm=1 km

10cm divided by 2 is 5km

PLEASE HELP! TIMED!
Find the perimeter of a triangle with the measurements of 5cm, 9cm, and 11cm.​

Answers

Just add them all and youu I lol get your answer

What is Limit of j (x) as x approaches 3?

Answers

Answer:

lim x - 3 + f ( x ) - As 3 approaches 3 from the right, the value of f ( x ) approaches 0. lim x - 3 f ( x ) - Since the value of f ( x ) as x approaches 3 from the left does not equal the value as x approaches 3 from the right, this limit does not exist.

In a certain board game, a player who lands on the Double Spin
space earns two spins of the pointer shown. This player is
awarded a free turn if the pointer lands in the red section both
times. What is the probability that a player who lands on the
Double Spin space will win a free turn?
I
Red
Green
Blue
Make a table to describe the possible outcomes.
a
.
Red (R)
Green (G)
R, G
.
RR
Blue (B)
R, B
GB
BB
Red (R)
Green (G)
Blue (B)
There are 9 possible outcomes.
Each outcome is equally likely.
The one favorable outcome is
circled.
.
GR
G, G
B, G
BR
The probability that a player will win a free turn is P(R, R) = 5.
9.

Answers

Red r to g ratio Outcome G G and 5

Dee Wallace's salary was $61,000 in 2006 and increased to $64,300 in 2009.
What was the annual rate of change in his salary?

Answers

Answer:

$1,100

Step-by-step Explanation:

Dee Wallace's salary in 2006 = $61,000 Dee Wallace's salary in 2009 = $64,300

The salary increased in => 2009 - 2006 = 3yrs

The amount of salary increased = 64,300-61000 = $3,300

The annual change of salary = 3,300/3 = $1,100

Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

pˆ = 43 / 200 = 0.215

A.)

The confidence interval obtained :

0.215 ± 0.057 = (0.158 ; 0.272)

Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.

B.)

H0:p=16 versus Ha:p>16

Decision :

Reject H0 ; if Pvalue < α

Pvalue = 0.033 ; α = 0.05

0.033 < 0.05 ; we reject H0

HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).

C.)

L=pˆ+z∗√pˆ(1−pˆ)n

Z critical for a one sided 95% confidence interval is 1.64

pˆ = 0.215

L = 0.215 + 1.64 * √(0.215*0.785) / 200

L = 0.215 + (1.64 * 0.1299134)

L = 0.215 + 0.213057976

L = 0.428

(-∞, 0.428)

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