find the value of x in the triangle shown below.

Answer:

Option C, sin(Ф) = 7/25

Hope this helps!

Answer:

-1 and -5

Step-by-step explanation:

-1x-5= 5

-1+-5= -6

Answer:

Total number of ways of arranging the total six positions = 18

Step-by-step explanation:

The total members in the team are six.

Six members means six positions. Out of these six positions, two positions are fixed and hence only 4 positions are available for arrangement.

Thus, the total number of ways of arranging the remaining four position are

4 * 4 = 16

Total number of ways of arranging the total six positions are

16 + 2 = 18

Answer: -7

Step-by-step explanation:

-30 = 5(x + 1)

-30 = 5x + 5.  ( After distrbuting the 5)

-5.            -5

-30 - 5. = 5x

-35 = 5x

x = -7

Answer:

Life is fleeting and always changing.

Step-by-step explanation:

The author mentions how we feel joy and sadness and so many other emotions. Our emotions are everchanging and it will continue to change from day to day.

Answer: Draw a dot, then draw a line from that dot, then at the end of the line draw a arrow. Label the dot L, and put another dot in the center of the line and label it M.

Answer:

9

Step-by-step explanation:

You use the stem as the first number and leaves as second so ppl who live less than 40 miles live one of them lives 21 miles away another lives 22,23,27,28,29,30,31,34 and the others live more than that starting by ppl who live 47 miles away so if you count 21,22,23,27,28,29,30,31,34 you'll come up with 9 of them who live less then 40 miles away from work

hopefully you got it

Answer:

n+3

Step-by-step explanation:

Since N is not given it is written as an expression.

The numerical form of the statement a number that is 3 greater than 'n'

is n + 3.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, We have to write an expression which is a number that is 3 greater than n.

Therefore, The numerical form of the given statement is n + 3.

learn more about numerical expressions here :

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Answer:

Additive

Step-by-step explanation:

Answer:

b they are both solution

Answer:

Region D

Step-by-step explanation:

Let's start with the easy one, x is greater than or equal to 3. We can find that line on the graph pretty easily (x = 3). Since x has to be greater than 3, we can narrow our choices down to either B or D.

Now the next inequality. How about we put it in slope intercept form so we can understand it better? Simplifying, we get

y is less than or equal to 1/3x - 1

We know this line is the other line on the graph, and since y has to be less than that line, we know that that inequality narrows it down to either C or D.

Since D appears in both inequalities, we now know the answer is D.

The measure of angle ADC in quadrilateral ABCD is; 115°

From the given quadrilateral ABCD, we see that ∠A = 115°

Now, we see that AB is congruent to CD and also AD is congruent to BC.

Since, we have such congruency it means that ∠A = ∠D.

Thus, ∠ADC = 115°

In conclusion, we can say that ∠ADC is 115°

Read more about angle in a quadrilateral at; https://brainly.com/question/17972372

Answer:

1. Dot Plot

2, The histogram

Answer:

7065 cm^3

Step-by-step explanation:

tell me if you got it wrong

Answer:

θ ≈ 17.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan θ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{13}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{4}{13}[/tex] ) ≈ 17.1° ( to the nearest tenth )

Answer:

c

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

For rectangular prisms you do L, W, H.

4 = Length

x

2 = Width

x

2 = Height

=

Volume = 2 x 2 x 4 = 16

~ LadyBrain

Answer:

Answer:

y = 1, I hope this helps, because I could barely find the answer myself

Step-by-step explanation:

N/A

Answer:

the answer is B

Step-by-step explanation:

hope this helps!! have an amazing day <3

9514 1404 393

Answer:

  (x ≤ -3) ∪ (11 ≤ x)

Step-by-step explanation:

The given equation resolves to two equations:

  x -4 ≥ 7   ⇒   x ≥ 11

  x -4 ≤ -7   ⇒   x ≤ -3

The solution is (x ≤ -3) ∪ (11 ≤ x).

Answer:

D, they eat so consumers.

Step-by-step explanation:

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The number of years it will take to double the investment is 15 years.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Principal = $9000

Rate = 5%

The formula is given as:

A = p [tex](1 + \frac{R}{100} )^{n}[/tex]

n = number of years

Double the investment:

Amount = 2 x 9000 = 18000

Now,

18000 = 9000 [tex](1 + \frac{R}{100} )^{n}[/tex]

2 = [tex](1 + 0.05)^{n}[/tex]

2 = [tex]1.05^{n}[/tex]

Taking log on both sides.

[ log a² = 2 log a ]

log 2 = n log 1.05

0.30 = n 0.02

n = 0.30 / 0.02

n = 15

Thus,

The number of years it will take to double the investment is 15 years.

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Answer:

[tex]M = 4.67[/tex]

Step-by-step explanation:

Given

[tex]Data: 3, 7, 8, 12, 16, 18[/tex]

Required

The mean absolute deviation

Start by calculating the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{3+ 7+ 8+ 12+ 16+ 18}{6}[/tex]

[tex]\bar x = \frac{64}{6}[/tex]

[tex]\bar x = 10.67[/tex]

The mean absolute deviation is then calculated using:

[tex]M = \frac{1}{n}\sum\limits^n_{i=1}|x _i - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{6}(|3 - 10.67| +|7 - 10.67| + |8 - 10.67| + |12 - 10.67| + |16 - 10.67| + |18 - 10.67|)[/tex]

[tex]M = \frac{1}{6}(|-7.67| +|- 3.67| + |-2.67| + |1.33| + |5.33| + |7.33|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{6}(7.67 +3.67 + 2.67 + 1.33 + 5.33 + 7.33)[/tex]

[tex]M = \frac{1}{6}*28[/tex]

[tex]M = 4.67[/tex]

Answer:

Range → {7, 9, 0}

Step-by-step explanation:

Range of a function is a set of y-values or output values of the function.

Similarly, Domain of a function is the set of x-values or input values of the function.

Given points in the graph are (0, 7), (3, 9) and (9.4, 0)

Therefore, set of y-values {7, 9, 0) will be the Range.

Range of the function → {7, 9, 0}

hey dear the answer is 0.185

Answer:

10 2/3 cars

Step-by-step explanation:

We can use a ratio

4 cars            x cars

------------- = -----------

3 hours          8 hours

Using cross products

4 *8 = 3 *x

32 = 3x

Divide each side by 3

32/3 = 3x/3

10 2/3 cars

Answer:

{-2, 0, 4}

Step-by-step explanation:

Domain is defined as all the inputs possible to a function.

On a graph, you may know this as the value of x.

This means the domain is equal to all values of x that produce an output.

The only values of x that have a point on them is x = 4, x = 0, and x = -2, all of which have points on the x-value.