What is the value of x?

Answer:

[tex]\displaystyle 3,8 ≈ AC[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{4}{AC} = csc\:70 \hookrightarrow ACcsc\:70 = 4 \hookrightarrow \frac{4}{csc\:70} = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]

OR

[tex]\displaystyle \frac{AC}{4} = sin\:70 \hookrightarrow 4sin\:70 = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer:

k = 25

Step-by-step explanation:

Given the following data;

Volume = 325 in³

Length = 13 inches

To find the constant of proportionality, k;

Mathematically, direct proportion is given by the expression;

V = kL

k = V/L

Substituting into the formula, we have;

k = 325/13

k = 25

Answer:

f'(1x) = 2x

or

f'(0) = 4

Step-by-step explanation:

Hope this helps if not im sorry

Answer:12/77

Step-by-step explanation:

The probability that a seventh grader chosen at random will play an instrument other than the Guitar is 0.76.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

The total event for seventh grade is given as,

Total = 9 + 9 + 11 + 9

Total = 38

The probability that a seventh grader chosen at random will play an instrument other than the Guitar is calculated as,

P = 9/38 + 11/38 + 9/38

P = 29/38

P = 0.76

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

The complete question is given below:

Answer:

[tex]2 \frac{2}{7}[/tex] pounds, D

Step-by-step explanation:

1 pound of apples = 1.75 dollars.

Set the number of pounds of apples as x.

Then, we can write this equation.

1.75x = 4

[tex]\frac{7}{4}[/tex]x = 4

Divide both sides by [tex]\frac{7}{4}[/tex]

x = [tex]\frac{4}{1}[/tex] * [tex]\frac{4}{7}[/tex]

x = [tex]\frac{16}{7}[/tex]

x = [tex]2 \frac{2}{7}[/tex]

Thus, the answer is D, x = [tex]2 \frac{2}{7}[/tex] pounds

Answer:

$63.75

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:

D, they eat so consumers.

Step-by-step explanation:

Answer:

10/3 or 3 1/3

Step-by-step explanation:

4/3 ÷ 2/5 is the same as 4/3 × 5/2, which equals 20/6 or 10/3 simplified

Answer:

8/15

Step-by-step explanation:

you essentially multiply both numerators and denominators 4×2=8 3×5=15 for the final answer of 8/15 complex fractions are mainly multiplication

Answer:

1. Dot Plot

2, The histogram

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:

Step-by-step explanation:

another way to express 52+24 is 4(13+6)

Answer:

4(13+6)

Step-by-step explanation:

52+24=76 and 4(13+6)=76.

U add 13+6 first then multiply 4 times 19 and there's ur answer :)

Answer: 3/6 and 5/6

Step-by-step explanation:

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}

Answer:

y = -3x/4 + 25/4

Step-by-step explanation:

3x + 4y = 2

-3x          -3x

4y= -3x + 2

4y/4 = -3x/4 + 2/4

y = -3x/4 + 1/2    mx= -3x/4

y = -3x/4 + ?

-3x/4 = Right 4, Down 3 on a graph

( 3, 4)

-4  +3

Also goes thru the point (-1, 7)

                                          +1 -3/4

(0, 25/4 or 6.25)

y = -3x/4 + 25/4

Haven't done this in a while hope this helps :)

Answer:Scientists at the Mauna Loa observatory in Hawaii say that CO2 levels in the atmosphere now stand at 387 parts per million (ppm), up almost 40% since the industrial revolution and the highest for at least the last 650,000 years.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 50m, 90m

Height of the trapezium = 32m

Therefore,

Area of the trapezium

[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \: \times \: height[/tex]

[tex] = \frac{1}{2} \times (50 + 90)m \times 32m[/tex]

= (50 + 90) m × 16m

= 140m × 16m

[tex] = 2240 {m}^{2} (ans)[/tex]

Answer:

A = 2240 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex]  h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 32 , b₁ = 90 and b₂ = 50 , then

A = [tex]\frac{1}{2}[/tex] × 32 × (90 + 50) = 16 × 140 = 2240 m²

Answer:

the answer is B

Step-by-step explanation:

hope this helps!! have an amazing day <3

hey dear the answer is 0.185

Answer:the answer Is the second option

Step-by-step explanation:

It is reflected across the it is rotated

Answer:

try the middle one and if it doesn't work say you pressed the wrong one when your teacher asks

Answer:

what are the answer choices?

Step-by-step explanation:

Answer:

x = (-1, 3)

Step-by-step explanation:

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:

125 gallons

Step-by-step explanation:

Answer:

125 gallons

Step-by-step explanation:

600-100=500

500/4=125

125 gallons go in each of the bigger aqauriums

Step-by-step explanation:

-2x-5=5x + 6

-2x - 5x = 6 + 5

-7x = 11

x = -11/7

x = 1.571

y = 5(1.571) + 6

y = 7.855 + 6

y = 13.855

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]