Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

Answer:

B. 62 1/2

Step-by-step explanation:

Answer:

sorry cant help with that

Step-by-step explanation:

Step-by-step explanation:

if you 12kg cost 20 what about 5kg that will be 5kg×20÷12kg= 8.33 when you round of to the nearest hundredth this is the price of 5kg

sorry but i dont think i know how to answer the other question i have done what i only know thankyou

Answer:

Option A

Step-by-step explanation:

The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,

[tex]\bf Median = \dfrac{a +b}{2}[/tex]

Here, a and b are the base (parallel sides)

a = 13 inches & b = 19 inches

[tex]\bf Median = \dfrac{13+19}{2}[/tex]

              [tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]

Answer:

A

Step-by-step explanation:

If the mean of a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6. what is the best approximation of the percent of the scores

that fall between 54.3 and 63.5?

The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

It is a branch of mathematics that deals with the occurrence of a random event.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin.

The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

tails T-1 T-3 T-4 T-5

Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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#SPJ5

Answer:

hope this works for you

Step-by-step explanation:

4 ( b + 5 )- 2b = 100

____________________

B  =  40

Answer:

[tex]\tt b=40[/tex]

Step-by-step explanation:

[tex]\tt 4 ( b + 5 )- 2b = 100[/tex]

[tex]\bf Expand\; (Apply\; Distributions\; Law) :-[/tex]

[tex]\tt 2b+20=100[/tex]

[tex]\tt 2b+20-20=100-20\;\; (Subtract \;20\; from\; both \;sides)[/tex]

[tex]\tt 2b=80[/tex]  [tex]\tt (Simplify)[/tex]

[tex]\tt \cfrac{2b}{2}=\cfrac{80}{2}\;\;( Divide\; both \;sides\: by\; 2)[/tex]

[tex]\tt b=40[/tex]

~

Answer:

Tails Tails Heads

Heads Tails Heads

Tails Heads Tails

Heads Heads Tails

Tails Tails Tails

Heads Heads Heads

Tails Tails heads

Heads Tails Tails

------------------------------------------------——------------------------------------------------------

Thanks!

Always keep more than 2 smiles so that you can share it to someone who doesn't have one. You happy! Me happy! EVERYONE HAPPY!!!!

Have a great day!

:D

Step-by-step explanation:

2X - 20 =86 ( Alternate angles are equal)

2X = 86 - 20

2X = 66

X = 33

Step-by-step explanation:

x and y trade places.

f(x) = y = 4x - 9

y + 9 = 4x

x = (y + 9)/4

and to make it a true function notation, we need to rename x to y and vice versa and get

y = (x + 9)/4

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

Answer:

The answer is 9.

Step-by-step explanation:

1/2 * 12 = 6

6+3=9

Answer:

9

Step-by-step explanation:

x = 12

1/2 · 12 = 6

6 + 3 = 9

Answer:

C - 75%

Step-by-step explanation:

6/8 = 75%

Answer: 59 cars per month

Step-by-step explanation:

Answer:

-414.4 F° and 226.4 F°

hope it helps

Answer:

2.5

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation: do it yourself jk lol first you add then divide by 6.5

Answer:

42 in²

Step-by-step explanation:

Total: Shape 1 + Shape 2

Area of a square: l x w, where l is the length and w is the width.

= 6 x 5

= 30

Area of a triangle: 1/2 x b x h, where b is the base and h is the height.

= 1/2 x 4 x 6

= 1/2 x 24

= 12

Total = 30 + 12

= 42 in²

Answer:

Step-by-step explanation:

This figure is trapezium

a and b are the parallel lines.

a = 5 +4 = 9 in  & b = 5 in   and h = 6 in

[tex]\boxed{\text{Area of trapezium =$\dfrac{(a+b)*h}{2}$}}[/tex]

                              [tex]\sf = \dfrac{(9+5)*6}{2}\\\\=\dfrac{14*6}{2}\\\\= 7*6\\\\= 42 \ in^{2}[/tex]

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Simplify the expression and you will get this.

hope this helps

Answer: 18:4

Step-by-step explanation:

Ez

Answer:

9 : 2

Step-by-step explanation:

length : Width = 18 : 4

                       [tex]\sf = \dfrac{18 \ \div \ 2}{4 \ \div \ 2}\\\\=\dfrac{9}{2}[/tex]

                       = 9 : 2

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

[tex]\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx[/tex]

Let [tex]f(x) = \sqrt{1 + x^3}[/tex]. Compute the inverse:

[tex]f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}[/tex]

and we immediately notice that [tex]f^{-1}(x+1)=\sqrt[3]{x^2+2x}[/tex].

So, we can write the given integral as

[tex]\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx[/tex]

Splitting up terms and replacing [tex]x \to x-1[/tex] in the first integral, we get

[tex]\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}[/tex]

Mikhail is 9

Step-by-step explanation:

Divide 27 by 3 because G is 2 times than Mik. So G=2 Mik=1. and 27 divided 3 is 9

The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

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In Statistics and mathematics, the degrees of freedom in a sample are used to correct: A. possible bias between the alternative and null hypotheses.

A null hypothesis ([tex]H_0[/tex]) can be defined as the opposite of an alternate hypothesis ([tex]H_a[/tex]), and it asserts that two (2) possibilities are the same.

In In Statistics and mathematics, the test statistics of a given sample is calculated with this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

Also, the degrees of freedom in a sample are used to correct a possible bias that exists between the alternative and null hypotheses.

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Answer:

4

Step-by-step explanation:

All these numbers multiply by 4

Answer:

The answer is B.

Step-by-step explanation:

4÷4=1

8÷4=2

16÷4=4

24÷4=6

Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the population, the mean and the standard deviation are, respectively, given by [tex]\mu = 20, \sigma = 7[/tex].

For samples of n = 10, the standard error is given by:

[tex]s = \frac{7}{\sqrt{10}} = 2.2136[/tex]

The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18 - 20}{2.2136}[/tex]

Z = -0.9.

Z = -0.9 has a p-value of 0.18406.

0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

Step-by-step explanation:

The desired equation will relate labor cost, parts cost, and total cost.

The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.

  total cost = part cost + (labor rate)(labor hours)

  1368 = 380 + 52x

__

This equation can be solved in 2 steps:

  988 = 52x . . . . . . . step 1, subtract 380 from both sides

  19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x

The number of labor hours was 19.

[tex] \cos(60) = \frac{12}{x} \\ [/tex]

[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]

[tex]x = 24[/tex]

_____________________________________________

[tex] \sin(60) = \frac{y}{x} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]

[tex]y = 12 \sqrt{3} [/tex]

Answer:

5sqroot3

Step-by-step explanation:

see image.

An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.

To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image