How do i do this math equasion?

Answer:

option 2

Step-by-step explanation:

Using trigonometric ratio:

[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]

Now using Pythagoras theorem we will find v

[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]

By using trigonometric relations, we will see that v = 4*√3 and u = 8

Here we have a right triangle, we can use trigonometric relations to find the missing sides.

We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know, we get:

tan(60°) = v/4

4*tan(60°) = v = 4*√3

To get the value of u, we use:

cos(a) = (adjacent cathetus)/(hypotenuse).

cos(60°) = 4/u

u = 4/cos(60°) = 2*4 = 8

Then we have:

v = 4*√3

u = 8

If you want to learn more about triangles, you can read:

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Answer:

- 0.125

Step-by-step explanation:

Given the equation :

(0.020(5/4) + 3 ((1/5) – (1/4)))

0.020(5/4) = 0.025

3((1/5) - (1/4)) = 3(1/5 - 1/4) = 3(-0.05) = - 0.15

0.025 + - 0.15 = 0.025 - 0.15 = - 0.125

Answer:

76

Step-by-step explanation:

19 out of 50 are in 7th grade.

200/50 = 4

Multiply both numbers in the ratio by 4.

19 out of 50 = 76 out of 200

Answer: 76

t-3.2 ≤ 7.5

"at most" means less than or equal to

Answer:

There are many outcomes or data that needs to be collected... like does the iPhone and android share the same speaker? or are your speaker grills blocked out by something? or is your iPhone old, because they do change the speaker each gen.

Answer:

A = 6; B = -15

Step-by-step explanation:

To have an infinite number of solutions, both equations must be the same.

4x - Ay = 15

-4x + 6y = B

The only coefficient we see in both equations is the coefficient of the x term. We have -4x and 4x. Multiply both sides of the second equation by -1.

4x - Ay = 15

4x - 6y = -B

For the equation to be equal, we need each term of one equation to be equal to the corresponding term of the other equation.

4x and 4x are equal.

-Ay must equal -6y

-Ay = -6y

-A = -6

A = 6

15 must equal -B

-B = 15

B = -15

Answer: A = 6; B = -15

Answer:

76 sq. meters

Step-by-step explanation:

10 · 4 = 40m

2 · 6 = 12m

8 · 6 = 48/2 = 24m

40 + 12 + 24 = 76 sq. meters

The answer is B

the method use to solved this is called foil

Answer:

inscribed

Step-by-step explanation:

For any given triangle, the circle inside of it is called the Inscribed circle

Answer:

1

Step-by-step explanation:

The y intercept is when x =0

We need to use the second equation

-x+1  since -2 < 0 <3

0+1

The y intercept is 1

Answer:

B and C

Step-by-step explanation:

Using the Pythagorean theorem a²+b²=c², those are the correct answers

Answer:

A

Step-by-step explanation:

You divide distance over time so 200 divided by 8.

Answer:

Diego can choose the 15 items in 128 different ways.

Step-by-step explanation:

Since at the grocery store, Diego has narrowed down his selections to 4 vegetables, 8 fruits, 6 cheeses, and 4 whole grain breads, and he wants to use the Express Lane, so he can only buy 15 items, to determine how many ways can he choose which 15 items to buy if he wants all 6 cheeses the following calculation must be performed:

4 x 4 x 8 = X

16 x 8 = X

128 = X

Therefore, Diego can choose the 15 items in 128 different ways.

9514 1404 393

Answer:

  B) if the x-coordinate is negative, the cosine will equal a negative value

Step-by-step explanation:

The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.

  if the x-coordinate is negative, the cosine will be negative

Answer:

the answer is 3.5

Step-by-step explanation:

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

9514 1404 393

Answer:

  B.

Step-by-step explanation:

Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)

For t=0, C(0) = 50000(0.9^0) -2000 = 480000

For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500

The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.

Answer:

16 ounces.

Step-by-step explanation:

An 8% solution is 2 times stronger than a 4% solution.

So in the 8% solution we will have 1/2 of the volume as a 4% , so 1/2 * 32

= 16 ounces of water must be evaporated.

The number 16 ounces of water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

To find the amount of water that must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution:

0.96(32) - x = 0.92(32 - x)

30.72 - x = 29.44 - 0.92x

x - 0.92x = 30.72 - 29.44

0.08x = 1.28

x = 16

Therefore, 16 ounces must be evaporated.

To learn more about the linear equation;

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Answer:

Step-by-step explanation:

[tex]5u\leq 8u-21[/tex]

Subtract 8u from both sides

[tex]-3u\leq -21[/tex]

Divide by -3 on both sides

[tex]u\geq 7[/tex]

Interval notation: [greater/less than or equal to], (greater or equal to)

[7,∞)

The solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

In mathematics, an inequality is a remark that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,

To solve the inequality 5u ≤ 8u - 21, we can start by isolating u on one side of the inequality. We can do this by subtracting 5u from both sides:

5u ≤ 8u - 21

-3u ≤ -21

Divide both sides by -3. Note that dividing by a negative number will reverse the direction of the inequality:

u ≥ 7

Therefore, the solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

Learn more about inequality here:

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Answer:

angle M = 60

angle Q = 70

Step-by-step explanation:

M 180/3 = 60

Q 180-40 = 140/2 = 70

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The transformation from B to B' is ...

  B(-4, 1) ⇒ B'(-1, -4)

  (x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW

Answer:

90 degrees

Step-by-step explanation:

Answer:

(8x + 1)° + ( 4x+11)° = 180° (linear pair )

8x +1 + 4x +11 = 180

8x + 4x + 1 + 11 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x= 168/12

x = 14

Given:

The number [tex]\sqrt{63}[/tex] lies between two whole numbers.

To find:

The two consecutive whole numbers.

Solution:

The perfect squares of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ... .

The number 63 lies between 49 and 64.

[tex]49<63<64[/tex]

Taking square root on each side, we get

[tex]\sqrt{49}<\sqrt{63}<\sqrt{64}[/tex]

[tex]7<\sqrt{63}<8[/tex]

Therefore, the number [tex]\sqrt{63}[/tex] lies between two whole numbers 7 and 8.

Answer:$6.25

Step-by-step explanation:we have that

x------------------> represent the number of hours Steven babysits

y----------------- > represent the amount he charges

for x=6 hours

y=$37.50 ----------------> y/x=37.5/6=6.25

for x=8 hours

y=$50---------------------> y/x=50/8=6.25

therefore

y=6.25x

Answer:

0.7888 = 78.88% probability that the first machine produces an acceptable cork.

0.9772 = 97.72% probability that the second machine produces an acceptable cork.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

First machine:

Mean 3 cm and standard deviation 0.08 cm, which means that [tex]\mu = 3, \sigma = 0.08[/tex]

What is the probability that the first machine produces an acceptable cork?

This is the p-value of Z when X = 3.1 subtracted by the p-value of Z when X = 2.9. So

X = 3.1

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

[tex]Z = \frac{3.1 - 3}{0.08}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a p-value of 0.8944

X = 2.9

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

[tex]Z = \frac{2.9 - 3}{0.08}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a p-value of 0.1056

0.8944 - 0.1056 = 0.7888

0.7888 = 78.88% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork?

For the second machine, [tex]\mu = 3.04, \sigma = 0.03[/tex]. Now to find the probability, same procedure.

X = 3.1

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

[tex]Z = \frac{3.1 - 3.04}{0.03}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

X = 2.9

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

[tex]Z = \frac{2.9 - 3.04}{0.03}[/tex]

[tex]Z = -4.67[/tex]

[tex]Z = -4.67[/tex] has a p-value of 0

0.9772 - 0 = 0.9772

0.9772 = 97.72% probability that the second machine produces an acceptable cork.

Answer:

I think this is right hope you understand

Answer:

2 hours

Step-by-step explanation:

10/50 * 10 = 2

Answer:

(-1.5, 0.5)

Step-by-step explanation:

x = -1.5

y = 0.5

(-1.5, 0.5)