5x-7=5x bud it no solution one solution infinitely many solutions

Answer:

[tex]sin(\theta)=\frac{40}{41} \\cos(\theta)=\frac{9}{41} \\tan(\theta)=\frac{40}{9}\\csc(\theta)=\frac{41}{40} \\sec(\theta)=\frac{41}{9} \\cot(\theta)=\frac{9}{40}[/tex]

Step-by-step explanation:

Notice we can use the Pythagorean theorem to find the measure of the unknown side via:

[tex]123^2=120^2+x^2\\x^2=729\\x=\sqrt{729} \\x=27[/tex]

and now, knowing all the sides, we can find all te trigonometric functions of the angle  [tex]\theta[/tex]:

[tex]sin(\theta)=\frac{opp}{hyp} = \frac{120}{123} =\frac{40}{41} \\cos(\theta)=\frac{adj}{hyp} = \frac{27}{123} =\frac{9}{41} \\tan(\theta)=\frac{opp}{adj} = \frac{120}{27} =\frac{40}{9}\\csc(\theta)=\frac{41}{40} \\sec(\theta)=\frac{41}{9} \\cot(\theta)=\frac{9}{40}[/tex]

Answer:

E. -1/2

Step-by-step explanation:

When two lines are said to be perpendicular to each other, the slope of one is the negative reciprocal of the other.

Therefore, given that [tex] \frac{x - 1}{4} [/tex] is the slope of [tex] \overline{QR} [/tex], and ⁸/3 is the slope of [tex] \overline{ST} [/tex], if both lines are perpendicular, it means that the slope of [tex] \overline{ST} [/tex] would be the negative reciprocal of the slope of [tex] \overline{QR} [/tex].

Therefore:

[tex] \frac{x - 1}{4} = -\frac{3}{8} [/tex]

Cross multiply

[tex] (x - 1)(8) = (-3)(4) [/tex]

[tex] 8x - 8 = -12 [/tex]

Add 8 to both sides

[tex] 8x = -12 + 8 [/tex]

[tex] 8x = -4 [/tex]

Divide both sides by 8

[tex] x = \frac{-4}{8} [/tex]

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

Answer:

4 cups

Step-by-step explanation:

No explanation

Your statement is a little ambiguous due to type mistake, so I am assuming you meant to say:

'if 12 fl. oz. bottles cost $84 how much does one bottle cost? Find the Unit Rate.

so I am solving based on '12 fl. oz.' bottles costing $84.

Answer:

unit rate = 7 $ per fl. oz.

Therefore, the 7 $ per fl. oz is the unit rate.

Step-by-step explanation:

We know that a unit rate is basically a fraction (also called ratio) between two different units with a denominator of 1.

For example, kilometers per hour, and heartbeats per minute, etc.

Here, I assume, by 'unit rate' means you mean to say 'cost per fl. oz.'

Given

The cost of 12 fl. oz. bottlers = cost $84

The cost of 1 bottle cost = $84 ÷ 12 oz = 7 $ per fl. oz.

Hence,

unit rate = 7 $ per fl. oz.

Therefore, the 7 $ per fl. oz is the unit rate.

Answer:750 grams

Step-by-step explanation:

25*30=250 grams after 30 days

Answer:

x = 1/2 or -2

Step-by-step explanation:

2x^2 +3x -2 = 0

(2x - 1) ( x + 2 ) = 0

(2x-1) = 0 ______ x = 1/2

or

(x +2 ) = 0 ______ x = -2

Answer:

7

Step-by-step explanation:

Answer:

x = 168.75°

Step-by-step explanation:

Angle Measurement Units

To convert from different units for angle measurements, we have to recall that:

180 degrees = π radians

If we are given the angle in degrees, multiply by π/180 to convert it to radians.

If the angle is given in radians, multiply by 180/π to convert to degrees.

We are given the angle:

[tex]\displaystyle x=\frac{15}{16}\pi[/tex]

Multiplying by 180/π:

[tex]\displaystyle x=\frac{15}{16}\pi\cdot \frac{180}{\pi}[/tex]

Simplifying:

[tex]\displaystyle x=\frac{15*180}{16}[/tex]

x = 168.75°

Answer:

C.  168.75 degrees

Step-by-step explanation:

Answer:

The current divorce rate is about 7% based on the survey.

Step-by-step explanation:

The divorces occur when two person fails to accept each other as a life partner. In the country the divorce rate is about 7% of which mostly couples are at the age of 20 - 25. The people of age 30 plus are less likely to get divorced as they have matured mind sets which accepts each other differences and tries to adjust the situation.

Divorce describes a form of marital separation which is usually undertaken by a court. It occurs when one or both partners decide to quit being married.

The causes of rising divorce rates among middle - aged may include :

Rising cases of infidelity as spouses continue to find it difficult to be committed in marrige. Sacrifices which helps foster lasting partnership can no longer be undertaken.

Also, the need to be independent as taken over at this time, as partners begin to see marriage as a bond age which prevents or curtails them from what they would love to indulge in.

Lastly, some now see divorce as norm due to the social influence it has transmitted across to various individuals. Now, so many choose to divorce at any minor challenge marriage brings.

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Answer:

y= 6[tex]x^{2}[/tex] - 36x + 58

Step-by-step explanation:

6 ( [tex]x^{2}[/tex] - 6x +9) + 4

6[tex]x^{2}[/tex] - 36x + 54 + 4

6[tex]x^{2}[/tex] - 36x + 58

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Answer:

No because 1/3 in decimal form is 0.333333 which is less than 0.4

Step-by-step explanation:

Answer:

2587

Step-by-step explanation:

so 199 workers per factory with 13 factories it is 199 times 13 which equals 2587

Answer:

y = x + 4

y = -2x - 4

Step-by-step explanation:

Since equation of the line having slope 'm' and y-intercept 'b' is given by,

y = mx + b

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of line passing through (1, 5) and (-1, 3),

m = [tex]\frac{5-3}{1+1}[/tex] = 1

y-intercept 'b' = 4

Therefore, equation of the line is,

y = 1.x + 4

y = x + 4

Now slope of another line passing through (-4, 4) and (-1, -2) will be,

m = [tex]\frac{4+2}{-4+1}[/tex]

m = -2

y-intercept 'b' of this line = -4

Equation of the other line,

y = (-2)x - 4

y = -2x - 4

Therefore, system of equations is,

y = x + 4

y = -2x - 4

The system of equations is given by: y = x + 4 and y = -2x - 4

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

The first line passes through point (-1, 3) and (1, 5) hence:

[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{5-3}{1-(-1)} (x-(-1))\\\\y=x+4[/tex]

The second line passes through point (-4, 4) and (-1, -2) hence:

[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{-2-4}{-1-(-4)} (x-(-4))\\\\y=-2x-4[/tex]

The system of equations is given by: y = x + 4 and y = -2x - 4

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Answer:

10,000 because the 6 is 5 or more which makes it round up a thousand.

Step-by-step explanation:

10,000. since 647 is greater than 500, round up. hope this helps, please mark brainliest and have a great day

Answer:

13.8h-2.3hk

Step-by-step explanation:

Answer:

1/4 should be the answer bc it goes up one and over 4. which goes back to the rise over run thing.

Answer:

slope is 1/4

Step-by-step explanation:

[tex]\frac{4-3}{6-2} =\frac{1}{4}[/tex]

Answer: C

Step-by-step explanation:

We know that a relation is any set of ordered pairs, but a function is when there is only one y value for x value.

So, basically, if a graph is a function, it is a relation as well.

Let’s check if this is a function.

We can use the vertical line test- if we draw a vertical line through any point on the graph and it only intersects one point, it is a function

In our case, it passes the vertical line test.

Therefore, it is both a function and a relation, which corresponds to letter C.

Hope this helps! :)

Answer: the answer is d

Step-by-step explanation:

Answer:

8 (x^2 + 4 x + 4) + 17 + - 32

Step-by-step explanation:

Answer:

$134 is the ans

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

A = rolling a six

B = rolling a number less than 4

Probability of A or B

P(A) or P(B) = P(A) + P(B) - P(AnB)

Probability = (number of required outcome / Total possible outcomes)

P(A) = 1 / 6

P(B) :

Required outcomes = (3, 2, 1) = 3

P(B) = 3/6 = 1/2

P(AnB) = A={6} ; B = {1,2,3} ; AnB = {}

P(AnB) = 0

Hence,

P(A) or P(B) = 1/6 + 1/2 - 0

= (1 + 3) / 6

= 4/ 6

= 2/3

Answer:

The last one of commutative property of addition since there is no swapping of numbers related with addition.  

Answer:

-18

Step-by-step explanation:

((-3)2)3

First, you multiply -3 and 2 which equals  -6

-3·2=-6

Then, you multiply -6 and 3 which equals  -18

-6·3=-18