Find the missing length of the triangle
​

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

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Answer:

10x + 35

Step-by-step explanation:

Given

5(2x + 7) ← multiply each term in the parenthesis by 5

= 5(2x) + 5(7)

= 10x + 35

Answer:

10x+35

Step-by-step explanation:

5×2x=10x

5×7=35

=10x+35

Answer:

314 c m 2

Step-by-step explanation:i think i dont know (sorry)

Answer:

The India Gate (formerly known as the All India War Memorial) is a war memoria)

Step-by-step explanation:

it's a place

Answer:

answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

This is a function because each element in the domain has one and only distinct image in the co-domain.

Answer:

38cm

Step-by-step explanation:

38 is the answer . hope it helps.

Answer:

c. 38 cm

Step-by-step explanation:

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato

Answer:

Step-by-step explanation:

First rule:-  Each value of y after the first one is obtained by multiplying the previous  value by 1.5, ( Note  11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).

The relationship is : a(n) =  5 * 1.5^(n-1)

Second Rule:-  Note:-  12 - (-6) = 18 and 30 - 12 = 18.  So we add 18 to get the next term in this rule.

Relationship is : a(n) = -6 + 18(n - 1).

Answer:

True

Step-by-step explanation:

Angle-Angle-Side congruency

Answer:

A. True

Step-by-step explanation:

Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

Answer:

17 1/3 52/3

Step-by-step explanation:

3x+y=38

3x+2y=52

-y=14

y=-14

3x+-14=38

3x-14=38

3x=38+14

3x=52

3x/3=52/3

x=171\3

17 is a whole number then 1 divided by 3 . thus is x

Answer:

87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times

Step-by-step explanation: hope this helps

Answer:

87 times

50% of the time

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6 numbers

1, 3, 5 are odd

3/6 in one roll

3/6 × 174 = 87

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

graph 1 - clue 3

graph 2- clue 2

graph 3- clue 4

graph 4 - clue 1

Answer:

Graph 1 - Clue 3 / Kareem

the points fits neatly in between the rest of the plot

Graph 2 - Clue 2 / Paloma

same reasoning as above, located in the middleof the other points. but note that y and x are in switched order

Graph 3 - Clue 4 / Jonah

(25,10) fits just nice right in the middle of the other points. note that written as an ordered pair, or point, x has to be on the left side inside the parentheses

Graph 4 - Clue 1 / Genevieve

just fitting into the pattern on the lower right end of the plot

Answer:

[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]

Answer:

If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this

6 children 6 apples

10 children 10 apples

15 children 15 apples

Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations

Answer:

The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.

Step-by-step explanation:

Hope this helps and,

pls let me know if it was correct.

You need to convert 5 oz into grams.

1 oz = 28.3495 g

5 oz * 28.3495 g/oz = 141.75 g

Answer: 141.75 g

Answer:

All I know is she had 10.05 left

Answer:

A

Step-by-step explanation:

Marginal cost is the change in total cost as a result of increasing output by one unit

Marginal cost  = Δcost / Δquantity

0.2 / 0.25 = 0.8

The marginal cost would decrease because the change in output is higher than the change in total cost

Marginal benefit would increase

Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost

Answer:

The answer is C because its the only one that adds up correctly

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the given expression as:

(4 + 9) - (3 . 2) = 13 - 3.2 = 9.8

Now, we can check which of the given expressions is equivalent to 9.8:

A.

(3 . 2) - (2.4) + (2.9) = 3.7

(not equivalent)

B.

(2 + 4) (2 + 9) -3 . 2 = 84.8

(not equivalent)

C.

2.4 +9 - 3.2 = 8.2

(not equivalent)

D.

2.4 + (2.9) - (2.3) = 3.0

(not equivalent)

Therefore,

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

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The complete question.

Which of the expressions is equivalent to the one below?

Check all that apply.

(4 + 9) - (3 . 2)

A. (3 . 2) - (2.4) + (2.9)

B. (2 + 4) (2 + 9) -3 . 2

C. 2.4 + 9 - 3.2

D. 2.4 +  (2.9) - (2.3)

Answer:

The answer is 49 degrees

Step-by-step explanation:

The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.

Answer:

x = 49 °

Step-by-step explanation:

These both angles are located at the straight line. So, the sum of both angles are 180 ° .

x + 131 ° = 180 °

subtract 131 ° from 180 °

x = 180° - 131 °

x = 49 °

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

[tex] - 13 - \frac{2}{x - 2} [/tex]

Step-by-step explanation:

[tex] - 13 - \frac{2}{x - 2} [/tex]