What is the measure of angle x?
Enter your answer in the box
102
mZx
315

cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

The solution is, the simplified value of the expression is, 1.

To simplify the expression, we need the trigonometric identities given:

we know that,

1. cot=1/tan

2. tan=sin/cos

3. sec=1/cos

so, we have,

cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ

                             = (1/(sinθ/cosθ))(1/cosθ)sinθ

                             = (cosθ / sinθ) (1/cosθ)sinθ

                             = 1

The expression is equal to 1.

To learn more about trigonometric relations click :

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Answer:

X equals -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.Inequality Form

Step-by-step explanation:

8x + 13y = 75 (×10)

10x + 9y = 72 (×8)

80x + 130y = 750

-) 80x + 72y = 576

58y = 174

y = 3

10x + 9(3) = 72

10x + 27 = 72

10x = 72 - 27

10x = 45

x = 4.5

adult = $4.50

student = $3

Answer:

Nadia is incorrect, please check explanations for the correction to her work

Step-by-step explanation:

Here, we want to validate the wok of Nadia

Let the number be n

5 times the number is 5 * n = 5n

Difference between 5n and 3 less than twice the number

3 less than twice the number is 2n-3

So it should be 2n-3 ;

The solution is thus;

5n - (2n-3) = 18

5n - 2n + 3 = 18

3n + 3 = 18

3n = 18-3

3n = 15

n = 15/3

n = 5

Answer:

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.

Step-by-step explanation:

Answer:

a=7 i think

Step-by-step explanation:

Answer:

49 red marbles

Step-by-step explanation:

There is a bag with only red marbles and blue marbles.

We are told in the question that:

The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag

Hence: since

P(Blue marbles) = 2/9

Hence,

The number of blue marbles = 63 ÷ 9

= 7

Hence:

2 × 7/9 × 7 = 14/63

Hence, the number of blue marbles = 14 blue marbles

The number of red marbles bus calculated as:

63 - 14 blue marbles

= 49 red marbles

Answer:

- 6 m/s

Step-by-step explanation:

The rate of change is a measure of the slope and can be calculated using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line

m = [tex]\frac{30-78}{10-2}[/tex] = [tex]\frac{-48}{8}[/tex] = - 6

Rate of change is - 6 m/s

There’s nothing you can do about x = 1.2 = 3, because it has two equal signs. You can’t solve an equation that has two equal signs :(

Step-by-step explanation:

7x^2+7x-x-1

7x(X+1) -1(X+1)

(7x-1) (x-1)

X=1/7 , 1

Step-by-step explanation:

5x=41.5

5x/5=41.5/5

x=41.5/5

x=8.3cm

1. g - 7 = 15

g = 15 + 7

g = 22

2. t + 4 = 6

t = 6 - 4

t = 2

3. 13 = m - 7

m - 7 = 13

m = 13 + 7

m = 20

4. x + 3.4 = 9.1

x = 9.1 - 3.4

x = 5.7

[tex]5. \: \: n \: - \: \frac{3}{8} \: = \: \frac{1}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \: \frac{1}{8} \: + \: \frac{3}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \frac{4}{8} = \frac{2}{4} = \frac{1}{2} [/tex]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

We assume the hash marks are intended to indicate both triangles are isosceles. Then the right-end angle of the upper triangle is ...

  180° -2(75°) = 30°

Its complement is the supplement of the "missing variable" angle.

  90° -30° = 180° -(18x -6)°

  18x = 126 . . . . . rearranging (add 18x -60)

  x = 7 . . . . . . . . . divide by 18

Answer:

They are both right

Step-by-step explanation:

Adding 3 and multiplying 3 to the term number is the same thing

Answer:

5 inches

Step-by-step explanation:

Answer:

7n+14

Step-by-step explanation:

There are two sides that both measure 2n+7, we need 2 of those

2n+7+2n+7=4n+14

We still have the third side left, 3n.

4n+14+3n

combine like terms

7n+14

Answer:

Aqua: 26.8cm

Purple: 36cm

Step-by-step explanation:

Answer:

I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.

Step-by-step explanation:

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

Answer:

Hypothesis: If I am at least 16 years and 6 months old

Conclusion: Then I am able to get a provisional license

I hope this helps!

Answer:

5

Step-by-step explanation:

****************DISCLAIMER****************

might not be right, im pretty sure tho

Answer:

the annual interest return rate is .025 i believe.

Step-by-step explanation:

after 6 months the money increased by 5.75 bucks.

the 6 month return rate was .0175, so double that to get the annual rate.

Answer:

Xbox ONE

Step-by-step explanation:

(and Series X)

Answer:

x<6

Step-by-step explanation:

You divide by 6 then change the inequality sign.

Answer:

70,000 50,000

Step-by-step explanation:

just round it. not sure if it right

Answer:

c on edge 2020

Step-by-step explanation:

Answer:

x = 10 mm is the answer

pls mark me as the brainliest

Answer:

$0.29 cents

Step-by-step explanation:

6.88/24 = 0.28666666666 about 0.29

Answer:

$5.70 of so 13.30

Step-by-step explanation:

$5.70 of from the $19 so it would be 13.30

Answer:

The shirt would cost $13.30

Step-by-step explanation:

Divide

[tex]19/100 = .19[/tex]

Take off 30%

[tex]100-30=70[/tex]

Multiply

[tex].19*70= 13.3[/tex]