Can someone help me with this question?

Answer:

Step-by-step explanation:

Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.

Therefore, sec(-θ) = sec(θ) and we have then

sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:

[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:

[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:

[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:

[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to

tanθ · sinθ, the last choice there.

Answer:

Step-by-step explanation:

Let n = abc is the 3-digit number

b = 0 - 9, total 10 options

Total good 3-digit numbers:

Answer:

Any two consecutive angles are complementary.

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Opposite sides of a parallelogram are parallel, Opposite sides are congruent. Opposite angles are congruent.

OAmalOHopeO

Answer:

a. he earn 14578.00 in that month.

Answer:

B.

Step-by-step explanation:

Answer:

x = 5; y = 5

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.

x and y are opposite two 45-degree angles, so x = y.

In a 45-45-90 triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

We have

x : y : 5sqrt(2)

x/1 = 5sqrt(2)/sqrt(2)

x = 5

y = 5

Answer:

C

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

5x + 19 + 8x = 180

23x + 19 = 180 ( subtract 19 from both sides )

23x = 161 ( divide both sides by 23 )

x = 7

Then

∠ OML = 15x + 19 = 15(7) + 19 = 105 + 19 = 124° → C

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\[/tex]

                    [tex]=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}[/tex]

Answer:

14x-42

Step-by-step explanation:

7(2x-7+1 )

7(2x-6)

14x-42

Answer:

g(x) = 4 - x^2

at x-intercept, y=0

0=4-x^2

x^2=4

x = ± 2

=> two x- intercepts, (-2,0) and (2,0)

at y-intercept, x = 0

g(x) = y = 4 - 0 = 4

y-intercept = (0,4)

The x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

g(x) = 4 - x²

At x-intercept, y = 0

0=4-x²

x² = 4

x = ± 2

Two x- intercepts, (-2,0) and (2,0)

at y-intercept, x = 0

g(x) = y = 4 - 0 = 4

y-intercept = (0,4)

Therefore, the x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).

To know more about an intercept follow

https://brainly.com/question/1884491

#SPJ2

Answer:

use the formula a^3+b^3= (a+b)-3ab(a+b)

in above question assume (a+b) as a and 1 as b

later in (a+b+1) take (a+b) as a and 1 as b

and use the formula (a+b)^2 = a^2+2ab+b^2

Answer:

The answer simplified would be:

-4y^2+3y+5

If you combine the like terms, you will get this answer.

You have to add 8y^2 to -12y^2 and you get -4y^2.

Hope this helps you! :)

Answer:

28

Step-by-step explanation:

Subtracting a negative is like adding

25 - -3

25+3

28

Answer:

28

Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.

25-(-3)

= 25+3   (since negative and negative makes positive)

=28

PS  Again, not sure about this question.

Answer:

X is 11.8

Step-by-step explanation:

You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

Answer:

5/3 x 5/3 x 5/3

125/27

5^3/3^3

3 x (5/3)

Step-by-step explanation:

(5/3)^3 = 5×5×5/3×3×3 = 125/27.

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701

Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

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

Work Shown:

The notation f(4) means we want to find f(x) when x = 4.

If x = 4, then we go for the middle definition since 4 makes [tex]3 \le x \le 10[/tex] to be true (ie, 4 is between 3 and 10)

Therefore,

f(x) = x^2 - 7 when [tex]3 \le x \le 10[/tex]

f(4) = 4^2 - 7

f(4) = 16 - 7

f(4) = 9

Answer:

f(4) = 9

Step-by-step explanation:

4 is between 3 and 10 so we use the middle function

f(4) = x^2 -7

     = 4^2 -7

     = 16 -7

    = 9

Answer:

y = 10

Step-by-step explanation:

6y−3=57

6y = 60

y = 10

Answer:

I think thats the answer. Check it. (:

Step-by-step explanation:

-2.2x3.4= -74.8

42/-6= -7/10

-3 3/5-( 3 1/10)= -21/10

-2 3/4+(3 1/6)= -2

!I might be wrong!

Someone check this!

Thank you!

17/2 to x/3

cross multiply

51 = 2x

x= 25.5 miles or 26

Answer:

Can you show the options?

Step-by-step explanation:

Angle 1 and 4 are equal and angle 4 and 6 add up to 180

Answer:

congruent, corresponding, supplementary, same side interior

Step-by-step explanation:

Answer:

The other sides are 6cm and 8cm

Step-by-step explanation:

Let the other 2 sides be x and y.

Using herons formula, we have an equation

24=sqrt(12*2*(12-x)*(12-y))

Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.

Answer:

4. 3, 4, and 5​

Step-by-step explanation:

1 ≤ 2x − 5

Add 5 to each side

1+5 ≤ 2x − 5+5

6 ≤ 2x

Divide by 2

6/2  ≤ 2x/2

3 ≤ x

x must be greater than or equal to 3

The relative frequency for football is the number of people who like football divided by total people:

4/28 = 0.14

Answer: 0.14

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

Answer:

Step-by-step explanation:

2) Cost Price = CP = $ 35

Tax = $ 3.29

Tax percent = [tex]\frac{tax}{CP}*100[/tex]

                    [tex]= \frac{3.29}{35}*100\\\\[/tex]

                    = 9.4 %

Total amount paid by Ian = CP + tax = 35 + 3.29

                                          = $ 38.29

3) Price of the order = $ 56.50

Shipping cost % = 3 % = 0.03

Shipping cost = price of the order * shipping cost %

                       =  56.5 * 0.03

                       =  1.695

                       = $ 1.70

Total cost = Price of the order + Shipping cost

                = 56.5 + 1.70

                = $ 58.20

4) Bill amount = $ 26

Tip % = 18%

Tip amount = Tip % * bill amount

                   [tex]= \frac{18}{100}*26\\[/tex]

                   = $ 4.68

5) commission% = 3.5 %

Commission amount = commission% * Sales

                                   [tex]= \frac{3.5}{100}*50000[/tex]

                                  = $ 1750

Base salary for a week  = $400

Base salary  for two weeks = 400 * 2 = $ 800

Emmett's earning for this two weeks period = Base salary for two weeks + commission

= 800 + 1750

= $ 2550

6) Tax % = 10.25 %

Purchase amount = $ 310.50

Tax = Tax% * Purchase amount

      [tex]= \frac{10.25}{100}*310.50[/tex]

      = $ 31.83

Total = Purchase amount  + Tax

         = 310.50+ 31.83

         = $ 342.33