Pleaseeee answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Because sine and cosine are complements, we will have that:

cos(60°) = 1/2.

First, because cosine and sine are complements, we know that:

cos(x) = sin(x + 90°).

cos(90° - x) = sin(x).

We will use the second relation, with x = 30° we can write:

cos(90° - 30°) = sin(30°)

cos(60°) = sin(30°)

And we know that sin(30°) = 1/2

Then we also have cos(60°) = 1/2.

So the correct option is d.

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Answer:

D-  cos 60° = 1/2, because the cosine and sine are complements

Step-by-step explanation:

Got it right on test:)

Answer:

Step-by-step explanation:

Given points

Point (0,0)

Point (-4,1)

Point (-1,2)

Point (0, 0)

Point (-4, 1)

Point (-1,2)

9514 1404 393

Answer:

  a.  all points are part of the solution set

  b.  no points are in the solution set

Step-by-step explanation:

Graphs of the two systems of inequalities are attached.

a) The red area on the graph is the solution. The two inequalities can be combined to one compound inequality:

  x -1 < y < -1/2x +2

The two boundary lines intersect at x-1 = -1/2x +2   ⇒   x = 2, so there are no points in the solution set with x-values of 2 or greater.

All of the given points are in the solution set.

__

b) The green area of the graph is the solution. Solving each inequality for y gives ...

  x -2y ≥ 4  ⇒  1/2x -2 ≥ y

  2x -y ≥ -1  ⇒  2x +1 ≥ y

The allowed values of y must be less than or equal to the minimum of these limits. The limits have the same value at 1/2x -2 = 2x +1   ⇒   x = -2, so the solution set is the area below and right of that intersection point of the two boundary lines.

None of the given points are in the solution set.

Answer:

below

Step-by-step explanation:

32N D.

Answer:

b=9

Step-by-step explanation:

divide by 3 on both sides to get the variable (b) by itself

Answer:

Step-by-step explanation:

1.15×$42.50 = $48.875 ≅ $48.88

Answer:

$48.88

Step-by-step explanation:

42.50 increase 15% =

42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875

Answer:

V = 785.7ft³

Step-by-step explanation:

V = π r² h

V = 22/7 (5) 10

V = 22/7 × 25 ×10

V = 22/7 × 250

V = 22 × 250 ÷ 7

V = 550 ÷ 7

V = 785.7ft³ answer

Answer: The volume of the cylinder is 785.7ft³

Answer:

Both the legs or sides are equal

GOOD LUCK FOR THE FUTURE! :)

Answer:

you would need to get 4 packages of hotdogs and 5 packages of buns

4*10=40

5*8=40

Step-by-step explanation:

Answer:

A and D should be correct

Step-by-step explanation:

Answer:

3 square root 2.

Step-by-step explanation:

I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96.  If i round this up, it is 36.

Answer:

The answer is 47

Step-by-step explanation:

I'm pretty sure this is the answer :)

40 - 28 = 12

35 + 12 = 47

Proof: 35 - 28 = 7

          47 - 40 = 7

Answer:

D

Step-by-step explanation:

D is correct.

Answer:

[tex]Total = 3E + 2N + S[/tex]

Step-by-step explanation:

Given

Represent

Efficiency with E; Noise Level with N

and Service and Installations with S

Required

Determine the correct formula

From the question

3 points goes to E: i.e. 3E

2 points goes to N: i.e. 2N

The above is the number of points more than service and installations.

So 1 point will be given to S i.e. S

The total or formula is:

[tex]Total = 3E + 2N + S[/tex]

Answer:

9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]

= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]

= 9[tex]\sqrt{5}[/tex]

Answer:

[tex]40x^6y^4\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

What?........

Step-by-step explanation:

Answer:

2 4/5 feet

Step-by-step explanation:

let 'x' = height of fire hydrant

7/20 = x/8

cross-multiply:

20x = 56

x = 56/20 or 14/5, which is 2 4/5

Answer: The slope is 2.

Step-by-step explanation:

To get the slope, use this tip: Rise over run

Count how much it rises, which is 4, and how much it "runs' which is 2. Now put rise above run which is 4/2. This simplifies to simply 2.

Answer:

The slope is 2.

Step-by-step explanation:

The points on the line are (1, -2) which can be labeled as x1 and y1, and the other is (3,2) which can be labeled as x2 and y2. you set up the equation in the slope formula, so 2 - - 2 / 3 - 1. Since there are two negatives, the subtraction signs turn into addition signs, and you get 4/2, which simplyfied is 2. Hope this helps :)

Answer:

First that's a  quiz. Lol

Step-by-step explanation:

It is the 2'nd answer.

Your Welcome.

Answer:

x = 11

Step-by-step explanation:

35 + 5x = 90    {Complementary angles}

Subtract 35 from both sides

   5x = 90 - 35

  5x = 55            {Divide both sides by 5}

    x = 55/5

    x = 11

Answer:

no idea so sorry

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

20% of 1200= 240

so total price is 1200+220=1440

he pays 300 beposit

1440-300=1140

now 1150 must be paid in 10 installments equally

11400÷10=114 is the answer

Answer:

5/9

Step-by-step explanation:

1/3 * 1 2/3

1/3 * 5/3

5/9

Answer:

lower=34.15 upper=34.25

Step-by-step explanation:

Answer:

1.50x+10=34

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

[tex]x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\[/tex]

Both sides take square

[tex]x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}[/tex]

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money    

           in dollars, B, Braxton has in his account after t years since opening

           the account.

           Pam also has money in a savings account. The equation

           P=[tex]800(1 + 0.04)^{t}[/tex]  can be used to calculate the  amount of money in

           dollars, P, Pam has in her account after t years since opening the

           account.

To find - Braxton's initial investment ..........Pam's initial investment.

             The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]

               Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]  

Now,

1.)

For initial investment , Put t = 0

⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]

  P =  [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]

As for t = 0

Braxton's equation , B = Pam's equation,P

⇒Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]

P =  [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distribute:

14w + 14y - 28

good luck, hope this helps :)

Answer:

14w + 14y - 28

Step-by-step explanation:

Distribute :)