if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π

Answer:

c

Step-by-step explanation:

This question is Incomplete

Complete Question

The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.

a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answer:

a. 8.85kg of flour is left.

b. 2.95 bins

Step-by-step explanation:

The bakery bought 4 bags of flour containing 3.5 kg each.

Total kg of flour the Bakery bought : 4 × 3.5kg

= 14 kg of flour

0.475 kg of flour is needed to make a batch of muffins

1 batch of muffin = 0.475kg of flour

4 batches of muffins = ???

Cross Multiply

4 batches × 0.475kg/ 1 batch

= 1.9kg of flour was used.

0.65 kg is needed to make a loaf of bread.

1 loaf of bread = 0.65kg of flour

5 loaves of bread = ???

Cross Multiply

5 loaves × 0.65/1 loaf

= 3.25 kg of flour.

Total kg of flour used = 1.9kg + 3.25kg

= 5.15kg of flour.

The amount of flour left = 14kg - 5.15kg

= 8.85kg of flour is left.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?

3 kg of flour is stored = 1 bin

8.85 kg of flour is stored = x

Cross Multiply

3kg × x = 8.85kg × 1 bin

x = 8.85 kg × 1 bin/3kg

x = 2.95 bins

Answer:

k =3

Step-by-step explanation:

2/5(5k+35) -8 =12

Add 8 to each side

2/5(5k+35) -8+8 =12+8

2/5(5k+35)  =20

Multiply each side by 5/2

5/2 *2/5(5k+35)  =20*5/2

5k+35 = 50

Subtract 35 from each side

5k+35-35 = 50-35

5k = 15

Divide by 5

5k/5 = 15/5

k =3

See attachment for math work and answer.

Answer:

ASA

Step-by-step explanation:

you can prove it by using ASA (Angle Side Angle)

ASA is a postulate that states if two angles and one side are congruent to another triangle.

hope this helps :)

brainliest?

Answer:asa

Step-by-step explanation:

because it is lol

Answer:

2000

Step-by-step explanation:

that i the answer becuase you multply

$0.54 x 2.6 =$1.404  

$1.28 x 3.1=$3.968  

$1.404 rounds to $1.40

$3.968 rounds to $4

$4 = $ 1.40 = $5.40  

:)

Answer:

$12.84

Step-by-step explanation:

to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:

0.54 x 3 = 1.62

2.19 x 3= 6.57

1.55 x 3= 4.65

1.62 + 6.57 + 4.65 = 12.84

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Answer:

You don't

Step-by-step explanation:

*Mind Blown*

Answer:

hope it helps..

Step-by-step explanation:

1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.

2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.

Answer:

14.85

Step-by-step explanation:

Answer: 14.85 dollars

Step-by-step explanation:

When you multiply .27 times 55 to see how much money he will make by sewing 55 collars, you will get 14.85 dollars.

im sorry i couldnt figure it out

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

The percentage;

           = [tex]\frac{comparing number }{total number } x 100[/tex]

          = [tex]\frac{52520000}{142000000}[/tex] x 100

          = 37%

Answer:

dwadwdwa

Step-by-step explanation:

Answer: I think you answer is -61 if not sorry

Step-by-step explanation:

Answer:

-.25

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

The answer is -1/4 as 1/3x3/4 is 1/4, and as we have a negative number, the 1/4 flips to -1/4. Hope it helps!

Your answer will be:

(p - 9) (p + 4) in factored form.

Answer:

30

Step-by-step explanation:

150 divided by 5 is 30 i hope this helps

Answer:

The unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!

Answer:

-24

Step-by-step explanation:

Answer:

-58 + 34 = -24

Step-by-step explanation:

You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.

REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.

Hope that was helpful and not confusing!!!

By completing squares we will see that the solutions are:

[tex]x =\pm \sqrt{35} + 8[/tex]

Here we have the quadratic equation:

[tex]x^2 - 16x + 50 = 21[/tex]

We can rewrite it as:

[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]

Then we must have a 8² term to complete squares, then we need to add and subtract 35.

[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]

Now we can solve this:

[tex]x =\pm \sqrt{35} + 8[/tex]

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ2

Answer:

1:5

Step-by-step explanation:

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

Answer:

Step-by-step explanation:

We have three pairs of congruent rectangles

9cm × 4m; 9cm × 5cm and 4m × 5cm

We know 1m = 100cm, therefore 4m = 400cm

The formula of an area of a rectangle l × w:

A = l · w

Substitute:

A₁ = 9cm · 4m = 9cm · 400cm = 3600cm²

A₂ = 9cm · 5cm = 45cm²

A₃ = 4m · 5cm = 400cm · 5cm = 2000cm²

Calculate the surface area:

SA = A₁ + A₂  + A₃

SA = 3600cm² + 45cm² + 2000cm² = 5645cm²

Answer:

202cm²

Step-by-step explanation:

2×(5×9)+2(4×5)+2(9×4)

90+40+72=202cm²

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

read more: https://brainly.com/question/19478605?referrer=searchResults

Answer:

There were 15 small boxes shipped and 5 large boxes shipped.

Step-by-step explanation:

Let s = the number of small boxes shipped

Let l = the number of large boxes shipped

Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:

                                                 35s + 65l = 850

Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l

                                                  s = 3l

Write System of Equations:

                                                 35s + 65l = 850

                                                     s = 3l

Substitute value of s into the first equation:

35(3l) + 65l = 850

105l + 65l = 850

170l    850

__   =   __  

170      170

  l = 5

Since l = 5, we know 5 large boxes were shipped.

Use l = 5 to solve for s:

s = 3l

s = 3(5)

s = 15

Since s = 15, we know 15 small boxes were shipped.

Answer:

B

Step-by-step explanation:

Answer:

-650ft

Step-by-step explanation:

I took a test with a question like that