In what year did WW1 begin

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

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Answer: a = 14.4 scoops; b = 9.6 scoops

Step-by-step explanation:

a.) 40% of the high fiber scoops is 9.6. We need to figure out how much of the high protein she needs, so we would subtract the 9.6 from 24 and get 14.4.

b.) Solved the same as the first problem but with different numbers. 60% of her high fiber food is 14.4, so subtract that from 24 and you get 9.6.

Hope this helps! :) Sorry if I made a mistake

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4, therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Subtract 12 from both sides:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12            (0, 12)  

x = 1, y = 4(1) - 12 = -8               (1, -8)

x = 2, y = 4(2) - 12 = -4             (2, -4)

x = 3, y = 4(3) - 12 = 0              (3, 0)

And so forth:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

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Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Answer:

A-F parallel to B-D

B-A parallel to D-F

B-F parallel to C-E

Step-by-step explanation:

Line segment A-F is parallel to B-D

Line segment B-A is parallel to D-F

Line segment B-F is parallel to C-E

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

Answer:

1359.24

plz mark brainly

Step-by-step explanation:

Answer:

Danny paid 2.87$ per gallon of gasoline

Step-by-step explanation: 17.22 divided by 6

Answer:

[tex]\frac{15-3}{6}[/tex]

Step-by-step explanation:

You would start by writing the expression for “subtract 3 from 15", which would be [tex]\frac{15-3}{6}[/tex], then you would add on "then divided by 6", which would make it

Answer:

Step-by-step explanation:

15-3/6

15-3 over 6

12/6

2

Answer:

Whats a kayak?

Step-by-step explanation:

Work Shown:

450 calories = 20 ounces

450/20 calories = 20/20 ounces ..... divide both sides by 20

22.5 calories = 1 ounce

This smoothie has 22.5 calories per ounce.

Answer:

16X^2 - 8x

Step-by-step explanation:

A = L x W

L = x + 5 + 3x + 4x - 9 = 8x - 4

W = 2x

(8x - 4) (2x) = 16x^2 - 8x

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]

⇒ 86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)₅

Since we need to go down to up to 321₅ will be the correct answer.

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Answer: The volume of the cylinder is 640π cm³

Step-by-step explanation:

The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height

The formula of the volume of a cylinder is V = πr²h

Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume

∵ The surface area of a cylinder is 288π cm²

∵ Its radius is 8 cm

∵ SA = 2πrh + 2πr²

- Substitute the SA by 288π and r by 8 in the formula

∴ 288π = 2π(8)h + 2π(8)²

∴ 288π = 16πh + 128π

- Subtract 128π from both sides

∴ 160π = 16πh

- Divide both sides by 16π

∴ 10 = h

∴ The height of the cylinder is 10 cm

Now let us find the volume of the cylinder

∵ V = πr²h

- Substitute r by 8 and h by 10

∴ V = π(8)²(10)

∴ V = π(64)(10)

∴ V = 640π

The volume of the cylinder is 640π cm³

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

The total area of the new room is 459.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

3  3/16 divided by 1/8 = 51/2 or 25.5

2  1/4 divided by 1/8 = 18

Thus we have the area

= 18 x 25.5

Area = 459

The total area of the new room is 459.

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Answer:

12

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because WY⊥YZ and WY⊥WV ⇒ WV║YZ ⇒ ∠YZX ≅ ∠WVX ⇒ ΔXWV ~ ΔXYZ (AAA similarity theorem)

The mathematical answer would happen to be... 0

Answer:

0

Step-by-step explanation:

Answer: D

Step-by-step explanation: Just simplify the whole expression. It’s all the same variable. 5x+10x= 15x. 15x+x=16x.