MATHEMATICS HIGH SCHOOL

X-2(x+10)=12 I have to find what x equals. Please help I am so confused

Answers

Answer 1

Answer:

Answer:

X=24

Step-by-step explanation:

X-2(X+10)=20

x-4(x-10)=14

x-4x-40=14

3x-40=14

3x=54

3/54=24

x=24

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The number divided by -4 is increased by -63, the result is -45. What is the number?
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Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.

Please select the best answer from the choices provided

A
B
C
D

Answers

answer is b
4000/12 = 333
333+80 = 413
413*20= 8260 they have enough

400/12=333
333*22= 7326 not enough

What is the exact area of a circle whose diameter is 14 cm?A.
14 straight pi cm2

B.
28 straight pi cm2

C.
49 straight pi cm2

D.
196 straight pi cm2

Answers

Ok so the formula for the area of a circle is pi r2 so first the radius half of 14 is 7 so 7 squared would be 49 so it would be C. and if you wanted to get the estimation you would just multiply pi to 49 I hope this helps :)

Simplify. 2.18 x 10 to the power of 4

PLEASE HELP!!

Answers

Answer:

I am assuming that this is scientific notation, in which case the answer would be 21800.

Step-by-step explanation:

2 wires help support a tall pole. 1 wire forms an angle of 48 degrees with the ground and the other wire forms an angle of 72 degrees with the ground The wires are 20 meters apart. How tall is the pole?

Answers

the height of the pole is 24.48 m

What is the concept of heights and distances?

The concept of heights and distances is the use of right triangles in real-world examples and solving for missing components using trigonometric ratios in a right triangle.

The scenario is illustrated below :

let triangle form with wire of angle 48 degree be BCD and that with angle 72 degree is ACD,

with, distance AB equals to = 20 m

Let AD be = y

the height of the pole CD = x

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side.

Considering triangle ACD,

Tan 72 = x/y

x = ytan72° = y ×3.077

x = 3.077y- - - - - - - - -(1)

Considering triangle BCD,

Tan48 = x/(20 - y)

x = (20 - y)tan48 = 1.11(30 - y)

x = 33.31 - 1.11y- - - - - - - - -(2)

Substituting equation 1 into equation 2, it becomes

3.077y= 33.31 - 1.11y

3.077y+ 1.11y = 33.31

4.187y = 33.31

y = 7.95 m

x = 3.077y

x = 3.077 x 7.95

x = 24.48 m

Therefore, the height of the pole is 24.48 m.

Learn more about heights and distances :

brainly.com/question/16726384

#SPJ2

First you'll want to draw your triangles (2 right triangles with the pole running through the middle). The angles you know are 72 degrees on the bottom left corner and 48 degrees on the bottom right corner. With this, you can figure out what the remaining angles are.
Angles of a triangle add up to 180 degrees so the missing top angle for the first triangle is 18 degrees (180 - (90 + 72)) and the missing top angle for the second triangle is 42 degrees.

You can now set up a ratio since angles are directly proportional to their opposite side. You know that the bottom is 20 meters. This means that 18/(18+42) = x/20, which simplifies to x = 6. This means the bottom of the first triangle is 6 meters, and it follows that the bottom of the second triangle is 12 meters (although you don't really need this information).

Now comes the trig. You need to figure out the length of the hypotenuse of one of the triangles so that you can use the Pythagorean Theorem to figure out the height of the pole. You can set up tan(72) = (6/x) - tangent is opposite over adjacent - which simplifies to x = 6/tan(72). You can plug this into your calculator (make sure you're in degrees mode) and you'll get x = 5.4024. This is the length of your hypotenuse.

Now plug this value into the Pythagorean Theorem (a^2+b^2=c^2) to get 6^2 + b^2 = (5.4024)^2 = c^2, c^2 = 65.1862, and c is approximately 8.0738!

8.0738 meters tall.

Mr.Vance's yearly taxable income is $35,675.What is the dollar amount taken out for taxes based on Mr.Vance's taxable income?

Answers

This is an incomplete problem. The missing information is

Each bulleted statement describes how the amount of income tax is determined for yearly income in different ranges.

1) Yearly incomes of $8,925 or less are taxed at a flat rate of 10%.
2) For yearly incomes from $8,926 to $36,250, the first $8,925 is taxed at 10% and any income beyond $8,925 is taxed at 15%.
3) For yearly income greater than $36,250, the first $8,925 is taxed at 10%, the next $27,325 is taxed at 15%, and any income beyond $36,250 is taxed at 25%

The taxable income of Mr. Vance corresponds to number 2.

⇒ 8,925 * 10% = 892.50
⇒ 35,675 - 8,925 = 26,750 * 15% = 4,012.50

Total tax = 892.50 + 4,012.50 = 4,905

Write y=2x^2-4x+12 in vertex form

Answers

This is the answer
y=-2(x+1)^2+8

Answer:

its y=2(x-1)^2+10

Step-by-step explanation:

made a 100

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