The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

Answers

Answer 1
Answer: we know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units

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How do you factor this equation? 5x^2-36x-81

Answers

ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER

THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.

STEP BY STEP SOLUTION:

FACTOR BY GROUPING

(5x +9) (x -9)

WRITE IN STANDARD FORM

5x^2 - 36x -81

SOLVE USING THE QUADRATIC FORMULA

Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.

X= 9, -9/5

I HOPE IT HELP YOU :)

If x=3 and y=-2 and z=4, what is the value of 3x + 2y - z?

Answers

3x+2y-z=3\cdot3+2\cdot(-2)-4=9-4-4=1


3x3=9     -2x2=-4     4-0=4

9+-4-4

ANS. = 1

For the function f(x) = 2(8)^x evaluate f(2)

Answers

Answer:

f(2)=128

Step-by-step explanation:

f(x) = 2(8)^x evaluate f(2)

f(2)= 2(8)^2

f(2)=2(64)

f(2)=128

Which of the following equations describes the set of all points (x, y) that are equidistant from the x-axis and the point (4, 6)? (A) (x - 4)^2 + (y - 6)^2 = 9 (B) (x - 4)^2 = 12(y - 3) (C) (y - 3)^2 = 12(x - 4) (D) (x - 4)^2 = 6(y - 3) (E) (x - 4)^2 = 12(y - 6) Why is the answer choice (B)? And also, why not choice (D)?

Answers

Answer

The option B is the right answer because the vertex is (4,3)

Step-by-step explanation:

In the canonical equation of the parabola:

(X-h) ^ 2 = 4p (y-k)

The values (h, k) correspond to the coordinates (x, y) of the vertex.

In the definition of the problem it is said that the guideline of the parabola is the X axis, that is, the line Y = 0 and the focus is the point (4,6).

If the vertex were the point (4.6) the correct option would be option D

But the vertex is located at the midpoint of the segment defined by the focus points (4, 6) and the point (4, 0) that is on the parabola directrix. therefore, as the vertex is the point (4.3). the correct option is B.

The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following options: Option A: Stay with saving the original amount each month but put the addition on one month later than originally planned. Option B: Increase the amount of money they save each month by $120 from their original plan.

Answers

Answer:

So he should go with option B

Step-by-step explanation:

The Greens will need to save to achieve his goal  = $10,620

After one year if they have saved $6120.00 this means they save

6120 ÷ 12 = $510 per month

This means after 18 months they save

510 × 18 = $9,180 only. this is not enough for his goal.

so if he increases the amount of money by adding $120 from their original plan he could achieve his goal

= 510 + 120 = $630 per month

= 630 × 18 months = $11,340

So he should go with option B.

option b. is what I would go with

A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she might teach about the letter S or the letter U, but not the letter M. What letters are possible to teach using this method? (There are 15.) List all the letters in alphabetical order, with no spaces

Answers

Answer:

  • A, D, E, F, H, I, M, N, O, R, S, T, U, W, Y

Explanation:

Order the letters of each day, omitting the repetitions:

MONDAY:

  • A, D, M, N, O, Y

TUESDAY:

  • A, D, E, S, T, U, Y

WEDNESDAY:

  • A, D, E, N, S, W, Y

THURSDAY:

  • A, D, H, R, S, T, U, Y

FRIDAY:

  • A, D, F, I, R, Y

SATURDAY:

  • A, D, R, S, T, U, Y

SUNDAY:

  • A, D, N, S, U, Y

Put the letters together:

  • A, D, M, N, O, Y, A, D, E, S, T, U, Y, A, D, E, N, S, W, Y, A, D, H, R, S, T, U, Y, A, D, F, I, R, Y, A, D, R, S, T, U, Y, A, D, N, S, U, Y

Delete the repetitions:

  • A, D, M, N, O, Y, E, S, T, U, W, H, R, F, I.

Reorder:

  • A, D, E, F, H, I, M, N, O, R, S, T, U, W, Y ← answer