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11111nata11111 [884]
3 years ago
7

If the area of the circle below is 18 ft2, what is the area of the shaded sector

Mathematics
1 answer:
lesantik [10]3 years ago
6 0
Do you have the picture for the shaded area? please be more specific.
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I’m thinking it’s 13? But need someone to clarify if I’m correct!?
Papessa [141]

Answer:

It's 13

Step-by-step explanation:

Well, just use the triangle inequality theorem and pay close attention to angles CAB and EAC... that's all I can say

Hope that helped

8 0
2 years ago
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
I require assistance with this math problem
grigory [225]

Answer:

6

Step-by-step explanation:

Since RQ bisects WRV, WRQ = QRV, 48=7y+6. 48-6=42, leaving 42=7y. 42/7=6.

5 0
3 years ago
Assume that an average cell has a diameter of
emmasim [6.3K]

Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.

So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.

We know 1 meter = 100 centimeters = 1000000 micrometers

So 1 centimeter = 10000 micrometers

Taking Cubic powers on both sides :-

1 cubic centimeters = 10¹² cubic micrometers

1 cubic micrometers = 10⁻¹² cubic centimeters

50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters

So volume of one cell = 5 × 10⁻¹¹ cubic centimeters

Number of cells = \frac{Total\;\; volume}{Volume\;\; of\;\; one\;\; cell}  = \frac{1\;cm^{3}}{5 * 10^{-11}\;cm^{3}} = \frac{10^{11}}{5} = 2 × 10¹⁰ cells.

So, total number of cells = 2 × 10¹⁰ cells.

4 0
3 years ago
A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?
RideAnS [48]

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

5 0
3 years ago
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