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Nikolay [14]
2 years ago
15

What is the total area, in square inches, of the shaded sections of the trapezoid below?

Mathematics
1 answer:
OlgaM077 [116]2 years ago
6 0

9514 1404 393

Answer:

  64.5 square inches

Step-by-step explanation:

The area of each of the two triangles can be found from the formula ...

  A = (1/2)bh

<u>left triangle</u>

  A = (1/2)(9.8 in)(8.6 in) = 42.14 in²

<u>right triangle</u>

  A = (1/2)(5.2 in)(8.6 in) = 22.36 in²

Total shaded area is the sum of the areas of the two triangles:

  (42.14 +22.36) in² = 64.5 in²

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Answer:

8

Step-by-step explanation:

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3 years ago
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Neporo4naja [7]

Answer: V≈56.55

Step-by-step explanation:

V=πr2h

3 = radius

2=height

Fill in the formula = V=πr2h=π·32·2≈56.54867

<u>V≈56.55</u>

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2 years ago
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3 years ago
2. What is the external probability of rolling a 4
Nataly_w [17]

Answer:

2. 1- Experimental probability of rolling a 4 = 40%

3. 2- Theoretical probability is 3%  greater than experimental probability.

Step-by-step explanation:

Experimental probability of rolling a 4 = 100 × \frac{8}{20}

                                                                  = 100 × 0.4

                                                                  = 40%

Experimental probability of getting at least one tail  = \frac{72}{100}

                                                                                    = 0.72

Theoretical probability of getting at least one tail  = \frac{3}{4}

                                                                                  = 0.75

Theoretical probability is 3%  greater than experimental probability.

6 0
3 years ago
find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor
Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: y = -x^2+8x-12

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

3 0
3 years ago
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