About what distance in feet would a person be 8 seconds after experiment begins

The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part

erastova [34]

Answer:

$71.63 \: \: \mathrm{cm^2 }$

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

$d=\sqrt{w^2 + l^2}$

The width is 10 cm and the length is 12 cm.

$d=\sqrt{10^2 + 12^2}$

$d \approx 15.62$

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

$A=\pi r^2$

The $r$ is the radius of the circle, to find radius from diameter we can divide the value by 2.

$r = \frac{d}{2}$

$r=\frac{15.62}{2}$

$r=7.81$

Let’s find the area now.

$A=\pi (7.81)^2$

$A \approx 191.625$

Find the area of rectangle.

$A=lw$

Length × Width.

$A = 12 \times 10$

$A=120$

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

$191.625-120$

$71.625 \approx 71.63$

5 0

2 years ago

How are mathematical models helpful? What are the advantages and disadvantages of using a model?

Gemiola [76]

Mathematical models are helpful. Advantages include helping you see the data clearer and helping you visualize. Disadvantages are: time consuming, and if you make a mistake on the graph, its going to hit the entre thing.

6 0

3 years ago

Given f(x)=x^2−2x−5. Enter the quadratic function in vertex form.

FrozenT [24]

Answer:

$f(x) = (x-1)^2-6$

Step-by-step explanation:

Rewrite the quadratic using the method of completing the square:

$x^2-2x-5=(x^2-2x+1)-1-5=(x-1)^2-6\\f(x) = (x-1)^2-6$

From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.

8 0

3 years ago

A dresser contains six pairs of shorts one each in the colors, red, black, blue, green, khaki, and gray. The dresser also contai

marissa [1.9K]

Answer: 1/24

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Work Shown:

A = selects green pair of shorts
B = selects gray t-shirt

P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4

P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24

Note: The fraction 1/24 is approximately equal to 0.041667

5 0

3 years ago

2+2=? A- 4 B- no it's A C- nop look at B D- come on really? Go to College

anygoal [31]

Answer:

E- 48-x+y=1.2353783763

6 0

2 years ago

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