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2 years ago

14

Another parking lot with three sections has 80 cars in it. Is it possible for ratio of the number of cars in the first section t

o the number of cars in the second section to the number of cars in the third section to be 1:2 :3? Explain why or why not.

1 answer:

shusha [124]2 years ago

4 0

Yes. 80:160:240 will equal to 1:2:3

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Would it just be 100 - 82 = 18, so D maybe?

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. For the function given, state the starting point for a sample period:

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I think the answer is π?

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3 years ago

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h

scoray [572]

Answer:

Option B. 1.8 seconds

Step-by-step explanation:

h=-16t^2+56t+1

This is a quadratic equation, and its graph is a parabola

h=at^2+bt+c; a=-16, b=56, c=1

Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:

$t=-\frac{b}{2a}$

Replacing the known values:

$t=-\frac{56}{2(-16)}\\ t=-\frac{56}{(-32)}\\ t= 1.75$

Approximately 1.8 seconds.

Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.

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3 years ago

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The circumference of a circle is 65?. In terms of pi, what is the area of the circle?

iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) $\pi=\frac{c}{d}$ , where c is the circumference of a circle and d is its diameter

(2) $A=\pi r^2$ , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) $d=2r \rightarrow r=\frac{d}{2}$ .

We can rearrange equation (1) to put d in terms of π and c, giving us (4) $d = \frac{c}{\pi}$ , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

$A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}$

We can now substitute c for our circumference, 65, to get our answer in terms of π:

$A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi$

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Roman55 [17]

You would do 7x0.5 which equals 3.5 ft :^)

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