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2 years ago

A 20-inch diameter bicycle tire rotates 200 times.

Mathematics

1 answer:

fenix001 [56]2 years ago

8 0

Answer: B)1,047 feet

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the circumference of the tire:

Circumference(C): π x diameter

C = π (20) = 62.83 inches.

Since 1 foot is equal to 12 inches.

62.83 ÷ 12 = 5.23 feet

Finally we have to multiply the result by 200:

5.23 x 200 = 1,047 feet

Feel free to ask for more if needed or if you did not understand something.

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A pebble is tossed into the air from the top of a cliff. The height, in feet, of the pebble over time is modeled by the equation

Charra [1.4K]

Answer:

Step-by-step explanation:

The maximum height reached by the pebble modeled by the quadratic function,

$h(t)=-16t^2+32t+80$ , can be found by finding the vertex.

Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.

When comparing $h$ to $at^2+bt+c$ , we see that:

$a=-16$

$b=32$

$c=80$

We need to evaluate the following to find the t-coordinate of the vertex:

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

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

$t=\frac{-32}{-32}$

$t=1$

So now to find the correspond h(t)-coordinate, we will need to replace t in $-16t^2+32t+80$ with 1:

$-16(1)^2+32(1)+80$

$-16(1)+32+80$

$-16+32+80$

$16+80$

$96$

5 0

1 year ago

The Blakely family plans to plant sod (grass) in their backyard. The yard measures 250 feet by 180 feet. The family has an in-gr

crimeas [40]

To cover the backyard they need 44700 square foot of sod.

Step-by-step explanation:

Area of the backyard = 250 x 180 ft

= 45000 square ft.

Area of the swimming pool = 15 x 20 ft.

= 300 square ft.

Area of the backyard available for planting sod = 45000 - 300

= 44700 square ft.

To cover the backyard they need 44700 square foot of sod.

5 0

1 year ago

a bicycle wheel has a diameter of 40 cm how many revolutions would a wheel make if the bike travels 1 km pi=3.14 (answer please

andriy [413]

Circumference of a circle = Diameter × pi
Circumference of a circle = 40 cm × 3.14
Circumference of the wheel = 125.6 cm

1 Km = 1000m
Circumference of the wheel × 1000m = The number of revolutions
125.6 × 1000m = 125600

The wheel would make 125600 revolutions if the bike travels 1 km.