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2 years ago

Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?

1 answer:

7 0

So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows.

C = 2pi *Radius

so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet

In summary, the diameter of the tree is 2.565 feet.

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Helga [31]

Answer:

The answer is (4x-1)·(3x+2)

Step-by-step explanation:

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3 years ago

A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t

Neko [114]

Answer:

A) A[p(t)] = 36πt²

B) 7234.56 square units

Step-by-step explanation:

Given functions:

$\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}$

Part A

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

$\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}$

Part B

Given

t = 8 minutes
π = 3.14

Substitute the given values into the equation for A[p(t)} found in part A:

$\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}$

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

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2 years ago

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Allisa [31]

Answer:

Step-by-step explanation:

First up, chill a bit xd

So hot dog = x

Drink = y

2 hot dogs = 2x

2 drinks = 2y

2x + 2y = 4.75

3 hot dogs = 3x

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3 years ago

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that mo

liraira [26]

Using the formula for interest:

F = P (1 + r/n)^t

Where:
F = future value
P = Principal value
r = interest rate per year
n = interest period
t = duration

Substituting the given values:
F = 200 (1 + 0.32/12)^1
F = 205.33

To obtain the interest, we subtract the principal value from the future value. This is shown below:

Interest = 205.33 - 200 = 5.33

Among the choices, the answer is A.

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2 years ago

What is greatest common factor of 60, 84, 24

lord [1]

The greatest common factor of 60, 24, and 84 is 12

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3 years ago

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