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Vikentia [17]
3 years ago
11

Given a 10 foot length of tree trunk with a radius of 3 feet, what is the weight of the tree trunk section if it has a density o

f 45 lb/ft3?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

treat the tree trunk as a cylinder

v= pi x r^2 x h

using 3.14 for pi

3.14 x 3^2 x 10 = 282.6 cubic feet

282.6 * 45 =  12, 717 pounds

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Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs
kari74 [83]

Answer:

W = 16

T = 67

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

T = 3 + 4 * W

2 * W + T = 99

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

2*W + 3 + 4 * W = 99

2W + 3 + 4 W = 99

Collect Like Terms

2W + 4 W = 99 - 3

6W = 96

Divide through by 6

W =\frac{96}{6}

W = 16

Hence, each wreath costs $16

Solving (b): Cost of T

T = 3 + 4 * W

Substitute 16 for W

T = 3 + 4 * 16

T = 3 + 64

T = 67

Hence, each tree costs $67

3 0
3 years ago
-5x+2y=6<br> -x+2y=-2 <br> what is the solution to the system of equations?
dybincka [34]

Step-by-step explanation:

- 5x + 2y = 6 \\ - x + 2y =  - 2 \\  \\  - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\  - 5x + 2y + x - 2y = 6 + 2 \\  - 4x = 8 \\  \frac{ - 4x}{ - 4}  =  \frac{8}{ - 4 }  \\ x =  (- 2) \\  \\  -5x + 2y =  6 \\  - 5 \times  - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y =  - 4 \\  \frac{2y}{2}  =  \frac{ - 4}{2}  \\ y =  - 2 \\  now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\  - x + 2y = -  2 \\ -   ( - 2) + 2 \times  - 2 = -  2 \\ 2 + 2  \times   - 2 =  - 2 \\ 2 - 4 =  - 2 \\  - 2 =  - 2 \\ yes \: this \: equation \: is \\ correct.

7 0
3 years ago
What is the area of the kite<br>​
kykrilka [37]

Answer:

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the average rate of change for the sequence shown below?
Mkey [24]

Hey There!

To find the rate of change, simply use the following formula.

y2 - y1 = x2 - x1

Keeping this in mind, let's begin to solve.

3 - 4 = -1

1 - (-1) = 2

Therefore, the answer would be C

Thank you for posting your question with Brainly!

6 0
3 years ago
Evaluate the function f(x) = x2 + 3x for both of the following:
marissa [1.9K]
F(x)=x²+3x

f(0)=0²+3*0=0+0=0

Answer: f(0)=0

f(4)=4²+3*4=16+12=28

Answer: f(4)=28
6 0
3 years ago
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