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4 years ago

13

Hey guys! Leave the answer in terms of pi :)

1 answer:

DaniilM [7]4 years ago

8 0

A) if the diameter is 13 the radius is 6.5
$(6.5 \times 6.5) \times \pi = 42.25\pi \\ = 132.7323$
b)if the diameter is 6 the radius will be 3
$(3 \times 3) \times \pi = 9\pi \\ = 28.27433$
hope this helps

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What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$

Therefore:

FOR THE SQUARE:

$L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}$

FOR THE RECTANGLE 1:

$L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}$

FOR THE RECTANGLE 2:

$L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}$

Finally, the area of a garden is the sum of the three areas:

$A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}$

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

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3 years ago

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umka21 [38]

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Step-by-step explanation: I've attached the explanation

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3 years ago

You want to go to the skate park, and you have two options:

Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

<u>Define the variables</u>

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

<u>Work to solve</u>

For Sami's skate

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

<u>The equations</u>

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

<u>When the cost are the same</u>

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

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<u>What is the cost</u>

Substitute 4 for x in any of the equations

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$y = 4 + 10$

$y = 14$

<em>The cost is $14.00</em>

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Step-by-step explanation:

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