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Doss [256]
2 years ago
14

Chris used 43.96 feet of fencing to enclose a circular garden. What is the radius, in feet, of the garden?

Mathematics
1 answer:
UNO [17]2 years ago
4 0

Answer:

r = 7 ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 43.96 , then

2πr = 43.96 ( divide both sides by 2 × 3.14 ← for π )

r = \frac{43.96}{2(3.14)} = \frac{43.96}{6.28} = 7 ft

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For the following system of equations, what is the x-value of the solution? -x+2=6 6y=x+18
AlexFokin [52]

Answer:

Option B is correct.

The value of x is, 0

Step-by-step explanation:

Given the system of equation:

-x+2y =6                 .....[1]

6y =x+18               ......[2]

We can write equation [1] as;

-x = 6-2y  or

x = -6 + 2y                  ......[3]

Substitute equation [3] in [2] we get;

6y =-6 + 2y + 18

or

6y = 2y +12

Subtract 2y from both sides we get;

6y -2y = 2y+ 12 -2y

Simplify:

4y = 12

Divide both sides by 4 we get;

\frac{4y}{4} =\frac{12}{4}

Simplify:

y =3

Substitute the value of y in equation [3] to solve for x;

x = -6 + 2(3)

x = -6 +6 = 0

Therefore, the value of x is, 0



7 0
3 years ago
Read 2 more answers
In the figure below, SRT and TRU are complementary angles. What is the measure of QRV?
Tasya [4]

Answer:

47 degrees

Step-by-step explanation:

43+90= 133

180-133=47

7 0
3 years ago
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MaryAnn can hike 8 miles on 2 hours. How long will it take her to hike 24 miles?
Tatiana [17]
48 hours because you times 24 by 2.
6 0
4 years ago
Read 2 more answers
A company that packages salted and unsalted mixed nuts received a complaint that claimed that the company’s salted packages cont
Eduardwww [97]

Answer:

H_0 : \mu_1 - \mu_2 = 0

H_a : \mu_1 - \mu_2 \ne 0

Step-by-step explanation:

Let the salted package be represented with 1 and the unsalted, 2.

So:

\mu_1: Mean of salted package

\mu_2: Mean of unsalted package

Considering the given options, the null hypothesis is that which contains =.

So, the null hypothesis is:

H_0 : \mu_1 - \mu_2 = 0

The opposite of = is \ne. So, the alternate hypothesis, is that which contains \ne

So, the alternate hypothesis is:

H_a : \mu_1 - \mu_2 \ne 0

4 0
3 years ago
PLS HELP ME ILL GIVE YOU BRAINIEST!!!
kenny6666 [7]

The <em>total surface</em> area of the three figures are 702 square feet.

<h3>How to estimate the amount of metal needed to produce a given amount of figures</h3>

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the <em>total</em> surface area (A_{T}), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (<em>n</em>), no unit, and the surface area of each piece (<em>A</em>).

Now we proceed to calculate the total surface area:

A_{T} = n\cdot A

A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\

+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ]

A_{T} = 702\,ft^{2}

The <em>total surface</em> area of the three figures are 702 square feet. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

7 0
2 years ago
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