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4 years ago

5

Sam has 100 feet of fencing. Does he have enough fencing to enclose a circular region whose area is 630 square feet? Show work!

1 answer:

slavikrds [6]4 years ago

6 0

A=pi(radius^2)
630/3.14=200.64
radius=14.16 feet
C=2(pi)(radius)
=3.14(2)(14.16)
=6.28(14.16)
C=88.92
88.92<100
Yes! He has enough fencing to enclose the circular area.

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Please help me asap i will give brainiest and all my points

Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

$16^{5}+215$ by 33

$1,048,576 + 215$

$1,048,791$

We now then divide the total amount with 33.

$\dfrac{1,048,576}{33}$

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

$51^{7}-51^{6}$ by 25

$897,410,677,851 - 17,596,287,801$

$879,814,390,050$

We now then divide the total amount with 25.

$\dfrac{879,814,390,050}{25}$

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. $51^{7}-51^{6}$ IS divisible by 25.

Next on we have:

$5^{5}-5^{4} +5^{3}$ by 7

$3,125 - 625 + 125$

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

$2,500 + 125$

$2,625$

We now then divide the total amount with 7.

$\dfrac{2,625}{7}$

= 375

The total value did NOT return a decimal point, therefore making the equation true. $5^{5}-5^{4} +5^{3}$ IS divisible by 7.

$7^6+7^5-7^4$ by 11

$117,649+16,807-2,401$

$134,456-2,401$

$132,055$

We now then divide the total amount with 11.

$\dfrac{132,055}{11}$

= 12,005

The total value did NOT return a decimal point, therefore making the equation true. $7^6+7^5-7^4$ IS divisible by 11.

Last but not the least:

$5^{23}-5^{21}$ by 24

$11,920,928,955,078,125-476,837,158,203,125$

$11,444,091,796,875,000$

We now then divide the total amount with 24.

$\dfrac{11,444,091,796,875,000}{24}$

= 476,837,158,203,125

The total value did NOT return a decimal point, therefore making the equation true. $5^{23}-5^{21}$ IS divisible by 24.

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3 years ago

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

viktelen [127]

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

$6x + 3y = 12$

$4x + y = 14$

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

$6x + 3y = 12$ becomes

$6 * 5 + 3 * -6 = 12$

$30-18 = 12$

$12 = 12$

$4x + y = 14$ becomes

$4 * 5 - 6 = 14$

$20 - 6 = 14$

$14 = 14$

Because both solutions are true, then (5,-6) is a solution

8 0

3 years ago

Which of the following BEST describes how to use the addition property of equality to isolate the variable y

Alexandra [31]

Answer: C) add 12 to both sides

Reason:

We add 12 to the left side to undo the -12, which will get y by itself.

We must do the same thing to both sides to keep things balanced.

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2 years ago

Which ordered pair is a solution of the equation −1/4x + 6 = y?

il63 [147K]

Answer:

C

Step-by-step explanation:

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3 years ago

Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?

Nikolay [14]

Answer:

Option B, y + 3 = -7/3(x - 2)

Step-by-step explanation:

<u>Point slope form: (y - y1) = m(x - x1)</u>

<u />

<u>Step 1: Find the slope</u>

m = $\frac{y2 - y1}{x2 - x1}$

m = $\frac{-3 - 4}{2 - (-1)}$

m = $\frac{-7}{2 + 1}$

m = $\frac{-7}{3}$

<u>Step 2: Plug into the point slope form</u>

(y - 4) = -7/3(x - (-1))

(y - 4) = -7/3(x + 1)

OR

(y - (-3)) = -7/3(x - 2)

y + 3 = -7/3(x - 2)

Answer: Option B, y + 3 = -7/3(x - 2)

3 0

3 years ago