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liubo4ka [24]
3 years ago
10

5) 10r2 + 3 = 813how do I solve by square roots ​

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0

10r² + 3 = 813

10r² = 813 - 3

10r² = 810

r² = 810 ÷ 10

r² = 81

r = √81

r = <u>9</u>

So, the value of <em>r </em>is 9

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

Oksanka [162]3 years ago
6 0
The answer is r^1=-9, r=-9 because you have to solve the equation.
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frez [133]
In order to compare the amount of wax, you have to calculate the volume of both candles.

Candle of booth A = πr² h/3
A = π * 4² * 6/3
A = π * 16 * 2
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In short, Booth B sells the candle with more wax.

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6 0
3 years ago
A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
What is the surface area of the regular pyramid given below?
yuradex [85]

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

SA = \frac {1} {2} p * S + A_ {b}

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p: It is the perimeter of the base

S: It's the inclination

A_ {b}: It is the area of the base

Substituting:

A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2

ANswer:

Option B

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3 years ago
F (x) = 4x + 7. Find the inverse of f(x).
Brilliant_brown [7]

Answer:

C. f(x) = x - 7 all over 4

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NB: Let f(x) = y

Exchange X and Y

Make y the subject

f(x) = 4x + 7

y = 4x + 7

x = 4y + 7

x - 7 = 4y

x - 7 all over 4 = 4 ÷ 4

y = x - 7 all over 4

6 0
3 years ago
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