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3 years ago

Given that 4704/m = n^2, where m and n are whole numbers and n is as large as possible, find the value of m and of n

Mathematics

1 answer:

Andrews [41]3 years ago

5 0

Answer:

n=28,m=6

Step-by-step explanation:

Rearrange to give 4704 = m * n^2

Express 4704 in its prime factorisation:

2^5 * 3^1 * 7^2

We know that n must be as large as possible and, because it is squared, be the even numbers.

We get n^2 = 2^4 * 7^2 so n = 2^2*7 = 28

m is the leftovers

2^1*3 = 6

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Mike spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowanc

satela [25.4K]

What a wack question, confused on either he spent that 7 or didn't. But imma say he didnt so, i think 8$ if thats even an answer, spent half his allowance and earned 7 dollars and ended off with 15 at the end of the week. So that means 8 doesn't it?

Step-by-step explanation:

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3 years ago

I need help with finding the area to this Triangle. This is Geometry by the way.

ycow [4]

Answer:

9 sq. units

Step-by-step explanation:

dimensions of rectangle are (7-3),(8-3)

or 4,5

area of rectangle=4×5=20

area of bottom Δ=1/2×4×2=4

area of top Δ=1/2×3×3=9/2

area of right triangle=1/2 ×5×1=5/2

area of Δ HIJ=20-(4+9/2+5/2)

=20-(4+14/2)

=20-(4+7)

=9 sq. units.

or area of triangle =1/2

| 3 5 |

| 7 3 |

|6 8 |

|3 5 |

=1/2[(9-35)+(56-18)+(30-24)]

=1/2[-26+38+6]

=1/2[-26+44]

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=9 sq. units.

8 0

3 years ago

pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base

kaheart [24]

Answer:

First "order of operations" mistake: step 2

First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

$\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}$

for x = -1 and y = 2.

Her work seems to be ...

Step 1

$\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}$

Step 2

$\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}$

Step 3

$\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}$

Step 4

$\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}$

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

$\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}$

We expect your answer is supposed to be Step 4.

7 0

4 years ago

The measure of an angle is 2.8.what is the measure of its complementary angle

german

Answer:

87.2º

Step-by-step explanation:

Complimentary angles total 90º

c + 2.8 = 90

c = 90 - 2.8

c = 87.2º

3 0

3 years ago

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HELPPP pls pls pls tyty

Evgen [1.6K]

Answer:

A=72CM^2

Step-by-step explanation:

The answer is 72cm^2 because the area of a triangle is h x b divided by two because the triangle is half of a square, since the square is side times side, the answer is 12x12 divided by two, wich is 144/2. The final answer is 72

5 0

2 years ago

Read 2 more answers