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marusya05 [52]
2 years ago
10

Did I get this right?

Mathematics
1 answer:
shusha [124]2 years ago
4 0

Answer:

y=56m

Step-by-step explanation:

choose any given points on both diagrams

30/48=35/y

cross multiply

30y=1680

y=1680/30=56m

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Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?
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The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

<em>Amount paid for down payment</em> = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

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brainly.com/question/2236179

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Shelley designed the patio below, in which one side of the patio is a wall of the house. The length of each side of a square on
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A student solved this problem and said the answer was 78.
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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

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How to write 281,480,100 in word form
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Two hundred and eighty one million,four hundred and eighty thousand and one hundred
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