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Olegator [25]
3 years ago
11

Find the length of the missing side of the right triangle below.

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

your answer is a = <u>+</u> √105 .

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
2х + 5y = 0<br> 3х – 4у = 23
lawyer [7]
Correct answer:
X = 5
Y = -2
7 0
3 years ago
Read 2 more answers
What is the exponet of 10×10
Ivanshal [37]
The exponent of 10x10 is 100

5 0
3 years ago
Read 2 more answers
The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. a. Use the formula
Rus_ich [418]

Answer:

a) P(x)=14x-224,000 and b) P(21,000)=70,000.

Step-by-step explanation:

a.) Use the formulas shown to write the company's profit function, P, from producing and selling x radios.

The company's profit is given by its revenue minus the production cost. Then, the profit function P(x) will be given by

  1. P(x)=R(x)-C(x)=46x-(224,000+32x)=14x-224,000.

b.) Find the company's profit if 21,000 radios are produced and sold

To obtain the company's profit we just need to substitute the value given (x=21,000) in the formula 1). Therefore,

P(21,000)=R(21,000)-C(21,000)=14(21,000)-224,000=70,000.

6 0
3 years ago
What are the mean, median, and mode for the following data set?
FrozenT [24]
Order the number:
15,34,71,75,75,78,78,78,82,90,90,94,100
Mode:78
Mean≈74.8
Median:78 is your final answer. Hope it help!
3 0
3 years ago
Read 2 more answers
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