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Fofino [41]
3 years ago
6

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

volume of each small box is 8 cubic feet and the volume of each large box is 16 cubic feet. A total of 15 boxes of paper were shipped with a combined volume of 160 cubic feet. Graphically solve a system of equations in order to determine the number of small boxes shipped, x,x, and the number of large boxes shipped, yy.
Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

small boxes= 15

large boxes = 5

Step-by-step explanation:

let the number of large boxes be denoted as  

Then the number of small boxes is 3 time that of large boxes, i.e.

If the total volume of all boxes is 235 cubic feet,

Then, we can form the following relationship (equation)

17*x+10*(3x)=235

x=5

Therefore the number of large boxes is 5

and that of small boxes is  

3*5=15

I hoped i helped

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From the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8
Elena L [17]

Answer:

619.13 feet

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between doghouse to the foot of the tower.

We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.

First of all, we will convert our given angle into degrees as it is given in degrees and minutes.

We will divide 8 by 60 to convert 8 minutes into degrees as:

\frac{8}{60}=0.13333

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(28.13^{\circ})=\frac{331}{x}

x=\frac{331}{\text{tan}(28.13^{\circ})}

x=\frac{331}{0.534623339864}

x=619.12747783

Upon rounding to nearest hundredth, we will get:

x\approx 619.13

Therefore, the doghouse is 619.13 feet far from the foot of the tower.

6 0
3 years ago
I need the answers ASAP
avanturin [10]

1. f(-6)=12

2. k(-4)=-68

Further explanation:

We have two functions whose values we have to find on certain points.

In order to find the values of function, the value is put in place of variable in the function.

So,

<u>1. f(a) = -2a</u>

We have to find, f(-6)

So putting -6 in function

f(-6) = -2(-6)\\= 12

<u>2. k(x) = -3x^2+5x</u>

We have to find, k(-4)

So putting -4 in function

k(-4)=-3(-4)^2+5(-4)\\=(-3)(16)-20\\=-48-20\\=-68

Keywords: Functions, values of functions

Learn more about functions at:

  • brainly.com/question/5337932
  • brainly.com/question/5563823

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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