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navik [9.2K]
2 years ago
6

Find w. A. 8.9 B. 0.05 C. 0.08 D. 5.2

Mathematics
1 answer:
enyata [817]2 years ago
4 0

Answer:

Step-by-step explanation:

Measure of angle V = 180 - 62 - 36 = 82 degrees

So by the law of sines, 10/sin(82 deg) = w/sin(62 deg)

w = [10sin(62)]/sin(82)

from here just plug this into a calculator

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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
PLEASE HELP ASAP
Leviafan [203]

Answer:

  • -2/5

Step-by-step explanation:

<h3>Given</h3>
  • tan (x)=2/5
<h3>To find</h3>
  • tan (2pi - x)
<h3>Solution</h3>
  • tan (2pi - x) =
  • - tan (x) =
  • - 2/5

Correct choice is B

5 0
3 years ago
Read 2 more answers
In a survey of music preferences 81 out of 450 students said that they preferred country music what percent of the students pref
Kazeer [188]
To write 81/450 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
<span>
81/450 * 100 = 0.18 * 100 = 18% </span>
81/450 as a percent<span> equals </span><span>18%</span>
6 0
3 years ago
Triangle ABC translates to triangle ABC describe the translation in terms of X and Y Directions
mina [271]

Answer:

(x + 6, y - 6).

Step-by-step explanation:

6 units to the right and 6 units down =

(x + 6, y - 6).

8 0
3 years ago
PLEASE HELP!!! 30+ POINTS
DedPeter [7]

Answer:

A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.

Step-by-step explanation:

To find the mean add all the ages together and divide by the total number of children.

If you type all those ages into a calculator it is easy to make an error.

8 0
3 years ago
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