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3 years ago

Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Step-by-step explanation:

c²=a²+b²

a²=c²-b²

a²= 15²-9²=225-81=144

a=√144=12

sinΩ=a/c=12/15=4/5

cosΩ=b/c=9/15=3/5

tanΩ=a/b=12/9=4/3

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a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packag

Igoryamba

Answer:

The answer is below

Step-by-step explanation:

a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?

Solution:

Let the width of the box be x cm.

The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40

The height of the box = 12 cm

The volume of the box can be gotten from the formula:

Volume = length × width × height

Substituting:

Volume = (x + 40) × (x) × 12

Volume = 12x(x + 40)

Therefore the volume of the new box is 12x(x + 40)

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3 years ago

ANYONE KNOW THIS NEED ASAP

Dmitry [639]

B, it’s the point that the lines cross

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2 years ago

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andreev551 [17]

Answer:

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3 years ago

What is the solution to the system of equations?<br><br> 6x – 9y = 16<br><br> 2x – 3y = 7

kifflom [539]

The first step for solving this problem is to multiply both sides of the bottom equation by -3.
$\left \{ {{6x-9y=16} \atop {-6x + 9y = -21}} \right.$
Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
-9y + 9y = 16 - 21
Remember that the sum of two opposites equals 0,, so the equation becomes the following:
0 = 16 - 21
Calculate the difference on the right side of the equation.
0 = -5
This means that the statement $\left \{ {{6x-9y=16} \atop {2x-3y=7}} \right.$ is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
Let me know if you have any further questions.
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3 years ago

A sweater for $36 at 7% sale tax

tresset_1 [31]

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3 years ago

Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.​

Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.