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navik [9.2K]
4 years ago
11

Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the

sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Mathematics
1 answer:
EleoNora [17]4 years ago
3 0

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm


ANSWER:

1 triangle 

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Afina-wow [57]

Answer:

Line AB and Line CD are perpendicular. Line EF is not since it's going a different direction then the other two.

<em>Hope this helps.</em>

8 0
3 years ago
Using synthetic division, what is the quotient (3x3 + 4x − 32) ÷ (x − 2)?
Wewaii [24]
The question is set up in the following way:

2] 3   0   4   -32

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Here the 2 is from when x-2 is set equal to zero and then solved for x, the rest is from the the number being divided with zero taking the place of the x^2.

Then the following happens:

2] 3   0   4   -32   
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Here the following happens: 
1. We drop down the first coefficient, which is 3
2. We take this coefficient and multiply it by the two in the corner and get 6.
3. We place this six under the second coefficient (0) and add them together and get 6.
4. We take this 6 and multiply it by the two in the corner and get 12.
5. We take this 12 and put it under the third coefficient (4), add them together and get 16.
6. We take the 16 and multiply it by the two in the corner and get 32.
7. We take the 32 and place in under the forth coefficient and get zero.

This gives us the coefficients of the final answer in the order 3, 6 and 16 with no remaninders which gives us 3x^2+6x+16.<span />
5 0
3 years ago
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Answer:

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Step-by-step explanation:

explanation above

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add simplify if possible I've already posted this once and I don't know what the answer was correct as somebody can do this I wi
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Answer: 15 + 53/77


Step-by-step explanation:


Multiplying a fraction by 1 does not change the value.

Any number divided by itself is 1.

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It is faster to make sure to multiply by the "smallest" form of one that will work, but you don't have to. You only need to make sure that at the end there are no common factors in numerator and denominator, and that numerator is smaller than denominator.

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