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VARVARA [1.3K]
3 years ago
13

Use the law of cosines to find each missing side round to the nearest tenth

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

a^{2}  =  {b}^{2}  +  {c}^{2}  - 2bc \cos( \alpha)
a =  \sqrt{ {8}^{2} +  {14}^{2}  - 2(8)(14) \cos(67)  }
a = 13.13
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aleksandr82 [10.1K]

Answer:

B.8

Step-by-step explanation:

A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides.

6 0
3 years ago
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Solve the following equation for D. Be sure to take into account whether a letter is capitalized or not. fD - 7 = q^2
Alecsey [184]

Answer:

\displaystyle D=\frac{q^2+7}{f}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

fD - 7 = q^2

It's required to solve the equation for D. All letters must preserve their capitalization.

We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.

Adding 7:

fD = q^2+7

Dividing by f:

\mathbf{\displaystyle D=\frac{q^2+7}{f}}

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Answer:

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Step-by-step explanation:

4 0
3 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
3 years ago
Choose the more precise measurement. A) 32.5 lb B) 28.35 lb *​
s2008m [1.1K]

Answer:

B is the answer

Step-by-step explanation:

I hope it will help u (◕ᴗ◕✿)

8 0
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