Answer:
SF = 7/3
Step-by-step explanation:
Like the problem hint says, you want to put the new coordinate over the old one to find the scale factor. We'll use both x and y.
-7/-3 = 7/3
14/6 = 7/3
Therefore, the scale factor is 7/3.
The exact value is
<span>sin<span>(arccos<span>(<span>3/4</span>)</span>)</span></span>The equation for cosine is <span>cos<span>(A)</span>=<span>AdjacentHypotenuse</span></span>. The inside trig function is <span>arccos<span>(<span>3/4</span>)</span></span>, which means <span>cos<span>(A)</span>=<span>3/4</span></span>. Comparing <span>cos<span>(A)</span>=<span>AdjacentHypotenuse</span></span> with <span>cos<span>(A)</span>=<span>3/4</span></span>, find <span>Adjacent=3</span> and <span>Hypotenuse=4</span>. Then, using the pythagorean theorem, find <span>Opposite=<span>√7</span></span>.<span>Adjacent=3</span><span>Opposite=<span>√7</span></span><span>Hypotenuse=4</span>Substitute in the known variables for the equation <span>sin<span>(A)</span>=<span>OppositeHypotenuse</span></span>.<span>sin<span>(A)</span>=<span><span>√7</span> over 4</span></span>Simplify.<span><span>√7</span><span> over 4</span></span>
Answer:
3
Step-by-step explanation:
4(x + 1) + 8 = 24
Subtract 8 from each side
4(x + 1) + 8-8 = 24-8
4(x + 1) = 16
Divide by 4
4(x+1)/4 = 16/4
x+1 = 4
Subtract 1
x+1-1 = 4-1
x=3
Answer:
108 dollars
Step-by-step explanation:
First, let's convert 6% to a decimal.
We get 0.06 because we multiplied (or divided by 100) it by 1/100.
Now, let's do 0.06 * 300 to get interest on one year. This equals to 18$
Let's now do 18 * 6 to get
108 dollars
Answer:
D
Step-by-step explanation:
(4/5)x*5=8*5
4x=40
4x/4=40/4
x=10
