Answer:
The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.
Step-by-step explanation:
The trig function sine, often abbreviated as "sin" (pronounced the same way as "sine"), is essentially the ratio or fraction of the opposite side and the hypotenuse. See the attached image for a reference.
The leg opposite angle B is side AC. Note how B is not present in the sequence "AC". Visually, we are as far away as possible from point B. This side is 16 units long. So AC = 16
The hypotenuse is the longest side of the right triangle. Always always always. This longest side is opposite the largest angle (90 degrees). Therefore the hypotenuse is BC = 17.46
In summary so far, we have,
opposite side = AC = 16
hypotenuse BC = 17.46
Let's use those values to compute sin(B)
sin(Angle) = opposite/hypotenuse
sin(B) = AC/BC
sin(B) = 16/17.46
sin(B) = 0.916 (this is approximate)
sin(B) =
0.92 (rounding to nearest hundredth)
This points to the
final answer of choice A) 0.92--------------------------------
Edit: Sorry nearly forgot about the reference image. I attached it just now.
Answer:
f−1 (x)= x/3 +1 /3
Step-by-step explanation:
(a) There are 1/4 cups of flour per serving
<u>Work:</u> 1.5/6=1/4
(b) There are aprox. .18 cups of sugar per serving.
<u>Work:</u> 9/12+4/12=13/12 n then divide 13/12 by 6
(c) You need 2 1/4 cups of flour to make 9 servings
<u>Work:</u> 1.5/2=.75 1.5+.75=2.25=2 1/4 cups
(d) Someone would need to know the amount of sugar per serving to make the recipe accurate.
<em>Question 2</em>
(a) You're account is at $10 dollars
<u>Work:</u> $5x5 (days)=$25. add 25 to -15 and you have $10 dollars in you're account.
(b) 5 days.
<u>Work:</u> 10/2=5 10-10=$0