Answer:
A. 
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
sin 30°
<u>Step 2: Solve</u>
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
Answer:
12.5 s
Step-by-step explanation:
If acceleration is constant, speed is proportional to time. To increase the speed by 50 km/h, the car will need an additional time given by ...
t/(50 km/h) = (20 s)/(80 km/h)
t = (20 s)(50/80) . . . . . multiply by 50 km/h
t = 12.5 s
It will take 12.5 more seconds for it to reach a speed of 130 km/h.
Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
<em>24/16 = 1.5</em>
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
<h2>I hope that helps! </h2><h3>Have a wonderful day! </h3>
Answer:
1/18
Step-by-step explanation:
there are 12 marbles in the bag
P(choose red) = 2/12 = 1/6
P(choose blue after replacement) = 4/12 = 1/3
P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18