Answer:
Step-by-step explanation:
in third quadrant sin is negative.
sin² θ+cos² θ=1
sin²θ+(-16/20)²=1
sin²θ+(-4/5)²=1
sinθ=±√(1-16/25)
=±√((25-16)/25)
=±√(9/25)
=±3/5
so
sin θ=-3/5
Answer:
8%
Step-by-step explanation:
Motivation to learn represents a 40% of the learning acquired and its rated from 1 to 10. An increase from 7 to 9 represents an increase (of motivation to learn of 20%) But since this quality represent 40% of the total, the real increase in learning is 0.2*0.4=0.08 or 8%.
Answer:
70 sq ft
Step-by-step explanation:
count the squares.
Answer:

Step-by-step explanation:
1. Approach
To solve this problem, one wants to find the price of a product after its discount has been applied. The discount is 20% off, so the new price of the item is 80% of its original price (percent is out of 100 so if a an item is 20% off, it is 100 - 20 = 80; 80% the original price). To calculate the percent cost, one would divide the percent value by 100, and then multiply it by the price of the item.
2. Solving
The price of the new item is 80% of the price of the original item. To calculate the percent cost, cent, one would divide the percent value by 100, and then multiply it by the price of the item.
Therefore, the equation that will be formed is,

Substitute,

Simplify,

Answer: 48 people.
Step-by-step explanation:
1. You know that
represents tha number of people that the cable car can safely carry.
2. If you know that there are
and only 12 more people can board it before it becomes unsafe, you can write the following expression:

3. Now, you must solve for
.
4. Then, the number of people that the cable car safely carry is:
