Check the picture below.
let's notice that the angle -150° has a reference angle of 30°, so any trigonometric function for either angle will be the same value, however, let's recall that the sine or y-coordinate is negative on the III Quadrant, so sin(-150°) is the same as sin(30°) BUT negative, -sin(30°).
Answer:
answered
Step-by-step explanation:
A) there y- coordinates are same . This means that the points lie on the x- axis only.
b) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.
c) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units
X + y = 56 ------------------(1)
x:y = 5:3
x/y = 5/3
3 x = 5 y
so, x = (5/3)y---------------(2)
sub (2) in (1)
x + y = 56
(5/3)y + y = 56
5 y + 3 y = 168
8 y = 168
y = 168 / 8 = 21
x = (5/3) x 21
= 35
the value of x - y = 35 - 21
= 14
Answer:
385.875 cm^3
Step-by-step explanation:
3.5/2 = 1.75
3.5^2 - 1.75^2 = 9.1875
3.5 * 9.1875/2 = 16.078
16.078 * 6 * 4 = 385.875
Hello there!
First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?
Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...
The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.
The are asking us how many pages does he reads per minute.
So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute
Cross multiply
0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11
So, Charlie reads 2.11 pages in 1 minute.
I hope this helps. Please let me know if you have questions about the answer.
Thanks!
