Answer:
-10 and 2
Step-by-step explanation:
1. Think about what numbers multiply to -20: -10 and 2, 10 and -2, -20 and 1, 20 and -1, 4 and -5, -4 and 5
2. Then, think about which of the above adds to -8. This leaves you with -10 and 2
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
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a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
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b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
it's 45
Step-by-step explanation:
Okay, so if 2 peppers is 25 meters long, you just divide 25 by 2 to get how many peppers the dragon breathes as 1 pepper. So then you get 12.5, And if you do that with the green peppers, you get 1.5. So, the dragon ate 3 green peppers, so it's 12.5 x 3 , aka. 12.5+12.5+12.5. That's 37.5, and if you do 1.5x5 for the green peppers, it's 7.5, And now you add 37.5+7.5, and you get 45.
Answer:
60%
Step-by-step explanation:
12 kids played. 8 didn't play. That means there is a total of 20 students.
The fraction would be 12/20.
To make it into a percent, divide 100 by the denominator (20) and multiply it by the numerator (12)
100 divided by 20 is 5
12 x 5 = 60
Answer:
AED and DEF
Step-by-step explanation:
Both on a straight line equal 180 degrees (90 + <E)
