Answer:
3,489 + 8,617 + 1,240 – 564 x 6 = 9,962
There are 9,962 books left in the library
Hope so it helps cause it's also in my book
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
__
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
__
b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
9514 1404 393
Answer:
a. 40
b. 0
c. 50
Step-by-step explanation:
a) 46 + (-2k) for k = 3 is ...
46 + (-2(3)) = 46 -6 = 40
__
b) 46 + (-2k) for k = 23 is ...
46 + (-2(23)) = 46 -46 = 0
__
c) 46 + (-2k) for k = -2 is ...
46 + (-2(-2)) = 46 +4 = 50
Answer:
Width: 15.8 ft
Length: 32ft
Step-by-step explanation:
The factors of 32 as required in the task content are; 2, 4, 8, 16, 32.
<h3>What are the factors of 32?</h3>
The factors of the number 32 as required in the task content are numbers whose multiples amount to 32 and are as listed above.
The item prices as given in the task content rounded to the nearest £1 are;
Notebook
£2.15 = £2
Pencil Case
£3.80 = £4
Colouring Pencil
£1.49 = £1
Read more on rounding off;
brainly.com/question/12263092
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