Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
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To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
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<em>Additional comment</em>
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
Answer:
2, 5, 10
Step-by-step explanation:
50 divided by 2 = 25
50 divided by 5 = 10
50 divided by 10 = 5
50 divided by 15 = NOT POSSIBLE
I believe the answer is 59 .
first , you plug your variables into the equation : 10(3)(2) - (3) + (2) . next , you multiply the 10 and the 3 and the 2 to get : 60-3+2 . now , you add and subtract from left to right to get : 57+2 . now you add those and get 59 .
hope this helps :)
30 * 20,000 = 600,000
30 * 500 = 15,000
615,000
Sorry if this is incorrect! Goodluck:)
Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a 
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = 
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are 
and 
= 
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
= 
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
