Answer:
Step-by-step explanation:
The winner of a weight-lifting competition bench-pressed weight 400 pounds.
All other competitors bench-pressed at least 23 pounds less. So, the maximum weight that all other competitors bench-pressed is
If x pounds is the weight that the other competitors bench-pressed, then
that sounds as the other competitors bench-pressed at most 377 pounds weight.
Answer: 5
Step-by-step explanation: We can use the Pythagorean Theorum here.
4^2 + x^2 = 7^2
16+ x^2 = 49
x^2 = 25
x = 5
Answer:
(-5.5,0)
Step-by-step explanation:
The question is on finding the focus point of a parabola
Given y²= 2(x+6).....................................(a)
Compare equation (a) with the standard equation (y-b)²= 2p(x-a)
y²= 2(x+6)------can be written as (y-0)²=2(x+6)
(y-0)²=2(x+6)
(y-b)²= 2p(x-a)
2p=2-----------------divide both sides by 2 to get p
p=2/2=1
For the vertex (a,b)⇒(-6,0)
For the focus point ( a+p/2, b)........................................(b)
Substitute values i equation (b) above
(-6+1/2 ,0) =(-5.5, 0)
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
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