Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;


From trigonometry, 2sinAcosA = Sin2A

Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;

= 
Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese
Answer:
The radius of the sphere, to the nearest cm:
cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
- The surface area of sphere A = 5024 cm²
The radius of the sphere can be determined such as


Plug in Surface Area of sphere = 5024, π = 3.14 in the formula

cm
Therefore, the radius of the sphere, to the nearest cm:
cm
ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18