You can use the sum and difference identities which for cosine is cos(a+b)= cosacosb-sinasinb
Answer:
267.947 cm^{3} of gel is required to fill the plastic ball.
Step-by-step explanation:
<em>The radius of the ball is given as 4 cm.</em>
<em>The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.</em>
The volume of the sphere is given by the formula,
, the R is the radius of sphere.
Thus, the volume of gel required to fill the plastic ball to make it stress ball is
267.947 cm^{3} of gel.
Answer:
An infinite number of solutions
Step-by-step explanation:
This is because of all the 0's the zeros represent none and none is infinite. When in the matrix you are solving and solving is a infinite. When times 0 is 0 and when divided by 0 is infinite so an infinite amount of answers.
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet