A square playground is surrounded by a sidewalk on all sides. The sidewalk is 2n+3 yards along each side. The sidewalk is 0.5 ya
1 answer:
You might be interested in
Answer:
C. 78.5 in^3
Step-by-step explanation:
A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:
We know that the height is 4 inches and the radius is 2.5 inches.
r= 2.5 in
h= 4 in
Evaluate the exponent.
Multiply 6.25 in^2 and 4 in.
Multiply pi and 25 in^3.
Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.
78.5 cubic inches can fill one soup can.
Answer:
A) -sqrt(3)/3
Step-by-step explanation:
If you know your unit circle (attached), 11pi/6 has the value of (sqrt(3)/2,-1/2), where the coords are (cosine, sine).
Tangent is sine/cosine:
(-1/2)/(sqrt(3)/2)
We can convert this to multiplication by miltiplying the reciprocal of sqrt(3)/2:
(-1/2)*(2/sqrt(3))
Multiplied out to:
-2/(2sqrt(3))
We have to rationalize this by multiplying the numerator and denominator by sqrt(3):
-2(sqrt(3))/2sqrt(3)(sqrt(3)
two of the same square roots multiplied together equals the number without the sqrt:
-2(sqrt(3))/2*3
we can factor out 2 from the numerator and denominator:
-sqrt(3)/3
Therefore, the answer is A
