We would have two circles of 5cm diameter each, and a rectangle of the length pi*diameter and 2cm, so lets add them:
total = 2circles + rectangle
total = 2(2*pi*(5/2)^2) + pi*diameter*heigth
= 4*pi*(2.5)^2 + pi*5*2
= 109.9
that is the surface area of a bar soap 109.9 cm^2
Answer:

Step-by-step explanation:
Start by noticing that the angle
is on the 4th quadrant (between
and
. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:

Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:

The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle 
which renders for the cosine function the value
.
Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: 
Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is: 
Answer:
Step-by-step explanation:
8 1/2 inches =
inches
To fit on shelves, the package must not be more than 8 1/2 inches tall, it means the height of the package can be at
inches
The box must be able to hold 100 cubic units of crackers. it means the volume of the box is 100 cubic units.
The base of the package to be squared
And we have the formula:
V = h*S (Area of the base)
=> S = V/h = 100 :
=
=> the side of square:
The dimensions for Jason's design are:
The height:
inches
The length and width: 
Answer:
4 inches
Step-by-step explanation:
The computation of the scale that should be required to reproduced that fitted on the brochure is
Given that
Length of rectangular park = 4 inches
And the Breadth of rectangular park = 6 inches
As we know that
Area of rectangular park = length × breadth
= 4×6
= 24 square inches
Now the scale that required to reproduced is
= 24 ÷ 6
= 4 inches
Answer:
Cole can play only 15 games if he has $35 to spend at the park
Step-by-step explanation:
The sum of money Cole has with him as he goes to the park is $35.
As he goes to the park, 12.5 dollars is taken from him at the gate, leaving him with only $35 - $12.5 = $22.5
He now has only $22.5 to play games.
If each game costs $1.5 then he will be able to play
games = 15 games only.
Hence, Cole will be only able to play 15 games if he goes to the park with $35