Answer:
The answer is below
Step-by-step explanation:
Transformation s the movement of a point from its initial location to a new location. If an object is transformed, the all its points are also transformed. Types of transformation are rotation, reflection, translation and dilation.
Two shapes are congruet if they have the same shape and size, two objects are congruent if they can be moved without changing their shape or size. Congruent transformations are transformation that create congruent objects. The three types are:
- Translation: sliding an object either up, down, left or right.
- Reflection: Flipping an object over a line
- Rotation: turning an object about a point
Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula,
-
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Answer:
y = 8
Step-by-step explanation:
11y + 4y + 60 = 180
11y + 4y = 120
15y = 120
y = 8
Answer:
C. 5
Step-by-step explanation:
first expression 5 × (9-3) = 30
second one 45 - 3x
to make it 30 = 30
x should be = 5
Answer:
B
Step-by-step explanation: