Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
For , put "" for every value of "".
Answer:
<h2>Center: (3, 0)</h2><h2>Radius: 2√2</h2>
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the equation:
Therefore
the center:
the radius:
Answer:
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
A Translation is defined as a transformation in which the figure is moved a fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.
In this case you know that the Pre-Image is the Triangle FGH.
You can identify in the picture that its vertex H has these coordinates:
Where:
Since the rule is:
→
You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
To find x subtract the sum of the 2 given angles from 180, that is
x = 180° - (32 + 52)° = 180° - 84° = 96°
-------------------------------------------------------
x and y form a straight angle, hence
y = 180 - x = 180° - 96° = 84°
------------------------------------------------------
To find z subtract the sum of the 2 angles from 180
z = 180° - (55 + y)° = 180° - (55 + 84)° = 180° - 139° = 41°
--------------------------------------------------------
x = 96°, y = 84°, z = 41° → A