Step-by-step explanation:
the lateral area of the cone is, well, the lateral area.
the total surface area of the cone is the lateral area plus the area of base circle.
so, the difference between both is the area of the base circle :
120pi - 70pi = 50pi
the area of a circle is
pi×radius²
and that is in our case
pi×radius² = 50pi
radius² = 50
radius = sqrt(50) = 7.071067812... ≈ 7.1 units
therefore, C is the right answer.
Step-by-step explanation:
a.
(ax + b)² = 0
√( (ax + b)² )= √0
ax + b = 0
dont know the rest
Answer:
A. 7*5 + 4^2 - 2^3 / 4 = 35 + 16 - 8 / 4 = 35 + 16 - 2 = 49
B. The statement of seven times five plus four squared minus 2 cubed divided by 4 is equal to 49. (or whatever your friend's teacher wants when they ask for a complete sentence).
C. PEMDAS - parentheses, exponents, multiplication, division, addition, subtraction
Note:
When remembering PEMDAS, please remember that multiplication actually isn't prioritized over division - they should be performed "simultaneously" from left to right. Same with addition and subtraction. The order is: P -> E -> MD -> AS.
Answer:
no, y=3x+3
Step-by-step explanation:
plug both points into the equations:
- 9=4*2 +6 -> 9=8+6, doesn't work
- -6=4(-3)+6 -> -6=-6, works
one works but the other doesn't so now we find a line through both points
use the formula (y_2-y_1)/(x_2-x_1) to find the slope:
y=3x+b, plug in a point to find b:
Answer:
<h2>
PR' = 12units</h2>
Step-by-step explanation:
When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.
<u>If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image. </u>
Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.
According to the diagram, side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR
PR' = 4 * PR
PR' = 4*3
PR' = 12units
