Answer:
8x-14=8x-14
Step-by-step explanation:
So if both the equations are the same, that means that any value of x put in the equation will equal itself, so that means that there are infinite solutions to the equation
If you try to solve this equation, this happens
8x-14=8x-14
add 14 to both sides
8x=8x
divide by 8 both sides
x=x
This means that there are infinite solutions because any number could be x and it would still work
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
Answer:
a. 60
b. -32
c. 3598
d. -6
Step-by-step explanation:
all you have to do is plug in the numbers that are given to you for the missing variables and then solve it regularly.
6×7+2×3
5×(-18)÷3-2
(6×10)^2-10÷5
(1-3)(1+2)
ABD: 22
DBC: 109
they are congruent angles
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12
