a^-2 = 1/100
Answer:
a = 10 or a = -10
Step-by-step explanation:
a^-2 = 1/100
We know 100 = 10^2
a^-2 = 1/10^2
We know 1/b^c = b^-c
1/a^2 = 1/ 10^2
Multiply by a^2 on each side
a^2 *1/a^2 = 1/ 10^2 *a^2
1 = a^2/10^2
Multiply by 10^2 on each side
1 0^2= a^2/10^2 * 10^2
10^2 = a^2
Take the square root of each side
sqrt(10^2) = sqrt(a^2)
±10 =a
Answer:
True
Step-by-step explanation:
Given: Statement :"The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units"
We have to choose whether the given statement s true or false.
Consider the given statement.
The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units
We first find the area of circle with 14 units radius and area of a sphere with 7 units radius and compare the two values.
We know,
Area of circle =
given : r = 14 units
So, Area of circle =
Simplify, we have,
Area of circle = units²
Now,
Area of sphere =
given : r = 7 units
So, Area of sphere =
Simplify, we have,
Area of sphere = units²
Since, Area of circle with radius 14 units is equal to the area of sphere with radius 7 units.
Thus, The given statement is true.
Answer:
75
Step-by-step explanation:
x is the exterior angle of triangle BDH, meaning that the if you add up the other two angles of triangle BDH, which are the opposite interior angles of angle x, you will get x, which is 75.
If you want to visualize the exterior angle theory, you can look at an example in the picture in this post.
Hope this answer helps you, and was deserving of a Brainiest answer. :)