Answer:
20
Step-by-step explanation:
This reads mathematically exactly how it is stated in words. The word "is" means =, the word "of" means multiply, and "what number" is x. Therefore, the equation from that looks like this: 16 = .80x. Don't forget that you cannot use a percent in an equation without first changing it to its decimal equivalency. Solve that for x by dividing both sides by .80 to get that x = 20
The answer is 95 degrees. the 50 degree angle is the same on the opposite side, so that means that angle ms is 35 degrees. 50 plus 35 is 85, subtract that from 180 and you have 95
Answer:
x = 4.56
Step-by-step explanation:
57 + x + 25x + x = 180
27x + 57 = 180
27x = 123
x = 4.56
Answer:
5
Step-by-step explanation:
The integers 5 and 5 sum to 10 and have the largest possible product.
___
The two numbers will be x and (10-x). Their product is x(10-x), which describes a downward-opening parabola with zeros at x=0 and x=10. The maximum (vertex) of that parabola is halfway between the zeros, at x=5. Both integers have the same value: 5. Their product is 25.
If there is a requirement the integers be distinct, then 6 and 4 are the integers of choice. Their product is 24.
To solve this, we are going to use the surface are of a sphere formula:
where
is the surface area of the sphere
is the radius of the sphere
We know for our problem that
and
, so lets replace those vales in our formula:
Now, we just need to solve our equation for
:
or
Since the radius of a sphere cannot be a negative number,
.
We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>
is
13 in.
