Since x=x, this is an isosceles right triangle. By the Pythagorean Theorem:
h^2=a^2+b^2 (the hypotenuse squared is equal to the sum of the squared sides)
5^2=x^2+x^2
25=2x^2
2x^2=25
x^2=25/2
x=√(25/2)
x=5/√2 now if we rationalize the denominator...
x=(5√2)/(√2√2)
x=(5√2)/2
Answer:
distance is 5 units
Step-by-step explanation:
plug in values
Answer:
250π
1000π
Step-by-step explanation:
(refer to attached)
volume of cylinder is given by:
V = π r²h,
where r = radius of base and h = height of cylinder
Given r = 5 and h = 10, hence
V = π r²h
V = π (5)²(10)
V = π (25) (10)
V = 250π (answer)
For the second case, r = 10 cm
V = π r²h
V = π (10)²(10)
V = π (100) (10)
V = 1000π (answer)
We just need to extrapolate the information we have about 25 apples to 100, that is we need to find a number that multiplied by gives us 100, from this original fraction, hence, we have:
2 out of 25 = 2/25
if we multiply and divide a number or fraction by the same number we do not alter its value, so we need to convert the 25 into 100, and that can be done multiplying it by 4, like so:
(2/25)(4/4) = (2*4)/(25*4) = 8/100
So if we have 2 bruised apples out of 25, then we can expect to have 8 bruised apples out of 100
Answer:
450 cm
Step-by-step explanation:
12 degrees is 1/30 of the circumference because there are 360 degrees in a circle.
The minor arc length of 15 is in the same ratio to the circumference as the 2 angles , so the circumference = 30 * 15 - 450 cm.
