Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).
Answer:
The vertical distance from the top of the slide go the ground is 24.25 feet
Step-by-step explanation:
Here, we want to calculate the vertical distance from the top of the slide to the ground.
To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;
Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle
The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse
So the trigonometric ratio we are to use will consider the opposite and the hypotenuse
This is the sine
Mathematically sine of an angle = length of the opposite/length of the hypotenuse
let’s call the length of the opposite x
sin 60 = x/28
x = 28 sin 60
x = 24.248 which is 24.25 feet
The answer is 12. This seems like a calculator job
Answer:
density =8.87g/cm³
From chart the density shows that it is a Colsibro copper alloy, a precipitation hardening copper nickel silicon.
Step-by-step explanation:
This problem bothers on the density of substances
Given data
Mass m of substance = 239.6grams
length l=3cm
width b=3cm
height h=3cm
Volume of substance =l*b*h
=3*3*3=27cm³
We know that the density of the substance ρ=mass/volume
ρ= 239.6/27= 8.87g/cm³