Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

Answer:

Step-by-step explanation:

Given is a table of x, f(x) as below

x 1 3 4 6 7 9 10

f(x) 4 8 6 10 10 12 16

Mid pt 6 7 8 10 11 14

width of

interval 2 1 2 1 2 1

dA1 12 7 16 10 22 14

area = area of all rectangles= 81 sq units.

You might be interested in

On a certain day, the temperature in Seattle was -5° and the temperature in Houston was 10°. How many degrees lower was the temp

yarga [219]

Answer:

15 degrees lower

Step-by-step explanation:

When you are trying to find the difference between a negative and positive number, add both numbers and you will get the difference. In this case it was 15.

Sorry, math isn't my strongest suit, but i hoped this helped!

8 0

3 years ago

A square piece of paper is folded in half vertically. The resulting figure has a perimeter of 21 in. What is the number of units

Rudiy27

Perimeter is adding all 4 sides together.

To find the length and width divide total perimeter by 2:

21 / 2 = 10.5

We now know the length of 1 side and the width of 1 side need to equal 10.5.

Since the original piece was a square we also know the width needs to equal 1/2 of the length.

So we have L + 1/2L = 10.5

Add the common terms 1 L + 1/2 L = 1 and 1/2 L

To Find L divide 10.5 by 1-1/2, which equals 7

To find the width subtract 7 from 10.5, which equals 3.5

So the paper is now 3.5 inches by 7 inches.

4 0

3 years ago

Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi

scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

$\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}$