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postnew [5]
2 years ago
12

Estimate 19.75+2.49 by first rounding each number to the nearest tenth.

Mathematics
1 answer:
Arturiano [62]2 years ago
4 0

Answer:

22.3

Step-by-step explanation:

Rounding each number to the nearest tenth means that you're rounding a number up by one decimal place.

19.75 will become 19.8

2.49 will become 2.5

19.8 + 2.5 = 22.3

Good luck!

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A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5
MrRissso [65]

Answer:

19.7 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  If the diameter is given, then the formula is C = πd.

Here C = 62 in.  Dividing both sides by π yields the diameter:  d = C/π:

       62 in

d = ----------- = 19.7 inches

        3.14

5 0
3 years ago
Read 2 more answers
Use the general slicing method to find the volume of the following solids. The solid whose base is the region bounded by the cur
Y_Kistochka [10]

Answer:

The volume is V=\frac{64}{15}

Step-by-step explanation:

The General Slicing Method is given by

<em>Suppose a solid object extends from x = a to x = b and the cross section of the solid perpendicular to the x-axis has an area given by a function A that is integrable on [a, b]. The volume of the solid is</em>

V=\int\limits^b_a {A(x)} \, dx

Because a typical cross section perpendicular to the x-axis is a square disk (according with the graph below), the area of a cross section is

The key observation is that the width is the distance between the upper bounding curve y = 2 - x^2 and the lower bounding curve y = x^2

The width of each square is given by

w=(2-x^2)-x^2=2-2x^2

This means that the area of the square cross section at the point x is

A(x)=(2-2x^2)^2

The intersection points of the two bounding curves satisfy 2 - x^2=x^2, which has solutions x = ±1.

2-x^2=x^2\\-2x^2=-2\\\frac{-2x^2}{-2}=\frac{-2}{-2}\\x^2=1\\\\x=\sqrt{1},\:x=-\sqrt{1}

Therefore, the cross sections lie between x = -1 and x = 1. Integrating the cross-sectional areas, the volume of the solid is

V=\int\limits^{1}_{-1} {(2-2x^2)^2} \, dx\\\\V=\int _{-1}^14-8x^2+4x^4dx\\\\V=\int _{-1}^14dx-\int _{-1}^18x^2dx+\int _{-1}^14x^4dx\\\\V=\left[4x\right]^1_{-1}-8\left[\frac{x^3}{3}\right]^1_{-1}+4\left[\frac{x^5}{5}\right]^1_{-1}\\\\V=8-\frac{16}{3}+\frac{8}{5}\\\\V=\frac{64}{15}

5 0
3 years ago
5. The volume of a rectangular prism is 2058 cm3. The length is three times
Stells [14]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
You walk 1.5miles in a half an hour. What is your average speed?
katovenus [111]

Answer:

1/10 th of a mile every minute

3 0
3 years ago
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Troy had 44 celery sticks on a tray for his party. He put peanut butter on 25% of the celery sticks. How many celery sticks on t
GarryVolchara [31]
Hello!

We know that any given percentage can be expressed as a fraction with a denominator of 100, as follows:

\frac{x}{100}

Because we want to find 25% of the celery sticks, we can convert this percentage into the following fraction:

\frac{25}{100} = \frac{1}{4}

Now multiply this reduced fraction by the number of celery sticks:

44 × \frac{1}{4} = \frac{44}{4}

The fraction \frac{44}{4} can be reduced to a value of 11. We have now proven that 11 celery sticks received peanut butter.

I hope this helps!
6 0
3 years ago
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