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3 years ago

A box has dimensions of 2.6 cm x 3.5 cm x 5.1 cm. What is the volume of the box in cubic centimeters?

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

46.4 cm3

Step-by-step explanation:

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Washington Park is a grassy area bordered by three streets as pictured below.

Kipish [7]

Answer:100,000 square yards

Step-by-step explanation: 400*500=200,000/2= 100,000

4 0

4 years ago

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What is the area of a regular hexagon with a distance from its center to a vertex of 1 cm? (Hint: A regular hexagon can be divid

devlian [24]

<h3>Answer:</h3><h3>Exact area = $\frac{3}{2}\sqrt{3}$ square cm</h3><h3>Approximate area = 2.598 square cm</h3>

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Work Shown:

s = side length of equilateral triangle = 1 cm

A = area of equilateral triangle with side length 's'

$A = \frac{\sqrt{3}}{4}*s^2$

$A = \frac{\sqrt{3}}{4}*1^2$

$A = \frac{\sqrt{3}}{4}$

This is just one of the 6 equilateral triangles (see diagram below)

Multiply by 6 to get the area of all 6 equilateral triangles, or the entire hexagonal area

$6*A = 6*\frac{\sqrt{3}}{4}$

$6A = \frac{3\sqrt{3}}{2}$

$6A \approx 2.598$

4 0

3 years ago

Find the area of the region under the graph of f on [a, b].<br> f(x) = x2 − 8x + 17; [−1, 2]

Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

$A = \int\limits^a_b {f(x)} \, dx$

Applying to this question:

$A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx$

Then

$F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x$

$A = F(2) - F(-1)$

$F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}$

$F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}$

$A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42$

The area is 42 area units.

5 0

3 years ago

Please Help

e-lub [12.9K]

The general formula for the equation of the straight line is:
y−b=m(x−a) where
m is the slope
a is the x coordinate of the given point
b is the y coordinate of the given point

The slope is given as 2
x coordinate in the given point is 5
y coordinate of the given point is 9

Substitute with these values in the mentioned equation as follows:
y−9=2(x-5)

4 0

3 years ago

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What is the median of the following list of numbers:

elena-s [515]

Answer:

Step-by-step explanation:

4,5,9,2,104,5,9,2,10

first order in least to greatest

2,2,4,5,5,9,9,10,104

there are 9 numbers so we have to find the 5th

5 is the fifth number

hope this helped :)))

3 0

3 years ago

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