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Margaret [11]
3 years ago
5

A board game has dice shaped like octahedrons. Each edge of the dice has length 2 cm, and h = 2√2 cm. What is the volume of each

die? Round to the nearest hundredth.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

3.73cm³

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes, a octahedrons

Step two

We know that the volume expression for octahedrons is given as

Volume = √2/3(a)³

Given data

a= 2cm

Substituting our given data we have

V= √2/3(2)³

V= √2/3*8

V= 1.41/3*8

V= 0.47*8

V= 3.73cm³

The volume is 3.76cm³

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Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f
daser333 [38]

Answer:

A. f(x) = 10x + 8

Step-by-step explanation:

The equation in slope-intercept form, f(x) = mx + b, can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10

Find b, by substituting x = 1, f(x) = 18, and m = 10 into f(x) = mx + b.

18 = (10)(1) + b

18 = 10 + b

Subtract 10 from each side

18 - 10 = b

8 = b

b = 8

Substitute m = 10 and b = 8 into f(x) = mx + b.

✅Thus, the linear function that can be used to find Jack's pay would be:

f(x) = 10x + 8

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3 years ago
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hram777 [196]

Answer:

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Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

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Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

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