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2 years ago

5

Define a variable and write an inequality to model each situation. A light bulb can be no more than 75 watts to be safely used i

n this light fixture.

1 answer:

DaniilM [7]2 years ago

3 0

Let the number of watts =w ‘no more than’ means less than or equal to, thus we will use that sign. The inequality can be written as: w<75

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The volume of this regular pentagonal pyramid is 82.5 cubic meters. What is the height of the pyramid?

a_sh-v [17]

the height of the pentagonal pyramid is 5. 70 meters

<h3>Volume of a regular pentagonal pyramid</h3>

The formula for determining the volume of a regular pentagonal pyramid is given as;

V=5/12tan(54°)ha^2

Where

a is the base edge
h is the height

We have the volume to be;

volume = 82. 5 cubic centers

height = h

a = 5m

Substitute the values

$82. 5 = \frac{5}{12}$ × $tan 54$ × $h$ × $5^2$

$82. 5 = 0. 42$ × $1. 3764$ × $25$ × $h$

Make 'h' subject of formula

$h = \frac{82. 5}{14. 45}$

h = 5. 70 meters

The height of the pentagonal pyramid is 5. 70 meters

Thus, the height of the pentagonal pyramid is 5. 70 meters

Learn more about a pentagonal pyramid here:

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6 months ago

Zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. fiv

nadezda [96]

(750m) - 1050 = b

1800 - 1050 = 750 dollars lost.

So (750m) - 1050 = b will give you the balance.

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3 years ago

Which steps would you use to plot the point (7, −6, −5) in a 3-dimensional coordinate system starting from the origin?

I am Lyosha [343]

Answer:

B. move forward 7, left 6, and down 5

Step-by-step explanation:

By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.

so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.

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Nadusha1986 [10]

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2 years ago

Read 2 more answers

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Step-by-step explanation:

I took the test and these were the answers.

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