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irga5000 [103]
3 years ago
11

Tyler finds a rock in the shape of a triangular pyramid. The dimensions of the rock are shown. A triangular pyramid. The base ha

s a base of 8.5 inches and a height of 4 inches. The height of the pyramid is 12 inches. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the volume of the rock in cubic inches? V = one-third (8.5) (12) V = one-third (4) (12) V = one-third (34) (12) V = one-third (17) (12)
Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

Volume of the rock=V=\frac{1}{3} (17)(12)

Step-by-step explanation:

Volume of triangular pyramid = \frac{1}{3} BH

Where B is the area of base

H is the height of pyramid

Length if base of base triangle = 8.5 inches

Height of base = 4 inches

Area of base triangle = \frac{1}{2} \times base \times height = \frac{1}{2} \times 8.5 \times 4=17 inches^2

Height of pyramid = 12 inches

Volume of triangular pyramid = \frac{1}{3} BH=\frac{1}{3} (17)(12)

So, option D is true

Volume of the rock=V=\frac{1}{3} (17)(12)

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The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

<h3>What is an equation?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Maximum capacity for the warehouse = 50,000 units

Pre-orders = 20,000 units

Number of units produced per week = 3000 units

Number of orders per week = 1500 units

The number of weeks to fill the warehouse to its maximum capacity:

We can make an equation as:

3000M - 1500M - 20,000 = 50,000 ____(1)

M = number of weeks

From (1) we get,

M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)

1500M - 20,000 = 50,000

1500M = 50,000 + 20,000

1500M = 70,000

M = 46.66 weeks

M = 47 weeks

We can also see that,

From (2),

M ( 3000 - 1500 ) - 20,000

47 x 1500 - 20,000

70,500 - 20,000

50,500

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The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

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1 year ago
Joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will jo
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Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

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2 years ago
Convert: 25 pints (liquid) to liters. <br> 1.183 <br> 11.83 <br> 118.3 <br> 1,183
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In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:
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The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

  1. Length of the <em>major</em> semiaxis (a).
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And there is the following relationship:

c = \sqrt{a^{2}-b^{2}} (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (e), which is defined by the following formula:

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2 years ago
Solve the formula for the indicated variable.<br> T(r+s)=rs, for r<br> (Simplify your answer.)
yaroslaw [1]

Answer:

R = \frac{-TS}{(T-S)}

Step-by-step explanation:

First, distribute all terms

T(R+S) =RS\\TR + TS =RS

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Factor out the R

R(T-S)=-TS

Divide by (T-S) to isolate R

R = \frac{-TS}{(T-S)}

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