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Juliette [100K]
3 years ago
14

Mr. Stanford’s greenhouse has the dimensions shown. The volume of the greenhouse is 90 cubic yards. Find the missing dimension o

f the greenhouse.

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

h=10\ yd

Step-by-step explanation:

we know that

The volume of the triangular prism of the figure is equal to

V=Bh

where

B is the area of the triangular base

h is the height of the triangular prism

Find the value of B

B=\frac{1}{2}(6)(3)=9\ yd^{2}

we have that

V=90\ yd^{3}

substitute the values and solve for h

90=9h

h=90/9=10\ yd

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A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

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7 0
1 year ago
Given: ABCD is a parallelogram and AC bisects BD.<br> Prove: AB is congruent to BC.
earnstyle [38]

Let's see

In ∆ABE and ∆CBE

  • BE=BE(Common side)
  • AE=EC[Diagonals of a parallelogram bisect each other]
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So by

SAS congruence the triangles are congruent

AB=BC

  • Proved

Fact:-

It's already given AC is perpendicular to BD

  • It means diagonals are perpendicular to each other

According to general property of rhombus this parallelogram is also a rhombus.

So sides are equal hence AB =BC

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Ariana starts with 100 mg of a radioactive substance. The amount of the substance decreases by 20% each week for a number of wee
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3 years ago
the family fine arts center charges $24 per adult and $12 per senior citizen for its performances. on a recent weekend evening w
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337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

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y = the number of senior tickets sold

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by solving the system of equations

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24x + 12y = 7548....(2)

From equation (1), we get

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Now, we put the value of x in equation (2) and we get

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x = 483 - 337

x = 146

Hence, 337 were senior citizens.

To learn more about the system of equations from the given link

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