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Murljashka [212]
2 years ago
11

What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of

Mathematics
2 answers:
Zepler [3.9K]2 years ago
5 0

Answer:

180cm^3

Step-by-step explanation:

All you have to do is multiply everything together to get the volume. l x w x h

ArbitrLikvidat [17]2 years ago
3 0

Answer:

The answer is 180 cubic centimeters.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).

Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.

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If an angle is three times of its supplement, find the angle​
zavuch27 [327]

Answer:

<h2>135° angle</h2>

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

5 0
3 years ago
A manufacturer has been selling 1000 flat-screen TVs a week at $500 each. A market survey indicates that for A manufacturer has
luda_lava [24]

Answer:

a) Demand function: q=6000-10\cdot p

b) The rebate should be of $200, so the sale price becomes $300 per unit.

c) The rebate should be of $150, so the sale price becomes $350 per unit.

Step-by-step explanation:

a) In this case, we have a known point of the demand function (1000 units sold at $500), and the slope of a linear function (increase by 100 units fora decrease in $10).

We can express the demand function (linear) as:

q=b+m\cdot p

To calculate the slope m, we use:

m=\Delta q/\Delta p=(+100)/(-10)=-10

To calculate b, we use the known point and the calculated slope:

q=b+m\cdot p\\\\b=q-m\cdot p=1000-(-10)\cdot (500)=1000+5000=6000

Then the demand function is:

q=6000-10\cdot p

b) The revenue can be expressed as:

R=q\cdot p = (6000-10p)\cdot p=6000p-10p^2

To maximize, we can derive and equal to zero

dR/dp=6000-2*10p=0\\\\20p=6000\\\\p=300

The rebate should be of $200, so the sale price becomes $300 per unit.

c) If we take into account the cost, we have that

R=q\cdot p-C=(6000p-10p^2)-(68000+100q)\\\\R=(6000p-10p^2)-(68000+100(6000-10p))\\\\R=6000p-10p^2-(68000+600000-1000p)\\\\R=-10p^2+7000p-668000

To maximize, we can derive and equal to zero

dR/dp=-20p+7000=0\\\\p=7000/20=350

The rebate should be of $150, so the sale price becomes $350 per unit.

5 0
3 years ago
(1,10), (18.-10) slope
kobusy [5.1K]

Answer:

I think the slope is -20/17 hope this helps

8 0
3 years ago
A zookeeper feeds three bales of hay each to 4 elephants, 6 bales of hay to each of 10 pens of reindeer, 2 bales of hay to each
snow_lady [41]

Answer:

$105

Step-by-step explanation:

3x5=15

6x5= 30

2x5=10

4x5=20

6x5=30

15+30+10+20+30

=$105

5 0
3 years ago
The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of
goblinko [34]

Approximately 2 gallons will be needed if each gallon of stain and  the project will cost be $73.96 if  each gallon costs $36.98

<h3>How to find the area of a triangle</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is  150 square feet

Number of gallons needed  = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons  = 36.98 * 2

Cost of the two gallons  = $73.96

Hence the project will cost be $73.96 if  each gallon costs $36.98

Learn more on area of a triangle here: brainly.com/question/23945265

8 0
1 year ago
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