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3 years ago

What is the eighth multiple of 12

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

The eighth multiple of 12 is 96

mylen [45]3 years ago

3 0

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

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A homeowner plans to enclose a 200 square foot rectangular playground in his garden, with one side along the boundary of his pro

tigry1 [53]

Answer:

The dimensions are 50 and 100 square foot

Step-by-step explanation:

Let x = length of fenced side parallel to the side that borders the playground

y = length of each of the other two fenced sides

Then, x + 2y = 200

<=> x = 200-2y

The Area = xy = y(200-2y)

The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.

The graph of the area function is a parabola opening downward.

The maximum area occurs when y = -200/[2(-2)] = 50

=> x = 100

So the dimensions are 50 and 100 square foot

6 0

4 years ago

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by

Darina [25.2K]

Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

Purchase cost of land in 1970 = $25,000

Application rate = 4% per year

Find:

Price of land in 2000

Computation:

Number of year = 2000 - 1970 = 30 year

Future value of land = [Purchase cost of land][1+Application rate]ⁿ

F = P[1+r]ⁿ

Future value of land = 25,000[1+4%]³⁰

Future value of land = 25,000[1+0.04]³⁰

Future value of land = 25,000[1.04]³⁰

Future value of land = 25,000[3.24339]

Future value of land = 81,084.75

Future value of land = $81,084 (Approx.)

5 0

3 years ago

The perimeter of a rectangle is 24 meters and it’s length is 3 times the width. What is the length and width of the rectangle

kolezko [41]

Length is 9meters and width is 3 meters

steps:
let's assume width of a rectangle = a meters
than length of the rectangle = 3*a= 3a
perimeter = 24 meters
formula to find perimeter: p = 2(l+w)
substitute the values of in the formula
24 = 2 (3a+a)
24 = 2(4a)
24 = 8a
24/8= a
3= a
a is width of the rectangle = 3 meters
length of the rectangle = 3* a = 3*3= 9 meters
hence and is length 9 meters and width 3 meters

3 0

3 years ago

Find the angle between the given vectors to the nearest tenth of a degree.

pochemuha

$\bf \textit{angle between two vectors }\\ \quad \\
cos(\theta)=\cfrac{u \cdot v}{||u||\ ||v||} \implies \cfrac{\text{dot product}}{\text{product of magnitudes}}\\ \quad \\\\
\theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||\ ||v||}\right)\\\\
-----------------------------\\\\
\theta=cos^{-1}\left[ \cfrac{\ \textless \ 8,4\ \textgreater \ \quad \cdot \quad \ \textless \ 9,-9\ \textgreater \ }{(\sqrt{8^2+4^2})(\sqrt{9^2+(-9)^2})} \right]$

$\bf \theta=cos^{-1}\left[ \cfrac{(8\cdot 9)+(4\cdot -9)}{(\sqrt{64+16})(\sqrt{81+81})} \right]\implies \theta=cos^{-1}\left[ \cfrac{36}{(\sqrt{80})(\sqrt{162})} \right]
\\\\\\
\theta=cos^{-1}\left[ \cfrac{36}{(\sqrt{80})(\sqrt{162})} \right]\implies 
\theta=cos^{-1}\left[ \cfrac{36}{\sqrt{12960}}\right]
\\\\\\
\theta=cos^{-1}\left[ \cfrac{36}{36\sqrt{10}}\right]\implies \theta\approx 71.565^o$

6 0

4 years ago

Read 2 more answers

The number of bacteria at the beginning of an experiment was 30 and the bacteria

faust18 [17]

Answer: what is the question and answer choices

Step-by-step explanation:

5 0

3 years ago

What is the eighth multiple of 12​

What is the eighth multiple of 12