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3 years ago

Henry is 133 centimeters tall. His height in meters is

Mathematics

2 answers:

ale4655 [162]3 years ago

8 0

Answer:

1.33 meters

Step-by-step explanation:

slega [8]3 years ago

5 0

Answer:

1.33 meters

Step-by-step explanation:

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago

A 15.0 cm long cylindrical glass tube, sealed at one end, is filled with ethanol. The mass of ethanol needed to fill the tube is

djverab [1.8K]

The volume of the ethanol inside the tube can be obtained by dividing the mass of ethanol by the density. The volume is equal to 15.03 ml or 15.03 cm3. The volume of the tube is equal to pi d^2/4 * h where h is 15 cm. From this formula, the diameter is equal to 1.13 cm.

4 0

4 years ago

Someone help me... please show work

frutty [35]

Answer:

x=5

Step-by-step explanation:

Set the 2 equations equal to each other and solve for x.

11x-28=7x-8

add 28 to both sides (-8+28=20)

11x=7x+20

subtract 7x from both sides (11x-7x=4x)

4x=20

divide both sides by 4 to isolate x (20/4=5)

x=5

7 0

4 years ago

Mika earns $25 for every 3 hrs of work. Calder earns $15 for every 2 hrs of work. If Calder works long enough to earn the same a

asambeis [7]

Calder would have to work 10 hours to equal the same amount Mika has from 9 hours of work

Here's how:
Since Mika works 9 hours and she gets 25 per 3 hours, to get her amount for 9 hours, you times 25 by 3 which is 75

Now you need to set up a equation
To make it easier. you can divide 15 by 2, which is 7.5, to get a unit rate
After that you can set up your equation
7.5x=75
x=10
Hope this helps:)

6 0

3 years ago

What is the correct answer for this equation here?<br>3(4x – 7) = 135

S_A_V [24]

Answer:

x=13

Step-by-step explanation:

1. divide both sides by 3

2. simplify: 4x-7=45

3. add 7 to both sides

4. 4x=52

5. divide both sides by 4

6. x=13

7 0

4 years ago