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padilas [110]
2 years ago
6

Mr. Jones has a cylindrical water storage

Mathematics
1 answer:
meriva2 years ago
8 0

Answer:

254.47sqft (square feet) of paint

Step-by-step explanation:

The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.

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cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})\\\\
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\cfrac{\frac{1}{cos(x)}sin(x)+[cos(\pi )cos(x)+sin(\pi )sin(x)]}{1+\frac{1}{cos(x)}}
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\cfrac{\frac{sin(x)}{cos(x)}+[-1\cdot cos(x)+0\cdot sin(x)]}{\frac{cos(x)+1}{cos(x)}}

\bf \cfrac{\frac{sin(x)}{cos(x)}+[-cos(x)]}{\frac{cos(x)+1}{cos(x)}}\implies \cfrac{\frac{sin(x)-cos^2(x)}{cos(x)}}{\frac{cos(x)+1}{cos(x)}}
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\cfrac{sin(x)-cos^2(x)}{cos(x)}\cdot \cfrac{cos(x)}{cos(x)+1}\implies \cfrac{sin(x)-cos^2(x)}{cos(x)+1}

5 0
3 years ago
Is 10.3 an improper fraction? explain
Nady [450]
Thats a decimal. An improper fraction os when the numerator(number on the top) is larger than the denomenator(number on bottom)
7 0
3 years ago
there are 4 sections of seats I the playhouse theatre. each section has 7 groups of seats.each group has 25 seats. how many seat
Nady [450]
To find the number of seats, let's do it using multiplication!

First, to see how many seats are in one big section of the theatre, multiply 7 groups of seats by 25 seats:

7 x 25 = 175

Now, knowing this, multiply 175 by 4 to get the total number of seats in the theater!

175 x 4 = 700

Therefore, there are 700 seats in the theatre.

Hope this helps!
3 0
3 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by
a_sh-v [17]

Answer:

Dimension of the box is 16.1\times 7.1\times 2.45

The volume of the box is 280.05 in³.

Step-by-step explanation:          

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is L=21-2h

The width of the box is W=12-2h

The volume of the box is V=L\times W\times H

V=(21-2h)\times (12-2h)\times h

V=(21-2h)\times (12h-2h^2)

V=252h-42h^2-24h^2+4h^3

V=4h^3-66h^2+252h

To maximize the volume we find derivative of volume and put it to zero.

V'=12h^2-132h+252

0=12h^2-132h+252

Solving by quadratic formula,

h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}

h=\frac{132\pm72.99}{24}

h=2.45,8.54

Now, substitute the value of h in the volume,

V=4h^3-66h^2+252h

When, h=2.45

V=4(2.45)^3-66(2.45)^2+252(2.45)

V\approx 280.05

When, h=8.54

V=4(8.54)^3-66(8.54)^2+252(8.54)

V\approx -170.06

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is L=21-2(2.45)=16.1

The width of the box is W=12-2(2.45)=7.1

So, Dimension of the box is 16.1\times 7.1\times 2.45

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3 years ago
What is the sum of all the integers between square root of 12 and 52? I need to know now pls!
Alexxx [7]

Answer: 7&8

Step-by-step explanation:

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3 years ago
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