Jake Winters plans to invest $7,400.

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

worty [1.4K]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0

2 years ago

Write 2.3181818 as a mixed number

Marina CMI [18]

We convert 2.3181818 to fraction as follows:

Let x = 2.3181818 . . . . . (1)

as can be seen, the repeating digits are 18

Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)

Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)

Subtract equation (3) from equation (2) to get
990x = 2,295

Thus,
$x= \frac{2,295}{990} =2 \frac{7}{22}$

5 0

2 years ago

-1/3 = j/4 - 10/3<br> what is j

lesantik [10]

Answer:

j=12

Step-by-step explanation:

Question: <u>j/4-10/3=-1/3</u>

1) Add 10/3 to both sides:

j/4=3

2) Multiply both sides by 4:

j=12

6 0

2 years ago

mr. daniels has 1 2/3 acres of land in which he plans to fertilize. if each bag of fertilizer covers 1/9 of an acre and he bough

creativ13 [48]

Area of land that Mr. Daniel has = $1 \frac{2}{3} = \frac{1*3 + 2}{3} = \frac{5}{3}$ Acres.

One Bag of fertilizer cover $\frac{1}{9}$ Acres area.

So area covered by 20 bag of fertilizer will = $20 * \frac{1}{9} = \frac{20}{9}$ Acres.

But Mr. daniel has only $\frac{5}{3}$ Acres area.

So we can say left over area covered by 20 bags = $\frac{20}{9} - \frac{5}{3}$
$= \frac{20 - 15}{9} = \frac{5}{9}$

So the left over area covered by 20 bags = $\frac{5}{9}$ Acres.

We know one bag covered $\frac{1}{9}$ acres area.

So number of left over bags = $\frac{ \frac{5}{9} }{ \frac{1}{9} } = \frac{5*9}{1*9} = 5$

So we can say number of left over fertilizer bags are = 5

3 0

2 years ago

A price was increasing at a rate of 15% per year.

alexgriva [62]

The monthly growth rate is the annual growth rate divided by 12, because there are 12 months in a year.

monthly rate = 15% ÷ 12
monthly rate = 15/100 ÷ 12
monthly rate = 15/100 × 1/12
monthly rate = 15/1,200
monthly rate = 1.25/100
monthly rate = 1.25%

The monthly growth rate is 1.25% or approximately 1.3%
Enter 1.3 in the box

5 0

2 years ago

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