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Gnoma [55]
3 years ago
11

Help me with this question, please!

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

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An architect designed this scale model of a warehouse for a building contractor.
Annette [7]

tl;dr Answer is C

Here we will have to calculate 3 different areas separately.

When calculating the area of the triangle we will use the formula

A = (h*b)/2  

A = Area

h = height

b = base

To find the height we do X - Z  

23 - 15 = 8 ft

To find the base we do Y - W

19 - 13 = 6 ft

Using the formula above we can now solve for A  

A = (8*6)/2

A = (48)/2

A = 24 sq ft

Now we solve the two rectangles using the formula  

A = wl

w = width

l = length

We will calculate the area of the left most rectangle first.

We know the length of the rectangle because it's Y - W and we are given the width of the triangle.

w = 15 ft

l = 6 ft

A = 15*6

A = 90 sq ft

Second Rectangle has the width of X and length of W

w = 23 ft

l = 13 ft

A = 23 * 13

A = 299 sq ft

Now we add all the areas to give us the total area of the warehouse.

24 + 90 + 299 = 413 sq ft

Therefore, the answer is C

5 0
3 years ago
What is radius???????
xz_007 [3.2K]

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.

Solve for the radius.

Plug the area into the formula.

Divide the area by.

Take the square root.

8 0
3 years ago
The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product betw
Wewaii [24]

Answer:

The probability of assembling the product between 7 to 9 minutes is 0.50.

Step-by-step explanation:

Let <em>X</em> = assembling time for a product.

Since the random variable is defined for time interval the variable <em>X</em> is continuously distributed.

It is provided that the random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 6 minutes and <em>b</em> = 10 minutes.

The probability density function of a continuous Uniform distribution is:

f_{X}(x)=\left \{ {{\frac{1}{b-a};\ a

Compute the probability of assembling the product between 7 to 9 minutes as follows:

P(7

                      =\frac{1}{4}\times \int\limits^{9}_{7}{1}\, dx

                      =\frac{1}{4}\times [x]^{9}_{7}\\

                      =\frac{1}{4}\times (9-7)\\

                      =\frac{1}{2}\\=0.50

Thus, the probability of assembling the product between 7 to 9 minutes is 0.50.

5 0
4 years ago
How do I find the perimeter of a triangle with sides 3ft 8in., 2ft 10in., and 4 ft?
Dmitriy789 [7]
Formula for triangle perimeter is: a + b + c. In this scenario we have:

a = 3 feet 8 inches
b = 2 feet 10 inches
c = 4 feet

a + b + c =
= 3 ft + 8 in + 2 ft + 10 in + 4 ft =
= 9 ft + 18 in

We know that 1 foot is 12 inches, so we can simplify the result to this form:

10 ft + 6 in

or:

<u>10.5 feet</u>
4 0
3 years ago
A recent census listed the population of a city as 831,982.Marisol rounds the population to 83000 and lindy rounds the populatio
lbvjy [14]
In this question, lindy rounds the population correctly.
The numbers 831,982 and 800000 are both six- digit numbers. But 83000 is a five- digit number.
And 831,982 rounded to nearest lakh is 800000.
4 0
3 years ago
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