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mario62 [17]
3 years ago
10

The net of a square pyramid is shown: A square is shown having each side equal to 0.25 inch. Each side of the square has a trian

gle on it. The height of the triangle is labeled as 1.2 inches. What is the surface area of the figure?
Mathematics
2 answers:
Molodets [167]3 years ago
7 0

Answer:

0.6625

Step-by-step explanation:

To find the surface area, calculate the area of each shape and add it together, A pyramid has 1 square and 4 triangles in its net,

Area of square is A=s*s=0.25*0.25=0.0625.

Area of a triangle is A= 1/2 b*h = 1/2 (0.25)(1.2) = 0.15.

There are four equal triangles so together there area is 4*0.15 = 0.60.

Add the square to it and you have the surface area of the pyramid.

0.0625 + 0.60 = 0.6625


Y_Kistochka [10]3 years ago
7 0

Answer:

0.6625

Step-by-step explanation:

Hope This Helped

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On a numbered cube what is the probability that you will roll an odd number twice in a row
Dafna1 [17]

Answer:

The probability of rolling a specific number twice in a row is indeed 1/36

Step-by-step explanation:

because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6)

7 0
3 years ago
Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He ha
pashok25 [27]

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.  

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches,  let's simplify that as 1000  π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

S = \frac{1000 \pi }{72 \pi } = 13.88

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

S = \frac{1000 \pi }{200 \pi } = 5

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

3 0
4 years ago
A scale drawing of a school cafeteria has a width of 6 inches and a length of 9 inches. The scale of the drawing represents 0.5
Gekata [30.6K]

Answer:48\times 72\ ft^2

Step-by-step explanation:

Given

Width of school cafeteria W=6\ in.

Length of Cafeteria L=9\ in.

Scale of drawing represent 0.5\ in.\ as\ 4\ Ft

1\ in.\ as\ 8\ ft

So actual length and width of drawing

L_{actual}=6\times 8=48\ ft

W_{actual}=9\times 8=72\ ft

3 0
3 years ago
Please i need help on finding the volume
SpyIntel [72]

Answer:

Volume =  516.1425 cubic feet

Step-by-step explanation:

The pentagon base appears regular.  so every side is 10 feet in length.

Now we need to figure out the area of the pentagonal base in order to find volume.

Volume V = (pentagon base area)*height

I need to find the apothem length as indicated in the drawing.

call it "a"

360/5 =  72 degrees.

36 degrees.

5/a = tan 36 ,    a =  5/(tan 36) = 6.88190  feet.

Area of pentagon base =  5 *  (1/2)*10* a  =  5*(1/2)*10* 6.88190 =172.0475 sq. ft

Area of pentagon base =  =172.0475 sq. ft

V = 172.0475 * 3 = 516.1425 cubic feet

3 0
3 years ago
In ΔMQN, m b. Find the measure of <2. Show all work.
Tanzania [10]

Answer:

Answer:

131°

Step-by-step explanation:

Since KNJ is a straight line,

∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)

(8x -5)° +(4x -19)°= 180°

Simplify:

12x -24= 180

+24 on both sides:

12x= 180 +24

12x= 204

Divide both sides by 12:

x= 204 ÷12

x= 17

∡KNM

= (8x -5)°

= [8(17) -5]°

= (136 -5)°

= 131°

6 0
3 years ago
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