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MArishka [77]
3 years ago
10

PLS HELP SQDANCEFAN!!!!!!! Given: circle k(O), the measure of arcs PL=80°, PY=150°

Mathematics
1 answer:
nordsb [41]3 years ago
3 0

Answer:

∠P = 65°

Step-by-step explanation:

The measure of arcs LP and PY are given as 80° and 150°, so their sum is 230°. Arc LY completes the circle of 360°, so is 130°. Inscribed angle P is half that measure, so ...

∠P = 130°/2 = 65°.

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1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
I have attached a screenshot with the images of the two popcorn bags used by the theater.

Part (a):
Bag A:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 in
Bag B:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 in

Part (b):
To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²
Bag B:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²
From the above calculations, we can deduce that the theater should choose bag B in order to reduce the amount of paper needed.

Hope this helps :)



6 0
3 years ago
Solve for x*<br> 55°<br> x + 74<br> I<br> 54°
tiny-mole [99]

The Answer Is 180. :)

8 0
3 years ago
Help me please this is the last question I have to pass ‼️
Annette [7]
The answer is
2
Explanation
You have to do 2/3 x 3 and you do that by multiplying 2 and 3 (6/6)
Which if you split up is 3/3, 3/3 = 2
3 0
3 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Pani-rosa [81]

Answer:

x = 14.25

Step-by-step explanation:

Start with a^2 + b^2 = c^2

a = 11

b = x

c = 18

plug in and solve

11^2 + x^2 = 18^2

121 + x^2 = 324 - Simplify

x^2 = 203 - subtract 121 from both sides

x = 14.247 rounds to 14.25 - square root on both sides

7 0
3 years ago
2. Tessa used the computer every day. Her mother said Tessa could only use the
Vlada [557]

Answer:

3/4 of an hour

Step-by-step explanation:

To find the leftover time, subtract the total allotted time by the time used.

First make sure they have common denominators.

1 1/2 = 3/2 = 6/4

6/4 - 3/4 = 3/4

Tessa has 3/4 of an hour left.

7 0
3 years ago
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