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iren [92.7K]
2 years ago
5

A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures $90$ degrees: [asy] unitsize(

0.35inch); defaultpen(black+1); void pie(pair ctr, real fract, int slices, string lbl){ path c = circle(ctr,1); draw(c); fill(c,darkblue); path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..Ctr+(sin(pi*fract),cos(pi*fract))..Cycle); draw(s); fill(s,yellow); for(int i=0;i
Mathematics
1 answer:
MrRissso [65]2 years ago
4 0

42 would be the answer for the question.

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Find perimeter of regular pentagon is 100 inches. Find the length of each side.
Sergio [31]
A regular pentagon is a polygon with five sides of equal length.

The perimeter of a regular polygon is the number of sides (n) multiplied by the length of one side (s).

P=ns
100=5s
s=20

The length of each side is 20 inches

6 0
2 years ago
Read 2 more answers
A container contains 13 almonds, 8 walnuts, and 19 peanuts. You randomly choose one nut and eat it. Then you randomly choose ano
Fantom [35]

Answer: 8/40 and 13/40

Step-by-step explanation:

6 0
2 years ago
A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat
ivolga24 [154]

Answer:

c=\frac{16}{39}

Step-by-step explanation:

The probability density function is :

f(x)=c(1-\frac{1}{16}x^{2})

With 0 < x < 3

To be a valid probability density function :

\int\limits^b_a {f(x)} \,dx=1

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1

c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1

c(3-\frac{1}{16}\frac{3^{3}}{3})=1

c(\frac{39}{16})=1

c=\frac{16}{39}

We can verify by replacing ''c'' in the original probability density function and integrating :

\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=

=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1

Also, f(x) ≥ 0 for 0 < x < 3

4 0
3 years ago
The image of ΔABC after a reflection across Line E G is ΔA'B'C'. 2 triangles are shown. A line of reflection is between the 2 tr
nirvana33 [79]

Answer:  

It's A - F is the midpoint of AA' because Line E G bisects AA'

Step-by-step explanation: :D

6 0
2 years ago
Read 2 more answers
Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold
PilotLPTM [1.2K]
I cannot see Zoe's work to explain the error, but the correct method of solving is listed:

x is the number of 30-second ads
y is the number of 60-second ads

x+y=12(60)=720 would be the first equation; this is because while the ads together make 12 minutes, the ad times are in seconds.  This means we must multiply 12 by 60.

y=2x is the second equation

Our system is then
x+y=720
y=2x

We will use substitution to solve this.  Plug 2x in place of y in the first equation:
x+2x = 720

Combine like terms:
3x = 720

Divide both sides by 3:
3x/3 = 720/3
x = 240

Substitute this value in for x in the second equation:
y=2(240)
y=480
8 0
2 years ago
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