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GREYUIT [131]
3 years ago
9

Nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

72°

Step-by-step explanation:

The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.

Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:

x + x + x + x + x  = 360

5x = 360

Dividing through by 5:

5x / 5 = 360 / 5

x = 72°

Each slice has an angle measure of 72°

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ycow [4]
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in
³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
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8 0
3 years ago
The Mason family's bill for dinner is $55.73. How much should they tip their server? (Assuming they tip the normal 15%)
Lisa [10]

Answer:$8.36

Step-by-step explanation:

Change % to decimal and multiply

15% =.15

55.73 x .15 = 8.3595

5 0
3 years ago
If she spent a total of $44.25 on fabric, what was the cost per yard? She bought 14 3/4. Explain how you solved
Deffense [45]

44.25 \div 14.75 = 3
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6 0
3 years ago
If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?
DochEvi [55]
\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8
5 0
3 years ago
Which expressions are equivalent to 15.8×300?
Travka [436]

Answer:

A and C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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