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Svetlanka [38]
3 years ago
7

If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza,

how many degrees would be needed to represent pepperoni pizza in a pie chart?
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:120 degrees

Step-by-step explanation:

24 out 72 orders:.

We have total of 360° in a pichart,

So degrees that will be needed to represent 24 out of 72 on pie chart is :

Pizza= (24 / 72 ) * 360°

Pizza=8640 / 72

Pizza= 120°

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How would I simplify this?<br> 8/13 ln 3 = ln h/12
Greeley [361]

Answer:

Step-by-step explanation:

I'll assume that you meant

(8/13) ln 3 = ln h/12

Applying rules of logs, we get:

(8/13) ln 3 = ln h - ln 12

                = ln h - ln 3 - ln 4         <=  because ln b*c = ln b + ln c

Then (8/13) ln 3 + ln 3 = ln h - ln 4, or

(21/13) ln 3 + ln 4 = ln h  

3^(21/13) * 4 = h                 <=  because ln b*c = ln b + ln c

8 0
2 years ago
Please help worth 20 points
almond37 [142]

Answer:

Try going on D.e.s.m.o.s.c.o.m it worked for me when I  had something like this

Step-by-step explanation:

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7 0
2 years ago
Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a)
ehidna [41]

This question is incomplete, the complete question is;

A student bought a smart-watch that tracks the number of steps she walks throughout the day. The table shows the number of steps recorded (t) minutes after 3:00 pm on the first day she wore the watch.

t (min)       0          10          20         30         40

Steps   3,288    4,659    5,522    6,686    7,128

a) Find the slopes of the secant lines corresponding to the given intervals of t.

1) [ 0, 40 ]

11) [ 10, 20 ]

111) [ 20, 30 ]

b) Estimate the student's walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.)

Answer:

a)

1) for [ 0, 40 ], slope is 96

11) for [ 10, 20 ],  slope is 86.3

111) for  [ 20, 30 ], slope is 116.4

b) the student's walking pace is 101 per min

Step-by-step explanation:

Given the data in the question;

t (min)       0          10          20         30         40

Steps   3,288    4,659    5,522    6,686    7,128

SLOPE OF SECANT LINES

1) [ 0, 40 ]

slope =  ( 7,128 - 3,288 ) / ( 40 - 0

= 3840 / 40 = 96

Hence slope is 96

11)  [ 10, 20 ]

slope = ( 5,522 - 4,659 ) / ( 20 - 10 )

= 863 / 10 = 86.3

Hence slope is 86.3

111)  [ 20, 30 ]

slope = ( 6,686 - 5,522 ) / ( 30 - 20 )

= 1164 / 10 = 116.4

Hence slope is 116.4

b)

Estimate the student's walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines from part .

Since this is recorded after 3:00 pm

{ 3:20 - 3:00 = 20 }

so t = 20 min

so by average;

we have ( [ 10, 20 ] + [ 20, 30 ] ) /2

⇒ ( 86.3 + 116.4 ) / 2

= 202.7 /2

= 101.35 ≈ 101

Therefore, the student's walking pace is 101 per minutes

3 0
3 years ago
what is the ratio for the volumes of two similar spheres given that the ratio of their radii is 4:7 A.)343:64 B.)49:16 C.)16:49
quester [9]

Answer:

Volume of the similar sphere be 64 :343 .

Option (D) is correct.

Step-by-step explanation:

Formula

Volume\ of\ a sphere = \frac{4}{3}\pi r^{3}

As given

The volumes of two similar spheres given that the ratio of their radii is 4:7 .

Let us assume that the x be the scalar multiple of the radi .

Radius of first sphere = 4x

Radius of second sphere = 7x

Putting the values in the formula

Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 4x\times 4x\times 4x

Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 64x^{3}

Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 7x\times 7x\times 7x

Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 343x^{3}

Thus

\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{\frac{4\pi\times 64x^{3}}{3}}{\frac{4\pi\times 343x^{3}}{3}}

\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{64}{343}

Therefore the ratio of the volume of the similar sphere be 64 :343 .

Option (D) is correct .

5 0
3 years ago
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PLEASE HELP WILL BE GIVING BRAINLIEST!!!!!
lorasvet [3.4K]

Answer:

See below

Step-by-step explanation:

<u>X   Y</u>

1     4

2    7

3     10

3(x - 1) + 4

10 triangles would be

3(10 - 1) + 4=

30 - 3 + 4 = 31

8 0
2 years ago
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