Answer:
The mean amount spent = £14.80
The modal product is hoodies.
Step-by-step explanation:
Here
25 T shirts each costing £10 were purchased
Amount spent on T shirts = 25 × 10 = £250
30 key ring of £5 were purchased
Amount spent on key ring = 30 × 5 = £150
40 Hoodies for £25 each
Amount spent on Hoodies = 40 × 25 =£1000
30 CD's for £15 each
Amount spent on CD's = 30 ×15 = £450
Total amount spent = 250 +150 + 1000 + 450 = £1850
Total items purchased = 25 + 30 + 40 + 30 = 125
Mean amount spent = ![\frac{1850}{125}= 14.80](https://tex.z-dn.net/?f=%5Cfrac%7B1850%7D%7B125%7D%3D%2014.80)
The modal product is Hoodies as the maximum number of hoodies were purchased.
Answer:
44 pi centimeters cubed
Step-by-step explanation:
Since, base radius and height of cone are equal to to that of cylinder. Hence,
![Volume \: of \: cone \\ = \frac{1}{3} \times Volume \: of \: cylinder \\ = \frac{1}{3} \times132\pi \\ = 44\pi \: {cm}^{3}](https://tex.z-dn.net/?f=Volume%20%5C%3A%20%20of%20%20%5C%3A%20cone%20%20%20%5C%5C%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20Volume%20%5C%3A%20of%20%5C%3A%20cylinder%20%5C%5C%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes132%5Cpi%20%20%5C%5C%20%3D%2044%5Cpi%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20)
3 the radius of both bases are the sams
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry
B.) <span>A </span>Square<span> (4 sides) </span><span>has </span>4 Lines of Symmetry
C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry
Answer:
![114.59\°](https://tex.z-dn.net/?f=114.59%5C%C2%B0)
Step-by-step explanation:
we know that
The circumference of a circle is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
In this problem we have
![r=3\ cm](https://tex.z-dn.net/?f=r%3D3%5C%20cm)
substitute
![C=2\pi (3)=6 \pi\ cm](https://tex.z-dn.net/?f=C%3D2%5Cpi%20%283%29%3D6%20%5Cpi%5C%20cm)
Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of ![6\ cm](https://tex.z-dn.net/?f=6%5C%20cm)
![\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B6%5Cpi%20%7D%20%5Cfrac%7Bdegrees%7D%7Bcm%7D%20%3D%5Cfrac%7Bx%7D%7B6%7D%20%5Cfrac%7Bdegrees%7D%7Bcm%7D%20%5C%5C%20%5C%5Cx%3D6%2A360%2F%286%5Cpi%20%29%5C%5C%5C%5C%20x%3D114.59%5C%C2%B0)