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Mathematics

1 answer:

pochemuha3 years ago

7 0

Answer:

Bob has one more marble than Kayla.

Step-by-step explanation:

The complete question in the attached figure

Let

x -----> the number of marbles Bob has

y ----> the number of marbles Kayla has

we have

$x=6\ marbles\\y=5\ marbles$

we know that

To find out how many more marbles Bob has than Kayla, subtract the number of marbles Kayla has from the number of marbles Bob has

$x-y$

Substitute the given values

$6-5=1\ marble$

therefore

Bob has one more marble than Kayla.

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A cone has a circular base of radius 8m. Given that the total surface area of the cone is 350m^2, find the slant height

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<h3>Hello There!!</h3><h3><u>Given</u></h3>

Radius of Circular Base Of Cone= 8m

Total Surface Area= 350m²

<u>Considering</u> Slant Height as l

<h2><u>Solving</u></h2>

Total Surface Area= Curved Surface Area of Cone+ Area of circular Base

i.e.,

$350 { \text{m}}^{2} = \pi \times r \times l + \pi \times {r}^{2}$

$350 = \pi \times r(l \times r) \\ \\ \implies 350 = 3.142 \times 8(l + 8) \\ \\ \implies \frac{350}{3.142 \times 8} = l + 8 \\ \\ \implies 13.924 = l + 8 \\ \\ \implies l = 13.924 - 8 \\ \\ \therefore l = 5.924 \: \text{cm}$