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3 years ago

The art teacher has 48 boxes of crayons.

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

Answer:

3072 Crayons

Step-by-step explanation:

Crayons = C

48C * 64C = 3072C

3072C = 3072 Crayons

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At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?

Zanzabum

12 people were at the party.

You can choose 12 people to be one person, and 11 to be a person they are shaking hands with. However, this allows us to choose person A, then person B, or Person B, then Person A. We don't want to double-count this case, so we divide by 2. 12*11/2=66, so 12 works.

4 0

3 years ago

Read 2 more answers

Find the surface area of the shape below. Round your answer to two decimal places.

marin [14]

The surface area of the given shape is 285.01 ft²

<h3>Surface area of a cone </h3>

From the question, we are to calculate the surface area of the given shape.

The given shape in the diagram is a cone.

The surface area of a cone is given by the formula,

$S = \pi r(r+l)$

Where S is the surface area

r is the radius

and $l$ is the slant height

First, we will calculate the slant height of the cone

$l^{2}=9^{2} +5.6^{2}$ (Pythagorean theorem)

$l^{2}=81+31.36$

$l^{2}=112.36$

$l}=\sqrt{112.36}$

$l=10.6 \ ft$

∴ The slant height is 10.6 ft

Now, for the surface area

$S = \pi \times 5.6(5.6+10.6)$
$S = \pi \times 5.6(16.2)$

$S = 90.72\pi \ ft^{2}$

$S = 285.0053 \ ft^{2}$

S ≅ 285.01 ft²

Hence, the surface area of the given shape is 285.01 ft²

Learn more on Calculating surface area of a cone here: brainly.com/question/27812847

#SPJ1

6 0

2 years ago

Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (PLESES SHOW WORK

elixir [45]

Answer:

Jeff finished first

Step-by-step explanation:

To solve this equation, I can either converts 2 minutes 2 seconds to seconds or convert 121 seconds to minutes

CONVERT 2 MINUTES 2 SECONDS TO SECONDS

60 seconds = 1 minutes

to convert 2 minutes 2 seconds to seconds, multiply 2 minutes by 60 and then add 2 seconds to it

2 x 60 = 120 seconds

120 seconds + 2 seconds = 122 seconds

Paul finished in 122 seconds while Jeff finished in 121 seconds. Jeff finished first

CONVERT 121 SECONDS TO MINUTES

60 seconds = 1 minutes

To convert 121 seconds to minutes, we have to divide by 60

121/60 = 2 minutes 1 second

Paul finished the race in 2 minutes 2 seconds while eff finished the race in 2 minutes 1 second. Jeff finished first

6 0

3 years ago

Find the sum of the first six terms of the sequence. S6 = ⇒ 84

k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first n terms is:

$\text{Sum of n terms}=\frac{n(n+1)}{2}$

$\text{Sum of first 6 terms}=\frac{6(6+1)}{2}$

$=3\times7\\=21$

Consider the series is an arithmetic sequence.

Sum of first n terms is:

$S_{n}=\frac{n}{2} [2a+(n-1)d]$

Here,

a = first term

d = common difference

Consider the series is an geometric sequence.

Sum of first n terms is:

$S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}$

Here,

a₁ = first term

r = common ratio

7 0

3 years ago

AS ALWAYS, DUE TODAY! Pls and thanks. NOTE- Legit answers only! Legit answers= Brainliest, 5.0 stars, and a Thanks. NOTE 2- Dist

olganol [36]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers