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Ket [755]
3 years ago
5

Jeremy is given the choice between two chocolates, X and Y. Which one should he choose to get the most chocolate possible, and h

ow much more chocolate does he get by picking the larger one?
Two pyramids. The rectangular pyramid has base 5 centimeters by 6 centimeters and height 10 centimeters. The triangular pyramid also has height 10 centimeters. The triangular base is 7.5 centimeters across the bottom and 8 centimeters tall.

A. It does not matter. The volumes of X and Y are equivalent.
B. He should choose Y, since he will get twice as much chocolate.
C. He should choose X, since he will get twice as much chocolate.
D. He should choose X, since he will get 10 times as much chocolate.

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

A. It does not matter. The volumes of X and Y are equivalent.

Step-by-step explanation:

Volume of the pyramid = Base area × Height

For rectangular pyramid X:

Given Height of pyramid = 10cm

Base area = Length × Breadth

Base Area = 6cm×5cm = 30cm²

Volume = 10×30

Volume of the pyramid = 300cm²

For pyramid Y:

Given Height = 10cm

Base area = 1/2 base×height

Base area ,= 1/2 × 7.5×8

Base area = 30cm²

Volume of the triangular pyramid = 10×30 = 300cm³

We can see that the volume of X and Y is the same, therefore the type of chocolate Jeremy chose doesn't matter.

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An international company has 25,800 employees in one country. If this represents 31.1% of the companies employees, how many empl
aksik [14]

Answer:

Rounded to the nearest integer, the company has a total of 82,958 employees.

Step-by-step explanation:

Given that an international company has 25,800 employees in one country, if this represents 31.1% of the companies employees, to determine how many employees does it have in total, the following calculation must be performed:

31.1 = 25,800

100 = X

100 x 25,800 / 31.1 = X

2,580,000 / 31.1 = X

82,958.1 = X

Thus, rounded to the nearest integer, the company has a total of 82,958 employees.

3 0
3 years ago
Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
guajiro [1.7K]

The given function is,

y=-5\cos (\frac{\pi}{2}(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,

\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,

\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,

y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,

\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0
1 year ago
Using the digits 5, 6, 7, 8, 9 and repetition is allowed how many options are there to
just olya [345]

Answer:

250 options to create an even number

375 options to create an odd number

8 0
3 years ago
What are the factors of 4x^2+13x+3?
Katyanochek1 [597]
<span>4x</span>² <span>+ 13x + 3=
4x</span>² + 12x + x + 3 =
4x(x+3) + (x+3) = 
(4x+1)(x+3)
4 0
3 years ago
Is the expression x3•x3•x3 equivalent to x3•3•3
avanturin [10]

Answer:

Yes

Step-by-step explanation:

So I'll assume that x3 is 3x -->

so 3x • 3x • 3x =? to 3x • 3 • 3?

You can first simplify this to 3^3x =? to 3x • 9 -->

27x =? to 3x • 9 => so there are many solutions but if per say x = 5 then yes it would be equal.

Check with another number per instance 8

27(8) = 216 => 24(9) = 126

Yes they are equal

Hope this helps!

3 0
3 years ago
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