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Ne4ueva [31]
3 years ago
6

Please hurry 50 points for the correct answer! Which locker has the larger capacity? Explain.

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0

Answer:

Gym locker

Step-by-step explanation:

The capacities of the lockers are their volumes. Both lockers are in the shape of a rectangular prism, whose volume is denoted by: V = lwh, where l is the length, w is the width, and h is the height.

<u>School Locker</u>:

The length is 12, width is 10, and height is 60. Plug these values into the formula for the volume:

V = lwh

V = 12 * 10 * 60 = 7200 inches cubed

<u>Gym Locker</u>:

The length is 12, width is 15, and height is 48. Plug these values into the formula for the volume:

V = lwh

V = 12 * 15 * 48 = 8640 inches cubed

Clearly, we see that 8640 > 7200, which means that the gym locker has the larger capacity.

melomori [17]3 years ago
5 0

Answer:

The gym locker.

Step-by-step explanation:

60*12*10= 7200

47*12*15= 8640

8640 is greater than 7200

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Step-by-step explanation:

f (x) = 3x - 5

g(x) = x + 3,

(f - g)(x) = 3x - 5 - ( x+3)

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Combine like terms

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Step-by-step explanation:

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Locate the point in the complex plane and express the number in polar form.
EleoNora [17]

Answer:

We kindly invite you to see the result in the image attached below.

The number in polar form is z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}.

Step-by-step explanation:

A complex number is represented by elements of the form a + i\,b, for all a, b \in \mathbb{R}. The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.

Now we proceed to present the point on the graph: (a = 6, b = 3)  We kindly invite you to see the result in the image attached below.

The polar form of the complex number is defined by:

z = r\cdot e^{i\cdot \theta} (1)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

The magnitude and the direction of the complex number are defined by the following formulas:

Magnitude

r =\sqrt{a^{2}+b^{2}} (2)

Direction

\theta = \tan^{-1} \frac{b}{a} (3)

If we know that a = 6 and b = 3, then the polar form of the number is:

r =\sqrt{6^{2}+3^{2}}

r = 3\sqrt{5}

\theta = \tan^{-1} \frac{6}{3}

\theta \approx 0.352\pi \, rad

z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}

The number in polar form is z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}.

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3 years ago
A little help? we're supposed to find x on these triangles and i'm a little stumped on this
hjlf

Answer:

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Step-by-step explanation:

The other two options would be more closed and since this angle is open, it is the larger one.

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