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blsea [12.9K]
1 year ago
8

What is 2^c=8 (please help)

Mathematics
1 answer:
valentina_108 [34]1 year ago
5 0

Answer:

c=3.

Step-by-step explanation:

∵2*2*2=8,

∴2^3=8.

∵2^c=8,

∴c=3.

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Solve the following system of equations by graphing.
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(x,y)=(3,1)

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Bobcat park is a rectangular park with an area of 5 1/5 square miles.Its width is 1 19/20 miles. How long is the park
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5 1/5 mi^2 5.2 mi^2

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4 0
3 years ago
Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an
alisha [4.7K]

Answer:

\sin \theta=-\frac{4}{5}

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

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Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
denpristay [2]
The area is given by:
 A = Ab + Al
 Where,
 Ab: base area
 Al: lateral area
 The area of the base is:
 Ab = (3/2) * (L ^ 2) * (root (3))
 Where,
 L: side of the hexagon.
 Substituting we have:
 Ab = (3/2) * (4 ^ 2) * (root (3))
 Ab = (3/2) * (16) * (root (3))
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 The lateral area is:
 Al = (6) * (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Substituting we have:
 Al = (6) * (1/2) * (4) * (6)
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 The total area is:
 A = 24raiz (3) + 72
 Answer:
 
A = 24raiz (3) + 72
7 0
3 years ago
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