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3 years ago

The surface area of a cone is 54 square inches. What is the surface area of a similar cone that is three times as large?

Mathematics

1 answer:

arsen [322]3 years ago

7 0

Given:

Given that the surface area of the cone is 54 square inches.

We need to determine the surface area of the cone that is similar to the cone three times large.

Surface area of the similar cone:

Let us determine the surface area of the similar cone.

The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.

Thus, we have;

$SA = 3 \times 54$

$SA=162$

Thus, the surface area of the similar cone is 162 square inches.

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Find the equation of the exponential function represented by the table below:

Leona [35]

Answer:

The exponential equation is;

y = 0.1•0.5^x

Step-by-step explanation:

Here, we want to get the exponential function represented by the table

Mathematically, the general form of an exponential function is;

y = a•b^x

By getting a and b, we have the exponential function

We can use any of the points;

Let us start with (0,0.1)

0.1 = a•b^0

anything raised to zero is 1

0.1 = a * 1

a = 0.1

Now, we have a

Let us work with the second point to get b

The point is (1,0.05)

0.05 = 0.1•b^1

0.05 = 0.1b

b = 0.05/0.1

b = 0.5

Thus, we have the equation as;

y = 0.1•0.5^x

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3 years ago

What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))

Anastaziya [24]

Answer:

C. $z = -20\sqrt{3}-i\,20$

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

$z = a+i\,b$ (1)

Where each coefficient can be determined as function of the polar components:

$a = r\cdot \cos \theta$ (2)

$b = r\cdot \sin \theta$ (3)

Where:

$r$ - Magnitude of the complex number, dimensionless.

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

If we know that $r = 40$ and $\theta = \frac{7\pi}{6}$ , then the rectangular form of the number is:

$a = 40\cdot \cos \frac{7\pi}{6}$

$a = -20\sqrt{3}$

$b = 40\cdot \sin \frac{7\pi}{6}$

$b = -20$

The rectangular form of $z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right)$ is $z = -20\sqrt{3}-i\,20$ . The correct answer is C.

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3 years ago

What is 3d + 8 = 2d - 17 its a equation

maksim [4K]

3d+8=2d-17
-2d -2d
__________
d+8=-17
-8 -8
__________
d=-25

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3 years ago

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Binomial factors of 6s2 + 40s – 64

11111nata11111 [884]

the answer is 3 s– 4

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325% of 24.2 is what

tatyana61 [14]

If you would like to know how much is 325% of 24.2, you can calculate this using the following steps:

325% of 24.2 = 325/100 * 24.2 = 78.65

Result: 325% of 24.2 is 78.65.

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3 years ago

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