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worty [1.4K]
3 years ago
5

PLEASE HELP ITS EASY

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

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At a dog park , there are 10 black dogs, 5 brown dog, 2 white dog, and 12 multi color dogs​
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The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13
Iteru [2.4K]

Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

         Base Area : Circle

               A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi

        Curved Surface: conical

                A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi

The total surface area of the cone can be written as ( A ):

               A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

4 0
4 years ago
Simplify: cos2x+cos4 all over sin2x - sin 4x
madam [21]

1400 answer choice B

8 0
4 years ago
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(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
What is the measure of A?
BabaBlast [244]

Answer:

60

Step-by-step explanation:

Since the sides are equal, the angles have to be equal

The angles of a triangle add to 180

180/3 = 60

Angle A = 60

3 0
3 years ago
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