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Yuri [45]
3 years ago
5

Write the expression in standard form

frac{7}{3-15i}" alt="\frac{7}{3-15i}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

<em>Answer:</em>

<em>7/78 - 35/78i</em>

<em>Step-by-step explanation:</em>

<em>A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is: </em>

<em>a + bi </em>

<em> </em>

<em>For the expression, 7/ 3-15i </em>

<em> </em>

<em>(7/ 3-15i) (3+15i) </em>

<em>21 - 105i / (234) </em>

<em>7/78 - 35/78i </em>

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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
algol13

Answer:

The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.

Step-by-step explanation:

We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

cos X =  (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)

=  0.18310

X =  79.45 degrees.

We can now find another angle using the sine rule:

8.6 / sin 79.45 =  7.5/ sin Y

sin Y = (7.5 * sin 79.45) / 8.6

Y = 59.02 degrees

So the third angle = 180 - 79.45 - 59.02

= 41.53 degrees.

3 0
3 years ago
If m&lt;1=40 and m&lt;2=80, what is m&lt;3?
prohojiy [21]

Answer:

60 degrees, 55 degrees, and 50 degrees respectively

Step-by-step explanation:

Equation: m<1+m<2+m<3=180

1. 40+80+x=180 Subtract 120(because 40+80=120)

  x=60

2. 50+75+x=180 subtract 125 (50+75=125)

    x=55

3. 50+80+x=180 subtract 130 (50+80=130)

   x=50

5 0
3 years ago
A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.
skad [1K]

Answer:

3/4 of the area of the circle is of 48\pi squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which the center is (x_0,y_0) and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

A = \pi r^2

Circle (x+2)² + (y-5)² = 64

Comparing with the standard equation, we have that:

r^2 = 64

Area of the circle:

A = \pi r^2 = 64\pi

What is 3/4 of its area?

\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi

3/4 of the area of the circle is of 48\pi squared units.

8 0
2 years ago
Write the fraction in simplest form <br><br> 64/88
oksano4ka [1.4K]

The simplified form of 64/88 is 8/11I believe


3 0
3 years ago
Read 2 more answers
Help?
fgiga [73]
The question is:

19. if g(x) = 3 + x + e^x, find the inverse function of g (4).

Solution:

1) Put the equation as y = 3  + x + e^x

2) Solve for x = > x + e^x = y - 3

3) switch x and y => y + e^y = x - 3

4) y is the inverse

5) find y for the value requested (x = 4)

=> y + e^y = 4 - 3

=> y + e^y = 1

the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.

Answer: 0.
6 0
3 years ago
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