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3 years ago

Help please i’m in the middle of a test

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Answer:

None of your options

Step-by-step explanation:

$(7 - 3i) + ( x - 2i)^2 -(4i^2 + x^2)\\\\(7 - 3i) + (x^2 - 4 - 4xi) - (-4 + x^2)\\\\7 - 3i + x^2 - 4 - 4xi + 4 - x^2\\\\7 -i(3+4x) - 4 + 4 - x^2 + x^2\\\\7 - (4x + 3)i$

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1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

Pleaseeee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Mnenie [13.5K]

Answer:

MQ=14

Step-by-step explanation:

The two triangles are similar

So the equation is

12/72=x/12

1/6=x/12

x=2

4 0

3 years ago

What is the equation of a circle with a center (-2, 3) and a radius r = 5?

qwelly [4]

The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2

(h, k) is the center.

So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25

6 0

3 years ago

Which of the following is an infinite series?

max2010maxim [7]

Answer:

for the first question it would be A. 4+8+16+32 because infinite series are such as :

9,18,36,72,144,288

10,20,40,80,160,

so basically its multiplying *2

I cant do #2 without seeing the formula

4 0

3 years ago