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3 years ago

Helppppppppppppppppppp

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:

∠KYR = 43 degrees

Step-by-step explanation:

1. We know that the entire angle equals to 90 degrees because it is a right angle.

First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90

3c + 64 + 5c + 82 = 90]

8c + 146 = 90

- 146 -146

8c = -56

c = -7

Now we have to find the value of angle KYR so just plug in -7 for c

3(-7) + 64 = 43

Can get brainliest please?

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Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per

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Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

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3 years ago

Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)

zubka84 [21]

$\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 
$

This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

$\frac{ \sqrt{-49}}{7-2i-4-9i}$

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result:

$\frac{ \sqrt{-49} }{3-11i}$

Now, the $\sqrt{-49}$ must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to $\sqrt{49} \sqrt{-1}$
This means that we get the result 7i for the numerator.

$\frac{7i}{3-11i}$

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: $x^2 - y^2 =(x+y)(x-y)$
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

$\frac{7i (3+11i)}{(3-11i)(3+11i)}$

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how $(3-11i)(3+11i)= 3^2 -(11i)^2$ therefore, we can finally write:

$\frac{7i(3+11i)}{3^2 - (11i)^2 }$

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product $7i(3+11i) = 21i+77i^2$ .
You should know from your classes that i^2 = -1, thefore the numerator simplifies to $-77+21i$
You can do it as a curious thing, but simplifying yields the result:
$\frac{-77+21i}{130}$

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3 years ago