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Trava [24]
3 years ago
9

Simplify: 21j-26+4j=21+6-2j

Mathematics
1 answer:
Molodets [167]3 years ago
3 0
1. 21j-26+4j=21+6-2j
2. 25j-26=27-2j
3. 27j=53
4. j=53/27
hope this helps!!
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The local public pool is a rectangle with two semicircles.
Reptile [31]

The area of the surface of the pool is 7322.64 m².

<h3>What is Area of rectangle?</h3>

The area of rectangle is product of length and its breadth.

i.e., length * breadth

Given: Length = 100 m, Width = 52 m and Diameter = 52 m

Area of rectangle,

= 100 × 52

= 5200 m²

Now,

Area of semicircle = 1/2 × πr²

=1/2 × 3.14 × 26²

= 1061.32 m²

Hence, area of the surface of the pool is

= 1061.32 + 1061.32 + 5200

= 7322.64 m²

Learn more about this concept here:

brainly.com/question/15461609

#SPJ1

8 0
2 years ago
A bench is 35 inches long and 19 inches wide. how many square inches does it cover?
vfiekz [6]
Do 35 times 19 and that is the whole square inches or so 35 squared times 19 squared 
4 0
3 years ago
Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the
Alex_Xolod [135]

The correct answer is the first option.


If you want to use elimination, you can sum the two equations for example, so that the x's simplify:


(-2x+4y)+(2x+2y) = 16+8


6y = 24


y = 4


Plug this value for y in one of the equations to derive the value of x:


2x+2y=8 \implies 2x + 8 = 8 \implies x = 0


So, the solution is (x,y) = (0,4)

8 0
3 years ago
10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135
Viefleur [7K]
The simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.

First we must simplify the expression:
\frac{3 \sqrt{160} }{\sqrt{1350x} } =  \frac{12 \sqrt{10} }{15 \sqrt{6x} } =  \frac{4 \sqrt{10} }{5 \sqrt{6x} }

Then we factor the rational parts and cancel it out:
\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }

Then we rationalize the expression:
\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}

<span>Finally, the simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.</span>
7 0
3 years ago
Giving brainlest and 20 points
Natali5045456 [20]

Answer:

C. 40 square inches but i could be wrong

4 0
3 years ago
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