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AleksAgata [21]
3 years ago
14

Find the unknown side of the triangle when x = 12 in and y = 5 in.

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

Answer:

13

Step-by-step explanation:

As x and y are perpendicular - we can use pythagoras.

So, The length of side x squared + The length of side y squared = The missing length squared.

12^2=144

5^2=25

144+25=169

sqrt169=13

Sonbull [250]3 years ago
8 0

Answer:

Unknown side = 13 in

Step-by-step explanation:

If it is a right sided triangle, then you can use the Pythagoras theoreum.

unknown side = u

x² + y² = u²

12² + 5² = u²

u² = 144 + 25

u² = 169

u = + - SQRT(169)

{Only the positive value has a meaning}.

Unknown side = 13 in

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iris [78.8K]

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Answer:

  530.93 square units

Step-by-step explanation:

The area of a circle in terms of diameter can be found by ...

  A = (π/4)d²

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3 years ago
Simplify -8(6m-7) using distributive form
Andreyy89

Answer:    -48m + 56

Step-by-step explanation:

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3 years ago
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What are the solutions of the inequality? -2(3x + 2) ≥ -6x - 4 Question 2 options: all real numbers x ≤ 6 no solution x ≥ 0
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Solution, -2\left(3x+2\right)\ge \:-6x-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:True\quad \forall \:x\in \mathbb{R}\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Steps:

-2\left(3x+2\right)\ge \:-6x-4

\mathrm{Expand\:}-2\left(3x+2\right),\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac,\\a=-2,\:b=3x,\:c=2,\\-2\cdot \:3x+\left(-2\right)\cdot \:2,\\\mathrm{Apply\:minus-plus\:rules},\\+\left(-a\right)=-a,\\-2\cdot \:3x-2\cdot \:2,\\\mathrm{Simplify}\:-2\cdot \:3x-2\cdot \:2,\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6,\\-6x-2\cdot \:2,\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4,\\-6x-4,\\-6x-4\ge \:-6x-4

\mathrm{Add\:}4\mathrm{\:to\:both\:sides},\\-6x-4+4\ge \:-6x-4+4

\mathrm{Simplify},\\-6x\ge \:-6x

\mathrm{Add\:}6x\mathrm{\:to\:both\:sides},\\-6x+6x\ge \:-6x+6x

\mathrm{Simplify},\\0\ge \:0

\mathrm{Therefore,\:the\:final\:solution\:is},\\True\quad \forall \:x\in \mathbb{R}

Or\:No\:Solution\:x\geq 0


8 0
3 years ago
Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation an
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The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.

A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.

The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.

5 0
3 years ago
Read 2 more answers
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