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4 years ago

6

What formula do you use to prove that a triangle is a right triangle?

1 answer:

nata0808 [166]4 years ago

8 0

If you have the length of each side, apply the pythagorean theorem to the triangle. If you get a true statement, then you can be sure that you do indeed have a right triangle. If you get a false statement then you can be sure that your triangle is not a right triangle.
Pythagorean therem is : A squared + B squared = C squared

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The z- score for a mark of 56 in a test with a mean of 60 and standard deviation of 8 is

Alenkasestr [34]

Answer:

z = - .5

Step-by-step explanation:

z = (x - μ)/ σ

z = 56 - 60/8 = -.5

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3 years ago

How many solutions does the equation have? 2(x+3)=2x+6

krek1111 [17]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

Subtract 6 from both sides of the equation

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3 years ago

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Solving right triangles

Ann [662]

Answer:

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3 years ago

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How many different committees can be formed from 10 teachers and 37 students of the committee consist of three teachers and two

pashok25 [27]

Answer:

<em>79,920 different ways</em>

Step-by-step explanation:

Combination has to do with selection:

If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.

10C3 = 10!/(10-3)!3!

10C3 = 10!/7!3!

10C3 = 10*9*8*7!/7!3!

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 ways

Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;

37C2 = 37!/(37-2)!2!

37C2 = 37!/35!2!

37C2 = 37*36*35!/35!*2

37C2 = 37*36/2

37C2 = 37 * 18

37C2 = 666 ways

<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>

<em> 120 * 666 = 79,920 ways</em>

3 0

3 years ago

Round to the nearest tenth.

sammy [17]

Answer:

$c=9.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$A+110^o+30^o=180^o\\A=40^o$

step 2

Find the length side c

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{12}{sin(40^o)}=\frac{c}{sin(30^o)}$

solve for c

$c=\frac{12}{sin(40^o)}sin(30^o)$

$c=9.3\ units$

4 0

4 years ago