An investigator at a crime scene found a triangular piece of torn fabric. The investigator remembered that one of the suspects had a triangular hole in their coat. Perhaps it was a match. Unfortunately, to avoid tampering with evidence, the investigator did not want to touch the fabric and could not fit it to the coat directly.
a) If the investigator measures all three side lengths of the fabric and the hole, can the investigator make a conclusion about whether or not the hole could have been filled by the fabric?
b) If the investigator measures two sides of the fabric and the included angle and then measures two sides of the hole and the included angle can he determine if it is a match? Explain.

Answer:

1

Step-by-step explanation:

I think C(12,0) means 12 choose 0. If yes, then the answer is 1. There is only 1 way to pick 0. Or, you can calculate it with the form:

C(12,0) = [tex]\frac{12!}{0!(12-0)!}[/tex] ⇒

[tex]\frac{12!}{1*12!}[/tex] = 1

9514 1404 393

Answer:

  terms were improperly combined

Step-by-step explanation:

I find the easiest way to identify the error in a solution is to solve it myself and compare with what is shown as being done.

Here, we're starting with ...

  [tex]\dfrac{1}{5}g-\dfrac{1}{10}-g+1\dfrac{3}{10}g-\dfrac{1}{10}[/tex]

If we identify the g-terms and the constant terms, we can group them the way Tyson did:

  [tex]\dfrac{1}{5}g+(-1)g+1\dfrac{3}{10}g-\dfrac{1}{10}-\dfrac{1}{10}[/tex]

The next step is to combine like terms. We can factor out g, so the coefficients are easier to see and combine.

  [tex]\left(\dfrac{1}{5}+(-1)+1\dfrac{3}{10}\right)g-\dfrac{1}{10}-\dfrac{1}{10}\qquad\text{step 1a}\\\\\dfrac{1}{2}g-\dfrac{1}{5}\qquad\text{step 2}[/tex]

The error is 1 3/10 was combined with -2/10 as a constant instead of being combined with -4/5 as a coefficient of g.

Answer:

Bottom left

Step-by-step explanation:

Trust me bro

9514 1404 393

Answer:

 D.  7 +3i, 7 -3i

Step-by-step explanation:

When the leading coefficient of the quadratic is 1, as it is here, the sum of the roots is equal to the opposite of the coefficient of the x-term. So, we need the sum of roots to be -(-14) = 14.

In each case, the imaginary parts cancel when the roots are added. The real parts of the roots are the same, so the sum of roots is double the real part of one of the roots. In order for that to be 14, the real part of the root must be 7.

Only answer choice D matches this requirement.

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Algebraic solution

  x^2 -14x +58 = 0 . . . . given

  (x -7)^2 = -9 . . . . . . . subtract 9 and write as a square

  x = 7 ± 3i . . . . . . . . square root and add 7

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Additional comment

When p and q are roots, (x-p) and (x-q) are factors. The expansion of the factored form is ...

  (x -p)(x -q) = x^2 -(p+q)x +pq = 0

That is, the constant term is the product of the roots, and the linear (x) term coefficient is the opposite of the sum of the roots. This can help you check quickly if an offered choice of roots is applicable to the given equation. This is also the basis of the thinking used to factor the equation.

Answer:

Step-by-step explanation:

The Pythagorean theorem applies to right angled triangles only.

However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.

So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.

9514 1404 393

Answer:

  right triangles

Step-by-step explanation:

The Pythagorean theorem relates the side lengths of a right triangle.

  c² = a² +b² . . . . . . . . for legs 'a' and 'b' and hypotenuse 'c'

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Additional comments

The more general form of the relation between side lengths of a triangle is given by the Law of Cosines:

  c² = a² +b² -2ab·cos(C) . . . . for sides 'a', 'b', and 'c' with angle C opposite side 'c'

You will notice this reduces to the Pythagorean relation when C = 90°.

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Triples of integers that satisfy the Pythagorean relation are called Pythagorean triples. The smallest set (and the only sequential set) of these is (a, b, c) = (3, 4, 5). Other triples commonly seen in math problems are (5, 12, 13), (7, 24, 25), (8, 15, 17), and multiples of these.

Answer:

2.8 Miles

Step-by-step explanation:

You subract 5.8 from 8.6 to get the answer.

What finds the optimum value for a target variable by repeatedly changing other variables, subject to specified constraints, is an extension of goal-seeking analysis.

Goal seeking refers to a set of scientific methodologies aimed at determining the conditions for obtaining a predetermined end state. This notion, also called what-if analysis or back solving, was established in the 1950s in the fields of psychology and computer science.

Thus, the researchers are in charge of generating a favorable context for the generation of the expected results, with the aim of analyzing them once produced, and obtaining scientific knowledge.

Learn more in https://brainly.com/question/13383239

Answer:

SAS

Step-by-step explanation:

Hope this helps :)

Answer:

a+b+x=180,sum of angles in a triangle

54+48+x=180

102+x=180

x=180-102

x=78

Answer:

All you have to do is add 11 four times and then add 18 four times. Then once you have added them up, you add those two numbers and that is how you get your answer.

Step-by-step explanation:

11+11+11+11= 44

18+18+18+18=72

44+72=116

116 is the answer

Answer:

471.24

Step-by-step explanation:

Answer:

A= 471.24

Step-by-step explanation:

The formula for the surface area of a cylinder is

[tex]A=2\pi rh+2\pi r^2[/tex]

What we know is

Using these numbers, we can know plug them into the formula.

[tex]A=2\pi (5)(10)+2\pi(5)^2[/tex]

Simplify

[tex]A= 100\pi + 50\pi[/tex]

[tex]A= 150\pi[/tex]

[tex]A= 471.24[/tex]

Not function because its a vertical line.

Answer:

0 degrees

Step-by-step explanation:

if the temp started as 4 then decreased by 4 it would be 0.

Answer:

763

Step-by-step explanation:

Answer:

There are 90 peach trees and 60 apple trees

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

add the ratio 3+5 to get 8

amina received 3/8 of 240

perform the calculation 3/8×240

240/8=30. , 30×3=90

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hello!

TO find the root all you gotta do is 3x3 which gives you 9

Answer:

1/12

Step-by-step explanation:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

-24+36=-12.................

Answer:

[tex]x \geqslant - 1[/tex]

Step-by-step explanation:

the arrow is facing to the right making the inequality greater than, the dot is closed so greater than or equal to, and the dot is on -1

Answer: X > -1

Step-by-step explanation:

Trust Bro

Answer:

17

Step-by-step explanation:

12+5=17 ;-;

Answer:

17

Step-by-step explanation:

this is easy for f.ree points thanks

[tex]1. {3}^{2} + {2}^{3} \\ = 9 + 8 \\ = 17[/tex]

[tex]2. {5}^{3} + {2}^{4} \\ = 125 + 16 \\ = 141[/tex]

[tex]3. {2}^{0} + {5}^{0} + {6}^{0} \\ = 1 + 1 + 1 \\ = 3[/tex]

[tex]4.1000 - {10}^{2} \\ = 1000 - 100 \\ = 900[/tex]

[tex]5. {3}^{3} - {2}^{3} \\ = 27 - 8 \\ = 19[/tex]

[tex]6. {5}^{2} - {3}^{2} \\ = 25 - 9 \\ = 16[/tex]

[tex]7. {10}^{2} - {10}^{0} \\ = 100 - 1 \\ = 99[/tex]

[tex]8. {2}^{4} \times {3}^{2} \\ = 16 \times 9 \\ = 144[/tex]

[tex]9. {10}^{3} - {5}^{2} \\ = 1000 - 25 \\ = 975[/tex]

[tex]10. {7}^{2} \times {2}^{2} \\ = 49 \times 4 \\ = 196[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

x=1, y=10

Step-by-step explanation:

we use substitution to get from the bottom equation that y=12-2x,

plug that into the first equation to get 5x+12-2x=15

combining like terms and cancelling, we get 3x=3

so x=1,

substituting that into the former equation gives us y=10

(2,-9)

slope = -3

1.  y + 9 = -3(x - 2)

2. y = -3x - 3

3. x = -1

4. I don't know if you wanted the answer for this one. If so I can't see the whole problem.

Answer:

2x9 + 2x3

Step-by-step explanation:

You distribute the 2 to the other terms (9 and 3) in the brackets.