-4, 1, 8, 4, 8, 7, 10, -5, -2, 7

guapka [62]

$\frac{12}{126}$ in simplest form:

First, we can start off by finding the greatest common factor (GCF) of the numerator and the denominator. To do this, we list the factors of each two numbers till we find the common factor that is the greatest.

Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Looking at the listed factors of the two numbers, which numbers are the common ones? The common factors are 1, 2, 3, and 6. We are looking for the GREATEST common factor, so out of those four numbers, which is the greatest? It is 6, so the GCF is 6.

Second, we can now divide the numerator and the denominator by the GCF (6).

$12 \div 6 = 2 \\ 126 \div 6 = 21$

Third, now we can revise our fraction in the simplified form, which we got from dividing above.

Fraction form: $\fbox {2/21}$
Decimal form: $\fbox {0.0952}$

5 0

3 years ago

Read 2 more answers

HELP A GIRL IN NEED

Naddika [18.5K]

Recall the half-angle identity:

cos²(x) = 1/2 (1 + cos(2x))

Let x = 75°, so that 2x = 150°. Then

cos²(75°) = 1/2 (1 + cos(150°))

You might already be aware that cos(150°) = -√3/2, so

cos²(75°) = 1/2 (1 - √3/2)

cos²(75°) = 1/2 - √3/4

cos²(75°) = (2 - √3)/4

But this is the square of the number we want, which we solve for by taking the square root of both sides. This introduces a second solution, however:

cos(75°) = ± √[(2 - √3)/4]

cos(75°) = ± √(2 - √3)/2

75° falls between 0° and 90°, and you should know that cos(x) is positive for x between these angles. This means cos(75°) must be positive, so we pick the positive root:

cos(75°) = √(2 - √3)/2

3 0

2 years ago

Can someone please answer this with steps

ivanzaharov [21]

1) Put all equations together and add them up to equal 180. Triangle's angles add up to 180°

EX) (x+10)+(3x-5)+x=180

2)Combine like terms.

EX) (5x+5)=180

3) Subtract 5 to both sides

EX) 5x=175

4) Divide both sides by 5.

EX) x=35

6 0

4 years ago

Choice test you know the answer to the third question is not b or c you sure about a,d,or e. If you guess, what is the probabili

MrRissso [65]

If there were just one question, then the probability of guessing correctly would be 1/3.

Since all the answers are independent (the answer to one question has no bearing on the answers to the others), then this is the case with each question, so the chances of guessing all answers correctly is 1/3 × 1/3 × 1/3 = 1/27. Independent choices are linked by multiplication.

To have exactly 2 answers correct, we have to think of which one is wrong: there are 3 questions and any single one could be wrong. The probability that the first question is wrong is 2/3. And we know that the probabilities of the other two being right is 1/3 each, so the probability of just the first question being wrong and the others right is 2/3 × 1/3 × 1/3 = 2/27. But this is just one of the three cases: 1/3 × 2/3 × 1/3 and 1/3 × 1/3 × 2/3 also both equal 2/27 each. So here we add the cases together: 2/27 + 2/27 + 2/27 = 6/27 = 2/9. So the answer to part (a) of your question is 2/9.

To solve (b) Consider that (b) is the same as (a) with "all answers right" added in. So you can simply add answer (a) to the chance of guessing all answers correctly.

To solve (c) it might help you to think of the equivalent problem: what is the probability of getting 0 correct plus the probability of getting 1 correct?

6 0

3 years ago

SOLVE THIS PROBLEM, PLEASE! :(

pashok25 [27]

Answer:

1st Blank: 5

2nd Blank: 3

3rd Blank: -8

4th Blank: -8

5th Blank: 12

Step-by-step explanation:

15x+35y=-100

-15x+9y=-252

___________

44y=-352

___ ___

44 44

y=-8

3x+7(-8)=-20

3x-56=-20

+56 +56

__________

3x=36

__ __

3 3

x=12

8 0

3 years ago