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3 years ago

Please help me with this !!

Mathematics

1 answer:

Sergio [31]3 years ago

3 0

Answer: AC = 7√3

tan 30° = $\frac{BC}{AC}$

=> $\frac{BC}{AC}=\frac{1}{\sqrt{3} }\\\\\=> AC=BC\sqrt{3} =7\sqrt{3}$

Step-by-step explanation:

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Which of the following conjectures is false?<br>Please give a counterexample!<br>Thank youuu

MakcuM [25]

Which of the following conjectures is false?

Solution: The false conjecture is:

J. The sum of two odd numbers is odd

Explanation:

F. The product of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The product of two even numbers is:

$4 \times 6 = 24$

Therefore, the product is also even number. Hence the conjecture is true.

G. The sum of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The sum of two even numbers is:

$4+6 = 10$

Therefore, the sum is also even number. Hence the conjecture is true.

H. The product of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The product of two odd numbers is:

$3\times5 = 15$

Therefore, the product is also odd number. Hence the conjecture is true.

J. The sum of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The sum of two odd numbers is:

$3+5= 8$

Therefore, the sum is not an odd number. Hence the conjecture is false.

6 0

3 years ago

Use the graph below to fill in the blank with the correct number

Contact [7]

Where is the graph to fill in

4 0

3 years ago

0.00456 scientific notation

taurus [48]

Answer:

4.56 × 10^ − 3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3 0

3 years ago

HELP PLEASE ITS THE ONLY QUESTION I NEED!!

insens350 [35]

Because the order doesn't matter on where each person sits use the combinations formula:

C = n! / (r!(n-r)!)

Where n is the total number of people and r is the number of chairs.

C = 6! / (4!(6-4)!)

C = (6*5*4*3*2*1) / ((4*3*2*1(2*1))

C = 720 / (24*2)

C = 720 / 48

C = 15

There are 15 different arrangements.

6 0

3 years ago

Read 2 more answers

2x^2-13x-24 factor the polynomial<br><br> Explain please

vovangra [49]

Answer:

(x - 8)(2x + 3)

Step-by-step explanation:

To factor a polynomial of the form

ax² + bx + c,

follow these steps:

1) Multiply ac together.

2) Find 2 factors of ac that add to b. Call these factors p and q.

3) Break up the middle term of the polynomial into px + qx.

4) Factor by grouping.

Now let's follow the steps above with your problem.

You are given the polynomial

2x² - 13x - 24,

so a = 2, b = -13, and c = -24

1) Find ac.ac is the product 2(-24) = -48

2) Now we need to find 2 factors of -48 that add to b, -13.

I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have

-16 + 3 = -13

and -16 × 3 = -48.

3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.

The polynomial is now

2x² - 16x + 3x - 24

4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.

2x² - 16x + 3x - 24 =

= 2x(x - 8) + 3(x - 8)

We now see the common factor of x - 8, so we factor that out.

= (x - 8)(2x + 3)

Answer: (x - 8)(2x + 3)

8 0

3 years ago