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3 years ago

|a-i|= the square root of 37

Mathematics

1 answer:

wlad13 [49]3 years ago

8 0

Answer:

well the square root of 37 is 6.083

Step-by-step explanation:

for this problem I use 6 since 6×6=36 then that my ewser 6 because if I go one higher I am going to 37

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The sum of two numbers is odd. Can the quotient of the two numbers be an odd number?

Natalka [10]

Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

4 0

3 years ago

What is the area of this figure?

nalin [4]

Answer:

290.5 square miles

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$

Solution; 290.5 square miles

4 0

3 years ago

I need help with this problem

Soloha48 [4]

Answer:

$3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}$

$4. -18\\5.\ 400$

Step-by-step explanation:

Solution 3:

Equivalent fractions to are to $\frac{3}{11}$ be found out.

Method: By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.

1. Multiply with 2:

$\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}$

2. Multiply with 3:

$\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}$

3. Multiply with 4:

$\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}$

If we try to write in variable form, it can be written as:

$\dfrac{3x}{11x}$

where x is any number.

---------------

Solution 4:

$(2x-10)$ when $x=-4$

$2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18$

------------

Solution 5:

$(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400$

4 0

3 years ago

Suppose the scores on a trivia quiz are normally distributed with a mean of 80 and a standard deviation of 5.

Kitty [74]

I think it would be scores below 75

8 0

3 years ago

Describe a time when someone around you made a decision based on authority of someone else?

dalvyx [7]

There was a time that a friend of mine got to a decision because the leader of the group said so (it was a group project). Although it was clear that he did not want to comply to the decision, he made it because it was what the leader said so.

8 0

3 years ago

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