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Ivan
3 years ago
7

Which statement is true ?

Mathematics
2 answers:
Lapatulllka [165]3 years ago
5 0
The product of two negative numbers is positive is your answer
Rus_ich [418]3 years ago
4 0
It is important to first understand the vocab they are using. You might already know these words, but I will write the basic definitions just to make sure. 

Quotient- a number that you get for an answer in a division problem.
Product- a number that you get for an answer in a multiplication problem.

Knowing this, which of the following statements is true?
1. The quotient of two negative numbers is negative. - FALSE ( For example, (-2/-1)=(1) ) a positive number one is our quotient.

2. The product of two negative numbers is positive. - TRUE ( the double negative creates a positive. For example, (-2×-3)= 6. The product "6" is positive.)

3. The quotient of a positive number and a negative number is positive. - FALSE ( Ex: (-1÷ 2)= (- \frac{1}{2}) The negative one half is our quotient and it is not positive.

4. The product of two numbers positive numbers is negative. - FALSE you need at a negative number that you in the multiplication in order to get a negative product.


Rule of thumb:

If you have an even amount of negative numbers present in a division or multiplication problem, the negatives will cancel each other out and create a positive outcome(quotient/product). 

If you have no negative numbers at all in a multiplication or division problem you will have a positive outcome. 

If you have an odd number of negative numbers, the outcome will be negative in an multiplication or division problem. 

Please comment below with any further questions you still have! 


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Sarah walks 20 feet away from her house and places a mirror on the ground. She backs 5 feet away from the mirror so that she can
Vikki [24]

Answer:

16 feet

Step-by-step explanation:

As said in the problem statement, the angles between the top of the house, the mirror, and the ground and between Sarah's eyes, the mirror, and the ground are congruent.

We also know that Sarah and the house are perpendicular to the ground.

So if we draw a triangle from the top of the house, to the mirror, to the bottom of the house, and another triangle from Sarah's eyes, to the mirror, to Sarah's feet, we get two triangles that have the same angles.  Therefore, the triangles are similar, and we can write a proportion:

4 / 5 = h / 20

h = 16

The house is 16 feet tall.

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3 years ago
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Find the exact value of cos2theta if sin2theta=3/4 and theta is between 0 and 90 degree
sammy [17]
<h2> <u>Answer</u> :</h2>

\boxed{  \boxed{ \cos {}^{2} ( \theta)  =  \dfrac{1}{4} }}

<h2><u>Solution</u> :</h2>

According to a Trigonometric Identity :

\hookrightarrow  \mathrm{\sin {}^{2} ( \theta)  +  \cos {}^{2} ( \theta)  = 1}

Now, let's solve for \cos²(\theta)

\longrightarrow \dfrac{3}{4}  +  \cos {}^{2} ( \theta)  = 1

\longrightarrow \cos{}^{2}( \theta)  = 1 -  \dfrac{3}{4}

\longrightarrow \cos {}^{2} ( \theta)  =  \dfrac{4 - 3}{4}

\longrightarrow \cos {}^{2} ( \theta)  =  \dfrac{1}{4}

\large\mathfrak{{\pmb{\underline{\orange{hope \:  \: it \:  \: helps \: \:  you.....}}{\orange{}}}}}

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3 years ago
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