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alekssr [168]
3 years ago
9

The diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters. what is the length of one side of the rhombus

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0
<span>Diagonals of a rhombus are perpendicular and bisect each other. This means this rhombus is composed of four right triangles with legs of length 6 cm and 8 cm, with their hypotenuses forming the perimeter of the rhombus. The Pythagorean theorem a^2+ b^2 = c^2 can be used to find the length of the hypotenuse. 6^2+8^2 = 36+64 = 100. The square root of 100 is 10, so the length of a side of the rhombus is 10 cm.</span>
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Answer:

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The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minu
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Complete the equation of the line through (−8,8), and (1,-10 ). Use exact numbers. Help me please my dog just died and I want to
katrin2010 [14]

Answer: (Mayadc821 wrote this anwser check theyre account for more)

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

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m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

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3 years ago
Evaluate the expression if m = 3.<br><br> 3m^2<br><br><br> (SHOW YOUR WORK)
iragen [17]

The value of given expression when m = 3 is 27

<h3><u>Solution:</u></h3>

Given expression is 3m^2

We have to evaluate the given expression for m = 3

To find for m is equal to 3, substitute m = 3 in given expression

From given expression,

\rightarrow 3m^2

Plug in m = 3 in above expression

\rightarrow 3(3)^2 ------ eqn 1

We know that,

a^2 can be expanded as,

a^2=a \times a

Applying this in eqn 1, we get

\rightarrow 3(3)^2=3 \times (3 \times 3)

Simplify the above expression

\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27

Therefore, for m = 3 we get,

\rightarrow 3(3)^2=27

Thus value of given expression when m = 3 is found

5 0
3 years ago
a worker's earring E are a function of the number of hour, H at a rate of 12/hr. write a function tule for the solution. How man
Romashka [77]

Answer:

E=12(H)

A person should work 32 hours to earn $384

Step-by-step explanation:

A worker's earring E are a function of the number of hour, H at a rate of 12/hr.

We need to write the function.

The function will be:

Earning is represented by E and Hour is represented by H

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Now, How many hours would a person have to work to earn 384

We are given E=384, we need to find H

Putting values in above function and finding hours H

E=12(H)\\384=12(H)\\H=\frac{384}{12}\\H= 32

So, A person should work 32 hours to earn $384

8 0
3 years ago
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