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sladkih [1.3K]
3 years ago
6

Help with properties of rhombus,rectangles and squares ​

Mathematics
2 answers:
alex41 [277]3 years ago
7 0

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

This is a rhombus. A property of a rhombus is that their diagonals perpendicularly bisect each other. In other words, if the point in the center is A, then HA = MA and EA = OA. So: 3 = a and 4 = b.

Since angle HAO forms a right angle, we can use the Pythagorean Theorem to say that HA^2 + AO^2 = OH^2: 3^2 + 4^2 = 9 + 16 = 25.

OH^2 = 25

OH = 5

Hope this helps!

Stells [14]3 years ago
5 0

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

Rhombus has all sides equal

c = EH = sqrt(4² + 3²) = 5

Diagonals are Perpendicular bisectors of each other

b = 4

a = 3

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A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai
liubo4ka [24]
Keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr}
\\\\\\
\cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\
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\textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1
6 0
3 years ago
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65
erma4kov [3.2K]

Answer:

Probability that the sample average is at most 3.00 = 0.98030

Probability that the sample average is between 2.65 and 3.00 = 0.4803

Step-by-step explanation:

We are given that the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85.

Also, a random sample of 25 specimens is selected.

Let X bar = Sample average sediment density

The z score probability distribution for sample average is given by;

               Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 2.65

           \sigma  = standard deviation = 0.85

            n = sample size = 25

(a) Probability that the sample average sediment density is at most 3.00 is given by = P( X bar <= 3.00)

    P(X bar <= 3) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{3-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z <= 2.06) = 0.98030

(b) Probability that sample average sediment density is between 2.65 and 3.00 is given by = P(2.65 < X bar < 3.00) = P(X bar < 3) - P(X bar <= 2.65)

P(X bar < 3) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{3-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z < 2.06) = 0.98030

 P(X bar <= 2.65) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{2.65-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z <= 0) = 0.5

Therefore, P(2.65 < X bar < 3)  = 0.98030 - 0.5 = 0.4803 .

                                                                             

8 0
4 years ago
The double number line shows that Toni can type 180 words in 2 minutes.
NeTakaya

Answer:

270 words per minute

Step-by-step explanation:

It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).

Thus, in the same ratio/rate, Toni would be able to type:

90 * 3 = 270 words per minute.

Correct answer 270 wpm

8 0
3 years ago
Read 2 more answers
Plz help me get the right answer
Angelina_Jolie [31]

Hello!

Explanation:

First, you had to do is multiply by 3 from both sides of an equation.

3*\frac{1}{3}b=4*3

And then simplify by equation form. You can also multiply by the numbers.

4*3=12

12/3=4

12/4=3

3*4=12

Answer: b=12

<u><em>*The answer must have a positive sign.*</em></u>

Hope this helps!

Thanks!

-Charlie

8 0
3 years ago
Read 2 more answers
What is -4(5x-3)+12 simplified
Lera25 [3.4K]

The simplified form of the given expression -4(5x-3)+12 would be 20x+24.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

-4(5x-3)+12

Open the bracket

-20x+12+12

Solve the like terms;

20x+24

Hence, the simplified form of the given expression -4(5x-3)+12 would be 20x+24.

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

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7 0
2 years ago
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