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VMariaS [17]
3 years ago
12

The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while Set B

represents parallelograms with four congruent angles. How many of the parallelograms fall into the category A B?

Mathematics
2 answers:
poizon [28]3 years ago
6 0

Answer:

Step-by-step explanation:

The Answer is 26 on e2020

alexdok [17]3 years ago
5 0

Answer:

U  ={ Parallelograms}

A= { Parallelogram with four congruent sides}={ Rhombus,Square}

B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}

So, AB= { Square}

So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.



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And also this one too Thank you I'll name this first person brainliest
Advocard [28]

Answer:

Rectangular prism

Step-by-step explanation:

6 0
3 years ago
I will give lots of points please help
aalyn [17]

Answer:

a)  81π  in³

b)  27  in³

c)  divide the volume of the slice of cake by the volume of the whole cake

d)  10.6%

e)  see explanation

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

The cake can be modeled as a <u>cylinder </u>with:

  • diameter = 9 in
  • height = 4 in

\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}

<h3><u>Part (b)</u></h3>

\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}

<h3><u>Part (c)</u></h3>

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}

<h3><u>Part (d)</u></h3>

Probability is approximately 10.6%  (see above for calculation)

<h3><u>Part (e)</u></h3>

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>.  So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0
2 years ago
PLEASE HELP ME I BEG YOU !!!
boyakko [2]
Hi,

f(x)=\log(x)   FALSE

f(x)=\log(x-4)+1  TRUE

→  f(x)=\log(x-2)

f(x)=\log(x+2)  FALSE

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4 0
3 years ago
Read 2 more answers
Is this relation a function justify your answer
Karo-lina-s [1.5K]
No because there is absolutely no correlation
4 0
3 years ago
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Simplify: (x + 3)(+ 2)
Alinara [238K]

Answer:

<h2><u><em>2x + 6</em></u></h2>

Step-by-step explanation:

Simplify: (x + 3)*(+ 2)

(x + 3)*(+ 2) =

2x + 6

4 0
2 years ago
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