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jeka94
3 years ago
5

What is the simplified form of the expression?

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Question 2 options:

x33

729x29

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The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.
lianna [129]

Answer: Area of rectangle is 50 square units.

Step-by-step explanation:

Since we have given that

Diagonal of the rectangle = 5√5

Let the width of rectangle be 'x'

Let the length of rectangle be '2x'

As we know the formula for diagonal of rectangle:

5\sqrt{5}=\sqrt{l^2+w^2}\\\\(5\sqrt{5}})^2=(2x)^2+x^2\\\\125=4x^2+x62\\\\125=5x^2\\\\\dfrac{125}{5}=x^2\\\\25=x^2\\\\x=\sqrt{25}\\\\x=5\ units

So, Length of rectangle be 2x=2×5=10 units

And the area of the rectangle is given by

Area=Length\times width\\\\Area=10\times 5\\\\Area=50\ sq.\ unit

Hence, area of rectangle is 50 square units.

5 0
2 years ago
Evaluate 4m-10-8=-2+12
expeople1 [14]

Answer:

Step-by-step explanation:

4m-10=-2+12

4m=-2+12+10

m=20/4

m=5

4 0
2 years ago
Read 2 more answers
Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, eighteen of them ar
Luba_88 [7]

Answer:

Probability [Randomly choose plant Juan's mother want] = 3 / 5

Step-by-step explanation:

Given:

Total number of plant in store = 30 plants

Number of plant kind Juan's mother want = 18

Find:

Probability [Randomly choose plant Juan's mother want]

Computation:

Probability of an event = Number of favorable outcome / Total number of outcomes

Probability [Randomly choose plant Juan's mother want] = Number of plant kind Juan's mother want / Total number of plant in store

Probability [Randomly choose plant Juan's mother want] = 18 / 30

Probability [Randomly choose plant Juan's mother want] = 3 / 5

7 0
2 years ago
A is directly proportional to b such that a = 2b. what is a if B =3? Also, what is b if a =7?
Papessa [141]
If b was 3 a will be 6 because 2*3=6
and for the second part b will be 3.5 because 2*3.5=7
5 0
3 years ago
Read 2 more answers
Find the reciprocal of the number. Multiply to check your answer.
Mars2501 [29]
To find the reciprocal of a fraction, you just need to "flip" it. To check your work, you multiply the fraction and the reciprocal to get 1.

the reciprocal if 2/3 is 3/2

\frac{2}{3} * \frac{3}{2} = \frac{6}{6} = 1


The answer is B
5 0
3 years ago
Read 2 more answers
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