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Kobotan [32]
3 years ago
5

A rectangle and an equilateral

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

The area of the rectangle = 50 cm^2.

Step-by-step explanation:

Let the shortest side of the rectangle be x cm.

Perimeter of the rectangle is:

2x + 2(x + 5).

Perimeter of the triangle =  3 * 2x.

As they have the same perimeter:

2x + 2(x + 5) = 3*2x

2x + 2x + 10 = 6x

6x - 2x - 2x = 10

2x = 10

x = 5 cm.

So the area of the rectangle = x(x + 5)

= 5 * 10

= 50 cm^2.

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Solve for a.
egoroff_w [7]

Answer: a=\sqrt{\frac{30}{23} }

Step-by-step explanation:

23a^2=30

Divide by 23

a^2=\frac{30}{23}

Extract the square root.

a=\sqrt{\frac{30}{23} }

3 0
3 years ago
18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?
sweet-ann [11.9K]

Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

5 0
2 years ago
Please help! Thank youuuu!
ExtremeBDS [4]
F(x) = 3x² + 6x - 1

The graph is a parabola open upward (a= 3>0) with a minimum.

Calculate the vertex:

x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:

y = 3x² + 6x - 1

y = 3(-1)² + 6(-1) -1

y= 3 - 6 -1 and y = - 4,

Ten the vertex (minimum) is at (-1,- 4)


4 0
3 years ago
What is the probability that a student eye color would be blue if their grade in physics is A? A two way table is presented belo
Zarrin [17]
The <u>correct answer</u> is:

16/45.

Explanation:

We want the probability that a student's eye color is blue if they made an A in physics.  This means we look at the column for students with an A.

There are 32 students with blue eyes in the A column.

This is out of 32+58=90 students that made an A.

This makes the probability 32/90, which simplifies to 16/45.
8 0
2 years ago
A tennis player gets an ace on 35% of his serves. Out of 80 serves about how many aces will he get
kari74 [83]

Answer:

28

Step-by-step explanation:

His aces on 80 serve = 35% of 80

= 35/100 × 80

= 28

7 0
3 years ago
Read 2 more answers
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