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svlad2 [7]
2 years ago
14

A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a r

ectangle?
-9
09
O-3
O3
Mathematics
1 answer:
KIM [24]2 years ago
3 0

The value of y that ensures the pool is a rectangle is 3. Option D

<h3>How to determine the value</h3>

The formula for perimeter of a rectangle is expressed as;

Perimeter = 2 ( length + width)

It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.

Given the sides as;

  • AC = 5y + 6
  • BD = 8y-3

5y + 6 = 8y -3

collect like terms

5y - 8y = -3 - 6

-3y = -9

Make 'y' the subject

y = 3

Thus, the value of y that ensures the pool is a rectangle is 3. Option D

Learn more about rectangles here:

brainly.com/question/25292087

#SPJ1

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A right rectangular prism's edge lengths are 10.5 inches, 5 inches, and 2 inches. How many unit cubes with edge lengths of .5 in
Ede4ka [16]

Answer:

840 cubes

Step-by-step explanation:

First we need to find the volume of each one:

Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3

Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3

Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:

Number of cubes = 105 / 0.125 = 840 cubes

6 0
3 years ago
Find the equation of the line passing<br> through the points (2, 1) and (5, 10).<br> y = [? ]x + [ ]
sladkih [1.3K]

Answer:

y=3x-5

Step-by-step explanation:

m=10-1/5-2

m=9/3

m=3

y=3x+b

x=2, y=1

1=3(2)+b

1=6+b

-5=b

y=3x-5

8 0
3 years ago
The sum of three consecutive even integers is -114.
Alika [10]
The sum of three consecutives is b 
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3 years ago
Select all the sets of numbers that are possible values for x in the inequality, x&gt;- 2.
lana66690 [7]

Answer:

{-1, 0,5}

Step-by-step explanation:

3 0
2 years ago
Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate
Delvig [45]
Ok, so IDK if I'm about to do this problem right, but here we go;


so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.  

3.66666, 3.6, 3.5, 3.375.  

Now, change them back to fractions.  
3 2/3, 3 3/5, 3 1/2, 3 3/8


So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem! 
6 0
3 years ago
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