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3 years ago

12

Determine if the statement is true or false. If a linear system has the same number of equations and variables, then it must hav

e a unique solution. True False

1 answer:

jeyben [28]3 years ago

6 0

Answer: false

Step-by-step explanation: because just because has the same number of equations and variables doesn't mean it has a unique solution

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Convert 40/7 into a mixed number

algol13

Answer:

5 5/7

Step-by-step explanation:

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3 years ago

Find the decimal equivalent of -12/5 and 6 1/2

Flura [38]

Answer:

-12/5 = -1 2/5 = -1.4 and 6 1/2 = 13/2 = 6.5

Step-by-step explanation:

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3 years ago

What is the LCD in the equation?

Sergeu [11.5K]

Answer:

$2m^2$

Step-by-step explanation:

$\frac{1}{2m^2} -\frac{1}{m} =\frac{1}{2}$

$\frac{1}{2m^2}-\frac{2m}{2m} (\frac{1}{m}) = \frac{m^2}{m^2} (\frac{1}{2})$

$\frac{1}{2m^2}-\frac{2m}{2m^2} =\frac{m^2}{2m^2}$

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3 years ago

Find the surface area of the solid formed by the net. Round your answer to the nearest hundredth.

-BARSIC- [3]

Answer:

<h2>The area of the total figure is around 535.43 square centimeters.</h2>

Step-by-step explanation:

In the image attached, you can notice that all rectangles have a base of 20 centimeters.

Also, each side of the equilaterals triangles is 8 centimeters.

Notice that the height of each rectangle is equal to a side of a triangle.

Using all given vales, the area of each rectangle is

$A_{rectangle}=b\times h=20 \times 8 =160 cm^{2}$

The area of all rectangles is

$A_{rectangles}=3(160cm^{2})=480 cm^{2}$ , because there are three rectangles in total.

The area of each triangle is

$A_{triangle }=\frac{\sqrt{3} }{4} (8cm)^{2} =\frac{\sqrt{3} }{4}(64cm^{2} )\\A_{triangle }=16\sqrt{3} cm^{2}$

The area of both triangles is

$A_{triangles}=2(16\sqrt{3}cm^{2} )=32\sqrt{3} cm ^{2}$

Now, the area of the whole figure is the sum of the area of triangles and rectangles

$A_{total}=480cm^{2} +32\sqrt{3} cm^{2} \approx 535.43 cm^{2}$

Therefore, the area of the total figure is around 535.43 square centimeters.

7 0

3 years ago

Robert is in charge of the community swimming pool. Each spring he drains it in order to clean it. Then he refills the pool,whic

Scorpion4ik [409]

Answer:

Robert will fill the pool in 200 hours at a constant rate.

Step-by-step explanation:

120000 divided by 10 is 12000, then you divide that by 60 to go from the number of minutes to hours which equals 200. It's at a constant rate because it's 10 gallons PER minute.

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3 years ago