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agasfer [191]
3 years ago
6

The area of section 1 is _____ square feet, the area of section 2 is _____ square feet, and the area of section 3 is _____ squar

e feet.The area of the basketball court that needs to be repaved is ______ square feet.

Mathematics
2 answers:
nignag [31]3 years ago
7 0

Answer:32 ft

Step-by-step explanation:

lorasvet [3.4K]3 years ago
3 0

Answer:

The total area is 58 feet²; Area 1=12 feet²; Area 2=40 feet²; Area 3= 6 feet²

Step-by-step explanation:

<em>Area 1:</em>

We know one side of the rectangle is 4 feet. The top side of Area 2 is 10 feet. In between Area 1 and Area 3 there is a line labeled 4 feet. 10-4=6. Area 3 has a side labeled 3 feet, and since the line continues to be straight, the opposite side is also 3 feet. 6-3=3; The other side of Area 1 is 3 feet. 3×4=12, so the area is 12 feet².

<em>Area 2: </em>

One of the sides is labeled 10 feet, so we already have part of the equation. On the left side of the basketball court is 8 feet. One of the sides of Area 1 is four feet and a part of the 8 feet, so there are 4 feet left over for Area 2; 4×10=40, so the area of Area 2 is 40 feet².

<em>Area 3:</em>

We already know one side is 3 feet. We just need to find the other. The right side of the basketball court is labeled 6 feet. We know one of the sides of Area 2 is 4 feet, which is a part of the 6 feet; 6-4=2 and 2×3=6 so Area 3's area is 6 feet².

<em>Total Area:</em>

12+40+6=58; the total area is 58 feet².

Hope this helped.

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Maru [420]

Answer:

-2 and -7

Step-by-step explanation:

This problem is about using the Factoring X.

Two numbers will multiply to the number placed at the top. These same two numbers will add to the value placed on the bottom.

Let's look at the factors of 14.

1 • 14 = 14

2 • 7 = 14

Now let's look at their sums.

1 + 14 = 15

2 + 7 = 9

We can see that 2 and 7 multiply to 14 and add to 9.

However, we need them to add to -9.

Note that two negative numbers multiplied will become positive.

-2 • - 7 = 14

Now let's look at their sum.

-2 + (-7)

Simplify the negative.

-2 - 7 = -9

We can see that -2 and -7 multiply to 14 and add to -9.

Hope this helps!

4 0
2 years ago
What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?​
Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

 Given the equation:

\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}

- Using the Difference of squares formula (a^2-b^2=(a+b)(a-b)) we can simplify the denominator of the right side of the equation:

\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}

- Multiply both sides of the equation by (m+3)(3-m) and simplify:

\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}

- Multiply both sides by m-3:

(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)

- Apply Distributive property and simplify:

(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0

- Divide both sides of the equation by -6:

\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0

- Factor the equation and solve for "m":

(m-3)^2=0\\\\m=3

In order to verify it, you must substitute m=3 into the equation and solve it:

\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}

<em>NO SOLUTION</em>

7 0
2 years ago
The square root of a number is between 18 and 19
astraxan [27]
Then the number must be between 18² = 324 and 19² = 361. But is that what you want to know?
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3 years ago
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svlad2 [7]

I'm not sure what you mean by difference, so I am guessing you meant to write "distance". If this is not the case, then feel free to report me. Anyway, to find the distance between two points you would use the distance formula.

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Let's substitute our point coordinates into the formula. We'll substitute -1 and 6 for x_2 and x_1, and 14 and 16 for y_2 and y_1. After substituting, your formula will now look like: d=\sqrt{(-1-6)^2+(14-16)^2}.

d=\sqrt{(-1-6)^2+(14-16)^2}

Subtract the coordinates.

d=\sqrt{(-7)^2+(-2)^2}

Square the subtracted coordinates.

d=\sqrt{49+4}

Add 49 and 4.

d=\sqrt{53}

Square root 53 and round the answer to the nearest tenth.

7.28 becomes 7.3.

7.3 units is the distance between points M and Z.

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3 years ago
Help! Geometry Triangle Congruence
Feliz [49]

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

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Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)

7 0
2 years ago
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