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3 years ago

Mr. Ali bought a new house and wanted to place new grass on his lawn

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

13600 ft^2

Step-by-step explanation:

200*80 = 16000 Ft^2

60*40 = 2400 ft^2

16000 - 2400 = 13600 ft^2

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A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 ite

Charra [1.4K]

Answer:

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

$C_{10,2} = \frac{10!}{2!(10-2)!} = 45$

4 0

3 years ago

Think about the expression (x-8)(x+4)

Softa [21]

Answer:

x*x +4*x-8*x -8*4

x^2+4x-8x-32

x^2-4x-32

4 0

3 years ago

What is the value of x? A.86 B.60 C.52 D.26

Nadya [2.5K]

First of all in order for us to figure out what angle x is we need to find the formula for finding that specific type of angle.

Formula is...

x = (far arc - close arc) ÷ 2

Now we just need to plug in.

x = (172° - 52°) ÷ 2 =

x = 120° ÷ 2 = 60°

Your answer: x = 60°

Good Luck! :)

❤️ ❤️ ❤️

6 0

3 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

6 0

3 years ago

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What is the area of the rectangle

aliya0001 [1]

a^4+2a+8 because if you combine like terms that is what you get

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3 years ago

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