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Genrish500 [490]
3 years ago
6

What is the distributive property?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

The first option: A.) For any numbers a, b, and c, a(b + c) = ab + ac.

Step-by-step explanation:

So anytime that you have a number or letter in front of a set of parenthesis that has numbers within (such as the example problem of: a(b + c)), you need to take the number outside of the parenthesis (a) in this situation) and multiply it to all of the numbers inside the parenthesis, like this:

a(b + c).

Multiply a into b, then multiply a into c, so that the equation looks like this:

ab + ac.

I hope that this helps.

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Challenge: The perimeter of a semicircular patio is 35.98 ft. What is its radius? Use 3. 14 for a.
puteri [66]

Answer:

  7 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

The curved portion of a semicircle will be ...

  C/2 = (2πr)/2 = πr

The straight portion of the semicircular shape will be the diameter, or 2r. That means the total perimeter of a semicircular shape is ...

  P = πr +2r = r(π+2)

Then the radius is ...

  r = P/(π+2) = (35.98 ft)/(3.14+2) = 7 ft

The radius of the patio is 7 ft.

7 0
2 years ago
scott can reach 57 inches high. scott stands on box that is 16 inches high how many inches high can scott reach now?
kompoz [17]

Answer: 73 inches high

Step-by-step explanation: 57+16=73

4 0
3 years ago
Verify the identity:<br><br> cos(a+B)/cos a sin B = cot B -tan a
alexgriva [62]
Cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
5 0
4 years ago
2xy-xz=4 solve for x<br><br><br> Pls help due today
LenKa [72]

Hey there!

Answer:\boxed{x=\frac{4}{2y-z}}

Explanation:

2xy-xz=4 Solve for X

x(2y - z) Factor out the variable x

x(2y - z)/2y - z = 4/2y - z Divide both sides by 2y - z

x = 4\2y - z

Hope this helps!

4 0
4 years ago
A collection of quarters and nickels is worth ​$3.75. There are 27 coins in all. Find how many of each there are.
inysia [295]

Q +N =27

Q=27-N

0.25Q + 0.05N =3.75

0.25(27-N) + 0.05 =3.75

6.75-0.25N+0.05N=3.75

6.75-0.2N=3.75

-0.2N=-3

N=-3/-0.2 = 15

15 nickels

27-15 = 12

12 quarters

15x0.05 = 0.75

12 x 0.25 = 3.00

3.00 + 0.75 = 3.75


 12 quarters & 15 nickels

6 0
3 years ago
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