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3 years ago

Rewrite the expression 2(x + 5) using the Distributive Property.

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:

2x + 10

Step-by-step explanation:

To expand (using the distributive property) multiply the number outside the bracket i.e. in this case '2', with the values inside the brackets.

So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.

2(x + 5)

= (2*x)+(2*5)

=2x+10

extention note: be careful when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.

an example

2(x-5)

= (2*x)+(2*-5)

=2x -10

Anyhow, I hope this helped!

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Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the

sammy [17]

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

4 0

3 years ago

Triangle ABC has perimeter 22cm

ASHA 777 [7]

9514 1404 393

Answer:

not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

AB +BC +CA = 22

8 + 5 + CA = 22

CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)