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3 years ago

What is the property of 7+(a+b)=7+a)+b

2 answers:

7 0

The <u>associative property of addition</u> says that when every operation is addition, you can group numbers however you like and choose which pair of numbers to add first; you can move parentheses without changing the answer.

timofeeve [1]3 years ago

6 0

Communative Becasue It is the Opposits

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Divide. Give the quotient and remainder.<br> 2831 divided by 25

andrew11 [14]

Answer:

113 R 6

Step-by-step explanation:

6 0

3 years ago

Classify ABC by its sides. Then determine whether it is a right triangle.

m_a_m_a [10]

Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

$AB = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }$

AB = $\sqrt{(9-3)^{2}+(6-3)^{2} } = \sqrt{6^{2}+3^{2} } =\sqrt{45}$

Given vertices are B(6,9) and C( 6,-3)

$B C = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }$

= $\sqrt{(-3-9)^{2}+(6-6)^{2} } =\sqrt{12^{2} } = 12$

BC = 12

Given vertices are A(3,3) and C( 6,-3)

$AC = \sqrt{(6-3)^{2}+(-3-3)^{2} } = \sqrt{9+36} = \sqrt{45}$

AC² = AB²+BC²

45 = 45+144

45 ≠ 189

∴Given Δ ABC is not a right angle triangle

5 0

3 years ago

Marisol plans to make 9 mini-sandwiches for every 2 people attending her party. Write a ratio that is equivalent to marisol's ra

DedPeter [7]

A ratio is not multiplication, so I'm just going to throw that out there first in case any other answers trip you up.

9:2 is the correct answer because there are 9 sandwiches for 2 people.

3 0

4 years ago

A teacher used the change of base formula to determine whether the equation below is correct. (log2 10)(log4 8)(log10 4)=3

Misha Larkins [42]

Answer:

The equation is correct

Step-by-step explanation:

(log2 10)(log4 8)(log10 4)=3

Change of base formula

logb (x) = log10 (x)/ log10 (b)

Lets change all non base 10 logs to base 10 logs

(log2 10) = log10 (10)/ log10 (2)

We know that log10 (10 ) = 1 so

(log2 10) = 1/ log10 (2)

(log4 8) = log10 (8)/ log10 (4)

Now we can rewrite the original equation in all base 10

(log2 10)(log4 8)(log10 4)=3

1/ log10 (2) * log10 (8)/ log10 (4) * (log10 4)=3

I can cancel the log10 (4)/ log10 (4)

1/ log10 (2) * log10 (8)=3

log10 (8)/ log10 (2)

We know that 8 = 2^3

log10 (2^3)/ log10 (2) =3

Remember log a^b = b * log a

3 * log10 (2) / log10 (2) =3

We can cancel log 10 (2)/ log10 (2)

3=3

The equation is correct

7 0

3 years ago

Read 2 more answers

A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be m

Ilia_Sergeevich [38]

Answer:

3.71 m

Step-by-step explanation:

Here is the complete question.

A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece be?

Solution

This is a scale drawing question.

Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.

Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.

So, scale = 20 cm/10.6 m

= 0.2/10.6

= 1/53.

Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from

scale = Scaled size/Actual size.

So,

Actual size = Scaled size/scale

= 7 cm ÷ 1/53

= 53 ×7 cm

= 371 cm

= 3.71 m

5 0

3 years ago