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3 years ago

Evaluate each expression for a= 5, b= 12, and c= 2.

Mathematics

2 answers:

mafiozo [28]3 years ago

5 0

2*12/2+3*5
24/2+3*5
12+3*5
12+15
=27

Alborosie3 years ago

4 0

Answer:

2b ÷ c + 3a = 27

Step-by-step explanation:

Given that a= 5, b= 12, and c= 2.

To solve 2b divided by c+ 3a i.e 2b ÷ c + 3a

we will need to substitute a with the value of a which is 5, substitute b with the value of b which is 12 and c with the value of c which is 2.

Therefore we will have:

2b ÷ c + 3a to be

2(12) ÷ 2 + 3(5)

= 24 ÷ 2 + 15

Recall that in order of operations BODMAS, Bracket, of, division, multiplication, addition and subtraction.

Division come in before addition

So,

= 24 ÷ 2 + 15

= 12 + 15

= 27

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The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

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The distance between the foot of ladder and the wall will be the base

So,

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Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

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