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Sagot :
Answer:
87.92
Step-by-step explanation:
We are given this expression:
3.14(a² + ab)
And we want to evaluate it if a is 4 and b is 3.
To solve this, we need to follow the order of operations, usually known as PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in the United States, although other countries have their own variations on the acronym.
Despite this, let's start with P, which would be parentheses.
Because we have the a² + ab in parentheses, we should evaluate this first.
We should substitute the values of a and b with 4 and 3 respectively, to get this (we can ignore the 3.14 for now):
(4)² + 4 * 3
First, let's go on to exponents.
We do have one exponent, which is the 4 being raised to the second power.
So let's evaluate that.
Raise 4 to the second power (multiply it by itself).
4 * 4 = 16
We can replace (4)² with 16.
16 + 4 * 3
Now, let's move on to multiplication.
We do have one multiplication operation, which is the 4 * 3, so let's evaluate that.
4 * 3 = 12
Replace 4 * 3 with 12.
16 + 12
We don't have any division in this, so we can skip that.
Moving on to addition:
We can add these two numbers together.
16 + 12 = 28
28 is the value of a² + ab.
We now multiply this by 3.14 to get the answer.
3.14 * 28 = 87.92
Topic: substituting values into an expression
See more: https://brainly.com/question/28001277
The value of expression 3.14([tex]a^{2}[/tex]+ab) when a =4 and b=3 is 87.92.
Given Expression :3.14([tex]a^{2}[/tex]+ab) and we have to find the value at a=4 and b=3
we know expressions are the combinations of numbers, symbols and coefficients and in the expression given the variable are a and b .Expression shows the relationship between the variables which are present in the expression. When we have to find the value of expression at a=4 and b=3 we have to just put the values of a and b in the expression .
[tex]a^{2}[/tex]=16 and ab=4*3=12
=3.14[tex]((4)^{2}+4*3)[/tex]
=3.14(16+12)
=3.14*28
=87.92
Hence the value of the expression 3.14(a2 + ab) at a=4 and b=3 is 87.92.
Learn more about expressions at https://brainly.com/question/723406
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