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AveGali [126]
3 years ago
5

Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4

Mathematics
2 answers:
Verdich [7]3 years ago
7 0

Answer: 243

Step-by-step explanation:

We have the expression

3(a + b + c)^2

Note that the expression depends on 3 variables

a, b and c

in this case we want to evaluate the expression for

a = 2\\b = 3\\c = 4

Then change the variable a by the number 2, the variable b by the number 3 and the variable c by the number 4

So we have

3(2 + 3 + 4)^2

Now simplify the expression

3(9)^2

3*81=243

The answer is 243

My name is Ann [436]3 years ago
3 0

ANSWER

243

EXPLANATION

The given expression is

3 {(a + b + c)}^{2}

We want to evaluate this expression for:

a = 2, b = 3, and c = 4.

We substitute the given values into the expression to get:

3(2 + 3 + 4)^{2}

Let us perform the addition inside the parenthesis to get:

3(9)^{2}

3(81) =24 3

Therefore the given expression evaluates to:

243

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We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment

using the pythagorean theorem we have that

\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}

Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.

Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.

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6 0
1 year ago
A garage door is 16 feet wide; the scale is 2 inches = 1 foot. How wide is the door on the scale drawing? Door = ________ inches
emmainna [20.7K]

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A. 4.5 B. 10 C. 5 D. None of the above ??
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8 0
3 years ago
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kondaur [170]

Answer:

the probability that the exceeded 65 = 0.3707

The average score of the 36 golfers exceeded 65

                        = 36 X 0.3707 = 13.3452

Step-by-step explanation:

<u>Step 1</u>:-

The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.

mean (μ) = 64

standard deviation (σ) =3

by using normal distribution

given (μ) = 64 and  (σ) =3

i) when x =65

z = \frac{x-mean}{S.D} = \frac{65-64}{3} = 0.33 >0

P( X≥ 65) = P(z≥0.33)

              = 0.5 - A(z₁)

              = 0.5 - 0.1293 (see normal table)

             = 0.3707

The average score of the 36 golfers exceeded 65

                        = 36 X 0.3707 = 13.3452

                                               

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