1. Which of the following expressions is equivalent to 3 + 3×12 ÷ 4×3?

1 answer:

6 0

To find which one is equivalent to 3+3*12/4*3, we need to first evaluate and then compare to other expressions to find which one is equivalent to the expression. Using PEMDAS, we first do the multiplication and division, and then do addition.
3+3*12/4*3 = 3+36/4*3 = 3+9*3 = 3+27 = 30
Now that we know what the expression equals to, we can evaluate other equations until we find the same answer.
6*12/4*3=72/4*3=18*3=48
3+3*12/12=3+3*1=3+3=6
3+3*3*3= 3+27*3=3+81=84
3/36/4*3=9/36/4= 1/4/4 = 1/4*1/4 = 1/16
None of them are equivalent
Hope this helps

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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,

maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles: $40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2$

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

$A(n)=40\cdot1.5^{2(n-1)}$

We want to determine which triangle has an area greater than $15000cm^2$ .

When A(n)=15000

$40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31$