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AveGali [126]
3 years ago
5

What is the value of the expression shown below?

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

It should be

Step-by-step explanation:

<h2><u><em>C.</em></u></h2><h2>11 1/8</h2>
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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

Therefore, the 9th triangle has an area greater than 15000cm^2.

5 0
3 years ago
Which fraction is equivalent to -3/2?
mel-nik [20]
3/-2 so the first option
5 0
3 years ago
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What is the pattern in this sequence?
Sladkaya [172]

Answer in #1 it ads up by 8


5 0
3 years ago
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Find the product of (-8) and (-13)
KiRa [710]
To find this you can always use a calculator, if your teacher allows you to. Just remember to punch in the negative signs correctly and don't mistake them for subtraction signs. Also if you don't know what product means, that means the answer of a multiplication problem so for example 9 is the product of 3x3 or 5 is the product of 5x1. The answer to your question is 104. Maybe next time you can solve it on your own! :) 
4 0
3 years ago
5. Five-eighth of a number is 15. What is the number?<br> Your answer
anygoal [31]

Answer:

I think it is 24

Step-by-step explanation:

15÷5=3

3×8=24

6 0
3 years ago
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