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2 years ago

On a number line, A is at -2 and B is at 4.

1 answer:

3 0

It would be at 2. Here is why: -2 and 4 are 6 places away from each other. Now divide that by 3 (for the thirds). so each third is 2. Now thirds 2will be four, so add that to -2 and you get 2.

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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

Your mother gave you a $150 to spend. You bought a pair of shoes for $60 and 3 blouses for $25 each and had to pay the 10% sales

ch4aika [34]

No you cannot because the clothes alone with sales tax are $148.50, and you would need 20 more dollars plus 5 dollars for a meal for yourself if you wanted one.

3 0

3 years ago

Read 2 more answers

Simplify the expression 3 (5x)

Dovator [93]

Answer:

15x

Step-by-step explanation:

i just know (100% positive)

3 0

2 years ago

Read 2 more answers

Reduce the fractions using the greatest common factor 7 over 12

Airida [17]

Answer:

7/12 cannot be reduced

Step-by-step explanation:

7 = 7

12 = 2 * 2 * 3

7 and 12 have no common factors other than 1, so the fraction 7/12 cannot be reduced. 7/12 is already written in lowest terms.

4 0

2 years ago

2/3 divided by 1/4 <br> as a fraction! HURRY!!!

a_sh-v [17]

Answer:

2 2/3

Step-by-step explanation:

7 0

2 years ago