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2 years ago

Find the common ratio for the following geometric sequence 7,3.5,1.75,0.875

Mathematics

2 answers:

Serhud [2]2 years ago

4 0

Answer:2

Step-by-step explanation:

7/2= 3.5

3.5/2= 1.75

1.75/2= 0.875

Amiraneli [1.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

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natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

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p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

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$d=\sqrt{(-3)^{2}+(3)^{2}}$

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step 4

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p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

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$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

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2 years ago

A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.

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To find this answer, we should subtract 2 1/2 from 3 1/4. The simplest way to do this is to turn them into improper fractions, found the least common denominator, and subtract the numerators.

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The least common multiple is 4, so we should multiply the numerator and denominator of 5/2 by 2.

5/2=10/4

Now we can just subtract the numerators.

13/4-10/4=3/4

Using the math above, we can see that it saves D. 3/4 hours.

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3 years ago

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