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2 years ago

Can the ratio of a parents age to his/her child's age ever be exactly 3:2? Explain.

2 answers:

8 0

Sure:
90 year old parents : 60 year old children (had kids at 30; very reasonable)
60 year old parents : 40 year old children (had kids at 20; unlikly but possible)
45 year old parents : 30 year old children (had kids at 15; very unlikly but not impossible)

Alisiya [41]2 years ago

4 0

Yes. If your parent is 90 then it means you are 60. Which then means that they had you when they were 30 which is normal.

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A triangle has sides with lengths of 65 centimeters, 74 centimeters, and 97 centimeters. is it a right triangle?

slava [35]

Nah, it's not a right triangle because, the longest side can't insitude its self

7 0

2 years ago

Can u help me thanks u

vovikov84 [41]

1 1/2=
1.5

1.5 * 3 =

4.5

7 0

2 years ago

Rochelle can run 800 meters in 5 minut

Semmy [17]

To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.

She runs 160 meters in one minute.

We want to know how many meters she can run in 9 minutes.

160 * 9 = 1,440

She can run 1,440 meters in 9 minutes.

8 0

3 years ago

The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.

adelina 88 [10]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

The sum of an infinite geometric series is expressed according to the formula;

$S_\infty = \dfrac{a}{1-r}$ where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as $S_\infty = 3a$

Substitute $S_\infty = 3a$ into the formula above to get the common ratio r;

$3a = \dfrac{a}{1-r} \\\\$

$cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\$

open the parenthesis

$3 - 3r = 1\\\\$

subtract 3 from both sides

$3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}$

Hence the common ratio of this series is $\frac{2}{3}$

3 0

2 years ago

your friend says that the volume of a sphere with a radius r is four times the volume of a cone with radius r. when is this true

Ierofanga [76]

Volume of a sphere is given by the formula: $V_{\circ}=\frac43\pi r^3$

If we pull the 4 out front we have, $V_{\circ}=4\left(\frac13\pi r^3\right)$ .

Volume of a cone is given by the formula: $V_{\triangle}=\frac{1}{3}\pi r^2\cdot h$

Notice that if the height of the cone is equal to the radius, $V_{\triangle}=\frac13\pi r^2\cdot r$

then it's exactly what we see in our volume formula without the 4!

7 0

2 years ago