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Makovka662 [10]
3 years ago
9

Find an equation of the line with an undefined slope and passes through the point (3, -4).

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0
Undefined means it goes through the x intercept, x=3
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A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small
SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0
3 years ago
What is the distance between the points (0,1) and (8,7)?
andrew11 [14]

Answer:

The answer is 10.

Step-by-step explanation:

4 0
3 years ago
2. Saul invested an average of $425 per month since age 30 in various securities for his
BabaBlast [244]

Answer:

$507.30

Step-by-step explanation:

-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.

-The amount of the investment after 30 years is calculated as;

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65

-Assuming Saul started saving at age 20, his investment term will be 40 yrs.

-His investment amount is thus:

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95

#We subtract to find how much more he would have if he started saving at 20;

=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

5 0
3 years ago
Find the Surface Area and Volume of this box: SHOW YOUR WORK PLEASE!
konstantin123 [22]
A=2(wh+lw+lh)
l=8m
w=3m
h=2m

A=2((3m)(2m)+(8m)(3m)+(8m)(2m))
A=2((6m)+(24m)+(16m))
A=2(46m)
A=92m

Area is 92m
5 0
3 years ago
Read 2 more answers
What's the place value of 7 in 3,729,760
Vadim26 [7]
The value of the 7 are

one of them is one hundred thousand

the other one is one hundred
3 0
3 years ago
Read 2 more answers
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