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3 years ago

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm?

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

Answer:

v = 2034.72 mm³

Step-by-step explanation:

radius = 18mm

height = 6mm

pi = 3.14

v = πr²h/3

v = 3.14 * (18mm)² x 6mm/3

v = 3.14 * 324mm² x 2mm

v = 2034.72 mm³

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A circle with area 100π has a sector with a central angle of 2/5π radians.

Snowcat [4.5K]

Answer:

20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

sector area = (circle area)( sector angle / whole circle angle)

= (100π)(2/5π)/(2π)

= (100π)(1/5)

sector area = 20π

3 0

3 years ago

PLEASE HELP!!!

Pachacha [2.7K]

1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle

2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
4/2=2
JM 2+2/-3+5
4/2=2
The quadrilateral is a parallelogram

5 0

3 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago

Help me i have no time left pleaseeee

velikii [3]

Answer:

The answer is b:153

Step-by-step explanation:

Supplementary angle are angles whose angles add up to 180 degrees.

6 0

3 years ago

PLEASE HELP IMMEDIATELY

grandymaker [24]

Answer:

a) C(d) = 37.95 + 0.62d

b) C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Step-by-step explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

$C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7$

Thus, we could drive 8181 miles

3 0

3 years ago