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NNADVOKAT [17]
3 years ago
10

HEEEELP!!!!!!: An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 120 mm. The icicle drips at

a rate of 75mm^3 per minute. How long will it take the icicle to completely melt? USE 3.14!
A. 5.1 MIN
B. 7.5 MIN
C. 15.1 MIN
D. 33.9 MIN
Mathematics
2 answers:
Annette [7]3 years ago
5 0

Answer:

d:33.9

Step-by-step explanation:

OleMash [197]3 years ago
4 0

Find the volume of the icicle using the formula V = PI x r^2 x h/3

Volume = 3.14 x 4.5^2 x 120/3

Volume = 3.14 x 20.25 x 40

Volume = 2543.4 cubic mm.

Now divide the total volume by the drip rate:

2543.4 / 75 = 33.9 minutes.

The answer is D.

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How do you do this with decimals
ICE Princess25 [194]
Answer: x=102


Steps:

This is an isosceles triangle which mean 2 angles and 2 sides are congruent. In this case, the 3.3 sides corresponds to the 39 degree angle. This means that the other angle next to x angle is also 39 degrees.

39+39= 78

All the angles in the triangle needs to equal 180.

So subtract 78 from 180 to find the degree of x angle.

180-78= 102
3 0
2 years ago
HELP ME PLS WALLAHI HELP PLS
bija089 [108]

Answer:

first one answer is 0 second one answer is 2

4 0
2 years ago
Y = 3x + 15<br> 3x + 3y = 9
Zina [86]

Answer:

\Large\boxed{x=-3}\Large\boxed{y=6}

Step-by-step explanation:

<u>Given the system of equations</u>

1)~y=3x+15

2)~3x+3y=9

<u>Divide 3 on both sides of the 2) equation</u>

3x+3y=9

3x\div3+3y\div3=9\div3

x+y=3

<u>Current system</u>

1)~y=3x+15

2)~x+y=3

<u>Substitute 1) equation into the 2) equation</u>

x+(3x+15)=3

<u>Combine like terms</u>

x+3x+15=3

4x+15=3

<u>Subtract 15 on both sides</u>

4x+15-15=3-15

4x=-12

<u>Divide 4 on both sides</u>

4x\div4=-12\div4

\Large\boxed{x=-3}

<u>Substitute the x value into one of the equations to find the y value</u>

y=3x+15

y=3(-3)+15

y=-9+15

\Large\boxed{y=6}

Hope this helps!! :)

Please let me know if you have any questions

4 0
1 year ago
Suppose that Kevin can choose to get home from work by car or bus. When he chooses to get home by car, he arrives home after 7 p
astraxan [27]

Answer:

The approximate probability that Kevin chose to get home from work by bus, given that he arrived home after 7 pm = 0.838

Step-by-step explanation:

Let the probability that Kevin arrives home after 7 pm be P(L)

Probability that Kevin uses the bus = P(B)

Probability that Kevin uses the car = P(C)

Probability of arriving home after 7 pm if the car was taken = P(L|C) = 4% = 0.04

Probability of arriving home after 7 pm if the bus was taken = P(L|B) = 15% = 0.15

The bus is cheaper, So, he uses the bus 58% of the time.

P(B) = 58% = 0.58

P(C) = P(B') = 1 - P(B) = 1 - 0.58 = 0.42

The approximate probability that Kevin chose to get home from work by bus, given that he arrived home after 7 pm = P(B|L)

The conditional probability P(A|B) is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

Hence, the required probability, P(B|L) is given as

P(B|L) = P(B n L) ÷ P(L)

But we do not have any of P(B n L) and P(L)

Although, we can obtain these probabilities from the already given probabilities

P(L|C) = 0.04

P(L|B) = 0.15

P(B) = 0.58

P(C) = 0.42

P(L|C) = P(L n C) ÷ P(C)

P(L n C) = P(L|C) × P(C) = 0.04 × 0.42 = 0.0168

P(L|B) = P(L n B) ÷ P(B)

P(L n B) = P(L|B) × P(B) = 0.15 × 0.58 = 0.087

P(L) = P(L n C) + P(L n B) = 0.0168 + 0.087 = 0.1038 (Since the bus and the car are the two only options)

The approximate probability that Kevin chose to get home from work by bus, given that he arrived home after 7 pm

= P(B|L) = P(B n L) ÷ P(L)

P(B n L) = P(L n B) = 0.087

P(L) = 0.1038

P(B|L) = (0.087/0.1038) = 0.838150289 = 0.838

Hope this Helps!!!

8 0
3 years ago
Solve the equation for x. <br> x2 = 676
Oliga [24]

Answer:

x=26

Step-by-step explanation:

8 0
3 years ago
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