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seropon [69]
3 years ago
15

A triangle has a base that is increasing at a rate of 18 mm per minute with the height being held constant. What is the rate of

change of the area of the triangle if the height is 7 mm
Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

<h2> 63mm/min</h2>

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

A = 1/2bh

Rate of change of area is expresssed as dA/dt = dA/db * db/bt

db/dt is the rate at which the base is increasing.

Given db/dt = 18mm/min

A = 1/2*7b

A = 7b/2

dA/db = 7/2

The rate at which the area is changing dA/dt = dA/db * db/bt

dA/dt = 7/2 * 18

dA/dt = 7*9

dA/dt = 63mm/min

<em>Hence the rate at which the area of the triangle is changing is  63mm/min </em>

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Finger [1]
The missing number is 4
8 0
3 years ago
Shawna found coins worth $4.32. One- fourth of the found coins are pennies and one- sixth are quarters. The number of nickels fo
eduard

Answer:

8 quarters

12 nickels

12 pennies

16 dimes

Step-by-step explanation:

The trick is to ASSUME the dimes.

Start by thinking about the three explicit premises and the one implicit premise.

1) Quarters = 1/6 of total coins

2) Nickels = 1.5 the number of quarters

3) Pennies = 1/4 of total coins

Also, ASSUME an unknown number of dimes to fill in the gap.

48 Total Coins = $4.32

⅙ of 48 = 8 8 quarters = $2.00

1.5 x 8 = 12 12 nickels = $0.60

¼ of 48 = 12 12 pennies = $0.12

Add those coins = $2.72

Take the known total and minus this sum.

$4.32 - $2.72 = $1.60

16 dimes = $1.60

Thus, you have the following:

8 quarters (⅙ of total coins)   $2.00

12 nickels (1.5 the number of quarters) $0.60

12 pennies (¼ the number of total coins) $0.12    

+ 16 dimes     $1.60

Total Coins 48      $4.32

8 0
3 years ago
Probability help!
bagirrra123 [75]

Answer:

90%

Step-by-step explanation:

Since Brandon has a 25% chance of hitting a target, and there is 8 targets, you can take 25% of 8. This will get you an answer of 2. So, in this way Brandon has a 90% chance of hitting at least one target.

7 0
2 years ago
Please help!!! I’ll mark you as brainliest!!!!!
kherson [118]
<h2>Answer:</h2><h2>80%.</h2>

Step-by-step explanation:

8 0
3 years ago
What is 3 more than x
lesantik [10]
3 more than x
this means that whatever x is, 3 more than that
3 more means 3+ so
3+x is the answer
4 0
3 years ago
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