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WINSTONCH [101]
3 years ago
8

A triangle with area 40 square inches has a height that is four less than six times the base. Find the base and height of the tr

iangle
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

A = 1/2bh

Step-by-step explanation:

40 = (.5)(6x - 4)(x)

40 = (3x-2)(x)

40= 3x^2 - 2x

3x^2 -2x - 40 =0

3x^2 - 12x + 10x - 40 = 0

3x(x - 4) + 10(x -4) = 0

(3x + 10)(x - 4) = 0

x = {4 , - 10/3}

x = 4 , b = 20. h = 4

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You invested your allowance of $500 which gets 15% compounded annually for 5 years.
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Step-by-step explanation:

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5 0
3 years ago
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc
sveta [45]

Answer:

\frac{4}{9}

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is \frac{1}{2}×\frac{1}{2} = \frac{1}{4} = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is \frac{2}{3} and her husband has not picked correct brand is also \frac{2}{3}, since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = \frac{2}{3}×\frac{2}{3} = \frac{4}{9}.

4 0
3 years ago
A student walks a distance of 3km in 20minutes. calculate his average speed​
NNADVOKAT [17]

Answer:

9 Km/h

Step-by-step explanation:

Walking 3 Km for 20 minutes from the definition of speed, it's distance covered per unit time. Here, the distance covered is expressed per unit hour.

Speed=\frac {distance}{time}

Substituting 3.5 Km for distance and time for 20 minutes

To convert time into hours, we divide the minutes by 60 hence time=20/60=1/3 hours

Speed=\frac {3 Km}{1/3 hours}=9 Km/h

Therefore, the speed is 9 Km/h

4 0
3 years ago
If f(x) = |-3x - 61 - 10, find f(5)
german

Answer:

f(5)= -85

Step-by-step explanation:

f(x)= 1-3x-61-10

now,

f(5)= 1-3×5-61-10

=1-15-71

=--85

hope u want this..

3 0
3 years ago
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