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Naya [18.7K]
2 years ago
6

A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o

f the​ triangle?
The base is....and the height is......
Mathematics
1 answer:
Sliva [168]2 years ago
7 0
Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

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IrinaK [193]

Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

8 0
3 years ago
What is 3/4 ÷ 1/6? Please help !......
Reika [66]

Answer:

4 1/2

Step-by-step explanation:

Apply the fractions formula for division, to

3/4÷1/6

and solve

3/6x4/1

=18/4

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(18,4) = 2

18/24÷2/2=9/2

Convert to a mixed number using

long division for 9 ÷ 2 = 4R1, so

9/2=4 1/2

Therefore:

3/4÷1/6=4 1/2

4 0
2 years ago
here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.b)work out the mean of the
ratelena [41]

Answer: Mean: 17.14                                                                                           Range: 20.

Step-by-step explanation: 12+13+13+15+16+19+32                             25+13+15+16+19+32                                                                                             38+15+16+19+32                                                                                               53+16+19+32                                                                                                         69+19+32                                                                                                               88+32                                                                                                                     120/7                                                                                                                     17.14                                                                                                                                                    

32-12                                                                                                                       20

6 0
2 years ago
What is the GCF of 100 and 20
alexdok [17]

Answer:

20

Step-by-step explanation:

20 is the GCF or greatest common factor of 20 and 100.

4 0
2 years ago
A survey is made to determine the number of households having electric appliances in a certain city. It is found that 75% have r
Mashcka [7]

Answer:

The probability that a household has at least one of these appliances is 0.95

Step-by-step explanation:

Percentage of households having radios P(R) = 75% = 0.75

Percentage of households having electric irons P(I) = 65% = 0.65

Percentage of households having electric toasters P(T) = 55% = 0.55

Percentage of household having iron and radio P(I∩R) = 50% = 0.5

Percentage of household having radios and toasters P(R∩T) = 40% = 0.40

Percentage of household having iron and toasters P(I∩T) = 30% = 0.30

Percentage of household having all three P(I∩R∩T) = 20% = 0.20

Probability of households having at least one of the appliance can be calculated using the rule:

P(at least one of the three) = P(R) +P(I) + P(T) - P(I∩R) - P(R∩T) - P(I∩T) + P(I∩R∩T)

P(at least one of the three)=0.75 + 0.65 + 0.55 - 0.50 - 0.40 - 0.30 + 0.20  P(at least one of the three) = 0.95

The probability that a household has at least one of these appliances is 0.95

3 0
2 years ago
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