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Naya [18.7K]
3 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]3 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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A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
7 0
3 years ago
Which expression is equivalent to 2(3 - x) - 12 + 4x<br><br> 3x - 6<br> 3x - 7<br> 2x - 7<br> 2x - 6
Nadya [2.5K]
The answer is b. 3x-6
5 0
3 years ago
Becky spent 3/4 of an hour practicing the piano.She spent 1/2 of that time practicing her recital piece. What fractional part of
Ber [7]

Answer:

3/8

Step-by-step explanation:

First,

convert  3/4 of an hour to minutes;

If 1 hr = 60 mins

then 3/4 of 1hr = \frac{3}{4} *60\\ \\ =45 mins.Next, If 1/2 of 3/4 was spent practicing recital piece, it means that it is half of 45 mins;1/2 *45 = 22.5 minsLastly, convert the 22.5 mins into a fraction of an hour;22.5/60 = [tex]\frac{3}{8}

3 0
3 years ago
mrs. marks have 2/3 pound of cheese. she has 1/15 pound on each sandwich. how many sandwiches can she make with the cheese she h
Tema [17]

Answer:

10

Step-by-step explanation:

2/3 can be multiplied by 5 to equal 15ths since we can know 15 (seconds number fraction) is 5 times the originals (first numbers fractions)

This equals to 10/15 and means that with 1/15th on each 10 sandwiches can be made.

The answer gives it straight forward but explanation gets in depth

Edit: I saw your answer and yes it equals 10 but you multiply what it is a fraction of too.

2/3

x5

10/15

Hope that helps some more

3 0
2 years ago
Which function, g or h, is the inverse of function f, and why?
Step2247 [10]

I believe the answer would be h. For every value (x,y) of the function f, h has the inverse (y,x).

4 0
3 years ago
Read 2 more answers
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