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Keith_Richards [23]
4 years ago
11

a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle​

Mathematics
1 answer:
Solnce55 [7]4 years ago
4 0

Answer: 6  cm

Step-by-step explanation:

Use equation for area of triangle

A=a*h/2

a*h=2A

a=2A/h

where a  represents base of triangle

h represents height of triangle.

h=12.8 cm

A=38.4 cm²

a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm

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Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
3 years ago
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Answer:

The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same

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Step-by-step explanation:

The given linear equations are;

3·x - 6·y = 9...(1)

x - 2·y = 3...(2)

The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs

Making 'y' the subject of both equations gives;

For equation (1);

3·x - 6·y = 9

3·x - 9 = 6·y

y = x/2 - 3/2

For equation (2);

x - 2·y = 3

x - 3 = 2·y

y = x/2 - 3/2

We observe that the two equations are the same and will have an infinite number of solutions

5 0
3 years ago
How many solutions exist for the given equation?
Archy [21]

Answer:

Infinitely many

Step-by-step explanation:

12x+1=3(4x+1)-2

Expand 3(4x+1)-2

12x+3-2

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7 0
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Diana invests $25,000 in a bank at the beginning of the year. She will receive 7% interest at the end of the year, but she will
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Answer:

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Step-by-step explanation:

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A) Diana's investment earns ...

... 0.0588 × $25000 = $1470

8 0
3 years ago
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