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Iteru [2.4K]
3 years ago
7

the side of a triangle are in the extended ratio of 3:2:4 if the length of the shortest side is 6cm what is the length of the lo

ngest side?
Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.

2 is to 6 cm as 4 is to x

2/6 = 4/x

2x = 4 * 6

2x = 24

x = 12

Answer: The longest side measures 12 cm.
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A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3
fredd [130]

The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

<h3>How to model a mathematical function?</h3>

The mathematical functions is used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple mathematical function-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.

After approximately 2.3 seconds, the ball lands on the ground.

The ball’s motion can be modeled using the function

f(x) = -10x^2 +20x+ 8

Here, x represents the time in seconds.

As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,

f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m

Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

Learn more about the modeling the mathematical function here;

brainly.com/question/25896797

3 0
2 years ago
Two-fifths of the square of a number j
fredd [130]

Answer:

\frac{2}{5}j^{2}

Step-by-step explanation:

Let

j ------> the number

we know that

The square of a number is equal to multiply the number by itself

so

The square of j is

j*j=j^{2}

so

Two-fifths of the square of a number j is the same that multiply the fraction 2/5 by the square of j

\frac{2}{5}j^{2}

7 0
3 years ago
Is there a strategy to approaching a problem like this?
zysi [14]
It is a geometric mean sequence.
the 2nd term is 20, the 5th term is 0.16
so the next 3 terms are found by multiplying successive terms by the constant x.  20x^3 = 0.16 which is derived by multiplying 20 by x, three times to get 0.16
So x^3 =.008
x=0.2
The first term is found by saying a1^.2 = 20, so a1 = 100
When n =  1     2   3   4    5
     t(n) = 100 , 20, 4, .8, .16



8 0
3 years ago
Which is greater than 5/6
Vlad1618 [11]
6/6 is greater than 5/6

3 0
3 years ago
A line passes through the points (9, 30) and (18, 30). Which statement is true about the line?
Arisa [49]
(9,30)(18,30)....when u have 2 sets of points and there y value is the same, then u have a horizontal line with a slope of 0

answer : A...it has a slope of 0 because the change in the y values
7 0
3 years ago
Read 2 more answers
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