The perimeter of the triangle = 60 cm
Solution:
The given triangle is a right triangle.
Base of the triangle = 15 cm
Hypotenuse = 25 cm
Let the unknown side of the triangle be x.
Using Pythagoras theorem,
<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>
Subtract 225 from both sides,
Taking square root on both sides, we get
x = 20
The unknown side of the triangle is 20 cm.
The perimeter of the triangle = Sum of the sides of the triangle
= 15 cm + 25 cm + 20 cm
= 60 cm
The perimeter of the triangle = 60 cm
<h2>Answer : 144 cents</h2>
Step by step explanation
<u>Given: cost of 21 inches of wire costs 63 cents</u>
<u>Cost of 1 inch wire = 63/21 = 3 cents</u>
<u>Cost of 48 inches of wire = 48×3 = 144 cents</u>
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If the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.
Given that the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now.
We are required to find the present age of the father and daughter.
Suppose the present age of the father is x.
Suppose the present age of his daughter is y.
We are given product of present ages be 430.
xy=430----------1
y=430/x
According to question,
x-3=4y
Put the value of y=430/x.
x-3=4*430/x
-3x=1720
x=(3±)/2*1
x=3±)/2
x=(3±83)/2
x=(3+83)/2
(Ignoring the negative value because the age cannot be negative as it is coming before the greater number)
x=43
y=430/x
y=430/43
y=10
Hence if the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.
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If you would like to factor completely 3 * x^2 - x - 4, you can do this using the following steps:
<span>3 * x^2 - x - 4 = (3 * x - 4) * (x + 1) = (3x - 4) * (x + 1)
</span>
The correct result would be (3x - 4) * (x + 1<span>).</span>
Rate<span> is a factor of some function. It can be thought of as a gradient: a blend from one value to another. The rate in this case can be calculated by dividing the fraction of he written by the time it takes.
Rate = 1/3 / 1/2 = 2/3 page per hour
Hope this answers the question. Have a nice day.</span>