Answer:
The height of tree is approximately 121.5 feet.
Step-by-step explanation:
We are given following in question:
Length of shadow = 150 feet
Angle of elevation of the sun =
The tree and the shadow forms a right angled triangle.
Thus, with the help of trigonometric relation, we can write:
Let x feet be the height of tree.
Putting all the values, we get,
Thus, the height of tree is approximately 121.5 feet.
<h3>
Answer:</h3>
5
<h3>
Step-by-step explanation:</h3>
Let n represent the numerator of the original fraction, which is n/(n+4). After adding 1/2, the value is (2(n+4)+1)/(2(n+4)), so we have ...
n/(n+4) + 1/2 = (2(n+4)+1)/(2(n+4))
Simplifying gives ...
... (2n +(n+4))/(2(n+4)) = (2n +9)/(2(n+4))
Since the denominators are the same, we can work only with the numerators.
3n +4 = 2n +9
n = 5 . . . . . . . . . . . subtract 2n+4
_____
<em>Check</em>
The original fraction is 5/(5+4) = 5/9. Adding 1/2 gives ...
5/9 + 1/2 = 10/18 + 9/18 = 19/18
Note the numerator of this last fraction is 1 more than the denominator, which is twice the original denominator.
The sample space of the problem includes all the roses and hibiscus in a
variety of colors. The sample space is equal to 315 flowers. There are
20 pink roses in the table so the probability of taking a pink rose out
of the set is 20/315 or equal to 0.063
We have to find the equation for three times a number is three more than twice the number.
Let the number is x.
Three times a number = 3x
Three more than twice the number. = 3+2x
These two equations should be equal.
Hence, we have
Therefore, the equation 3x = 3 + 2x can be used to find the unknown x.
A is the correct option.
You need to find the GCF of both numbers. Both of these numbers have a GCF of 1 so the answer is already in simplest form. Unless you want it in a decimal which in that case you just divide. 5.34
