<u>We are given the equation:</u>
(a + b)! = a! + b!
<u>Testing the given equation</u>
In order to test it, we will let: a = 2 and b = 3
So, we can rewrite the equation as:
(2+3)! = 2! + 3!
5! = 2! + 3!
<em>We know that (5! = 120) , (2! = 2) and (3! = 6):</em>
120 = 2 + 6
We can see that LHS ≠ RHS,
So, we can say that the given equation is incorrect
Answer:
a^2 + b^2 = c^2
a^2 + 32^2 = 58^2
a^2 + 1024 = 3364
a^2 = 2340
a = 48.37
Step-by-step explanation:
Part A:
Given the ratio 1 : 2, we can describe this ratio with the following situation.
The number of green balls to orange balls in the bag is in the ratio of 1 : 2. For every green ball in the bag, there are 2 corresponding orange ball.
Part B:
Given the ratio 29 : 30, we can describe this ratio with the following situation.
The ratio of the amount of sugar used to the amount of salt used to prepare the sugar-salt solution is 29 : 30. For every teaspoons of sugar used in the solution, 30 teaspoons of salt needs to be used.
Part C:
Given the ratio 52 : 12, we can describe this ratio with the following situation.
The
number of kilometers travelled by the car and the bicycle is in the ratio of 52 :
12. For every 52 kilometers travelled by the car, the bicycle travelled 12 kilometers.
Answer:
7/4a + 1/3
1 3/4a + 1/3
Step-by-step explanation:
Answer:
71.32 feet
Step-by-step explanation:
We set up a trigonometric function to get height of tree
Distance ,x = 35 feet away from tree base
Angle = 62⁰ at eye level
Y = tan(angle) * x
= Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
