Answer:
10.2 feet.
Step-by-step explanation:
We have been given that Derek places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches. We are asked t find the height of the backboard, if the backboard has a shadow of 8.5 feet.
We will use proportions to solve our given problem as ratio between sides ruler will be equal to ratio of sides of background.
Therefore, the actual height of the back-board is 10.2 feet.
Answer:
7xy + 6y + 6xy is a polynomial who’s like terms are 7xy and 6xy. Therefore, this polynomial can be simplified by combining like terms as 7xy +6xy +6y = 13xy + y. When combining like terms, we only add or subtract the coefficients of the identical variables.
On the other hand, unlike terms are terms which are not identical in terms of either variables or exponents.
For example, an expression 4x + 9y2, contain unlike terms because variable x and y are different and are not raised to the same power.
Answer:
Eli's age = 42 years
Step-by-step explanation:
Let x be Eli's age and y be Cecil's age
So,
According to the statement given
x+y=60 eqn 1
Eli's age 6 years ago = x-6
Cecil's age 6 years ago = y-6
So according to the given statement
x-6 = 3(y-6)
x-6 = 3y - 18
x-3y = -18+6
x-3y= -12 eqn 2
Subtracting eqn 2 from eqn 1
x+y - (x-3y) = 60 - (-12)
x+y-x+3y = 60+12
4y = 72
y = 18
Cecil's age = 18 years
Putting y = 18 in eqn 1
x+18=60
x = 60-18
x = 42
Eli's age = 42 years ..
Answer:
Step-by-step explanation:
To solve this you need the Law of sines
- sin A / a = sin B / b = sin C / c
a, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
- sin 28 / x = sin (180 - 28 - 126) / 8.2
- sin 28 / x = sin 26 / 8.2
- x = 8.2 sin 28 / sin 26
- x = 8.8 (rounded)
