So this can be solve by establish two equation:
let x be age of montell
y be tha age of her mom
for the first equation (<span>Montell is 30 years)</span>:
x = y - 30
second equation ( in 5 years )
x + 5 = ( y + 5 ) ( 1/3)
solving the equation simultaneously
x = 10 years old
y = 40 years old
The area of the largest triangle would be 6 inches².
How did I get this? I'll explain first:
We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:
The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.
Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.
I've added an image to explain.
The formula to find the area of a triangle is half of the base × height.
A of Δ = half of 3 × 4A = 1.5 × 4 = 6 inches²!
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Answer:
Therefore, option C is correct.
Step-by-step explanation:
We have been given the equation:
We will take LCM 4 on right hand side of the above equation:
Now, we will multiply the 4 in denominator on right hand side to the y in left hand side pof the equation we get:
After rearranging the terms we get:
Therefore, option C is correct.
Answer:
9/11 I think!
Step-by-step explanation:
54/66= 9/11