Answer:
c. 112 ft
Step-by-step explanation:
the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).
and this means we can use Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle).
diagonal² = 100² + 50² = 10000 + 2500 = 12500
diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft
Answer:
The number of wreaths Alaina sells is 9 .
Step-by-step explanation:
As given
Alaina is selling wreaths and poinsettias for her chorus fundraiser.
Wreaths cost $27 each poinsettia cost $20 each.
If she sold 15 poinsettias and made $543.
Let us assume that the number of wreaths Alaina sells = x
As the number of poinsettias Alaina sells = 15
Than the equation becomes
27x + 15 × 20 = 543
27x + 300 = 543
27x = 543 - 300
27x = 243

x = 9
Therefore the number of wreaths Alaina sells is 9 .
Answer: 20x-6 = 34
Step-by-step explanation:
Given: The length of rectangle is represented by 8x - 3.
The width of the rectangle is represented by 2x.
The perimeter is 34 inches.
Perimeter of rectangle = 2 (length + width)
Perimeter of rectangle = 2 (8x-3+2x)
Perimeter of rectangle = 2 (10x-3)
Perimeter of rectangle = 20x-6
Thus , the required equation that represent the perimeter: 20x-6 = 34
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
when
is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:

Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.

inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
Answer:
1. Even - B
2. Even - B
3. Odd - A
Step-by-step explanation:
Example 1: 7+7 = 14
7 is odd, 14 is even.
Example 2: 4 + 4 = 8
4 is even, and 8 is even.
Example 3: 4 + 5 = 9
4 is even, 5 is odd, 9 is odd.