Answer:
A total of 387 centimeters of ribbon are used.
Step-by-step explanation:
We already know that two out of three pieces of ribbon are 1.25 meters.
The third piece of ribbon is 120 millimeters (mm) longer.
1 millimeters = 0.001 meters
120 x 0.001 = 0.12
That means that the third piece of ribbon is 0.12 meters longer than the first two. The length of the third ribbon is 1.25 m + 0.12 m = 1.37 m
In order to find the total number of meters of ribbon used, we need to do addition.
1.25 m + 1.25 m + 1.37 m = 3.87 m
But, the question is asking us the number of centimeters of ribbon that are used.
1 m = 100 cm
3.87 x 100 = 387 cm
Therefore, a total of 387 centimeters of ribbon are used.
Hope this helps! Have a blessed day! :)
Answer:
f(x) = (x + 4)² - 3
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 8x + 13
To obtain f(x) in vertex form use the method of completing the square
add/ subtract (half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 13
f(x) = (x + 4)² - 3 ← in vertex form
I’ve attached my work below for #4
5) 8% is equivalent to 8 cents so each item was $1.08
Than you know he spent 16.20 so you divided
1.08/16.20 which equals 15
So he got 15 items
6) the moon is 250,000 miles away which is about driving around earth 10 times which would take 6 months (not sure about this one)
Hope this helps!
Have a nice day :)
I have included a picture. In the picture you will find the work and final answer.
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9
Area of circle = πr² = π(9)² = 286 units²
Answer: 9 units²