Answer: what am i looking at?
Step-by-step explanation:
Answer:
The total length of string needed for 17 identical decorative bottles is 35.70 meters
Step-by-step explanation:
Let us solve the question
∵ String A is 35 centimeters long
∵ String B is 5 times as long as String A
→ Multiply the length of A by 5 to get the length of B
∴ The length of string B = 35 × 5 = 175 cm
∵ Both are necessary to create a decorative bottle
∴ The length needed for 1 bottle = 35 + 175 = 210 cm
∴ Each bottle needs 210 cm to be decorated
∵ There are 17 identical bottles
→ Multiply the length needed for 1 bottle by 17
∴ The total length needed = 17 × 210 = 3570 cm
∴ The total length needed to decorate 17 bottles is 3570 cm
∵ 1 meter = 100 centimeter
→ Divide the total length by 100 to express it in meters
∴ 3570 cm ÷ 100 = 35.70 m
The total length of string needed for 17 identical decorative bottles is 35.70 meters
The diagonal of a rectangle is:
d ^ 2 = w ^ 2 + l ^ 2
Where,
w: width
l: long
Substituting values we have:
(l + 2) ^ 2 = (l-7) ^ 2 + l ^ 2
Rewriting we have:
l ^ 2 + 4l + 4 = l ^ 2 -14l + 49 + l ^ 2
l ^ 2 -14l + 49 - 4l - 4 = 0
l ^ 2 -18l + 45 = 0
(l-15) (l-3) = 0
The solutions are:
l = 15
l = 3
The viable solution is:
l = 15
Thus, the width is:
w = l-7
w = 15-7
w = 8
Answer:
the dimensions of the rectangle are:
l = 15
w = 8
There can be an infinite amount of these
g(x) = 2/x ^ 2
f(x) = x + 9
but you can recheck this by substituting the g(x) back into the f(x)
