Make the percent into a decimal.
Answer:
300ml
Step-by-step explanation:
Large Bottle = 500ml
Medium Bottle = 60/100 × 500ml
<u>60</u> × 500← <em>cancel the two zeroes.</em>
100←
60 × 5
= 300ml
Answer:
see explanation
Step-by-step explanation:
A column vector has the form ![\left[\begin{array}{ccc}x\\y\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Following the direction of the arrow , the x- displacement = - 3 and y- displacement = 2 , then column vector is
![\left[\begin{array}{ccc}-3\\2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
h + k
= ![\left[\begin{array}{ccc}4\\-3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C-3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}-2\\-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
← add corresponding elements from each vector
= ![\left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-2%5C%5C-3-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}2\\-4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C-4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
r = 22.9 in.
Step-by-step explanation:
Central angle in radians, ∅ = π/4
Length of arc, S = 18 in.
radius (r) = ?
Length of arc, C = r∅
Plug in the values and find r
18 = r*π/4
18 = (πr)/4
Multiply both sides by 4
4*18 = πr
72 = πr
Divide both sides by π
72/π = r
r = 22.9183118
r = 22.9 in. (Nearest tenth)
<h3>
Answer: Choice A. 8pi feet</h3>
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
