60 hope this helps!!!!!!!!!!!!!!!
Answer:
x=15/8
Step-by-step explanation:
Inverse variation is given by
xy = k
Substituting x=5 and y=12
5*12 = k
60 =k
Our original equation is xy = 60
Now let y=32
x*32 = 60
Divide each side by 32
32x/32 = 60/32
Divide top and bottom by 4
x = 15/8
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer:
28
Step-by-step explanation:
The number is proportional the central angle in the chart. 360° represents all 72 of the people, so 140° (the size of the Oblivion sector) will represent ...
(140°/360°)×(72 people) = 28 people
The answer to this problem is C.
Here's why:
The area of a triangle = 1/2 * (base) * (height) (Note: a triangle is half of a rectangle, and rectangles have Area = (base) * (height))
<span>Because the base of ΔAED is half of ΔACB (2 = (1/2) * 4), and height of ΔAED is half of ΔACB (3 = (1/2) * 6), we know that the area of ΔAED will be half of ΔAED.
</span>
So, it's C. I am sure =)
If it helped you, please mark me brainliest! =D
Have a nice day!
