Answer:
The radius of the circle is 36
x = 36
Step-by-step explanation:
Area of sector formula is:

Given
, and area (A) is
, we substitute and solve for r:

Thus,
The radius of the circle is 36
x = 36
Answer:
Volume = 175 cm³
Step-by-step explanation:
We can picture this image as a whole rectangular prism, with a part that has been cut out of it.
Step 1: Volume of original prism
We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5
Step 2: Volume of part cut out
We are solving the volume of that part that has been cut out ( missing space)
- V = 5 * (9-2) * (7-3)
- V = 5 * 7 * 4
- V = 140
Step 3: Total Volume
Now we just subtract the cutout part from the original volume
Volume = 175 cm³
Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:
- V = (9 * 3 * 5) + (4 * 5 * 2)
- V = 135 + 40
- V = 175
-Chetan K
<u><em>Answer:</em></u>
37/96
<u><em>Explanation</em></u>:
Hazel uses 1yd for 60 charms, so for 5/8yd she would use 5/8×60=37.5.
Because she can’t use a fraction of a charm, she would use 37 charms which is 37/96 of the charms she has.
Step-by-step explanation:
the slope = (0+15)/(-1-4)=15/(-5)= -3
the Equation :
y+15= -3(x-4)
or
y+15 = -3x+12
y +3x=12-15
3x + y = -3
so, the correct answer is II only
Answer:
y = 2x - 3
Step-by-step explanation:
We are given the slope, m = 2
Our standard formula of a line is y = mx + b, so we can substitute for the x and y values of the point (3, 3). If you did not know, the x-value and the y-value are both 3 because the point (3, 3) = (x, y).
So, our equation looks like this:
3 = (2)(3) + b
We can solve for b:
3 = 6 + b
b = -3
And now we have our equation of a line:
y = 2x - 3