Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)
m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
If there are 24 hours a day, he hangs out 8 hours a day since 24-8-8=16
All activities are eqyal to 8/24, which simplifies to 1/3.
1/3 as a percent is 33.33...%
He should include 33.33..% three times in his circle graph.
Answer:
78.5%
Step-by-step explanation:
The area of the square is equal to diameter squared
i.e 4 in × 4 in = 16 square inches
The area of the circle is π × r²
i.e π × 2² = 12.56637061
The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100
i.e 
× 100 = 78.53981631%
And is equal to 78.5% (rounded up to the nearest tenth of a percent)
Here are all the correct answers in the order they are asked.
1. Sphere - all the points from the center create a rounded space
2. Triangular pyramid - A triangular base and three triangular lateral faces
3. Cube all six faces are squares
4. Triangular prism - two triangular bases and four rectangular lateral faces
5. Cylinder two circular bases and a rounded lateral face
6. Rectangular pyramid -rectangular base and four triangular lateral faces
7. Cone- One circular base 1 rounded space that comes to a point.
8. Rectangular prism - 6 rectangular faces
