The area of the flag that Joe created is 216 cm²
Step-by-step explanation:
Joe created triangular shaped flag for his history project
- The height of the flag was 16 cm
- The base of the flag was 27 cm
∵ The flag is shaped a triangle
∵ Area of a triangle = 
× base × height
∵ The base of the flag = 27 cm
∵ The height of the flag = 16 cm
- Substitute these values in the rule of the area above
∴ The area of the flag = × 27 × 16
∴ The area of the flag = 216 cm²
The area of the flag that Joe created is 216 cm²
Learn more:
You can learn more about area of a triangle in brainly.com/question/10677255
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Answer:
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
Step-by-step explanation:
When you graph this equation, you should see the zeros it passes and touches.
Answer: 24
Hope this helps! Could I please have a brainliest? <3
These are so great! They are a perfect combination of Physics and pre-calculus! Your max height of that projectile is going to occur at the max value of the parabola, or at its vertex. So we need to find the vertex. The coordinates of the vertex will give us the x value, which is the time in seconds it takes to reach y which is the max height. Do this by completing the square. Begin by setting the equation equal to 0 and then moving the 80 over to the other side. Then factor out the -16. This is all that:
. Take half the linear term which is 4 and square it and add it in to both sides. Half of 4 is 2, 2 squared is 4, so add 4 into the set of parenthesis and to the -80.
. The -64 on the right comes from the fact that when you added 4 into the parenthesis, you had the -16 out in front which is a multiplier. -16 * 4 - -64. So what you really added in was -64. Now the perfect square binomial we created in that process was
. When we move the 144 back over by addition we find that the vertex of the polynomial is (2, 144). And that tells us that it takes 2 seconds for the projectile to reach its max height of 144 feet. To find the time interval in which the object's height decreases occurs from its max height of 144 to where the graph of the parabola goes through the x-axis to the right of the max. To find where the graph goes through the x-axis, or the zeroes of the graph, you factor the polynomial. When you do that using the quadratic formula you get that x = -1 and 5. So at its max height it is at 2 seconds, and by 5 seconds it hits the ground. So the time interval of its height decreasing is from 2 seconds to 5 seconds, or a total of 3 seconds. I think you need the 2 and 5, from the wording of your problem.
Answer:
777,223 meters squared
Step-by-step explanation:
To find the amount of carpeting, we must find the area of the floor of Tom's bedroom.
To find area, we multiply the length and width of the rectangle.
999 x 777 = 776,223
Remember, when we find the area, we must give the answer in square units.
Our final answer is 777,223 meters squared
