Answer:
Exact area: 39.2π cm²
Approximate area: 123.2 cm²
Step-by-step explanation:
The area of a circle is πr².
A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.
The formula for the area of a sector of circle with central angle n° and radius r is
A = (n°)/(360°) × πr²
Here we have n = 72; r = 14 cm
A = (n°)/(360°) × πr²
A = (72°)/(360°) × π × (14 cm)²
A = 39.2π cm² = 123.2 cm²
Because the 2 triangles are similar, find the ratio of 2 known sides.
Side XY = 10
Side AB = 25
25 / 10 = 2.5
This means the larger triangle is 2.5 times larger than the smaller one.
Now find the side of the smaller triangle, that would be the same side as X on the larger triangle and multiply that by 2.5.
XZ is the same side as AC
So X = 6 x 2.5
X = 15
Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.
- 1.74/0.25 = 6.96
- The most quarters that can fit into $1.74 is 6.
---Multiply $0.25 by 6 = $1.50
---Subtract $1.50 from $1.74 = $0.24
---We need to use the rest of the coins to fill up $0.24.
Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.
- 0.24/0.10 = 2.4
- The most dimes that can fit into $0.24 is 2.
---Multiply $0.10 by 2 = $0.20
---Subtract $0.20 from $0.24 = $0.04
No nickels can fit into $0.04, because they are worth $0.05.
We can use our least amount (pennies) to fill in the $0.04 remaining.
Your answer is 6 quarters, 2 dimes, and 4 pennies.
Answer:
The answer to your question is the first graph.
Step-by-step explanation:
It seems that the first graph is correct because the height of the bars is equal to the grade get by the students.
The second graph is incorrect because the height of the bars is different from the grade the students got. Only the bar of Levi is correct.
The third graph is incorrect, just observe the height of John's bar to determine that the graph is wrong.
Also, the last graph is incorrect, in this graph, all the bars are different from the grade the students got.
Parenthesis
Exponents
Multiplication
Division
Adding
Subtracting
