Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
Answer:
Step-by-step explanation:
If you are trying to find the volume, you would use the formula:
You would plug in the radius (r), which is 58, and then plug in the height, which is 73.
Make sure you remember to use 3.14 and not the pi key if you are using a calculator.
The final answer is 771,096.8 yd^3
Answer:
23/12 or 1 and 11/12
Step-by-step explanation:
Your first step is that you need to gain a common denomitor. In this scenario, this is 12. To get this, you can either go through the given factors such as 3 having the factors of 6, 9, and 12 and 4 having the factors of 8, and 12.
Another method is the multiply the two given denominators together, but there are certain instances where you shouldn't do that.
Now that you have a common denominator, you need to change the numerators to accomadate the denominators. For 3 to turn into 12, you need to multiply it by 4, thus you have to do the same to the numerator. For 4 to turn into 12, you need to multiply it by 3. This will give you these two new fractions:
8/12 + 15/12
Add the numerators to get 23/12 and then simplify the two numbers to get the mixed number of 1 and 11/12.
Hope this helps!
Answer:
Polygon Name
Number of Interior Angles
Sum of Interior Angles = (n-2) x 180°
Triangle
3
180°
Quadrilateral
4
360°
<u><em> Pentagon </em></u>
<u><em> 5 </em></u>
<u><em> 540° </em></u>
Hexagon
6
720°
Step-by-step explanation:
You have to divide both sides by the coefficient, which is 25.6.
Answer: 1.4
