The answer is 290. First calculate the area of the rectangle part on the bottom. area=20*9=180 square yards. Then calculate the area of the triangle on the top. Base length is 20, while the height is 20-9=11, so the area is 20*11/2=110. 180+110=290 square yards in total.
Answer:
II + III = 176
II = 44
III = 132
Step-by-step explanation:
Third round: 132
Second round: 3x=132
x=44 (second round)
2rounds: 132+44=176
Answer:
Step-by-step explanation:
I believe they compare because both butterflies can have a wingspan of 3.5 in. Hope this helps
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
