Answer:
The diagonal is 30 inches
Step-by-step explanation:
Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this
a² + b² = c²
so we plug our two values to find the diagonal (hypotenuse)
24² + 18² = c²
576 + 324 = c²
900 = c²
c = √900
c = 30
The diagonal is 30 inches
Answer:
14.4 miles
Step-by-step explanation:
5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour
Answer:
(x + [1/4])2 + (y - 1)2 = (97/16)
Step-by-step explanation:
(x + [1/4])2 + (y - 1)2 = (97/16)
Answer:
Actually it's not polygon. it's a nonagon. With r=8.65mm″, the law of cosines gives us side a:
a=√{b²+c²−2bc×cos40°}
a=√{149.645−149.645cos40°}
Area Nonagon = (9/4)a²cos40°
=9/4[149.645−149.645cos40°]cot20°
=336.70125[1−cos(40°)]cot(20°)
Applying an identity for the cos(40°) does not get us very far…
= 336.70125[1−(cos2(20°)−1)]cot(20°)
= 336.70125[2−cos2(20°)]cot(20°)
= 336.70125[2−(1−sin2(20°))]cot(20°)
= 336.70125[1+sin2(20°)]cos(20°)sin(20°)
= 336.70125[cot(20°)+sin(20°)cos(20°)]mm²
Answer:
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Step-by-step explanation:
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