Answer:
A
Step-by-step explanation:
You can multiply both sides on an equation by the reciprocal to cancel the fraction on the first side.
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle. the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.so the answer for this question is (-4,5)
Area of square = 24cm²
⇒ Length = √24
Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30
The diagonal of half of the square is the radius of the circle.
⇒ radius = √30
Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π
Answer: 15π²
(Unless my math is wrong) it is 390 miles
9514 1404 393
Answer:
(c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Try the numbers in the constraints to see if they work.
<u>Build hours</u>:
(4 h/child bike)(10 child bikes) = 40 hours
(6 h/adult bike)(12 adult bikes) = 72 hours
total build hours: 40 +72 = 112, less than 120; constraint is met
<u>Test hours</u>:
(4 h/child bike)(10 child bikes) = 40 hours
(4 h/adult bike)(12 adult bikes) = 48 hours
total test hours: 40 +48 = 88, less than 100; constraint is met
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Both constraints are met, so the order can be filled.