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Must Waste More Time...
1. Пусть первый тракторист может самостоятельно выполнить задание за х часов, а второй за (х+7) часов,зная, что вместе они могут выполнить задание за 12 часов, имеем уравнение:
12x+84+12x-x^2-7x=0
x^2-17x-84=0
2. а-производительность первой трубы
b-производительность второй трубы
c-произовдительность третьей трубы
d-производительность четвертой трубы
a+b+c=1/105
a+b+d=1/75
c+d=1/175
складываем эту систему
получаем:
2a+2b+2c+2d=1/105+1/75+1/175
2(a+b+c+d)=1/35
a+b+c+d=70
итого, 70 минут, 1 час 10 минут
ответ: 1 ч 10 мин
x1=21, x2=-4 - не удовлетворяет условию задачи
Значит первый тракторист выполнить задание самостоятельно за 21 час, а второй - за 28 часов
ответ: 21 час и 28 часов.
Острый угол параллелограмма ABCD равен 88°.
Объяснение:
Рисунок прилагается.
Дано: ABCD параллелограмм, AE биссектриса, <AEB=44°. Найти величину острого угла параллелограмма.
Решение.
В параллелограмме противолежащие стороны параллельны. ВС ║AD. Биссектриса AE является секущей. ⇒ ∠AEB = ∠EAD = 44° как накрест лежащие при параллельных прямых и секущей.
Биссектриса AE делит ∠BAD на два равных угла: ∠EAD = ∠EAB = 44°. ⇒
∠BAD = 2 * 44° = 88° и он является острым.
Острый угол параллелограмма ABCD равен 88°.