Answer:
3.95(3) + 8.95b = 47.65
11.85 + 8.95b = 47.65
Subtract 11.85 from both sides.
8.95b = 35.8
Divide 8.95 from both sides.
b = 4
Hugh bough 4 books.
Step-by-step explanation:
3.95(3) + 8.95b = 47.65
11.85 + 8.95b = 47.65
Subtract 11.85 from both sides.
8.95b = 35.8
Divide 8.95 from both sides.
b = 4
Hugh bough 4 books.
Answer:
c
Step-by-step explanation:
CE = CD + DE = 2DE + DE = 3DE = 8.7
DE = 8.7/3 = 2.9
CD = 2DE = 5.8
For the inscribed circle, where center is point D. The radius is length DE.
This is because the circle will touch the 3 points where the bisectors intersect with sides of triangle.
radius = 2.9
For circumscribed circle, the center will also be point D. The radius is CD.
The circle will touch 3 points of triangle, A,B,C.
radius = 5.8
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
