Answer:
16 nickels and 20 dimes
Step-by-step explanation:
16x5=80
20x10=200
80+200=280
280 cents = $2.80
Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
Answer:
m upper 2 - m - 42
Step-by-step explanation:
The answer is pi but to fifteen places
The first thing to do in this case is to perform the division and then compare with the simplified expression to determine the values of a, b, c and d.
We have then:
(12xy ^ 3 + 4x ^ 2y ^ 5) / (4xy ^ 2) =
3x (1-1) and ^ (3-2) + x ^ (2-1) and ^ (5-2) =
3x (0) and ^ (1) + x ^ (1) and ^ (3)
Then, comparing with the simplified expression:
3x ^ ay ^ b + 1x ^ cy ^ d
The value of a is
a = 0
answer
the value of a is 0