Answer: d=5•t
Step-by-step explanation: She travels 15 miles in 3 hours, 10 miles in 2 hrs, and 5 miles in 1 hr. To find how many miles she'll travel in an amount of time multiply 5 times the hours.
If it were to be an equilateral or isosceles triangle, it would have at least 2 equal angles. That means that it must be scalene. It also must be obtuse, because it has an angle over 90 degrees. So this triangle is an obtuse scalene.
Answer:
The decibel range is
Step-by-step explanation:
Let
d -----> the decibel level of the music
we know that
The absolute value of the difference of the decibel level of the music and its average, must be less than or equal to 28 decibels
so
The absolute value that represent this problem is
Solve the absolute value
<em>First solution (positive)</em>
Adds 110 both sides
<em>Second solution (negative)</em>
Multiply by -1 both sides
Adds 110 both sides
therefore
The decibel range is
Answer: taking the bus to work takes 13 minutes longer.
Step-by-step explanation:
It usually took josh 2/5 of an hour to ride his bike to work. This means that the number of hours that it took Josh to ride his bike to work is
2/5 × 60 = 24 minutes
But on Monday, his bike was broken, so he took the bus to work which took 5/8 of an hour. This means that the amount of time that it took Josh spent on the bus to work is
5/8 × 60 = 37.5 minutes
The difference between the time spent riding the bike and time spent on the bus is
37.5 - 24 = 13 minutes
Answer:
see explanation
Step-by-step explanation:
(a)
(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )
x² = 12² + 15² - (2 × 12 × 15 × cos71°)
(b)
x² = 144 + 225 - 360cos71°
= 369 - 360cos71° ( take square root of both sides )
x =
≈ 16 cm ( to the nearest integer )