Answer:
The measure of angle θ is 7π/6. The measure of its reference angle is <u>210°</u>
and sin θ is <u>-1/2</u>.
Step-by-step explanation:
The correct question is:
<em>The measure of angle θ is 7π/6. The measure of its reference angle is ___</em>
<em>and sin θ is ___</em>
180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:
180° / π radians = x° / (7π/6 radians)
x = (180/π) * (7π/6 radians)
x = 210°
And sin(210°) = -1/2
<h3>
Answer: 0.34</h3>
============================================================
Explanation:
A = 0.61 is given to us
Pumpkin B travels 0.28 of a mile further than A does, so,
B = A+0.28 = 0.61+0.28 = 0.89
Pumpkin B travels 0.89 of a mile.
---------------------
Pumpkin C travels 0.06 of a mile more than B does, which means,
C = B + 0.06
C = 0.89 + 0.06
C = 0.95
Pumpkin C travels 0.95 of a mile.
---------------------
The last thing to do is to subtract the values of C and A
C - A = 0.95 - 0.61 = 0.34
Pumpkin C travels 0.34 of a mile further compared to pumpkin A.
---------------------
Side note: if you want to convert from miles to feet, then multiply by 5280.
For instance, 0.61 miles = 0.61*5280 = 3,220.8 feet.
Well 40 divided by 5 is 8 and you don't have options so I would say 8 loads a day :)
Answer:
The total number of hikers are 427
Step-by-step explanation:
Let:
The number of bikers = x
The number of hikers = y
There are 178 more bikers than hikers
y = x + 178
if there are 676 people in the park total how many people are hikers?
Hence:
x + y = 676
we substitute x + 178 for y
x + x + 178 = 676
2x + 178 = 676
2x = 676 - 178
2x = 498
x = 498/2
x = 249
y =x + 178
y = 249 + 178
y = 427
Therefore:
The number of bikers = x = 249
The number of hikers = y = 427
The total number of hikers are 427