Answer:
8 16 24 32 <u>40</u> 48 56 64 <u>72</u>
1 2 3 4 <u>5</u> 6 7 8 <u>9</u>
Step-by-step explanation:
The proportion is 8:1
When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.
Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.
Refer to the diagram shown below.
Let d = the horizontal distance from Charlie to the plane.
By definition,
tan(32°) = 1694.8/d
1694.8/d = 0.6249
d = 1694.8/0.6249 = 2712.2 ft
Answer: 2,712.2 ft
The area of a rhombus is half of the product of the lengths of the diagonals.
area = (7.5 yd + 7.5 yd)(13 yd + 13 yd)/2
area = (15 yd)(26 yd)/2
area = 390 yd^2/2
area = 195 yd^2
Answer: 195
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.