3. tan(α) = height/distance
distance = height/tan(α)
distance = (648 m)/tan(13°) ≈ 1399.5 m
6. when y = |x| is translated 6 units down, 6 is subtracted from the y-value:
.. y = |x| -6
10. In point-slope form, the line through point (h, k) with slope m is
.. y -k = m(x -h)
For (h, k) = (10, -9) and m = -2, you have
.. y +9 = -2(x -10)
Answer:
8
Step-by-step explanation:
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Answer:
Andre scored 14 points.
Equation: x = 14
Step-by-step explanation:
Let the number of points Andre scored be x.
Diego's points = x-9
Noah's points = (x-9) × 2
= 2x-18
Now, you know the exact value of Noah's points which is 10.
2x-18 = 10
Isolate the 2x.
2x = 10+18
= 28
x = 28÷2
= 14
Answer:
Swimming one time around the pool is 56.5 ft
Step-by-step explanation:
Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.
The circumference of the circle is calculated using:

where d=18 is the diameter and π=3.14 as given.
We substitute the values to get:


We approximate to the nearest tenth to get:

Answer:
6 years
Step-by-step explanation:
1.75% of 1,200 = 21
so 1 year= 21
21+21= 42 2 years
42+21=63 3 years
63+21=84 4 years
81+21=105 5 years
105+21=126 6 years
Or you can do
21x6=126 so it has to equal 6 years