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KIM [24]
2 years ago
15

Y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4

Mathematics
1 answer:
sp2606 [1]2 years ago
6 0

Answer:

a. True.

Step-by-step explanation:

y = kx

y = 2 when x = 8 gives:

2 = 8 * k

k = 2/8 = 1/4.

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a river flows due south at 1.2 miles per hour. A swimmer attempting to cross the river heads due east swiming at 3 miles per hou
kotegsom [21]

Answer:

The swimmer must move in the direction 338.2°

Step-by-step explanation:

Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular,  the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.

The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph

So, θ = tan⁻¹(-1.2 mph/+ 3mph)

θ = tan⁻¹(-1.2/3)

θ = tan⁻¹(-0.4)

θ = -21.8°

θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)

θ = 338.2°

So, <u>the swimmer must move in the direction 338.2°</u>.

4 0
3 years ago
Please help will give brainliest
almond37 [142]

Step-by-step explanation:

\frac{32.5}{33.8}  = 0.9615

5 0
3 years ago
Read 2 more answers
Directions: Find the unit rate with the second given unit in the denominator.
aev [14]
Hi there,

OK were finding the unit rate for 60.00 dollar for 8 pizzas frist we divide 

60.00/8=7.5

OK so that the answer $7.50 per pizza<span />
8 0
3 years ago
Please answer! Will mark brainliest
hammer [34]

Answer:

They are

Step-by-step explanation:

4n+15

7 0
3 years ago
Yes; the corresponding sides are proportional.
wariber [46]
You need a picture to go with it.
6 0
3 years ago
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