What is the volume of the sphere shown below? 13 A. 527 units O B. 676 3 i units 3 C. 8788 3 i units 3 O D. 10472 units3

Mathematics

1 answer:

vichka [17]3 years ago

6 0

527, because it is hope it helps

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5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio

kicyunya [14]

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85° below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy = -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

direction of boat = $tan^{-1} \frac{Vy}{Vx}$

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

3 0

3 years ago

The function, y(r)=2.76r , is used to convert Russian rubles in Japanese yen, and the function, P(y)=0.16y , is used to convert

timurjin [86]

They probably want 880 pesos, since they asked you do intermediate rounding

but a more accurate answer would be
883.20 pesos

To combine the functions, you'd substitute in 2.76r for y in 0.16y. This would give you 0.16(2.76r), which simplifies to 0.4416r, but they want you round this to the nearest hundredth, so its really 0.44r. Substitute in the 2000 for r and you get 0.44 * 2000 which is 880 pesos

5 0

3 years ago

True or false (picture provided)

Eddi Din [679]

False. That does not satify the equation

8 0

3 years ago

Read 2 more answers

A guidance counselor is studying test anxiety in freshman students. A random sample of 972 high school freshmen finds that 219 o

ArbitrLikvidat [17]

Answer:

The answer is B.