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2 years ago

32. A person who is 5 feet tall is standing 80 feet from the base

Mathematics

1 answer:

Allushta [10]2 years ago

4 0

71.67 ft would be the answer i think haha

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A waitress sold 11 ribeye steak dinners and 18 grilled salmon dinners, totaling 592.29 on a particular day. Another day she sold

Rina8888 [55]

Let the cost of 1 ribeye steak dinner = x

The cost of 1 salmon dinner = y

Then,

11x + 18y = 592.29 (1)

16x + 6y = 580.56 (2)

Multiplying the second equation by 3, we get,

48x + 18y = 1741.68 (3)

(3) - (1) gives

37x = 1149.39

x = 31.06

Substituting the value for x in (1), we get,

11(31.06) + 18y = 592.29

341.66 + 18y = 592.29

18y = 250.63

y = 13.92

Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.

8 0

3 years ago

Complex numbers & DeMoivre's theory<br> If z=-1-√3 i and z^6=a+bi, a=_____ and b=_____

Mice21 [21]

Convert $z$ to exponential/polar/trigonometric form:

$r=|z|=\sqrt{(-1)^2+(-\sqrt 3)^2}=2$

$\tan\theta=\dfrac{-\sqrt3}{-1}\implies\theta=\dfrac{4\pi}3$

$\implies z=-1-\sqrt3\,i=2e^{4\pi/3\,i}=2\left(\cos\dfrac{4\pi}3+i\sin\dfrac{4\pi}3\right)$

By DeMoivre's theorem,

$z^6=\left(2e^{4\pi/3\,i}\right)^6=2^6e^{24\pi/3\,i}=64e^{8\pi\,i}$

$z^6=64\left(\cos8\pi+i\sin8\pi)=64$

so that $a=64$ and $b=0$ .

8 0

3 years ago

I need help answering number 8 please

swat32

The diagram of the triangle is shown below

One interior angle is 56°
One exterior angle is 103° ⇒ we can work out one interior angle 180°-103° = 77°

The other interior angle is 180° - (56°+77°) = 44°

5 0

3 years ago

At a 3-mile cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the athlete's average speed?

Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0

2 years ago

Which list includes the lower extreme, the lower quartile, the median, the upper quartile, and the upper extreme for the data se

PtichkaEL [24]

Lower extreme- 8
Lower quartile- 20
Median- 30
Upper quartile- 35
Upper extreme- 42

Hope this helps!

7 0

2 years ago