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son4ous [18]
2 years ago
9

Approximately how many strides does it take to complete a marathon? Choose 1 answer:

Mathematics
2 answers:
Hunter-Best [27]2 years ago
5 0

Answer:

Step-by-step explanation:

Viefleur [7K]2 years ago
3 0
Male steps: 55,375
Female steps:62,926
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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

4 0
3 years ago
Read 2 more answers
There are white, blue, and red boats in a marina. Three-fourths of the boats in the marina are white, 4/7 of the remaining boats
insens350 [35]

Answer:

There are 84 total boats.

Step-by-step explanation:

In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.

1 * 1/4 = 1/4

Now we take that amount and multiply it by the amount that are not blue of the remaining.

1/4 * 3/7 = 3/28

Now that we have this, and we know this is 9 boats, we can divide 9 by this fraction and it will give us the total number of boats.

9 ÷ 3/28 = 84

8 0
3 years ago
Which answer shows 9x 10-5 written in standard form?
kolezko [41]

Answer:

0.0009

Step-by-step explanation:

8 0
3 years ago
Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro
Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0
2 years ago
5^3 - 64/8 plus 10^2
Murljashka [212]

5^3 - 64/8 + 10^2=217

5 0
3 years ago
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