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3 years ago

It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train?

Mathematics

1 answer:

Contact [7]3 years ago

3 0

(S=D/T)S=216KM, T=8HOURS : 216/8=27KM/HOUR

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Match each description when z = 9 + 3i. 1. Real part of z 2. Imaginary part of z 3. Complex conjugate of z 4. 3i - z 5. z - 9 6.

sergey [27]

$1)\quad \Re(9+3i)=9\qquad\text{F}\\\\
2)\quad \Im(9+3i)=3\qquad\text{E}\\\\
3)\quad \overline{(9+3i)}=9-3i\qquad\text{D}\\\\
4)\quad 3i-(9+3i)=3i-9-3i=-9\qquad\text{A}\\\\
5)\quad 9+3i-9=3i\qquad\text{B}\\\\
6)\quad 9-(9+3i)=9-9-3i=-3i\qquad\text{C}\\\\$

5 0

3 years ago

What is the x? please answer!

zzz [600]

Answer:

x = 2

Step-by-step explanation:

1. distribute 9 in 9(x+1)

9x + 9 = 25 + x

2. subtract x from the right side to isolate x onto one side

8x + 9 = 25

3. subtract 9 from the left side

8x = 16

4. divide both sides by 8 to get x alone

x = 2

8 0

3 years ago

How many square feet of outdoor carpet will

anastassius [24]

Answer:

Step-by-step explanation:

24+12

4 0

3 years ago

Read 2 more answers

Which linear equation could David use to determine y, the total distance he could swim without stopping to rest?

Gala2k [10]

Answer:

I would say C

Step-by-step explanation:

because I think that 15 is the slope and the 35 is the y intercept. I could be wrong but that would be my guess

8 0

3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago