If you are really clever, you can convert between units used. If you want toknow how fast the ball is travelling in the above question in km/hr we must
first convert metres to km and seconds into hours.
Metres to kilometres = 22,metres ÷ 1000 (1000 metres in a kilometre)
.022 km
Seconds to hours = 0.6s+ 3600 (60 seconds in a minute x 60 minutes in an hour)
60min
⇒ Calculate the speed of the ball in km/hr (remember km + hours)
⇒ An aeroplane travels from Brisbane to Melbourne in 2 hours. The
distance travelled is 1700km. What was its speed in km/hr and m/s?
⇒ A student walks 8km in 2 hours. What was its speed in km/hr and
m/s?

Answers

Answer 1

Answer: Let's calculate the speed in km/hr and m/s for both scenarios:

**Scenario 1: Ball Travel**

You've already provided the conversions for meters to kilometers and seconds to hours, which are correct.

Distance (in km) = 22 meters / 1000 = 0.022 km
Time (in hours) = 0.6 seconds / 3600 = 0.000167 hours

Now, calculate the speed:
Speed (in km/hr) = Distance / Time = 0.022 km / 0.000167 hours ≈ 131.74 km/hr

**Scenario 2: Aeroplane Travel**

Distance (in km) = 1700 km
Time (in hours) = 2 hours

Now, calculate the speed:
Speed (in km/hr) = Distance / Time = 1700 km / 2 hours = 850 km/hr

To convert this speed to m/s, remember that 1 km/hr is approximately 0.27778 m/s:
Speed (in m/s) ≈ 850 km/hr × 0.27778 m/s/km/hr ≈ 236.11 m/s

**Scenario 3: Student Walking**

Distance (in km) = 8 km
Time (in hours) = 2 hours

Now, calculate the speed:
Speed (in km/hr) = Distance / Time = 8 km / 2 hours = 4 km/hr

To convert this speed to m/s:
Speed (in m/s) ≈ 4 km/hr × 0.27778 m/s/km/hr ≈ 1.1111 m/s

So, in summary:

**Scenario 1: Ball Travel**
- Speed in km/hr: Approximately 131.74 km/hr

**Scenario 2: Aeroplane Travel**
- Speed in km/hr: 850 km/hr
- Speed in m/s: Approximately 236.11 m/s

**Scenario 3: Student Walking**
- Speed in km/hr: 4 km/hr
- Speed in m/s: Approximately 1.1111 m/s

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Evaluate the exact value: tan(pi/6)

Answers

pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

The exact value of tan (π/6) is 1/√3.

Given a trigonometric function,

tan (π/6)

We have to find the exact value of the given function.

We know that, the value of π/6 in degrees is 30 degrees.

So here, we have to find the value of tangent function of 30 degrees.

We know that,

Tan (x) = sin (x) / cos (x)

Here x = π/6

Tan (π/6) = sin (π/6) / cos (π/6)

= (1/2) / (√3 / 2)

= 1/√3

Hence the tan (π/6) is 1/√3.

Learn more about Tangent Functions here :

brainly.com/question/22161213

#SPJ6

7. What is an expression equivalent to 5(3x+2) using the distributive property?

Answers

Answer:

15x + 10

Step-by-step explanation:

Answer:

15x + 10

Step-by-step explanation:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.x+3y=9
3x-y=7

Answers

$\left \{ {{x+3y=9~(3)} \atop {3x-y=7(-1)}} \right. \n \n \left \{ {{3x+9y=27} \atop {-3x+y=-7}} \right. \n \n10y=20\n \ny= (20)/(10) \ny=2$

$x+3y=9\nx=9-3y\nx=9-3.2\nx=3$

$S=\{3,2\}$

One solution.

$x+3y=9\n 3x-y=7\ / \cdot 3\n \n x+3y=9\n 9x-3y=21\n \n 10x=30\ /:10\n x=3\n \n x+3y=9\n 3+3y=9\n 3y=6\n y=2\n one\ solution - (3;2)$

Help meeeeeeeeeeeee pleaseeeeeeee

Answers

Answer:

i think its b

Step-by-step explanation:

Which statement illustrates the distributive property?
Please help

Answers

It's letter C

Addition, you can have 6 + 107 = 113
Commutative Property by moving: 107 + 6 = 113
Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113
Distributive Property by allotting: 2 (3) + 107 = 113

Multiplication, you can have 6 x 107 = 642
Commutative Property by moving: 107 x 6 = 642
Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642
Distributive Property by allotting: 2(3) x 107 = 642

Answer:

the answer is C

Step-by-step explanation:

CAUSE I GOT A BIG BRAIN

The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers.

Answers

x + y = 92

x/5 + y/2 = 34 / both sides *10
10.x/5 + 10.y/2 = 340
2x + 5y = 340
__________________________________

x + y = 92 /both sides *-2
2x + 5y = 340

__________________________________

-2x -2y = -184
+ 2x +5y = 340
3y = 156
y = 32

x + y = 92
x + 32 = 92
x = 60

$x+y=92\n (1)/(5)x+(1)/(2)y=34\n\n x=92-y\n 2x+5y=340\n\n 2(92-y)+5y=340\n\ 184-2y+5y=340\n 3y=156\n y=52\n\n x+52=92\n x=40$

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