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natta225 [31]
3 years ago
10

A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag .

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
What is the question?
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A 2-mile walking trail has a distance marker every 1\4 mile. How many markers are along the trail?
natita [175]

Answer: 8

Step-by-step explanation:

From the question, we are informed that a 2-mile walking trail has a distance marker every 1\4 mile. Hl

The number of markers that are along the trail will be calculated as:

= Length of walking trail / interval of distance marker

= 2 ÷ 1/4

= 2 × 4

= 8

There are 8 markers along the trail.

7 0
3 years ago
a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
4 years ago
A circle has a circumference of 6. it has an arc of length 1/3
Maksim231197 [3]

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s:  s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3  /  (6/π), or  Ф = π/18 rad.    

                                                                           π         180°

Converting this into degrees, we multiply    ------ by ----------

                                                                           18        π rad

obtaining:  Ф = 10°

3 0
3 years ago
Read 2 more answers
If a car travels 172 miles in 4 hours how long will it take to travel 387 miles
Contact [7]
172/387 = 4/t

Let t = time to travel 387 miles

172t = 4(387)

172t = 1548

t = 1548/172

t = 9

Answer: 9 hours
4 0
3 years ago
When price increases, quantity supplied:
lara31 [8.8K]
It should increase but I’m between stays the same or increase, I’m not sure in a 100% sorry...
3 0
3 years ago
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