When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 3? . . Express your answer in simplest form.. . . .

Answers

Answer 1
Answer: Probability of rolling a number greater than 3:
P ( A ) = m/n
m =3,  (numbers 4, 5, 6)
n = 6,  (numbers 1 to 6).
P ( A ) = 3/6 = 1/2 = 0.5
Answer 2
Answer: the probability is 1/2

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Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach?0.8 ft

1.6 ft

9.8 ft

19.6 ft

Approximately, how long does it take until the soccer ball hits the ground again?

0.6 sec

0.8 sec

1.6 secs

2.8 secs

Answers

Answer:

Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs

Step-by-step explanation:

Since, the ball kicked will take the motion of projectile, therefore using the equation: h(t)= at^(2) +vt+d, where h(t) is the height of the soccer ball, a is the acceleration whose value is -16 ft/sec^2 and v= 35 feet and d is the starting height which is equal to zero.

Therefore, h(t)=at^(2) +vt+d                                                     (1)

Differentiating this  equation with respect to t,

h^(')(t)= 2at+v

                      0   =2(-16)t+25

                     32t=25

                      t= 0.781sec

Substituting the value of t in equation (1),

h(t)=-16(0.781)^(2) +25(0.781)

           =(-16)(0.609)+19.525

           =9.766

           ≈9.8ft

Hence, option C is correct.

Now, In order to determine the time taken until the soccer ball hits the ground, we take the equation:

h(t)= at^(2) +vt+d

Since, when the ball hits the ground, the height will become equal to zero, therefore we have, h(t)=0

Now, h(t)= at^(2) +vt+d

0= -32.174t^(2) +25t

0=t(-32.174t+25)

Then, one solution is t=0 and the other is: 0=-32.174t+25

32t=25

t=(25)/(32.174)

t=0.777 sec

t0.8 sec

Hence, option B is correct.

Answer:

9.8 ft for the maximum height

1.6 sec for the time it’ll take for the ball to hit the ground again

I just took a test and it shows me what I got wrong alongside the correct answers. And this was a question it asked.

Explain how to do this please ​

Answers

Answer:

60

Step-by-step explanation:

we know that it is less then 90 degrees so it can't be 110 and 70 degrees would be more extended from the horizontal line

Answer:

70°is your ans

Step-by-step explanation:

110+x=180° {being alternate interior angle}

x=180-110

x=70°

In right triangle ABC with the right angle at C, sin A= 2x + .1 and cos B = 4x - .7. Determine and state the vaule of x.

Answers

Imagine \angle A at the top of the triangle and \angle B at the bottom. (or used the attached picture for reference)

\sin A= (opposite)/(hypotenuse)

\cos B = (adjacent)/(hypotenuse)

One thing to note, however, is that the side opposite \angle A is the same side as the one adjacent to \angle B! Thus \sin A=\cos B.

Substitute these values for 2x+0.1 and 4x-0.7 and solve.

 4x-0.7=2x+0.1 \n 4x=2x+0.8 \n 2x=0.8\n \boxed{x=0.4}

Classify the following triangle. Check all that apply.

Answers

Triangle is both acute and scalene.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

we know that,

A scalene triangle has three unequal sides and angles, whereas an acute triangle has three acute angles (measured fewer than 90 degrees). Consequently, the characteristics of an acute scalene triangle are as follows: three lines that cross each other. a trio of sharp angles All sides are not equal.

Given

All angles are less than 90 degrees so it is acute. The sides are of difference lengths so it is scalene.

To know more about  acute triangles refer to :

brainly.com/question/1368335

#SPJ7

It has 90 degrees so it's right
And none of the sides are equal so it's scalene

9 + 4y = -5x + 7y solve for x

Answers

Answer:

To solve for x in the equation 9 + 4y = -5x + 7y, we can rearrange the equation to isolate the variable x. Let's move the terms involving x to one side of the equation:

-5x = 9 + 4y - 7y

Next, let's simplify the equation:

-5x = 9 - 3y

Finally, divide both sides of the equation by -5 to solve for x:

x = (9 - 3y) / -5

So, x is equal to (9 - 3y) divided by -5.

A salad bar offers 10 choices of toppings for lettuce. In how many ways can you choose 3 or 4 toppings.a. 210
b.330
c.120
d.720​

Answers

Answer:

the answer is c.120

Step-by-step explanation:

10 x 3 x 4 = 120

The answer is c. 120