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We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

Hope it helps, Pls mark as Brainliest!!!

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Answer:

7x-58

just add all the terms

Width (7.8) x length (7.8) x width (7.8) = 474.552

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Figure 3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:

[tex]904.32=\frac{4}{3}\pi r^3[/tex]

Dividing both sides by pi or 3.14:

[tex]288=\frac{4}{3}r^3[/tex]

Dividing both sides by 4/3:

[tex]216=r^3[/tex]

Taking the cube root of both sides:

[tex]r=6[/tex]

Hope this helps!

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Answer: You Would have To know How Far it will go In the next 60 min. (c

Step-by-step explanation:

Answer:The answers are down there.

Step-by-step explanation:

A) The speed of the train on the last section is  20miles/ 30 minutes  which 0.66 miles per minute.

B) It traveled the fastest from 50 to 60 minutes or 30 miles to 60 miles.

C) The train will travel 60 miles in 60 minutes.

D)The train stopped for  20 minutes during the journey.

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

Answer:

2x

Step-by-step explanation:

Each number is mutiplied by 2

Answer: it doubles

Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

Answer:

B)6 units

Step-by-step explanation:

-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10

or

-7-(-1)=-6

Distance can't be a negative so the answer is 6.

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

Answer:

13.5

Step-by-step explanation:

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation: