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Could you please help me with this question and explain thoroughly?

Answer:

Yes, Samuel dart does land on the dart board

Step-by-step explanation:

The given parameters are;

The height from the floor to the bulls eye = 5 feet 8 inches

The size of the standard board = 18 inches diameter

The distance of the bulls eye from the wall to the left = 11 feet

The distance the dart Samuel throws land from the left wall = 11.5 feet

The distance above the ground, the dart Samuel throws land = 5.5 feet

Whereby Samuel throws the dart directly at the dartboard, we have;

The location of the bulls eye = (11, 5.67)

The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625

The unit of the radius is in feet

The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)

Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;

(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²

Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;

Yes, Samuel dart does land on the dart board.

From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;

Samuel's dart does not land on the dartboard.

We are given;

Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft

Diameter of the standard dartboard = 18 in = 1.5 ft

Thus, radius; r = 1.5/2 = 0.75 ft

Distance of the bulls eye from the wall to the left = 11 ft

Distance of dart thrown by Samuel from the left wall = 11.5 ft

Height of dart thrown by Samuel above the ground = 5.5 ft

We know that general equation of a circle is;

(x - a)² + (y - b)² = r²

Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft

And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft

Thus;

(x - 11)² + (y - 5.67)² = 0.75²

(x - 11)² + (y - 5.67)² = 0.5625

Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;

r² = (11.5 - 11)² + (5.5 - 5.67)²

r² = 0.2789

r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.

Read more at; https://brainly.com/question/18430680

Answer:

Step-by-step explanation:

This questions bothers permutation since permutation talks about arrangement.

The number of ways n objects can be arranged is n! ways

n! = n(n-1)(n-2)!

If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

5! = 5*4*3*2*1

5! = 20*6

5! = 120 different arrangements

Answer: C. Rotation

Step-by-step explanation:

on ed

Answer:

the answer is C rotation

Step-by-step explanation:

on ed 2020

Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

Answer:

6x+1

Step-by-step explanation:

9x+2x-5x+7-6

11x-5x+7-6

6x+1

Awnser: 6x+1 :D

What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1

Answer: He can load at most 20 boxes.

Step-by-step explanation:

Let x = Number of boxes.

Then, Weight of 75 boxes = 75x

Also, Weight of worker = 200 pounds

So total weight in elevator =  Weight of 75 boxes + Weight of worker

=  75x  +200

A warehouse elevator can hold 1750 pounds.

∴ 75x  +200 ≤ 1750

⇒ 75x ≤ 1750 -200

⇒ 75x ≤ 1550

⇒ x ≤ 20.67   [Divide both sides by 75]

It implies the maximum number of boxes it can hold = 20

Hence, the true statement is

He can load at most 20 boxes.

Answer:

t=t

Step-by-step explanation:

we need h

Answer:

Yes

Step-by-step explanation:

3 x 48 = 144

4 x 36 = 144

They are equal.

Answer:

3 * 48 is 144 4 x 36 is also 144 so yes they are equal

Vertex Vertex Vertex

Answer:

An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796

i would say 6 circles, so the second one.

Answer:

6 circles

Step-by-step explanation:

because yess

Answer:

3.3 x 10⁻⁴

Step-by-step explanation:

Given expression:

           [tex]\frac{2.64 x 10^{-3} }{8.0 x 10^{0} }[/tex]

 To solve this problem;

    10°   = 1

So;

             [tex]\frac{2.64 x 10^{-3} }{8.0}[/tex]

    =  [tex]\frac{2.64}{8}[/tex]  x 10⁻³

    = 0.33 x 10⁻³

    = 3.3 x 10⁻¹  x 10⁻³

     = 3.3 x 10⁻⁴

Answer:

(0,4)

Step-by-step explanation:

The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.

N only comes up from 0 on the x-axis, so that's the first part of the coordinate.

Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.

so your answer is (0,4)

Answer:

first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt

is 10.50$

Answer: X=2.9

Step-by-step explanation:

Answer:

The answer would be -4/3x+y=-2/3

Step-by-step explanation:

The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

Answer:

If r= 5 in 3r+(2-4)

it will beome

3(5)+(2-4)

=  15+(-2)

=  15-2

=  13

Answer:

x=4

Step-by-step explanation:

Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.

Answer:

A.) x = 4

Step-by-step explanation:

If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:

[tex]\frac {(4+20)} {2} = 12[/tex]  which is equal to 3(4).

Answer:

27 tomatoes

Step-by-step explanation:

Answer:

27kg

Step-by-step explanation:

352 divided by 44 equals 8.  216 divided by 8 equals 27.  So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.

Answer:

1)There has just been a dilation and translation of the first triangle to get to the second. Their hypotenuses have the same slope of +1.

2)There has just been a dilation since they are on about the same points of the line with a slope of  1  1/2.

3)They are related because they are both on the line with a slope of -3/2

4)Only a translation happened since they are the same size and are on the same line that has a slope of 2/3

Step-by-step explanation:

Answer:

2.096

Step-by-step explanation:

Answer:

3 and 4

Step-by-step explanation:

13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.

Answer:

2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4

Step-by-step explanation:

I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.

Answer:

-23x.

Step-by-step explanation:

5x(9 - 3) +7.

5x times 9 = 45.

5x times -3 = -15.

45x - 15 +7.

45x - 15 = 30.

-30 + 7 = -23.

Hope this helps!

Have a good day ma'am/sir.

Be safe!