While playing football, John lost 4 yds, then gained 15 yds, then lost 4 yds. How many yards did he gain from the three plays?​

Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:

We have to find the value for sin [tex] \theta[/tex]

So, Let's start solving....

In ∆ADB and ∆ABC,

So, ∆ADB ~ ∆ABC (By AA similarity)

The corresponding sides will be:

[tex] \sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }[/tex]

We know the value of AB and to find AC, we can use Pythagoras theoram that is:

AC = √6² + 8²

AC = 10

Coming back to the relation,

[tex] \sf{ \dfrac{AD}{6} = \dfrac{6}{10} }[/tex]

[tex] \sf{AD = \dfrac{6 \times 6}{10} = 3.6}[/tex]

In ∆ADB, we have to find sin [tex] \theta[/tex] which is given by perpendicular/base:

[tex] \sf{\sin( \theta) = \dfrac{AD}{AB} }[/tex]

Plugging the values of AD and AB,

[tex] \sf{\sin( \theta) = \dfrac{3.6}{6} }[/tex]

Simplifying,

[tex] \sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}[/tex]

And this is our final answer.....

Carry On Learning !

Answer:

1) 53

2) 35

3) 28

4) 42

Step-by-step explanation:

Sum of angles in all triangles is 180 so add the two known angle measurements and subtract from 180.

Answer:

n+8

Step-by-step explanation:

"A number" signifies the need for a variable, in this case, n. The keyword increased shows that the operation is addition. So put it together and you get n+8.

Answer:

the answer to it is n + 8. :3

Answer: Second company (in the table), aka #1 toys, produces at a slower rate

============================================================

Explanation:

The equation y = 123x is in the form y = mx+b with m = 123 as the slope. The slope is the rate of change telling us how many toys per minute are produced. In this case, 123 toys per minute is the rate for the first company.

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We'll need the slope of the other function. So we need to pick two rows from the table and use the slope formula. I'll pick the first two rows.

m = (y2-y1)/(x2-x1)

m = (1320-600)/(11-5)

m = 720/6

m = 120

The second company produces at a rate of 120 toys per minute. This is the smaller rate, so this company produces at a slower speed.

Answer:

(4,3)

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

They are dumpy because they can’t try

Answer:

f(x) - 2

Step-by-step explanation:

I just took the quiz

Answer:

208.333

Step-by-step explanation:

A quadratic model for a certain stock on Wall Street is given by :

[tex]P=-3d^2+50d[/tex] ...(1)

(a) We need to find the maximum price per share of the stock. For maximum value, put :

[tex]\dfrac{dP}{dd}=0[/tex]

[tex]\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34[/tex]

price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).

[tex]P=-3(8.34)^2+50(8.34)\\\\P=208.333[/tex]

So, the maximum price per share of the stock is 208.333.

Answer:

for every 2 shirts, the 3rd is free

Step-by-step explanation:

Answer:

4n+4

Step-by-step explanation:

If the first odd integer is 2n+1, the second must be 2n+3.

Add them and get 2n+1+2n+3 = 4n+4.

Example: if n=5 the numbers are 11 and 13 and their sum is 24

4*5 + 4 = 24.

Answer:

perpendicular is opposite and reciprocal

Step-by-step explanation:

The slope is -1 and the reciprocal/ perpendicular is 1x

Answer:

the answer is 1

Step-by-step explanation:

Answer:   [tex]f^{-1}(x)=\dfrac{8x+3}{x-6}[/tex]

Step-by-step explanation:

To find the inverse, swap the x's and y's and solve for y.  Note that f(x) is y.

[tex]\underline{\text{Given:}}\\y=\dfrac{6x+3}{x-8}\\\\\\\underline{\text{Swap the x's and y's:}}\\x=\dfrac{6y+3}{y-8}\\\\\\\underline{\text{Solve for y:}}\\x(y-8)=6y+3\\\\xy-8x=6y+3\\\\xy-6y=8x+3\\\\y(x-6)=8x+3\\\\\large\boxed{y=\dfrac{8x+3}{x-6}}[/tex]

Answer:

b-7+10

Step-by-step explanation:

If there is no specific number or if there isn't anything as an equal sign then there is only that

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

The prove of statement ''in any triangle the length of a side is less than the half of the perimeter'' is shown.

What is Perimeter?

The sum of all sides of a quadrilateral is called a perimeter.

Given that;

The statement is,

''In any triangle the length of a side is less than the half of the perimeter''.

Now,

Let sides of triangles are a, b and c.

The triangle inequality is;

a + b > c

Add both side by c;

a + b + c > c + c

a + b + c > 2c   .... (i)

Since, Perimeter of a triangle with sides a, b and c is;

Perimeter (P) = a + b + c

Substitute value of perimeter in equation (i), we get;

a + b + c > 2c

P > 2c

c < P/2

Thus, In any triangle the length of a side is less than the half of the perimeter.

Learn more about the perimeter visit:

https://brainly.com/question/22447290

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Answer:

B——A for top two

C——D for bottom two

Answer:

y = 3

Step-by-step explanation:

Given

- 7y - 17 = - 38 ( add 17 to both sides )

- 7y = - 21 ( divide both sides by - 7 )

y = 3

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

[tex]-7y - 17 = -38[/tex]

Add 17 both sides

[tex]-7y - 17 + 17= -38+17[/tex]

[tex]7y= -21[/tex]

Divide both sides by -7

[tex]\dfrac{-7y}{-7}=\dfrac{-21}{-7}[/tex]

[tex]y=3[/tex]

Answer:

The expression to solve the golfer's score is X = A + B + C

The golfer's score is 0 (The golfer is at par)

Step-by-step explanation:

The given information are;

The score the golfer must have = 0

The score, A, the golfer has on the first hole = +4

The score. B, the golfer has on the second hole = -3

The score. C, the golfer has on the third hole = -1

Therefore, the expression to calculate the golfer's score, X, is given as follows;

The golfer's score = The score the golfer has on the first hole + The score the golfer has on the second hole + The score the golfer has on the third hole

The expression to solve the golfer's score is given as follows;

X = A + B + C

The golfer's score = 4 - 3 - 1 = 0

The golfer's score = 0.

Answer:

3

Step-by-step explanation:

Answer:

y=  -3x-7

Step-by-step explanation:

Answer:

h=[tex]\frac{b\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

its a photo hope this will help you

mark me as brainlest

Answer:

f(x)=3/2 x

Step-by-step explanation:

it starts at 0 and rise 3 and goes over 2

The answer is [tex]f(x)=\frac{3}{2}x[/tex]

First, you must find 2 points.

(0,0)   (2,3)

Then, you must use the slope equation

[tex]\frac{3-0}{2-0}=\frac{3}{2}[/tex]

The line crosses the y axis at 0, so there is no y intercept

[tex]f(x)=\frac{3}{2}x[/tex]

Answer:

He spent on fruit after 5 months is $110.

In 15 months he spent $280.

Step-by-step explanation:

Fixed pay for membership is $25

And enrollment fee is $17 for each month.

The equation represents this situation is

y= 17 x + 25

He is going to stop receiving fruits once he spent $280.

Now, to find how much he spent on fruit after 5 months is plugin x as 5 into

y=17x+25 for x

y=17(5)+25

y=85+25

y=110 dollars

Now, to find how many months until $280 is to plug in y as 280 then solve the equation for x.

280 = 17 x+25

Subtract both sides 25

255 =17 x

Divide both sides by 17

x= 15 months

Step-by-step explanation:

given the perimeter is

64ft

the length l= 3w

we know that the perimeter of a rectangle is given as

P=2l+2W

but L=3w

64=2(3w)+2w

64=6w+2w

64=8w

divide both sides by 8 we have

w=64/8

w=8ft

also

let the lenght of the rectangle be l

side of hexagon=l-4

perimeter of hexagon

P=5(l-4)

P=5l-20

width of rectangle w=l-2

perimeter of rectangle= 2l+2w

but w=l-2

5l-20= 2l+2(l-2)

5l-20=2l+2l-4

5l-20=4l-4

5l-4l=-4+20

l=16ft

perimeter of hexagon

P=5(l-4)

put l=16

perimeter of hexagon

P=5(16-4)

p=5(12)

P=60ft

Answer: 2(3(8))+(2+8)=64 or c

Step-by-step explanation:

You have to replace w with 8 meaning 8 is now the width, therefore, c is the correct answer.

Answer:

Step-by-step explanation:

1 think 12 or 13