A grande with a counter weight is shown in the figure. Find the horizontal distance between points A and D.

Answer:

It's answer is - 9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4......

[tex]\huge\bold{Given:}[/tex]

Length of the base = 8

Length of the hypotenuse = 17

[tex]\huge\bold{To\:find:}[/tex]

The length of the third side ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\purple{x\:=\: 15}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + (8)² = (17)²

[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + 64 = 289

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 289 - 64

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 225

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex]\sqrt{225}[/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex]15[/tex]

Therefore, the length of the missing side [tex]x[/tex] is [tex]15[/tex].

[tex]\huge\bold{To\:verify :}[/tex]

[tex]\longrightarrow{\green{}}[/tex] (15)² + (8)² = (17)²

[tex]\longrightarrow{\green{}}[/tex] 225 + 64 = 289

[tex]\longrightarrow{\green{}}[/tex] 289 = 289

[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]

Answer:

to get x you need to divide

210/42= 5

x=5

210 = 42x

210/42=5

42*5=210

so remove the x it'd be 210 = 42(5)

x = 5

Answer:

x = 1 and y = 1

Step-by-step explanation:

You can eliminate x first to get the value of y which is 1 and then replace it in one of the equations.

Solution :

a). P(X = x)

     =   [tex]$p(1-p)^x$[/tex]  for x = 0, 1, 2, ....

   P(x ≤ 3) = 0.837

b). Expectation = [tex]$\frac{(1-p)}{p}$[/tex]

                        = 1.7397

  Variance = [tex]$\frac{(1-p)}{p^2}$[/tex]

                 = 4.7663726

  Standard deviation = 2.1832

 Therefore, mean + standard deviation

                  = 1.7397 + 2.1832

                  = 3.9229

[tex]$P(x > 3.9229) = 0.1626$[/tex]

So the required P = 2 x 0.1626

                             = 0.325

Answer:

Firstly you must find the slope of two point

Step-by-step explanation:

m=(y2-y1)/(x2-x1) m=-8/4 = -2 after this step you should choose one point. I want to choose (3,1) y-1=2*(x-3). our equation y=2x-7

Answer:please write in english

Step-by-step explanation:

Answer:

Simpson's Paradox

Step-by-step explanation:

Answer:

Simpson's Paradox

Step-by-step explanation:

Got it right on the test.

Answer:

1)  2/20 x 200 = 1/10 x 200 = 20

2) 3/20 x 200 = 30

3) 4/20 x 200 = 1/5 x 200 = 40

4) 5/20 x 200 = 1/4 x 200 = 50

5) 18/20 = 9/10 x 200 = 180

Answer:

Step-by-step explanation:

A = [tex]pe^{rt}[/tex]

A = 100[tex]e^{.08 *15}[/tex]

A=. $332.01

The value of the investment after 15 years is $332.01.

Option A is the correct  answer.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

The continuous compounding formula is given by:

[tex]A = Pe^{rt}[/tex]

Where:

A = the ending amount

P = the principal (initial investment)

e = the mathematical constant (approximately equal to 2.71828)

r = the interest rate (as a decimal)

t = the time period (in years)

Using this formula, we can find the value of the investment after 15 years:

A = 100 \times e^{0.08 \times 15} ≈ $332.01

Therefore,

The value of the investment after 15 years is $332.01.

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Answer:

Question... is the commission given 10 times or 3?

If the commission is 10 then

5*(48,000 * .075) + 3*(48,000 * .05) +2*(48,000 * .035)

5*(3600) + 3*(2400) +2*(1680)

= 28560

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If the commission is 3 then (once for first five years, once for the next three,

and once for the last two

(48,000 * .075) + (48,000 * .05) +(48,000 * .035)

=7680

Step-by-step explanation:

Answer:

C.-37/7

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, -6)

Slope, m = -1/7

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the y-intercept of the line, we would use the following formula;

y - y1 = m(x - x1)

y - (-6) = -⅐(x - 5)

y + 6 = -⅐x + 5/7

y = -⅐x + (5/7 - 6)

y = -⅐x - 37/7 = mx + c

Therefore, y-intercept (c) = -37/7

Answer:

x = 32

exterior = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the  opposite interior angles

40 + 2x = x+72

Subtract x from each side

40+2x-x = x+72-x

x+40 = 72

Subtract 40 from each side

x+40-40 =72-40

x = 32

The exterior angle

x+72 = 32+72 = 104

Answer:

- At 95% confidence interval, the true mean is ( 13.5245 < μ < 15.0755 )

- the time allowed will be  0.50 hours or 30 minutes

Step-by-step explanation:

Given the data in the question;

sample size; n = 28

mean; x" = 14.3 miles

standard deviation; S = 2 miles.

degree of freedom DF = n - 1 = 28 - 1 = 27

confidence interval = 95%

level of significance = 1 - 95% = 1 - 0.95 = 0.05

so

[tex]t_{\alpha /2, df[/tex] = [tex]t_{0.025, df=27[/tex] = 2.0518

Hence, we have;

x" + [tex]t_{\alpha /2, df[/tex]( S/√n ) = 14.3 + 2.0518( 2/√28 )

= 14.3 + 0.7755

= 15.0755     { Upper Limit }

Also,

x" - [tex]t_{\alpha /2, df[/tex]( S/√n ) = 14.3 - 2.0518( 2/√28 )

= 14.3 - 0.7755

= 13.5245    { Lower Limit }

Therefore, at 95% confidence interval, the true mean is ( 13.5245 < μ < 15.0755 )

b)

If a manager wants to be sure that the employees are not late, then he/she should consider the upper bound of the confidence interval as the permissible distance range.

Now given that the average speed were 30 miles per hour

suggested time will be;

t = Upper limit / speed

t = 15.0755 / 30

t = 0.50 hours or 30 minutes

Therefore, the time allowed will be  0.50 hours or 30 minutes

Step-by-step explanation:

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:

Perimeter of Rectangle = 2 × Length + 2 × Breadth

The perimeter can be represented using a model as below.

Perimeter = Length + Breadth + Length + Breadth

= 2 × Length + 2 × Breadth

Length + Breadth = Perimeter ÷ 2

Answer:

ans:

Match the metric measurement on the left with an equivalent unit of measurement on the right are as follows;

0.3 hectoliter       3 deciliters

0.03 liters             30 milliliters

30 centimeter     3 Deciliters

3000 Milliliters    0.3 Decaliters

A standard unit of measurement is a quantifiable language that describes the magnitude of the quantity.

Match the metric measurement on the left with an equivalent unit of measurement on the right is determined in the following steps given below.

1. 0.3 hectoliter = 0.3 × 10 = 3 deciliters

2. 0.03 liters = 0.03 × 1000 = 30 mililiters

3. 3 Centiliters = 0.3 Deciliters then 30 centimeter = 3 Deciliters

4. 3000 Milliliters = 0.3 Decaliters

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Answer:

x+59 =180( sum of linear pair )

x=180-59

x=121

Answer:

5.5

Step-by-step explanation:

[tex] \frac{1}{6 - d} = \frac{1}{d - 5} \\ \\ \therefore \: 6 - d = d - 5 \\ \\ 6 + 5 = d + d \\ \\ 11 = 2d \\ \\ d = \frac{11}{2} \\ \\ d = 5.5[/tex]

Answer:

in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:

(x, y), where x is the input and y is the output.

In this case, the point where the arrow starts is the input, and where the arrow ends is the output.

a)

The ordered pairs are:

(28, 93)

(17, 126)

(52, 187)

(34, 108)

(34, 187)

b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:

{17, 28, 34, 52}

And the range is the set of the outputs, in this case the range is:

{93, 108, 126, 187}

c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.

In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.

d) We can remove one of the two ordered pairs where the input is {34},

So for example, we could remove:

(34, 108)

And then the relation would be a function.

si 8888888888888888888888888888

Answer:

-3

Step-by-step explanation:

in these equations the slope is multiplied by x which is -3 in this one.

Answer:

[tex]-3[/tex]

Step-by-step explanation:

The equation of a line is [tex]y=mx+b[/tex], and m is the gradient which is the slope. Hence, the number with x is the slope, which is [tex]-3[/tex].

Hope that helped.

Answer:

Step-by-step explanation:

72/8 = 9 acres per day

Answer:

a

Step-by-step explanation:

Answer:

Ok ☺️✌️✌️✌️Ok ok ok ok

Answer:

250

Step-by-step explanation:

Density = mass / volume

density = 0.5 g / mL

mass = 125 g

0.5 = 125 / V                 Multiply both sides by V

0.5 * V = 125                 Divide by 0.5

0.5V 0.5 = 125/0.5

V = 250

When doing these kinds of ratios make sure that you get the numbers all on one side before you actually do the division or multiplication. That way you won't get confused.

Answer: [tex]14\ ft[/tex]

Step-by-step explanation:

Given

Length of rectangle is [tex]6\ ft[/tex]

Perimeter must be greater than 40 ft

Suppose l and w be the length and width of the rectangle

[tex]\Rightarrow \text{Perimeter P=}2(l+w)\\\Rightarrow P\geq 40\\\Rightarrow 2(l+w)\geq40\\\Rightarrow l+w\geq20\\\Rightarrow w\geq20-6\\\Rightarrow w\geq14\ ft[/tex]

So, the smallest width can be [tex]14\ ft[/tex]

Answer:

ITS C. (0, 3)

Step-by-step explanation:

I JUST ASKED THE TEACHER ;)

Answer:

17

Step-by-step explanation:

Properties used:-

All sides of rhombus are equal therefore in the triangles

EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL

then we use alternate interior angles

Then we get,

3x-11=x+23

2x=34

x=17