You will construct the incenter. You will need to construct the angle bisectors of

Answer:

Its D Dude!

Step-by-step explanation:

The foot of the ladder will slide by 8 feet.

The ladder will form a right angled triangle -

hypotenuse² = base² + perpendicular²

We have hypotenuse as 25 feet, base as 7 feet and we will find perpendicular.

P² = 25² - 7²

P² = 625 - 49

P² = 576

P = ✓576

P = 24 foot

After slipping, the perpendicular will decrease by 4 feet

New vertical height = 24 - 4

New vertical height = 20 feet

B² = 25² - 20²

B² = 625 - 400

B² = 225

B = ✓225

B = 15 foot

Slided distance = 15 - 7

Slided distance = 8 feet

Thus, ladder will be 15 foot away now and 8 feet away from older distance.

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Answer:

\(x = - 3\)

Step-by-step explanation:

\( - 2(3x - 2) + 2x = - 6x - 10\)

\( = > - 6x - 4 + 2x = - 6x - 10\)

\( = > - 4x - 4 = - 6x - 10\)

\( = > - (4x + 4) = - (6x + 10)\)

\( = > 4x + 4 = 6x + 10\)

Keeping all like terms in L.H.S ,

\( = > 6x - 4x = 4 - 10\)

\( = > 2x = - 6\)

\( = > x = \frac{ - 6}{2} = - 3\)

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

Step-by-step explanation:

Kaitlin: y = 60x + 750

y = 60(19) + 750

     1140 + 750 = $1890 total

Answer:

yesssssss!!!!!!!!!!!

factored form is equivalent to the expression is (x + y - z)(x - y + z).

we can use the difference of squares formula, which states that a2 - b2 = (a + b)(a - b). In this case, we have x2 - (y - z)2, which we can rewrite as x2 - (y - z)(y - z). Applying the difference of squares formula, we get (x + (y - z))(x - (y - z)), which simplifies to (x + y - z)(x - y + z).

the factored form equivalent to the expression x2 - (y - z)2 is (x + y - z)(x - y + z).

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Answer:

to find the perimeter, you would need to add, so I the answers would be 36 units.

Step-by-step explanation:

Answer:

7, 5

Step-by-step explanation:

if its a reflection over the y axis it goes into the all positive zone so it will become positive

Answer:

(-7,-5)

Step-by-step explanation:

A. In a case whereby Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $1000 worth of shoes  his commission is  $22.50

B. The percentage markup was  $30

C.In a case whereby  aTyler’s brother earns $14 per hour. The store offers him a raise—a 5% increase per hour the amount Tyler’s brother make per hour is 12.60

The concept that will be used here is commision and percentage.

A. Therefore, a commission is often a percentage of a sale. Suppose, for illustration, that I own a cookie company. I take you on as a seller and inform you that you will receive a 10% commission for each box you sell. Given that the box of cookies costs $5.00,

you would get $5.00 * (.10), or $0.50, for each successful box you sell. Therefore, if you sell 200 boxes in a week and earn $0.50 per box, your total commission would be $0.50 * 200 = $100!

Thus, Tyler's brother sold shoes valued a total of $900. In the event that he earns a 2.5% commission, his reward will be [ $900 * (0.025) ]= $22.50 for his work.

B. The Markup on the shoe =Amount sold - purchase price

Markup = [$80 - $50]

= $30

Percentage Markup is :$30/50  *100 =  60%

C. 5% of 12  can be calculated as 5/100*12=  0.60

[12 + 0.60 ]

= 12.60

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Answer:

(6/2)² = 3² = 9

6²/2² = 36/4 = 9

Answer:

9

Step-by-step explanation:

6/2 is 3

squaring three we get 3 to  the power of two or 3x3

3x3=9

3 squared is 9

The inverse function is the original function reflected over y=x option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a statement:

The graph of an inverse function compare to the original function:

As we know, every function with domain real numbers can be plotted on graph paper or a coordinate plane.

Let f(x) = ax + b

or

y =ax + b

a and b are the real numbers

To find the inverse of a function interchange the value of x and y

f⁻¹ = x = ay + b

If we plot the above two functions we will see that f(x) is the mirror image of f⁻¹ over the line y = x.

Thus, the inverse function is the original function reflected over y=x option (B) is correct.

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Let x be the number of units produced per hour, then:

Answer:

Answer:

8. -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a right-angled triangle, the tangent ratio of an acute angle = the ratio of the length of the opposite side to the length of the adjacent side.

Lets say angle A= 150 degrees (obtuse)

So, the tangent ratio of angle B= the ratio of the length of the opposite side to the length of the adjacent side.

So far we have:

and because angle A is obtuse, its tangent ratio is the negative of the tangent ratio of its corresponding acute angle.

Step-by-step explanation:

first of all

tan(x) = sin(x)/cos(x)

that is the tangent ratio.

so, the question is also, what happens to sine and cosine for obtuse angles.

remember the trigonometric triangle inside the circle.

sine is the up/down leg (up = positive, down = negative), cosine is the left/right leg (and extension of the leg; of left from the center = negative, if right from the center = positive).

so, for an obtuse angle (90° < angle <= 180°) sine is still up and therefore positive, but cosine is left from the center and therefore negative.

for that reason tan(angle) = sin(angle)/cos(angle) is negative.

in fact, it is -tan(180 - angle).

The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

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Answer:

Kings and hearts

Step-by-step explanation:

Two events are said to be mutually exclusive if they cannot occur at the same time:

The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.

1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.

2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.

3. The period of the cosine function is T = 30 minutes.

4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.

5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.

In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

A= 9/20 B= 45% C=0.45 d= 4.5% E= 3/8 F= 0.375 G= 37.5% H= 15.5% I = 0.8 j=80%

Answer:

Step-by-step explanation:

−4−(−7)=

The opposite of −7 is 7.

−4+7

Add −4 and 7 to get 3.

3

Answer:

3

Step-by-step explanation:

Think of -4-(-7) as -4+7

just remove the negative and add instead

your answer is 3

x ≈ 0.625.

To solve the exponential equation 3 + 4^(4x-3) + 6 = 11, we first need to isolate the exponential term.

Subtracting 3 and 6 from both sides, we get:

4^(4x-3) = 2

To solve for x, we can take the natural logarithm of both sides:

ln(4^(4x-3)) = ln(2)

Using the property of logarithms that ln(a^b) = b*ln(a), we can simplify the left side:

(4x-3)ln(4) = ln(2)

Dividing both sides by ln(4), we get:

4x-3 = ln(2)/ln(4)

Simplifying the right side using a calculator, we get:

4x-3 ≈ -0.5

Adding 3 to both sides, we get:

4x ≈ 2.5

Dividing by 4, we get:

x ≈ 0.625

Therefore, the exact solution with natural logarithms is:

x = (ln(2)/ln(4) + 3)/4

And the approximate solution correct to three decimal places is:

x ≈ 0.625

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Answer:

D

Step-by-step explanation:

7.50/10=0.75

0.75*6=4.5

So, you will get 6 batteries for $4.50 which of course is less than $4.95.

General equation of circle

So

here rearrange

\(\\ \rm\rightarrowtail (x-4)^2+(y+8)^2=4\)

\(\\ \rm\rightarrowtail (x-4)^2+(y-(-8))^2=2^2\)

Answer:

\(x^2+y^2-8x+16y+76=0\)

Step-by-step explanation:

General conic form equation of a circle:   \(x^2+y^2+ax+by+c=0\)

Given equation:

\((x-4)^2+(y+8)^2=4\)

Rewrite:

\((x-4)(x-4)+(y+8)(y+8)=4\)

Expand brackets:

\(x^2-4x-4x+16+y^2+8y+8y+64=4\)

Collect and combine like terms:

\(x^2-8x+y^2+16y+80=4\)

Subtract 4 from both sides:

\(x^2-8x+y^2+16y+76=0\)

Rearrange:

\(x^2+y^2-8x+16y+76=0\)

Answer:

(x-4)^2 + (y +1)^2=196

Step-by-step explanation:

hope this helps

(a) The probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches is 0.0625 (or 6.25%).

(b) The probability of Lukas Podolski scoring in either the World Cup quarter-final OR the semi-final match is 0.5 (or 50%).

What is Probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated.

a) To find the probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches, we multiply the probabilities of him scoring in each match since the events are independent.

Probability of scoring in the quarter-final match = 0.25 (or 25%)

Probability of scoring in the semi-final match = 0.25 (or 25%)

Probability of scoring in both matches = 0.25 * 0.25 = 0.0625

Therefore, the probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches is 0.0625 (or 6.25%).

b) To find the probability of Lukas Podolski scoring in either the quarter-final OR the semi-final match, we can use the principle of addition. Since the events are mutually exclusive (he can't score in both matches simultaneously), we can simply add the probabilities of scoring in each match.

Probability of scoring in the quarter-final match = 0.25 (or 25%)

Probability of scoring in the semi-final match = 0.25 (or 25%)

Probability of scoring in either match = 0.25 + 0.25 = 0.5

Therefore, the probability of Lukas Podolski scoring in either the World Cup quarter-final OR the semi-final match is 0.5 (or 50%).

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The correct statement is "A translation \(5\) units to the right, followed by a \(180\)-degree counterclockwise rotation about the origin"

\(A=(-4,-1), B=(-3,-1), C=(-4,-4)\)

\(A'=(-1,1), B'=(-2,1), C'=(-1,1)\)

Option A:  

\(A=(-4,-1)\)

Translate \(5\) units up, we get \((-4,-1+5)=(-4,4)\).

When rotating a point \(270\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(y,-x)\).

So, \(270\)-degree counterclockwise rotation about the origin will give \((4,4)\).

This is not equal to \((-1,1)\).

So, this option is incorrect.

Option B:  

\(A=(-4,-1)\)

When rotating a point \(270\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(y,-x)\).

So, \(270\)-degree counterclockwise rotation about the origin will give \((-1,4)\).

Now, translating \(5\) units up, we get \((-1,4+5)=(-1,9)\)

This is not equal to \((-1,1)\).

So, this option is incorrect.

Option C:  

\(A=(-4,-1)\)

When rotating a point \(180\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(-x,-y).\)

So, \(180\)-degree counterclockwise rotation about the origin will give \((4,1)\).

Now, translating \(5\) units right, we get \((4+5,1)=(9,1)\)

This is not equal to \((-1,1)\).

So, this option is incorrect.

Option D:  

\(A=(-4,-1)\)

Translate \(5\) units right, we get \((-4+5,-1)=(1,-1).\)

When rotating a point \(180\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(-x,-y).\)

So, \(180\)-degree counterclockwise rotation about the origin will give \((-1,1)\).

This is equal to \((-1,1)\).

So, this option is correct.

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Answer:

81 numbers

Step-by-step explanation: