What is the tangent ratio of angle y?

Answer:

C

Step-by-step explanation:

The lines that are parallel in the image given are: Lines e and f are parallel because their alternate exterior angles are congruent.

When a transversal intersects two parallel lines, the alternate exterior angles that are formed are congruent to each other.

Conversely, if the alternate exterior angles formed are congruent, then both lines that are cut by a transversal are parallel.

Therefore, the lines that are parallel in the image given are: Lines e and f are parallel because their alternate exterior angles are congruent.

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Answer:

B

Step-by-step explanation:

1/2 y +x, well, no one reads these so...The Answer is B

Answer:

The factors are (x+9),(x−9).

Step-by-step explanation:

Translating a sentence into a multi-step equation gives : 9 + (c/3) = 6.

1. Identify the unknown number and assign a variable to it.

In this case, the unknown number is represented by the variable c.

2. Translate the sentence into an equation.

The sentence states "Nine more than the quotient of a number and 3 is equal to 6." We can break this down into two parts. First, we have the quotient of a number and 3, which can be represented as c/3. Then, we add nine more to this quotient, resulting in 9 + (c/3). Finally, we set this expression equal to 6.

3. Justify the equation.

The equation 9 + (c/3) = 6 translates the sentence accurately. It states that when we divide a number (represented by c) by 3 and add 9 to the quotient, the result is 6. By solving this equation, we can find the value of c that satisfies the given condition.

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Step-by-step explanation:

1,

It is found that m divided by n is equal  to 8/7.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  a/ b = a divided in b equal parts.

If n divided by m equals 7/8, then m divided by n equal.

n / m = 7/8

Then m/n = 8/7

Therefore,  m divided by n is equal  to 8/7.

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Answer: To find the circumference of a circle, use the formula, 2(3.14)(r) (r is the radius, and if it gives the diameter, divide the diameter by 2 [to get the radius]). To find the actual circumference of the circle, multiply 2 and 3.14, becoming 6.28. Then, multiply 6.28 by whatever the radius is. Hope you find this useful!

Note: I am going based on no given picture and measurements of the circle, the other person that answered is, also, correct, and you could multiply the first two numbers (and then multiply the other number by the answer you received) OR multiply the first number, being 2, by the radius (and multiply that answer by the number of 3.14). For an example, the radius=10 units. You could either do 2x10=20, then 20x3.14=62.8 units^2 or multiply 3.14x2=6.28 units, then multiply 6.28 by 10, which is 62.8 units^2.

Answer:

see explanation

Step-by-step explanation:

using the identity

tan²x = sec²x - 1

consider the left side

(tanx + secx)² ← expand using FOIL

= tan²x + 2tanxsecx + sec²x

= sec²x - 1 + 2tanxsecx + sec²x ← collect like terms

= 2sec²x + 2tanxsecx - 1

= right side , thus proven

Answer:

the answer is 28.75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the probability that none of the selected subjects left the treatment center against medical advice, we need to know the total number of subjects transported by helicopter and the number of subjects who left against medical advice.

Let's assume the total number of subjects transported by helicopter is 'N' and the number of subjects who left against medical advice is 'A'.

The probability that none of the selected subjects left against medical advice can be calculated using the hypergeometric probability formula:

P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)

Where:

C(n, r) represents the number of combinations of selecting 'r' items from a set of 'n' items.

In this case, since we want to calculate the probability of selecting none of the subjects who left against medical advice, we set X = 0.

Substituting the values, we have:

P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)

Simplifying further:

P(X = 0) = (C(0, 0) * C(N - A, n)) / C(N, n)

Since C(0, 0) = 1 (by convention), the formula becomes:

P(X = 0) = (1 * C(N - A, n)) / C(N, n)

Now, you need to provide the values of 'N', 'A', and 'n' in order to calculate the probability.

The vertex form of a quadratic equation is y = a(x-h)^2 + k, where (h,k) is the vertex.

To write the vertex form of a quadratic equation given the vertex (-4, 5) and a-value of 5, you can use the vertex form equation:

y = a(x - h)² + k

where (h, k) is the vertex and a is the a-value.

In this case, h = -4, k = 5, and a = 5. Substitute these values into the equation:

y = 5(x - (-4))² + 5

Simplify the equation:

y = 5(x + 4)² + 5

So, the vertex form of the quadratic equation is:

y = 5(x + 4)² + 5

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The vertex form of the quadratic equation is: y = 5\((x + 4 )^2\) + 5

A quadratic equation's vertex form is provided by:

y = a\((x - h)^2\) + k

where "a" is the coefficient of the parabola and "(h, k)" is its vertex \(x^2.\)

Given that the vertex is (-4, 5) and a-value is 5, we can substitute the values into the vertex form equation:

h = -4

k = 5

a = 5

When we enter these numbers into the equation, we obtain:

y = 5(x -\((-4) ^2\) + 5

Simplifying the equation, we get:

y = 5\((x + 4)^2\) + 5

So, the vertex form of the quadratic equation is:

y = 5\((x + 4 )^2\) + 5

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Answer:

A Benjamin Franklin

B George Washington

C Abraham Lincoln

D John Adams

Answer:

im not good with math sorry :(

Step-by-step explanation:

Using the formula of simple interest, the interest on Rs 2200 for 6 years at the same rate of interest is Rs 462.

In the given question,

The given principal amount = Rs 3000

The given time = 5 years

Interest amount = 525

Now finding the rate of interest.

As we know that the formula of simple interest.

I = P*R*T/100

525 = 3000*R*5/100

Multiply by 100 on both side we get

52500 = 15000*R

Divide by 15000 on both side

R = 52500/15000

R = 3.5

In the question we have to find the interest on Rs 2200 for 6 years at the same rate of interest.​

To find the interest put the value in I = P*R*T/100

As given P=2200, R=3.5%, T=6 years

I = P*R*T/100

I = 2200*3.5*6/100

I = 462

Hence, the interest on Rs 2200 for 6 years at the same rate of interest is Rs 462.

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Answer:

unlimited solutions (all real numbers)

Step-by-step explanation:

3x + 21 = 3(x +7)

3x + 21 = 3x + 21

Answer:

WOW SPORTS

Step-by-step explanation:

Answer:

0.4476

Step-by-step explanation:

To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.

a. Probability that X > 85:

To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.

First, let's calculate the z-score:

z = (X - μ) / σ

z = (85 - 100) / 10

z = -15 / 10

z = -1.5

Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.

Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).

b. Probability that X < 80:

Similarly, we'll calculate the z-score for X = 80:

z = (X - μ) / σ

z = (80 - 100) / 10

z = -20 / 10

z = -2

Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.

Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).

c. Probability that X < 90 or X > 130:

To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.

For X < 90:

z = (90 - 100) / 10

z = -10 / 10

z = -1

Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.

For X > 130:

z = (130 - 100) / 10

z = 30 / 10

z = 3

Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.

Since these events are mutually exclusive, we can add their probabilities:

P(X < 90 or X > 130) = P(X < 90) + P(X > 130)

P(X < 90 or X > 130) = 0.1587 + 0.0013

P(X < 90 or X > 130) = 0.1600

Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?

To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.

For the left tail:

z = invNorm(0.005)

z ≈ -2.576

For the right tail:

z = invNorm(0.995)

z ≈ 2.576

Now we can find the corresponding X-values:

X1 = μ + z1 * σ

X1 = 100 + (-2.576) * 10

X1 = 100 - 25.76

X1 ≈ 74.24

X2 = μ + z2 * σ

X2 = 100 + 2.576 * 10

X2 = 100 + 25.76

X2 ≈ 125.76

Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).

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The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Step-by-step explanation:

7a

x2 + 4x + ax + 4a

x2 + ax + 4x + 4a

x (x + a) + 4 (x + a)

:(x + 4)(x+a)

7d

x2+2x-ax-2a

x2-ax+2x-2a

x (x-a)+2 (x-a)

:(x+2)(x-a)

7h

x2-2bx-5x+10b

x2-5x-2bx+10b

x (x-5)-2b(x-5)

:(x-2b)(x-5)

Answer:

You have to take out the common terms :

Question A,

\( {x}^{2} + 4x + ax + 4a\)

\( = x(x + 4) + a(x + 4)\)

\( = (x + a)(x + 4)\)

Question D,

\( {x}^{2} + 2x - ax - 2a\)

\( = x(x + 2) - a(x + 2)\)

\( = (x - a)(x + 2)\)

Question H,

\( {x}^{2} - 2bx - 5x + 10b\)

\( = x(x - 2b) - 5(x - 2b)\)

\( = (x - 5)(x - 2b)\)

The margin of error at 95% confidence is approximately 2.16.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To find the margin of error at 95% confidence, we need to use the following formula:

Margin of error = z * (σ/√n)

where:

z = the z-score associated with the desired level of confidence (in this case, 95% confidence corresponds to a z-score of 1.96)

σ = the population standard deviation

n = the sample size

Given that the population variance is 441, the population standard deviation is the square root of 441, which is 21.

So, the margin of error is:

Margin of error = 1.96 * (21/√361)

= 1.96 * (21/19)

= 2.16 (rounded to two decimal places)

Therefore, the margin of error at 95% confidence is approximately 2.16.

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To find the surface area of a cone using a net, calculate the area of the base and the lateral surface area, then add them together.

To find the surface area of a cone, you need to calculate the area of the base and the lateral surface area. The base of a cone is a circle, so the area can be found using the formula \(A = \pi r^2\), where r is the radius. The lateral surface area can be calculated using the formula A = πrl, where r is the radius and l is the slant height.

To find the slant height, you can use the Pythagorean theorem: \(l^2 = r^2 + h^2\), where h is the height of the cone. Once you have the base area and the lateral surface area, add them together to find the total surface area of the cone. Round the answer to the nearest square centimeter.

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10 hours 55 minutes pm

Step-by-step explanation:

(10:55 pm)

Answer:

answer is 0.09 per minute

Step-by-step explanation:

edge 2021

Answer:

Given, the annual profit equation is f(n) = 65n - 0.04n².

When the number of pizzas sold, n = 300, the annual profit will be:

f(300) = 65(300) - 0.04(300)²

= 19500 - 0.04(90000)

= 19500 - 3600

= $15,900

Therefore, the annual profit if the pizza maker sells 300 pizzas is $15,900. Answer: D.

Step-by-step explanation:

Answer:

\(x=\sqrt[4]{3}-1\) or \(x=0.316\)

Step-by-step explanation:

To write this equation you would need to use this equation for growth.

Final amount=initial amount (1+growth rate)^time

We have the final amount, 15,000, the initial amount, 5,000, and the time, 4 years. Now we have to plug in the values. We can write the growth rate as x.

\(15,000=5000(1+x)^4\)

Now start by dividing both sides by 5000.

\(\frac{15000}{5000} =(1+x)^4\)

\(3=(1+x)^4\)

Now you can find the fourth root of both sides to get rid of the exponent.

\(\sqrt[4]{3} =1+x\)

Finally, subtract 1 from both sides.

\(x=\sqrt[4]{3}-1\)

And, if allowed, you can use a calculator to find the value in decimal form which would be:

\(x=0.316\)

Answer:

2,160 seconds

Step-by-step explanation:

Answer:

Oblique rectangular prism