AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 50º.

What is the measure of ∠DQM?

The sequence in this scenario is arithmetic, with the patient increasing their distance walked by 3 km each week. Using the formula for the nth term of an arithmetic sequence, the patient will walk a distance of 32 km during the 10th week.

The sequence in this case is arithmetic. This can be determined by observing that the difference between the distances walked each week is consistent. In this case, the difference is 3 km, as the patient increases their distance by 3 km each week.

To find out how far the patient will walk during the 10th week, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

Where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.

Given that the first term is 5 km, the common difference is 3 km, and we want to find the 10th term, we can substitute the values into the formula:

a10 = 5 + (10-1)3

a10 = 5 + 9 * 3

a10 = 5 + 27

a10 = 32

Therefore, the patient will walk a distance of 32 km during the 10th week.

Answer:

He will reach 0.02 hours before me.

Step-by-step explanation:

A we know that,

Speed = Distance ÷ Time

Here we have given that Distance = 50 km

My Speed is 90 km/h

So time taken to complete my trip = Distance ÷ Speed

⇒ My Time = 50 ÷ 90 = 0.55 hours

Also, Speed of my friend is 95 km/h

So time taken to him to complete his trip = Distance ÷ Speed

His Time = 50 ÷ 95 = 0.53 hours

Thus he will reached before me as his speed is fast

He will reach 0.55 - 0.53 = 0.02 hours before me.

Answer:

50&10...

Step-by-step explanation:

Answer:

I THINK A

Step-by-step explanation:

Answer:

C) 16 units

Step-by-step explanation:

The length of a leg of the pre-image is 16 units

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger. The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image. Dilation comes in two varieties:

Given:

Δ RST was dilated by a scale factor of 1/2

and,  Δ R'S'T' is an isosceles triangle with measurement 8 units.

As, Pre-image =  measure of pre-image x scale factor

So, the measure of pre-image = 8 ÷ 1/2

                                                   = 8 x 2/1

                                                   = 16 units.

Hence, the length of a leg of the pre-image is 16 units

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To prove the identity tan (pi/2-x) = cot x, we can use the identity tan(pi/2-x) = 1/tan x and simplify the expression.

To prove tan (pi/2-x) = cot x, we can use the identity tan(pi/2-x) = 1/tan x. First, rewrite tan(pi/2-x) as 1/tan x. Then, simplify 1/tan x to cot x using the definition of cot x = 1/tan x. Therefore, we have proven that tan (pi/2-x) = cot x.

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To prove tan(π/2 - x) = cot x, we use the co-function identity for tangent and cotangent, showing the relation of these functions in complementary angles. This identity confirms that tan(π/2 - x) equals cot x.

To prove the identity tan (π/2 - x) = cot x, we can use a fundamental trigonometric identity. Here's how:

Recall the co-function identity: tan (π/2 - x) = cot x. This identity is derived from the relationship between tangent and cotangent in complementary angles.

Using the identity tan (π/2 - x) = cot x, we know that the tangent of an angle's complement is equal to the cotangent of the angle.

By definition, tan θ (tangent) is the ratio of the opposite side to the adjacent side in a right triangle. For the complementary angle, the roles of the opposite and adjacent sides switch, which aligns with the definition of cot x (cotangent), i.e., the adjacent side over the opposite side.

This proves that tan (π/2 - x) = cot x.

Answer:

Correct Answer: Revolution

Step-by-step explanation:

Answer:

The answer is sqrt29

Step-by-step explanation:

If you are doing the same program as me, there will be other questions similar to this one. What is the length to AA', BB', and CC'. All of these share the same answer which is also sqrt29. We are almost finished with the semester, hang on!

The expression given to us is: x²+6x

Now, we know that the second term is twice the square root of the first and the last terms. Let us call the last term as [tex] y^2 [/tex]. Thus our given expression will become:

[tex] x^2+6x+y^2 [/tex].

Now, since the middle term is 6x and since we know that the second term is twice the square root of the first and the last terms, therefore,

[tex] 6x=2\times \sqrt{x^2} \times \sqrt{y^2} [/tex]

[tex] 6x=2\times x\times y [/tex]

[tex] \therefore y=3 [/tex] (By dividing both sides by 2x)

Therefore, the missing term is 3.

Answer:

Credit card B, because its effective interest rate is about 0.13% less than that of credit card A.

The deal of Credit card A is du to higher interest rate.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

Given

APR of credit card A = 25.68% compounded monthly

APR of credit card B = 25.32% compounded daily

other details are same

let principle be 100

time = 1 year

Amount for Credit card A = P[tex](1 + \frac{r}{n})^{n t}[/tex]

where r = rate, t = time, n = time frequency

A = 100[tex](1 + \frac{0.2568}{12})^{12*1 }[/tex]

A = 128.92

amount for credit card B

A = 100[tex](1 + \frac{0.2532}{360})^{360*1 }[/tex]

A = 128.78

Hence amount for both the APR is approx. same so Credit card A is better deal with more interest rate.

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Solution :

Given that, In triangle MKL, angle K is a right angle.

To find the value of tan M,

As we know by trigonometric ratio, that In a right angled triangle

[tex] tan (\theta)= \frac{opposite }{Adjacent} [/tex]

Here Opposite means opposite side of the angle and adjacent means side adjacent to the angle.

So, [tex] tan M= \frac{KL}{KM} = \frac{15}{8} [/tex]

Hence, Value of [tex] tan M = \frac{15}{8} [/tex] .

Option D is the correct solution.

The solution is: a can of tomatoes for 53 cents, is the best buy available.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

So, we have two options:

option 1: a can of tomatoes for 53 cents.

option 2: a can of tomatoes for 70 cents with a 20% discount.

First we have to determine the price of the 2nd option.

10 % of 70 cents is 7 cents

20 % of 70 cents is 14 cents.

So, we have 14 cents of discount, which makes the new price (70-14=) 56 cents.

Now our two options are either 53 or 56 cents.

Therefore option 1 is the best buy available.

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Option: B is the correct answer.

B) Traditionalism.

Beat generation was a literary movement that was started by a group of authors and  belongs to the post World War || period.

They started this movement to reject literary formalism and the American culture built on capitalism and materialism.

It has a major impact on both poetry as well as culture in America.

Hence, the Beat generation writers try to defeat in America is:

Traditionalism.

Answer:

Polynomial B

Step-by-step explanation:

We are given 4 different polynomial. We need to choose 4th degree polynomial from given.

Degree is maximum power of x of polynomial.

Option A: [tex]4-7x^5+x^2[/tex]

Degree = 5,  False

Number of term = 3 (Trinomial)

Option B: [tex]5x^3+5-3x^4[/tex]

Degree = 4

Number of term = 3 (Trinomial)

True

Option C: [tex]3x+2x^4+x^2+6[/tex]

Degree = 4

Number of term = 4 (Not Trinomial)

False

Option D: [tex]3x^3-5+2x^5[/tex]

Degree = 5

Number of term = 3 (Trinomial)

False

Hence, Polynomial B is correct whose degree 4 and number of term 3.

This answer details the use of the quadratic formula to solve quadratic equations and the discriminant's role in determining the number of real solutions.

The question involves solving quadratic equations and using the discriminant to determine the number of real solutions. The quadratic formula, \(x = \frac{-b \pm \sqrt[tex]{b^2[/tex] - 4ac}}{2a}\), is a powerful tool in finding the roots of any quadratic equation of the form \([tex]ax^2[/tex]+ bx + c = 0\). The discriminant, \(\Delta =[tex]b^2[/tex] - 4ac\), helps in understanding the nature of the roots without actually solving the equation. If \(\Delta > 0\), there are two distinct real solutions; if \(\Delta = 0\), there is exactly one real solution; and if \(\Delta < 0\), there are no real solutions and instead two complex solutions.