Convert the following angle from degrees to radians. Express your answer in simplest form 345 ∘

The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°

A regular polygon is one that is two-dimensional and can be created at least three lines together.

Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.

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Answer:

54 yards²

Step-by-step explanation:

First, we can find the area of the figure as a whole.

6 x 11 = 66

Now we have to find the area of the smaller rectangle

3 x 4 = 12

Finally, we subtract the whole and the smaller rectangle

66 - 12 = 54

Answer:

  (x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in clockwise order. The corresponding vertices V'W'X' are in counterclockwise order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

  (x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

__

Additional comment

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This is the algebraic rule.

y=x2 + 5x + 10

y + 5x = x2 + 10 + 4x - 10

0 = x2-9x 0 = x2 - 9x + 20

Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.

Step-by-step explanation:

ans = 0.00369913687

hope it helps...!!!!

Answer: [tex]f^-1(1)=-1[/tex]

Step-by-step explanation:

From the graph given we can derive the function  [tex]f(x)[/tex]

[tex]f(x) = .5x + 1.5[/tex]

To solve  [tex]f^-1(1)[/tex] we need to find the inverse function of [tex]f(x)[/tex].

Inverse functions are functions that essentially "reverse" the mapping of the domain ([tex]x[/tex]) and range ([tex]y[/tex]) of the parent function.

To find the inverse function  [tex]f(x)[/tex] we need to solve for x in terms of y.

[tex]y = .5x + 1.5[/tex]

[tex]y - 1.5 = .5x[/tex]

[tex]\frac{y - 1.5}{.5} = \frac{.5x}{.5}[/tex]

[tex]x=2y-3[/tex]

from this, we can derive that

[tex]f(y)^-1=2y-3[/tex]

this can also be written as a function of x

[tex]f(x)^-1 = 2x-3[/tex]

both functions are identical.

take one of these functions and you can find that

[tex]f^-1(1) = 2(1) - 3[/tex]

[tex]f^-1(1) = -1[/tex]

Answer:

See the photo above

Step-by-step explanation:

Hope this helps and have a nice day

Answer:

need pictures of questions

Step-by-step explanation:

please

Answer:

35%

Step-by-step explanation:

Percent increase is (new number - old number) / old number

(162 - 120) / 120 = 42 / 120 = 0.35 = 35%

Answer:

Angle #1 is 45 degrees

Angle #2 is 60 degrees

Angle #3 is 75 degrees

Step-by-step explanation:

x- angle #1

y- angle #2

(180-x-y)- angle #3

3x=180-x

4x=180

x=45

180-x-y=y+15

y=60

180-60-45=

180-105= 75

Answer:

90 degree's

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

When are two angles complementary?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Two angles are complementary when they add up to [tex]\tt{90\textdegree}[/tex].

For example:-

Angles whose measures are 60º and 30º are complementary because they add up to 90º.

Now, supplementary angles add up to [tex]\tt{180\textdegree}[/tex].

For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.

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Answer:

[tex]709*68=48212[/tex]

ans = 48212

Step-by-step explanation:

I only know the answer for the second task

The given equation represents a function and inverse of the function exist if x ≥ 6.

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 function:

y = 2(x – 5)² – 6

Part A:

Using vertical line test, we can find the whether the graph is a function or not.

After drawing a graph for the given curve, and drawing a vertical line.

The vertical line touches only one point for the one input.

The given equation represents a function.

Part B:

Replace x → y and y → x

x = 2(y – 5)² – 6

2(y – 5)² = x + 6

[tex]\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5[/tex]

Plug x = 1 in the y:

y = 26

Plug  [tex]\rm y ^-^1[/tex] = 1 in inverse of a function:

x = 26

Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.

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Answer:

79

Step-by-step explanation:

Answer:

1600 / 1.1^10 = $616.87

Step-by-step explanation:

Im not so sure, but here

the value of the diamond ring 10 years ago was approximately $419.47

To find the value of the diamond ring 10 years ago, we need to calculate its original value before the annual appreciation.

Let's assume the original value of the ring 10 years ago was "x" dollars.

After 10 years, with an annual appreciation rate of 12%, the value of the ring became $1200.

The formula to calculate the future value (FV) of an investment with compound interest is:

FV = PV * (1 + r)ⁿ

where:

FV = future value

PV = present value (original value)

r = annual interest rate (as a decimal)

n = number of years

In this case, we have:

FV = $1200 (present value after 10 years)

r = 12% (0.12 as a decimal)

n = 10 years

Now, we can rearrange the formula to find the original value (PV):

PV = FV / (1 + r)ⁿ

PV = $1200 / (1 + 0.12)¹⁰

PV = $1200 / 2.85610019

PV ≈ $419.47

So, the value of the diamond ring 10 years ago was approximately $419 (rounded to the nearest dollar).

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Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

[tex]17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14[/tex]

Let he has n pencils

So

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}=12[/tex]

[tex]\\ \rm\hookrightarrow 6n=84[/tex]

[tex]\\ \rm\hookrightarrow n=14[/tex]

Answer:

should be 3^X = 7 and X = log7/log3

Step-by-step explanation:

Answer:

[tex]3^x = 7\\x = \frac{log7}{log3}[/tex]

Answer:

The common denominator is 8

Step-by-step explanation:

It depends on what you mean. The denominator is 8 in both of the fractions that is being added together

If the probability of success is 0.03. Then the expected value of the raffle will be 3.

Binomial distributions consist of n independent Bernoulli trials.

The expected value X will be given below.

E(X) = np

A raffle at a local fair has tickets for purchase for $10 each.

There are 100 total tickets in the raffle.

The tickets are shuffled, then 3 are selected to win a $100 prize.

Then the probability of success will be

p = 3/100

p = 0.03

Then the expected value of the raffle will be

n = 100

Then we have

E(X) = np

E(X) = 100 x 0.03

E(X) = 3

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A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year

Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.

Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.

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Answer: See below

Step-by-step explanation:

[tex]$$Find the possible rational roots using the rational root theorem:$$x^{3}+x^{2}-3 x+12=0$$Select the coefficient of the leading term and the constant term:$1 x^{3}+x^{2}-3 x+12=0$\\Find the positive divisors of 12 and 1: \\\\Divisors of $12: 1,2,3,4,6,12$\\Divisors of $1: 1$\\Divide each of the divisors of 12 by 1 :\\$\frac{1}{1}, \frac{2}{1}, \frac{3}{1}, \frac{4}{1}, \frac{6}{1}, \frac{12}{1}$2, \pm 3, \pm 4, \pm 6, \pm 12$$[/tex]

[tex]$$Because both positive and negative values are valid candidates, the possible rational roots of $x^{3}+x^{2}-3 x+12=0$ are:$$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12[/tex]

A credit card has to be paid in full on the due date. The correct option among all the options that are given in the question is the first option. The other choices are incorrect and can be easily neglected. The amount of money that the credit card company bills for a month has to be paid in full within the due date or additional fine would be added to the next bill.

Answer:

88.8

Step-by-step explanation:

Answer:

[tex] \frac{x - 2}{7} [/tex]

Step-by-step explanation:

[tex]f(x) = 7x + 2[/tex]

[tex]let \: \: f(x) = y[/tex]

[tex]7x + 2 = y[/tex]

[tex]7x = y - 2[/tex]

[tex]x = \frac{y - 2}{7} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]

[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]

Remember , inverse functions do the opposite things in the opposite order.

Here's what happened to x here :

We can easily find the inverse of any function by following these steps :

f(x)=7x+2

y=7x+2

        2. Now , switch y and x places :

x=7y+2

            3. Solve for y .

First , subtract 2 on both sides :

x-2=7y

Divide by 7 on both sides :

[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]

[tex]\tiny\text{hope\:helpful}[/tex]