Express cos K as a fraction in simplest terms

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Explanation:

To go from the first term to the second term, we add on some common difference d.

So,

B = A+d

B = (k+2)+d

4k-6 = k+2+d

4k-6-k-2 = d

d = 3k-8

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Similarly, to go from the second term to the third term, we also add on d

C = B+d

C = (4k-6)+d

C = (4k-6)+(3k-8)

C = 7k-14

3k-2 = 7k-14

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Let's solve for k

3k-2 = 7k-14

-2+14 = 7k-3k

12 = 4k

4k = 12

k = 12/4

k = 3  is the final answer

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If k = 3, then we have these three terms:

The arithmetic progression (AP) is 5, 6, 7. The common difference is d = 1.

Note how d = 3k-8 = 3(3)-8 = 1

Answer:

Step-by-step explanation:

4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4

1 + 8/8 + 3/2 + 3/4

1 + 1 + 12/8 + 6/8

2 + 18/8

2 + 2 1/4

= 4 1/4 pounds

Answer:

-3

Step-by-step explanation:

the question really doesnt make sense

Answer:

C + 1 < 3 is not equivalent.

Step-by-step explanation:

B - 1 < 2 ⇒ B < 3

C + 1 < 3 ⇒ C < 2

D - 2 < 1 ⇒ D < 3

Therefore, all inequalities are equivalent except C + 1 < 3.

The domain and the range of its inverse function, h^-1( x) are x < 4 and y < 5

The domain and the range of the function are:

x < 5 and y < 4

When the function is inverted, the domain becomes the range and vice versa.

This means that the domain and the range of its inverse function, h^-1( x) are x < 4 and y < 5

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Answer:

A. 4

Step-by-step explanation:

364/89 = 4.089

4.089 estimated to 4

Answer:

The value of 1/6 is less than the value of4\5.

So, the answer is < .

Choose the symbol that correctly compares the fractions below.

[tex]{ \bf{ \underbrace{Answer}}}[/tex]

Step-by-step explanation:-

[tex] \frac{1}{6} < \frac{4}{5} \\ 0.1667 \: < \: 0.8[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

change your pfp and ill give u the answer

Step-by-step explanation:

Answer:

x = 17.5 degrees

Step-by-step explanation:

So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.

2x+10 = 45

Move over the 10

2x = 35

Divide by 2

x = 17.5 degrees

That's all.

Answer:

parallel

Step-by-step explanation:

If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

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Explanation:

This is due to the converse of the corresponding angles theorem.

Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.

The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.

Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.

Check out the image below to see an example of what I mean.

forty two lakh seventy eight thousand two hundred and six

Answer:

69/11

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−3+2x−7+5x−1=58

4x+−3+2x+−7+5x+−1=58

(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)

11x+−11=58

11x−11=58

Step 2: Add 11 to both sides.

11x−11+11=58+11

11x=69

Step 3: Divide both sides by 11.

11x /11  = 69/11

Answer:

x = 69/11

Step-by-step explanation:

4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓

11x - 3 - 7 - 1 = 58

11x - 11 = 58 move the constant to the right-hand side and change its sign ↓

11x = 58 + 11 add the numbers ↓

11x = 69 then divide both sides of the equation by 11 ↓

x = 69/11 ;)

Answer:

n - m is positive

Step-by-step explanation:

Given

m and n on number line

Required

Which is true

From the attachment, we have:

[tex]n >m[/tex]

[tex]n > 0[/tex] and [tex]m < 0[/tex]

[tex](a):\ n - m[/tex]

Since: the above inequalities are true, then:

[tex]n - m > 0[/tex]

(a) is true

There is no need to test other options; since (a) is true

Answer:

4/5

Step-by-step explanation:

1/2 ÷6=4/5

Answer:

P = 8 l

Step-by-step explanation:

Let's consider a rectangular field with dimensions:

We know that the width (w) is three times the length (l), that is,

w = 3 l   [1]

We can calculate the perimeter (P) of a rectangle using the following expression.

P = 2 l + 2 w   [2]

If we replace [1] in [2], we get,

P = 2 l + 2 (3 l)

P = 2 l + 6 l

P = 8 l

Answer:

A. True

Step-by-step explanation:

Even numbers are divisible by 2 with no remainder. 13/2 = 6.5 so yes.

Answer:

thanx for the reminder

Step-by-step explanation:

have a wonderful day :)

Answer:

B. 13

Step-by-step explanation:

I calculated it logically

Answer:

4

Step-by-step explanation:

2m−13=−8m+27

2m+8m=27+13

10m=40

m=40÷10

Therefore, m=4

Answer:

2m - 13 = -8m +27

2m + 8m = 27 + 13

10m = 40

m = 4

Answer:

always, feasible

Step-by-step explanation:

In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.

When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.

Answer:

The answer is 489

Answer:

four hundred eighty-nine

Step-by-step explanation:

I multiplied 3 quarters times 652

Answer:

X + (X + 2) = 52

Step-by-step explanation:

Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:

X + (X + 2) = 52

2X + 2 = 52

X = (52 - 2) / 2

X = 50/2

X = 25

X + 2 =?

25 + 2 = 27

Therefore, the consecutive odd integers are 25 and 27.

assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

[tex]y=A\sin\left(B(x-C)\right)[/tex]

Amplitude: [tex]|A|[/tex]

Period: [tex]\frac{2\pi}{B}[/tex]

Phase Shift:  C

In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]

Amplitude: 4

Period: [tex]\frac{2\pi}{2}=\pi[/tex]

Phase Shift: [tex]\frac{3\pi}{4}[/tex]

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

Answer:

15/2=7.5

7.5/100=0.075

0.075$ per cup.

-TheOneandOnly003

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

1045 ft³ of water

Step-by-step explanation:

Given :

Length = 20 feets

Width = 9 1/2 feets

Height = 5 1/2 feets

The maximum of water the pool can hold is equivalent to the volume of the pool ;

Hence, Volume = Length * width * height

Volume = 20 * 9 1/2 * 5 1/2

Volume = 1045 ft³ of water

Answer: B

Step-by-step explanation:

Good Luck!

Answer:

letter A

Step-by-step explanation:

This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.

Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5

So, 13.5+22.5=36, or letter A

Answer:

53°

Step-by-step explanation:

angle 1 = ½×( 50+56) = ½×106 = 53°

2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:

p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).

The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively

h(x) = 6 – x

h(10) = 6 - 10

= -4

If

p(x) = 2x² - 4x

q(x) = x - 3

(pºq)(x)

= (2x² - 4x) (x - 3) × 4

= 2x² - 16x + 18

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