Can a regular polygon have an interior angles of 169?​

[tex]\huge{\mathbb{\tt{QUESTION↓}}}[/tex]

1. in how many ways can you arrange five mathematics books,four science books,and three english books, on a shelf such as that books of the same subject are kept together.

[tex]\huge{\mathbb{\tt{SOLUTION↓}}}[/tex]

[tex]\textsf{ Given that: M=5 , S=4 , E=3}[/tex]

[tex]\begin{gathered}\\\end{gathered} [/tex]

[tex]\textsf{ Using the Linear Permutation:} [/tex]

[tex]\sf{P=n!}P=n![/tex]

[tex]\sf{P=5!}P=5![/tex]

[tex]\sf{P=5×4×3×2×1}[/tex]

[tex]\sf{P=120}[/tex]

[tex]\begin{gathered}\\\end{gathered}[/tex]

P=n!}

P=4!

P=4×3×2×1

P=24

P=n!

P=3!

P=3×2×1

P=6

Multiply all the permutations:

P=120×24×6

P=17,280

[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]

There are 17,280 ways we can arrange in a shelf.

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#LetsEnjoyTheSummer

Answer:

X = 3.01

Step-by-step explanation:

To solve for x, you first need to get x by itself. So you would minus 19.95 from both sides. Which would then be

5x = 15.05

Again x is not by itself so you would divide both sides by 5, the eqation would then be

x = 3.01

Which is the answer. If you want you can double check your work by putting the answer back in the eqaution.

5(3.01) + 19.95 = 35

If the statement is true that means you have the right answer

15.05 + 19.95 = 35

35 = 35

We are correct! Hope this helps with your question and how to do others like it.

Answer:

Step-by-step explanation:

Step-by-step explanation:

➡(5x-2)(5x+2)=12

➡5x^2-(2)^2=12

➡25x^2-4=12[/tex]

➡25x^2=12+4=16

Step-by-step explanation:

[tex] \rm \mapsto \: (5x - 2)(5x + 2) = 12 \\ \rm \mapsto \: 5x(5x + 2) - 2(5x + 2)=12 \\ \rm \mapsto \: {25x}^{2} + 10x - 10x - 4 =12\\ \rm \mapsto \: {25x}^{2} - 4=12 \\ \rm \mapsto \:25x^2=12+4 \\ \rm \mapsto \: 25x^2=16[/tex]

Answer:

(-6,-5)

Step-by-step explanation:

X+y=-11

solve for x

x=-11-y

substiute x value into 2nd equation

2x-3y=3

2(-11-y)-3y=3

-22-2y-3y=3

-5y=25

y=-5

substitute -5 for y in either equation to find x

x+y=-11

x+-5=-11

x=-6

Answer:

Step-by-step explanation:

mean: equal for both data sets

median: Greater for data set A

Range: Greater for data set B

1. 5a - 8b + 7b + 3a

→ 5a + 3a - 8b + 7b

→ 8a - b ★

2. -5a + 8b - 7b - 3a

→ -5a - 3a + 8b - 7b

→ -8a + b ★

3. 5a + 8b - 7b + 3a

→ 5a + 3a + 8b - 7b

→ 8a + b ★

4. -5a - 8b + 7b - 3a

→ -5a - 3a - 8b + 7b

→ - 8a - b ★

Final answers ;

[tex] \boxed {\sf { 5a - 8b + 7b + 3a = 8a - b } } [/tex]

[tex] \boxed {\sf { -5a + 8b - 7b - 3a = -8a + b } } [/tex]

[tex] \boxed {\sf {5a + 8b - 7b + 3a = 8a + b } } [/tex]

[tex] \boxed {\sf {-5a - 8b + 7b - 3a = - 8a - b} } [/tex]

5a – 8b + 7b + 3a

5a – 8b + 7b + 3a

= 5a + 3a – 8b + 7b

= 8a – b ( Answer )

________________________________________________

–5a + 8b – 7b – 3a

–5a + 8b – 7b – 3a

= –5a – 3a + 8b – 7b

= –8a + b ( Answer )

________________________________________________

5a + 8b – 7b + 3a

5a + 8b – 7b + 3a

= 5a + 3a + 8b – 7b

= 8a + b ( Answer )

________________________________________________

–5a – 8b + 7b – 3a

–5a – 8b + 7b – 3a

= –5a – 3a – 8b + 7b

= –8a – b ( Answer )

________________________________________________

Answer:

It's A

Step-by-step explanation:

Got it right on the practice :)

Based on the data presented , the answer is that Yes, it show repeated and periodic behavior. and thus the data indicate that a sine regression is appropriate in this case.

This occurs as our Moon is said to orbits around Earth. the side of the moon that is facing the Sun is said to be illuminated due to the sun's brightness, just like when the Earth's daylight side is also said to be illuminated by the Sun.

We tend to have a “new Moon” only when our Moon is said to orbit  around the Earth and thus moves it between Earth and the Sun.

See options below

Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case?

a. Yes, it shows repeated and periodic behavior.

b. Yes, it shows a curve increasing from left to right.

c. No, the points are random.

d. No, the points depict a parabola.

Learn more about phases of the moon from

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Answer:

B

14

I think it is right :D

Step-by-step explanation:

Answer: B, 14

Step-by-step explanation:

The median is the number in the middle of the set if the numbers are in order.

And if there is an odd amount of numbers.

The number in the middle of the list is 14.

If the list doesn't have an odd amount of number you add the 2 middle ones and take the average so divide by 2.

Answer:

21

Step-by-step explanation:

Write the problem as a mathematical expression.

140% ⋅15

Convert  140 %  to a decimal.

1.4 ⋅15

Multiply 1.4 by 15.

21

Hope that helps!

Answer:

Hello There!!

Step-by-step explanation:

I think the answer is possibly (b) equal molecules of each .

hope this helps,have a great day!!

~Pinky~

Commutative property!!!!!

Answer:

20 or 18

Step-by-step explanation:

The value of x is 10.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

From the triangle it can be assume that ΔPSR is similar to ΔPQR.

Then, the ratio of corresponding sides of triangles are proportion.

So, PQ/ PS = QR/ RS

9/15 = 6 /x

9x = 90

x= 90/9

x= 10

Thus, the value of x is 10.

Learn more about proportion here:

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9514 1404 393

Answer:

  ∠CBE = 59°

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

  ∠BCD +∠CDE = 180°

  ∠BCD +∠CDB +∠BDE = 180°

  (21x -5) +34 +(4x+1) = 180

  25x +30 = 180

  25x = 150

  x = 6

∠CBE = ∠CDE = 34 +(4x +1) = 4x +35 = 4(6) +35

∠CBE = 59°

Answer:

12,-15

Step-by-step explanation:

Answer:

Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].

Step-by-step explanation:

Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

Answer:

A= 648 :)

Step-by-step explanation:

Answer:

3/5 = 6/10 (multiplicando x2)

Step-by-step explanation:

Answer:

[tex]\frac{6}{10} \frac{9}{15 }[/tex] [tex]\frac{12}{20}[/tex]

Answer:The question is a little incorrect, the ice sheet thickness should be 2m and not 222m.

The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

⇒ S(t) = 2 - 0.25 t

Which is the required function's formula.

Answer:

2 units ^2

Step-by-step explanation:

A = 1/2 (2) (2)

A = 4/2 = 2

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the total surface area of the

following square pyramid:

6 cm

8 cm

SA = [?] cm2

Answer:

Step-by-step explanation:

Answer:

160

Answer:

Step-by-step explanation:

Both sides of the equation are exactly same.

It means regardless the value of x the equation is true.

The equation has infinitely many solutions.

As both sides are equal

There present infinite number of solutions

Answer:

Jimmy ran 12 miles last week.

Step-by-step explanation:

32-20=12

The volume of a trapezoidal prism is 471.5 m³.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know volume of a trapezoidal prism is [(1/2)×(b₁+b₂)×h}×H.

Therefore, The volume of this trapezoid is,

= (1/2)×(24 + 19)×21 m³.

= (1/2)×(43)×21 m³.

= 471.5 m³.

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