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Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

[tex]p = MN + NP + PQ + QR + RM[/tex] (1)

[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)

If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:

[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]

[tex]p = 22[/tex]

The pentagon MNPQR has a perimeter of 22 units.

The pentagon MNPQR has a perimeter of 22 units.

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)

p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=

MN

∙

MN

+

NP

∙

NP

+

PQ

∙

PQ

+

QR

∙

QR

+

RM

∙

RM

(1b)

If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:

p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=

(5−2)

2

+(8−4)

2

+

(8−5)

2

+(4−8)

2

+

(8−8)

2

+(1−4)

2

+

(2−8)

2

+(1−1)

2

+

(2−2)

2

+(4−1)

2

p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=

3

2

+4

2

+

3

2

+(−4)

2

+

0

2

+(−3)

2

+

(−6)

2

+0

2

+

0

2

+3

2

p = 22p=22

The pentagon MNPQR has a perimeter of 22 units.

Answer:

Step-by-step explanation:

Price per pound of the walnuts = $ 6.50

Price of 4 pounds of the walnuts = 4 *6.50 = $ 26

Amount needs to be paid = Price of 4 pounds of walnut - coupon amount

             = 26 - 3.75

              = $ 22.25

Expression:

Cost to buy p pounds of walnuts = p * 6.50 = 6.5p

Cost to buy p pounds of walnuts, assuming at least one pound is purchased =  6.50 + 6.5p

Answer:

The correct future tense would be sabrán, which basically means they will know in English.

Step-by-step explanation:

Since the question states "Ellos" (they) as in a group of people, sabrán would be the right one.

These words (in order) basically roughly mean

I will know

You will know

We will know

THEY will know

Answer:

D. sabrán

Step-by-step explanation:

Please click the heart if this helped.

QRN= 65º

hope this helps!!

Answer:

(-12, -12)

Step-by-step explanation:

Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.

-4×3=-12

Hope this helps!!

Answer: 15

Step-by-step explanation:

Answer:

96million

Step-by-step explanation:

48/6=8

12 000 000 * 8 = 96 000 000

=96 million

Answer:

96 million

Step-by-step explanation:

48/6= 8

8*12 million = 96 million

137

Step-by-step explanation:

43+ z=180

z=180-43

= 137

Answer:

137°

Step-by-step explanation:

Subtract 43 from 180

180 is the degree of a straight line

Angles y and 43 degree angle are equal so to find z you subtract the 43 from 180

180 - 43 = 137

Answer:

m = -20

Step-by-step explanation:

first distribute:

-4(m + 18) = 8

-4m - 72 = 8

Now add 72 to both sides to get m by itself

-4m = 80

and divide by -4 on both sides

m = -20

Hope this helped! :)

Answer: m = -20

Step-by-step explanation:

−4(m + 18) = 8

Step 1: Simplify both sides of the equation.

−4(m + 18) = 8

(−4)(m) + (−4)(18) = 8 (Distribute)

−4m + −72 = 8

−4m − 72 = 8

Step 2: Add 72 to both sides.

−4m − 72 + 72 = 8 + 72

−4m = 80

Step 3: Divide both sides by -4.

−4m / − 4 = 80 / −4

m = −20

Answer:

I got great news for you! I have a wonderful grade in math...

Anyway the answer is 6,318

Step-by-step explanation:

Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).

as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.

1,404+4,914=6,318

So now WALLA we have our answer.

Answer:

F

Step-by-step explanation:

I'm guessing wjdhksdjene

Answer:

J

Step-by-step explanation:

The answer is option J

Answer:

welllllllll thats is the confusion diagram

Answer:

36

Step-by-step explanation:

you add the first two the order of operations then you do big and little

Applying the angle of intersecting tangents theorem, m∠ABC = 99°

If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.

Given the following:

Apply the angle of intersecting tangents theorem:

m∠ABC = 1/2[m(AD) - m(AC)]

Substitute

4x + 15 = 1/2[(17x + 2) - (7x - 10)]

2(4x + 15) = 17x + 2 - 7x + 10

8x + 30 = 10x - 12

8x - 10x = -30 - 12

-2x = -42

x = -42/-2

x = 21

m∠ABC = (4x + 15)

Plug in the value of x

m∠ABC = 4(21) + 15 = 99°

Learn more about the angle of intersecting tangents theorem on:

https://brainly.com/question/9143293

Answer:

6

Step-by-step explanation:

Answer:

33.29

Step-by-step explanation:

A=πr^2

A=π2^2=12.57

12.57/2=6.29

7-4=3

3x2=6

6/2=3

4x6=24

6.29+3+24=33.29

Answer:

29 is the correct answer. Hope you like my answer.

Answer:

1.40×0.80=1.12 or 1.40/0.80=1.75

Answer:

16.5/100

Step-by-step explanation:

An equivalent fraction to 33/200 could be 66/400.

Answer:

yes

Step-by-step explanation:

Answer:

I attached both the work and explanation down below. Hope it helps!

Answer:

36

Step-by-step explanation:

7 + 7 + 11 + 11

Answer:

59.73 cm²

Step-by-step explanation:

[tex]2\pi r[/tex]

2 × π × 7

2 × 3.14 × 7

43.96 ÷ 4

10.99 cm²

11 cm - 7 cm = 4 cm

[tex]2\pi r[/tex]

2 × π × 4

2 × 3.14 × 4

25.12 ÷ 4

6.28 cm²

10.99 cm² + 6.28 cm² = 17.27 cm²

7 cm × 11 cm = 77 cm²

77 cm² - 17.27 cm²

59.73 cm²

Answer:

7x

Step-by-step explanation:

First find the common factors of the numbers: 49, 21.

That would be 1 and 7.

The GCF is 7 b/c it is greater than 1.

Find the common factors of x and x^2.

That is x times x

The factor for  x ^1  is  x  itself.

The common factor for the both of them is x.

The GCF is then x.

The multiply the both of the GCFs (x.7) and you now have 7x.

So the GCF is 7x.

The greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.

In this question, the greatest common factor of [tex]49\cdot x^{2}-21[/tex] is the greatest multiple applied on each term of the polynomial. First we notice that greatest common factor may be entirely constant. Then, we proceed to calculate each constant by factor decomposition:

[tex]49 = 7^{2}[/tex], [tex]21 = 3\times 7[/tex]

Hence, we conclude that greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.

We kindly invite you to check question on greatest common factor: https://brainly.com/question/11221202

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

Learn more about the normal distribution here

https://brainly.com/question/12707049

#SPJ2

Given:

The polynomials are:

[tex]3x^2y^2-2xy^5[/tex]

[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]

To find:

The completely simplified sum of the polynomials.

Solution:

We have,

[tex]3x^2y^2-2xy^5[/tex]

[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]

The sum of given polynomials is:

[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]

[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]

Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.

Answer:

1/3 chance

Step-by-step explanation:

2,3, and 5 are prime

1 is NOT a prime number

Answer:

The answer is

[ X ][  Y ]

[ 1  ][   7 ]

[ 2 ][   9 ]

[ 5 ][  15 ]

[ 7  ][  19 ]

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