What is the circumference in centimeters, of the circle?
Use 3.14 for TT

In a trapezoid, the segment at the midpoint is the average of the other two bases.

In other words: YZ = (QR + TS) / 2

5x + 1 = ( (2x + 7) + 19 ) / 2

2(5x + 1) = 2x + 26

10x + 2 = 2x + 26

8x = 24

x = 3

YZ = 5x + 1

YZ = 5(3) + 1

YZ = 15 + 1

YZ = 16

Hope this helps!

It's 3ft

Step-by-step explanation:

Volume = lxwxh

252 = 7 x 12 x?

= 84 x?

÷84

3. =?

3x12x7=252

Hope this helps!

Answer:

81 [ft].

Step-by-step explanation:

1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;

2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:

[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]

3) if g=32, t=9/4, then the required height is:

[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]

The height of the building comes to be 81 feet.

Initial velocity u= 0 feet/sec

Final velocity v= 72 feet/sec

The acceleration due to gravity g =32ft /sec²

Height of the building h= suppose h

The equation of a motion is:

[tex]v^{2} =u^{2} +2gh[/tex]

Where u and v are the initial and final velocities.

[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]

So, the height of the building = 81 feet.

Therefore, the height of the building comes to be 81 feet.

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Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]

[tex]=\frac{4}{5} -\frac{7}{15}[/tex]

[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]

Simplified:

[tex]=\frac{1}{3}[/tex]

Hope this helps

Answer:

2490

Step-by-step explanation:

Individually find the area of each side of the shape then add all values

Answer:

25(p+25q)

Step-by-step explanation:

50 and 25 have 25 in common so you divide that out of the equation

Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.

Answer:

12, 60

Step-by-step explanation:

To solve this question, we can use a system of equations

1) x + y = 76

2) y - 3x = 12

Then, we can use the second equation to isolate y and substitute it into the second equation

y = 3x + 12

x + (3x + 12) = 76

4x + 12 = 76

4x = 64

x = 16, y = 60

Answer:

6

Step-by-step explanation:

based in

Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.

Answer:

65%

Step-by-step explanation:

We need to divide to solve this :)

13/20 = 0.65

Now we multiply :)

0.65 x 100 = 65%

Have an amazing day!!

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Answer:

D. 65%

Step-by-step explanation:

the Number of red marbles is 13

The total number of marbles is 13 + 7 = 20

Then

the percentage of red marbles is :

[tex]\frac{13}{20} \times 100[/tex]

[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]

Based on the information provided about the return trip, the train's speed on its trip south was 6.36 miles per hour.

Learn more about speed in: https://brainly.com/question/6280317

Step-by-step explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]

we need to find the square root of 18.75 to find the height of the triangle which is

[tex] \sqrt{18.75} = 4.330127019[/tex]

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702

Answer:

2/9ths

Step-by-step explanation:

7/9 - 5/9 = 2/9

Hope this helps <3

The required length of the rectangle is 12/5 feet and the width is 9/5 feet.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's denote the length of the rectangle as L and the width as W.

From the problem statement, we know that:

3L = 4W (equation 1)

We also know that the perimeter P is given by:

P = 2L + 2W = 8 2/5 feet

Multiplying both sides by 5 to get rid of the fraction, we get:

10L + 10W = 42

Dividing by 2, we get:

5L + 5W = 21 (equation 2)

Now we can use equations 1 and 2 to solve for L and W.

First, we can substitute equation 1 into equation 2 to get an equation in terms of W:

5L + 15L/4 = 21

Multiplying both sides by 4, we get:

20L + 15L = 84

35L = 84

L = 84/35 = 12/5 feet

Now we can substitute the value of L into equation 1 to get the value of W:

3L = 4W

3(12/5) = 4W

W = 9/5 feet

Therefore, the length of the rectangle is 12/5 feet and the width is 9/5 feet.

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Answer: p=11

Step-by-step explanation:

-3(p-4) = -2p+1

-3p+12=-2p+1

+2p +2p

-p+12=1

-12 -12

(-1)-p=-11 (-1)

p = 11

Check answer:

-3(11-4)=-2(11)+1

-3(7)=(-22)+1

-21 = -21

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

[tex]4x+6y=44\\-4x-2y=-28[/tex]
_____________

       [tex]4y=16[/tex]

[tex]y=16/4 =4[/tex]

Replace "y" in the first equation:

[tex]4x+6(4)=44[/tex]

[tex]4x+24=44[/tex]

[tex]4x=44-24[/tex]

[tex]x=20/4=5[/tex]

Hope this helps

Answer:

x = 5, y = 4.

Step-by-step explanation:

4x + 6y = 44        (A)

4x + 2y = 28        (B)

Subtract equations: (A) - (B).

0 + 4y = 16

y = 16/4

y = 4.

Now plug y = 4 into equation A:

4x + 6(4) = 44

4x = 44 - 24

4x = 20

x = 5.

Now check if these roots are correct by plugging them into equation B:

4x + 2y = 28

4(5) + 2(4) = 28   - check OK.

Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

[tex]2\pi r=72[/tex]

[tex]\frac{2*22}{7*r}=72[/tex]

[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]

[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]

[tex]11.99=12(About)[/tex]

Thus, Answer = 12

~lenvy~

Answer:

⇒855cm²

Step-by-step explanation:

→Solution,

Diameter(d)=33cm

Radius(r)=d/2=33cm/2=16.5cm

Now,

Area=πr²

Area=3.14×(16.5cm)²

Area=854.865cm²=855cm²

Step-by-step explanation:

a) 7/10

b) 9/10

c) 4/10 = 2/5

d) 9/10

e) 2/10 = 1/5

I hope it helped you

Answer:

  9 1/2 inches

Step-by-step explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

  map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

  x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.

Answer:

Varies - possibly not enough information

Step-by-step explanation:

How many doses per day?

Do you only need to know the amount of oz. for "today"?

Does this need to be expressed in decimal form?

If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.

Decimal form: 2-2/3 = 8/3 = 2.667 oz.  

[tex] |2x - 1| = | - x - 2| [/tex]

Thus ;

[tex]2x - 1 = - x - 2[/tex]

Add both sides x

[tex]2x + x - 1 = - x + x - 2[/tex]

[tex]3x - 1 = - 2[/tex]

Add both sides 1

[tex]3x - 1 + 1 = - 2 + 1[/tex]

[tex]3x = - 1[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]

[tex]x = - \frac{1}{3} \\ [/tex]

[tex]2x - 1 = - ( - x - 2)[/tex]

[tex]2x - 1 = x + 2[/tex]

Subtract both sides x

[tex]2x - x - 1 = x - x + 2[/tex]

[tex]x - 1 = 2[/tex]

Add both sides 1

[tex]x - 1 + 1 = 2 + 1[/tex]

[tex]x = 3[/tex]

There u go ...

Here is the constructed frequency distribution table:

Number of visits   Number of students

0 - 1                            5

2 - 3                             9

4 - 5                           11

6 - 7                            5

8 - 9                            8

10 - 11                         2

A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.

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Answer:

Step-by-step explanation:

Equation : 2 × (6 - h)

Because h = 5, replace the variable h with 5.

2 × (6 - 5)

Solve the equation in the parentheses.

6 - 5 = 1

The equation is now 2 × 1, which is equal to 2.

So, 2 × (6 - h) is 2.

Hope this helped !

Answer:

B.

[tex]2.52 \times 10 ^{ - 2} [/tex]