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Given:

The equation is:

[tex]2540=\dfrac{22}{7}r^2(20)[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]2540=\dfrac{22}{7}r^2(20)[/tex]

It can be written as:

[tex]\dfrac{2540\times 7}{22\times 20}=r^2[/tex]

[tex]\dfrac{17780}{440}=r^2[/tex]

[tex]\dfrac{889}{22}=r^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{\dfrac{889}{22}}=r[/tex]               [Radius cannot be negative]

[tex]r=6.3568145[/tex]

[tex]r\approx 6.36[/tex]

Therefore, the value of r is about 6.36 cm.

The answer to part A is correct. You basically have to find the area of that L shape, and subtract off the area of the shaded trapezoid.

To get part B, you need to find the perimeter. This is because the trim runs along the bottom edge of the wall. Refer to the diagram below. Adding up the exterior sides gets us:

12+12+4+8+8+4 = 48

So she needs 48 meters of trim.

I'm not sure what your teacher means by "what assumptions do you make". If your teacher is referring to something like making room for a door, then we'll have to subtract some value from that 48. The problem with this though is that we don't have any clue how wide the door is. So you'll have to ask your teacher for clarification.

Luckily, this value 48 is an overestimate of the amount of trim Jennifer needs to buy. In my opinion, it's better to overestimate than underestimate, which saves from having to make another trip to the hardware store.

Answer: -4 is slope

Step-by-step explanation:

formula is y2-y1/ x2-x1

8-4=4

6-7=-1

4/-1= -4

Answer: The answer is C. 4

Step-by-step explanation:

(0,0) and (4,16)

(y1-y2)/(x1-x2)

0-16/0-4=16/4=4

Answer:

d

Step-by-step explanation:

Edit: Please mark brainliest!!!!

Answer:

6:00 am

Heeeeyyyyyy, so i had the same problem from rsm, but like anyways, here it is

Let the distance between

Answer:

the previous population was 62,000.

Step-by-step explanation:

The current population of a city = 83,700

The population of a city has increased by 35% since it was last measured.

We have to calculate the previous population before increasing 35%.

Let the previous population be p

p +(35% × p) = 83,700

p + 0.35p = 83,700

1.35p = 83,700

p =  

p = 62,000

Therefore, the previous population was 62,000.

The population of a city has increased by 27% since it was last measured and the previous population was 62,000.

The current population of a city = 83,700

The population of a city has increased by 35% since it was last measured.

We have to calculate the previous population before increasing 35%.

A population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.

Let the previous population be p

p +(35% × p) = 83,700

p + 0.35p = 83,700

p = 83,700

p =  [tex]\frac{ 83,700}{1.35}[/tex]

p = 62,000

Therefore, the previous population was 62,000.

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Answer:

(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3

Step-by-step explanation:

Answer:

=6x^3-20x^2+26x-28

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

find the area of each shape. you have a length of 3 and a height of 4.

3 • 4 = 12

you have this shape twice so 12 • 2 = 24

now you have a length of 5 and a height of 6.

5 • 6 = 30

so adding up all of the numbers (24 + 30), you have an answer of 54.

Answer:

Step-by-step explanation:

Set this up under the "mound" curve with 7 in the dead center. One standard deviation to the right is 8, another one is 9, another one is 10. Do the same going to the left, but go down from 7 to 6 to 5 to 4. Between the 6 and the 8 you will find 68% of the weights; between the 5 and the 9 you will find 95 % of the weights; and between 4 and 10 you will find 99.7% of the weights.

The percentage of the oranges from the orchard weighing between 4 oz and 10 oz is 99.7%

Answer:

Step-by-step explanation:

The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45

The angle in the right triangle is given as 52.

The cos(52) = adjacent side (which we just found to be 6) / y

Multiply both sides by y

y cos(52) = 6

cos(52) = 0.6157

Divide by sides by cos(52)

y = 6 / cos(52)

y = 6 / 0.6157

y = 9.76

6 minutes per mile.

As in, 30/5= 6

Answer:

Deandre can run 1 mile in 6 min

Step-by-step explanation:

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

radius of Ab/ radius of Ac= length of arc EF/ length of arc CD

Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

This is the exact answer so make sure you change it up a little.

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

the radius of AB /radius of AC= length of arc EF/length of arc CD

The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

Answer:

given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...

9 votes

Answer:

(A), 21, 22,and 26

Step-by-step explanation:

gakzbzkxvuxnsslvzixvdkdbdjxvshhzvskdvxy dgsjzvsks ysjdbdudvsk jdkdbdb

Answer:

A

Step-by-step explanation:

cause it will be more faster just because it is in a solid phase or it is solid

The time taken to hit the ground is 6.25 sec.(Option B)

How to calculate time?

It is given that penny follows the trajectory:

[tex]y = -4.9x^2 + 32x + 425[/tex]

Differentiating it we get:

[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]

At y=425, it is obvious that x=0

So dy/dx at x=0 is 32.

Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).

Ф[tex]=\tan^{-1}(32)[/tex]

Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec

Now applying the equation of motion: acceleration=-32ft/sec^(2)

u=31.98ft/sec   s=-425   t=?

[tex]s=ut+\frac{1}{2} at^{2}[/tex]

[tex]-425=31.98t-16t^2[/tex]

[tex]16t^2-31.98t-425=0[/tex]

Solving the quadratic equation we get:

t=6.249 sec≅6.25 sec

Therefore, the time taken is 6.25 sec.

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Answer:

right the box in the corner means it's a 90 degree angle or a right angle

Answer:

right

Step-by-step explanation:

The box in the corner means the angle is 90 degrees, which means it is a right angle.  That means the triangle is a right triangle

Answer:  [tex]\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)[/tex]

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

From there, we can then say the following:

[tex]\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}[/tex]

Answer:

The expression is 70 - 9 u .

Step-by-step explanation:

Digit at ones place = u

Let the digit at tens place is y.

Sum of the digits is 7.

y + u = 7

y = 7 - u

So, the number is

10 y + u

= 10 (7 - u) + u

= 70 - 10 u + u

= 70 - 9 u

Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều   rộ:y

[tex]\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.[/tex]

[tex]\left \{ {{x+y=163} \atop {xy=6370}} \right.[/tex]

[tex]\left \{ {{y=163-x} \atop {xy=6370}} \right.[/tex]

[tex]\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.[/tex]

[tex]\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\[/tex]

[tex]\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.[/tex]

[tex]\left \{ {{y=65} \atop {x=98}} \right.[/tex]

Answer:

4

Step-by-step explanation:

y = 1/5x -1

Let x = 25

y = 1/5(25) -1

  = 5-1

  = 4

y =4

Answer:

I think that it is 4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.

Answer:

False

Step-by-step explanation:

(X+y)^2 = x^2 + 2xy + y^2

First you expand and then distribute

The rule is:

(a+b) ^2 = a^2 + 2ab + b^2

Answered by Gauthmath

The unit rate of the car that travels 5 2/5 km in 2 3/4 mins is: 1.96 km/min.

Unit rate can be defined as the ratio of one quantity in comparison to another.

Distance travelled by a car = 5 2/5 km = 5.4 km

Time travelled = 2 3/4 mins = 2.75 mins

Unit rate in km/min = 5.4/2.75

Unit rate in km/min = 1.96 km/min.

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Answer:

Okay,So lines of symmetry are basically how many different ways you can fold that shape without any hanging out etc.

Answer:

There are 3 lines of symmetry

Step-by-step explanation:

The lines of symmetry are

horizontal

vertical.

diagonal

Hope this helped! Please tell me if there is something wrong with my answer.

Answer:

50.4 meters

Step-by-step explanation:

Given

[tex]h = 50[/tex] -- height of the tower

[tex]\theta = 7.1^o[/tex] --- angle with the wall (missing from the question)

Required

The distance walked by the ant (d)

I've added an attachment to illustrate the given parameters.

Where

[tex]h \to[/tex] height of the tower

[tex]d \to[/tex] distance walked

To calculate d, we make use of cosine trigonometric ratio:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

So, we have:

[tex]\cos(7.1^o) = \frac{50}{d}[/tex]

Make d the subject

[tex]d = \frac{50}{\cos(7.1^o)}[/tex]

[tex]d = \frac{50}{0.9923}[/tex]

[tex]d = 50.4[/tex]

Answer:

Round 1 = 0 points

Round 2 = 17 points

Round 3 = 25 points

Round 4 = 75 points

Step-by-step explanation:

Determine how many points will be scored in each round in correspondence to the variable 'x':

Round 1:

0(x)

Round 2:

x

Round 3:

x+8

Round 4:

3(x+8)

We know that the sum of all points made in all rounds is 117. Using this information, we can make an equation:

0(x)+x+(x+8)+[3(x+8)]=117

Now, we solve for x:

x+x+8+3x+24=117

5x+32=117

5x=117-32

5x=85

[tex]\frac{5x}{5} =\frac{85}{5}[/tex]

x=17

Now we substitute the calculated value for x in each round:

Round 1:

0(17)=0

Round 2:

(17)=17

Round 3:

(17)+8= 25

Round 4:

(25)*3=  75

Standard form of a quadratic equation: ax^2 + bx + c = 0

4x^2 - 5x + 10 = 2x

4x^2 - 7x + 10 = 0

Hope this helps!

Answer:

Step-by-step explanation:

i. 5/12

ii. 1/8

iii. 11/24

iiii. 7/8