The city of Paris, France is completely contained within an almost circular road that goes around the edge. If the diameter of the city is about 7 miles, estimate the circumference and area of the city to the nearest mile or square mile

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Answer:

B. 1.2, 1.234, 1.237, 1.48, 2.01

Step-by-step explanation:

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

Answer:

First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.

Last 4-digit number is 9999 which is not a multiple of 5 and so are 9998, 9997, 9996. Largest 4-digit number which is multiple of 5 is 9995.

Number of 4-digit multiples of 5  = 9995 − 1000 /5 + 1 = 8995/ 5 + 1 = 1799 + 1 = 1800

Step-by-step explanation:

A number  x  is said to be a multiple of number  n  if  n  divides the number  x

. One important observation is if  x  is a multiple of  n  then the next multiple of  n  is  x + n

. Hence the multiples of number  n  occur in differences of  n

Suppose  x  and  y  are multiples of  n

. Number of multiples of  n  between  x  and  y

including them is given by  y − x  / n + 1

Because for every n numbers in between  x  and  y  there is a multiple of  n

Combination helps to know the number of ways objects can be arranged. The 4-digit numbers that are multiples of 5 are 1800.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

In order to make a 4 digit number divisible by five the number must end with either 5 or 0, and for the number to be a 4 digit number, it can not start with 0. therefore, the first place can be occupied by any number from 1 to 9, the second place can be occupied by any number from 0 to 9, the third number can be occupied by any number from 0 to 9, and the fourth number can be occupied by any number from 0 or 5. Thus, the possible options are,

[tex]= ^9C_1 \times ^{10}C_1 \times ^{10}C_1 \times ^2C_1\\\\= 9 \times 10 \times 10 \times 2\\\\= 1800[/tex]

Hence, the 4-digit numbers that are multiples of 5 are 1800.

Learn more about Combination:

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Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

bottom right

Step-by-step explanation:

Your answer is the bottom right number line.

To answer this question we should first do the calculation 1/8 - (-3/4) to find out what the final answer should be:

To subtract fractions they must have a common denominator, so we’re going to multiply -3/4 by 2 to get -6/8. This will give us:

1/8 - (-6/8) = 1/8 + 6/8 = 7/8. (this turns into + because when you subtract a negative number the minus sign cancels out)

Therefore the correct answer must land on 7/8 on the number line, which is 1 mark away from 1 because each mark represents 1/8, so your answer is the number line in the bottom right.

I hope this helps!

Answer:

23

Step-by-step explanation:

you take the greatest and least greatest number until only one is left.

21, 27, 29, 20, 22, 33, 23

21, 27, 29, 20, 22, 23

21, 27, 29, 22, 23

27, 29, 22, 23

27, 23

23

Answer:

B and E

Step-by-step explanation:

Subtract the area of the rug from the bedroom floor.

Answer:

E

Step-by-step explanation:

Area of the floor that is not covered = Area of floor - area of rug

= 19 *19 - 5*8

= 361 - 40

= 321 Sq.ft

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

Hope it helps, Pls mark as Brainliest!!!

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

B)6 units

Step-by-step explanation:

-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10

or

-7-(-1)=-6

Distance can't be a negative so the answer is 6.

Answer:

124 sq cm

Step-by-step explanation:

Surface Area of the recatangles on both sides is 50 cm each so

50+50=100

and the area of the two triangles is 12 each so

12+12=24

and 100+24=124

Answer:

184cm^2

Step-by-step explanation:

SA=hp+2B

h=10

p=16

hp=160

B= 1/2bh

B=12

12x2=24

hp+2B= 24+160= 184

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

i Substituted the value ofthe variable into the equation and simplified it.

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Answer:

90%

Step-by-step explanation:

9/10 = 90/100

the answer to the equation is 90

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Answer:

15.8

Step-by-step explanation:

The formula would be V = Bh, the Base being LxW.

Since we already know the base and volume, we can substitute it into the formula.

306.52 = 19.4(h). Divide by 19.4, and you get 15.8 as your answer.

Hope that helps! Tell me if im worng, im only a student .m.

Answer:

D

Step-by-step explanation:

For this one (and others that are similar to this one) you can't have a portion of a box, therefore, you can eliminate all the other answers.

The smallest number of boxes she needs to pack all the eggs is 15.67,

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Eggs = 94

Each box Hold= 6 eggs

So, number of boxes required to hold 94 eggs

= 94 / 6

= 15.66

Hence, smallest number of boxes she needs is 15.67

Learn more about Unitary Method here:

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Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Answer: [tex]1.2447 * 10^4[/tex]

Step-by-step explanation:

1.2447 × [tex]10^4[/tex]

( scientific notation )

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.

Answer:

1.2447 x 10^4

Step-by-step explanation:

The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)

Next, count how many places are to the right of the decimal.

1.2447 = 4

So, that would get you 1.2447 times 10 to the power of 4.

Answer:

[tex]\frac{y-2}{4}[/tex]

Step-by-step explanation:

Let's start by factoring everything:

[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]

[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, you can cancel out some terms:

[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]

[tex]\frac{y-2}{4}[/tex]

Hope this helps!

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

Step-by-step explanation:

6/20 Gallons

Answer:

[tex]\frac{3}{10}[/tex].

Step-by-step explanation:

To do this, we will need to subtract fractions.

[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Answer:

7x-58

just add all the terms