The radius of the circle whose equation is (x + 4)² + (y - 2)² = 36 is

To determine how many times taller Laquisha's model is compared to Ben's model, convert their heights to improper fractions and divide, simplifying the result to find the ratio.

To find out how many times taller Laquisha's model is compared to Ben's model, we divide their heights. Laquisha's model height is
70 11/12 inches, and Ben's model height is 5 3/4 inches. First, convert the mixed numbers to improper fractions. Ben's height as an improper fraction is 23/4 inches. Laquisha's height as an improper fraction is 851/12 inches. Next, divide Laquisha's model by Ben's: (851/12)
÷ (23/4). To divide fractions, we multiply by the reciprocal of the second fraction: (851/12)
× (4/23). Simplify to find the ratio, which represents how many times taller Laquisha's model is.

Answer:

1/12 = 24/12 = 2

pea: 12/24

haz: 4/24

alm: 8/24

cash: 18/24

pec: 6/24

how to do it: find a common denominator, or write it how and scan it with photo math and it will show you how to work it out!

hope this helped or was right, thanks <3

Hi there! :)

Answer:

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²

Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

45² = 36² + b² → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

45² = 36² + b²

45² = 2,025

36² = 1,296

2,025 = 1,296 + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = 729

729 = b²

Square root on each side of the equation → √729 = 27

27 = b

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = 54 ⇒ Length of the other diagonal.

2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

(72 × 54) ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = 3,888

3,888 ÷ 2 = A

1,944 = A

There you go! I really hope this helped, if there's anything just let me know! :)

Answer:

The average weight is 7 1/8 pounds

Step-by-step explanation:

To find the average, we add them up and then divide by how many

average = (b1+b2+b3)/3

             = (8 1/4 + 6 1/2+ 6 5/8) /3

Let look at the sum

(8 1/4 + 6 1/2+ 6 5/8)

We need to get a common denominator of 8

8 1/4 *2/2 + 6 1/2 *4/4 + 6 5/8

8 2/8 + 6 4/8 + 6 5/8

20 11/8

20 + 1 3/8

21 3/8

average = (21 3/8) /3

Now we divide by 3

We need to change the mixed number to an improper fraction

21 3/8 = (8*21+3) /8 = 171/8

average = (171/8) /3

We can use copy dot flip

171/8 * 1/3

171/24

We need to change it back to a mixed number

24 goes into 171  7 times with 3 left over

7 3/8

7 1/8

Answer:

The helicopter still needs to fly up sec 17.0886 at maximum speed.

Step-by-step explanation:

To find out how far the helicopter went down do 100(seconds) * 10.5 and get 1050

Then how much he traveled back up same thing 150 (seconds) * 5.2 and get 780

Next  find the difference 780-1050 and get -270 ft it is negative because it is still BELOW GROUND ( That's how you know if it need to fly up or down)

Last to find how many seconds you need you work backwards so instead of multiplying you do the opposite witch is dividing so you take your feet (270) and divide by the maximum speed (15.8). 270/15.8 is 17.08

Rewrite it in the form a^2 - 2ab + b^2, where a = d and b = 2

d^2 - 2(d)(2) + 2^2

Use the Square of Difference: (a - b)^2 = a^2 - 2ab + b^2

(d - 2)^2

Answer:

(d - 2)²

Step-by-step explanation:

d² - 4d + 4 ← is a perfect square of the form

(x ± a )²  = x² ± 2ax + a²

compare coefficients of like terms

- 2a = - 4 ⇒ a =  2 and a² = 4, hence

d² - 4d + 4 = (d - 2)²

Answer:

Common denominators

A variable in the numerator

A variable in the denominator

Step-by-step explanation:

Note: An an algebraic fraction is the fraction that has some algebraic expression in numerator and some algebraic expression in denominator.

So, if fractions would have common denominators, a variable in the numerator or a variable in the denominator would be an algebraic fraction.

Therefore, following options best describes an algebraic fraction:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points P(2, 2) ans Q(7, 4). Substitute:

[tex]|PQ|=\sqrt{(7-2)^2+(4-2)^2}=\sqrt{5^2+2^2}=\sqrt{25+4}=\sqrt{29}\approx5.4[/tex]

Answer:

Alright well solve for f by cross multiplying

Exact form: f = 57/4

Decimal form: f = 14.25 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

p=-36

Step-by-step explanation:

-18=p/2

______________________

Multiply both sides by 2

-18(2)= p/2 (2)

______________________

-36 = p

switch the sides of the equation

______________________

p=-36

Answer: (c) [tex]\bold{\dfrac{3}{4}}[/tex]

Step-by-step explanation:

Chooe any point I am choosing point W.

The W' is closer to C than W so the dilation is less than 1

The only answer choice that is less than 1 is option c.

Why is this the answer? because the side lengths are proportional

[tex]\dfrac{CW'}{CW} = \dfrac{WX'}{WX}= \dfrac{3}{4}[/tex]

76 points/ 4 points per questions means he answered 19 questions correctly

plus the 10 he answered incorrectly  

76/4+10=x

19+10=x

29=x

Answer:

5n - 24

Step-by-step explanation:

distribute the parenthesis by 4

= - 7n - 24 + 12n ← collect like terms

= (- 7n + 12n) - 24 = 5n - 24

Answer:

5n-24

Step-by-step explanation:

-7n+4(-6+3n)

Distribute:-7n-24+12n

Simplify: 5n-24

Answer:

84

Step-by-step explanation:

42x2=84

multiply 2 with 42 which comes out as 84

[tex]|x|>5\iff x>5\ \vee\ x<-5[/tex]

Answer:

Option A is correct.

The table represents a direct variation because the values are proportional.

Step-by-step explanation:

The direct variation says that:

[tex]y \propto x[/tex]

then; the equation is of the form : [tex]y =kx[/tex] where k is the Constant of Variation.

Consider any values of x and y from the table, to solve for k;

Let x = 10 and y = 2.5

then;

[tex]2.5 = 10k[/tex]

Divide both sides by 10 we have;

[tex]k = \frac{2.5}{10} = \frac{25}{100} = \frac{1}{4}[/tex]

Then the equation becomes:

[tex]y =\frac{1}{4}x[/tex]

Therefore, the table represents a direct variation because the values are proportional.

Answer: A The table represents a direct variation because the values are proportional.

Step-by-step explanation:

Answer:

C) $51

Step-by-step explanation:

Step 1. Calculate the discount

The discount is 15 % of $60

Discount = 60 × 0.15

Discount = $9

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

Step 2. Calculate the sale price

Sale price = original price - discount

Sale price = 60 - 9

Sale price = $51

The sale price will be $51.

Answer:

He saw 4 more

Step-by-step explanation:

There were 5 sparrows and 1 blue jay 5 - 1 = 4

Answer:

42 meters

Step-by-step explanation:

because 13 + 13 + 8 + 8 = 42.   and that's your answer

Final answer:

The area of the café is calculated by multiplying the length (13 meters) by the width (8 meters), resulting in an area of 104 square meters (104 m²).

Explanation:

The area of the café at the park can be calculated using the formula for the area of a rectangle, which is the product of its length and width. Given that the café is 13 meters long and 8 meters wide, we multiply these two dimensions to find the area.

Step-by-Step Calculation

Identify the length (13 meters) and the width (8 meters) of the rectangle.

Multiply the length by the width: Area = length × width.

Calculate: 13 meters × 8 meters = 104 square meters (104 m²).

Therefore, the area of the café is 104 m².

Answer:

150

Step-by-step explanation:

3000 * 0.05 = 150

Answer:

B

Step-by-step explanation:

If you do 12,000 - 92% it gives you 960 and the 92% is = 11,040

Answer:

1440π squared mm.

Step-by-step explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

Answer:

1440π

Step-by-step explanation:

We are given the radius of the base of a right cylinder to be 12 mm and its altitude or height to be 5 times the base radius which is equal to (12 x 5) = 60 mm.

We know the formula for the lateral area of a right cylinder:

[tex]A = 2\pi rh[/tex]

So putting in the given values with [tex]\pi[/tex] as it is to get:

[tex]A=2\pi *12*60[/tex]

[tex]A=2(720)\pi[/tex]

[tex]A=1440\pi[/tex]

Therefore, the lateral area of this right cylinder is 1440π.

Answer:$7.50

Step-by-step explanation:

multiply 2.50 by three because four goes into 12 three times.

Answer:

30.00$

Step-by-step explanation:

All you have to do is multiply 2.50 by 4 and that equals 10.00

And then know how much a dozen is which equals 12.

And last multiply 2.50 by 4, 3 times and you will get 30.00

Answer:

45%

Step-by-step explanation:

You do 18 divided by 40

Which is .45

Answer:

65,81,97,113,129

Step-by-step explanation:

she has 65 water bottles and she is buying boxes of water bottles (x) that hold 16 water bottles each. She can only buy up to 5 water bottles.

f(x) = 16x + 65...where f(x) = total water bottles and x = number of boxes

x < = 5 here is ur restriction

the range is ur f(x) values which represent the total number of water bottles...keep in mind, she can only buy 5. Therefore, the numbers that can be subbing in for x are 0 thru 5.

So when subbing in 0 thru 5 for x, the results for f(x) are :

{ 65,81,97,113,129 }

Answer:

about 11920.92896

Step-by-step explanation:

Answer:

[tex]\frac{8}{12}[/tex] equal to [tex]\frac{8}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] -------------------------  [tex]\frac{8}{12}[/tex]

Lets compare both the fractions

To compare both the fractions the denominators should be same

Lets make the denominators same

WE try to get 12 in the denominator of first fraction, so we multiply top and bottom by 4

[tex]\frac{2*4}{3*4}=\frac{8}{12}[/tex]

[tex]\frac{8}{12}[/tex] -------------------------  [tex]\frac{8}{12}[/tex]

Both fractions are equal

So [tex]\frac{8}{12}[/tex] equal to [tex]\frac{8}{12}[/tex]

The particular computer will take approximately 22.5 minutes to download a 1.5 hour movie.

In this particular problem, we need to figure out how long a computer will take to download a movie. The computer in question takes 13 minutes to download a 52 minute TV-show, establishing a rate of downloading. We can therefore calculate how long the computer takes to download a minute of TV-show by dividing the download time by the length of the show: 13/52 = 0.25 minutes per minute of show. Next, we convert 1.5 hours (the length of the movie) into minutes, because our rate is in terms of minutes: 1.5*60 = 90 minutes. We then multiply this by our download rate (0.25) to get our answer: 90*0.25 = 22.5 minutes. Thus, this particular computer will take approximately 22.5 minutes to download a 1.5 hour movie.

https://brainly.com/question/33722206

#SPJ2