20. In the proportion 10:18=35:63, then which of the
following is NOT true
The product of extremes 630
The product of mean 350
The sum of extremes 73
The sum of the mean is 53​

Answer:

[tex]r=9.0\:\mathrm{cm}[/tex]

Step-by-step explanation:

The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:

[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].

Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.

Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).

The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.

For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

We can rearrange this formula to solve for r:

r = [tex](3V/4\pi)^{(1/3)[/tex]

Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:

r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm

Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.

For more details regarding volume, visit:

https://brainly.com/question/1578538

#SPJ3

[tex]\frac{12}{5}[/tex]  or  [tex]2 \frac{2}{5\\}[/tex]

Keep [tex]\frac{2}{5}[/tex] the same

change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]

Flip  [tex]\frac{1}{6}[/tex]  so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]

After doing those steps your new equation will look like this-  [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]

[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]        Now all you have to do is multiply

1st- multiply 2x6

2nd- multiply 5x1

[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]

So your answer is [tex]\frac{12}{5\\}[/tex]  or [tex]2 \frac{2}{5}[/tex]

Hope my explanation helps you out!

Hey there!

I believe the answer to your question is 24.

If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.

Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.

Answer:

2

Step-by-step explanation:

Remark

You are going to set up a proportion. The sides used are opposite the chosen angles.

Givens

x is opposite an angle marked by 2 arcs.

5 is opposite an angle marked with 1 arc.

8 is opposite an angle marked with 2 arcs

20 is opposite an angle marked with 1 arc.

Equation

x/5 = 8/20              Cross Multiply

20x = 5*8

20x = 40

x = 40/20

x = 2

The second account (compound interest) is worth more than the first account (simple interest) is $105.4.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Luke invested $2400 in two accounts.

The first account pays 3% simple interest.

The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years.

The interest from the first account will be

[tex]\rm Simple \ Interest = \dfrac{2400*3*10}{100} = \$720[/tex]

The interest from the second account will be

[tex]\rm Compound \ interest = 2400(1.03)^{10} - 2400\\\\Compound \ interest = \$825.4[/tex]

Then the second account be worth more than the first account will be

→ $825.4 – $720 = $105.4

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer:

C

Step-by-step explanation:

Answer:

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Step-by-step explanation:

1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:

[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]

= [tex]\frac{-5}{-3}[/tex]

= [tex]\frac{5}{3}[/tex]

2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Answer:

7362.49 yards

Step-by-step explanation:

Mauricio has a height of 2 yards

The building has a height of 906 yards from the ground

The height of the building from Mauricio's eye will be : 906 - 2 = 904 yards

The angle of elevation of the top of building from the viewer = 7°

Apply the formula for tangent of an angle where;

Tan ∅ = Opposite side height/Adjacent length

Tan 7° = height of building / viewer distance from base of building

Tan 7° = 904 / viewer distance from base of building

Viewer distance from base of building = 904/Tan 7°

=7362.48917089

=7362.49 yards

Answer:

Step-by-step explanation:

the student buys a total of 8 magazines for $14.00

x+y = 8

x = 8-y

2x+1.6y = 14

2(8-y)+1.6y = 14

16-2y+1.6y = 14

16-0.4y = 14

0.4y =16-14 = 2

y = 2/0.4 = 5

x = 8-y = 3

The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A student buys (x) fashion magazines and (y) sports magazines.

And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.

Here, The student buys a total of 8 magazines for $14.00.

Hence, We can formulate;

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Thus, The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer: y = -1/2x - 1

Answer:

Y=−3x2+6x+9

Step-by-step explanation:

Answer:

6,9,2,4,10

Step-by-step explanation:

There are possible multiples that can be divisible by 54.

Answer:

5.265748

Step-by-step explanation:

i did a cm to feet calcu-lator

have good day

The correct answer is 4 feet 17 inches is 160.5 c.m.

The process to convert cm to feet is simple. 1 cm. is equal to 0.025 feet. So you must multiple the unit by 0.025.

Given:

1 feet = 38.48 cm.

1 cm. = 0.025 feet.

160.5 cm = (0.025/1) * 160.5

160.5 cm = 4.1709 feet  

4.1709 feet  

4.1709 feet  = 4 feet + 1709 inches.

We can 4.1709 feet which is equal to 4 feet 17 inches.

Therefore, 160.5 cm is equal to  4 feet 17 inches.

Learn more about c. m.  to feet here:

https://brainly.com/question/1342081

#SPJ6

Answer:

2079

Step-by-step explanation:

Homes without children outnumbers homes with children by about 7 to 5 ;

If number of children = 3564

Number of homes without children :

Expressing the relaship interms of ratio :

Without children : with children = 7 :5

Total ratio = 7 + 5 = 12

Number of homes without children:

(7 / 12) * 3564

0.5833333 * 3564

= 2079

Answer:

c. 12

Step-by-step explanation:

if the pentagons are similar they have a common factor.

the factor between 16 cm and 8 cm is 2, so 6*2 is 12.

Answer:

The coefficient of 7x is 7

Answer:

6 units

Step-by-step explanation:

They are on the same y-point and so you just have to count the spaces between them on the x-axis.

12 units is the distance between q and r

Answer:

(4,7)

Step-by-step explanation:

Answer:

3x+9

Step-by-step explanation:

If it’s multiple choice the other one is

x +1+1+1+x +1+1+1+ x +1+1+1

I hope this helps!

Answer:

(-5 + 4, -3 - 3)

Step-by-step explanation:

"4 units to the right" requires ADDING 4 to the x-coordinate of (-5, -3):

(-5 + 4, -3).

"3 units down" requires SUBTRACTING 3 from the y-coordinate:  

(-5 + 4, -3 - 3), or (if simplified) (-1, -6)

Answer:

h(0)= -5

h(-2)= -7

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

x just represents a value, so simply plug 0 into the equation instead of x.

h(0)= -0 - 5

h(0) = -5

Answer:

9 mi.

Step-by-step explanation:

sorry if i get it wrong ):

Answer:

15/3 equals 5

5 inches

Step-by-step explanation:

Answer:

5 shirts

Step-by-step explanation:

Step one:

given data

Each shirt costs $15.00 including tax.

A one-time shipping fee of $3.25

The total cost of Jill's order is $78.25

Step two:

let the number of shirts be x

so

y=15x+3.25

for y= $78.25, let us find x

78.25=15x+3..25

collect like terms

75= 15x

divide both sides by 15

x=75/15

x=5

Answer:

z=-3

Step-by-step explanation:

Step 1: Subtract 9z from both sides.

Step 2: Subtract 3 from both sides.