Why the circle for parallelogram does not intersect the circle for trapezoid

Answer:

[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}}=\frac{1}{9}[/tex]

Step-by-step explanation:

We are given that a and b are positive integers such that:

[tex]a-b=2[/tex]

And we want to evaluate:

[tex]\displaystyle \frac{27^{1/3b}}{9^{1/2a}}[/tex]

First, note that 27 = 3³ and that 9 = 3². Therefore:

[tex]\displaystyle =\frac{(3^3)^{1/3b}}{(3^2)^{1/2a}}[/tex]

Simplify:

[tex]=\displaystyle \frac{3^b}{3^a}[/tex]

Using the quotient property of exponents:

[tex]=3^{b-a}[/tex]

From our given equation, we can divide both sides by -1 to acquire:

[tex]-a+b=-2\text{ or } b-a=-2[/tex]

Therefore:

[tex]=3^{-2}[/tex]

Hence, our answer is:

[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}} =\frac{1}{3^2}=\frac{1}{9}[/tex]

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!

Answer:

Step-by-step explanation:

Set up synthetic division, starting with x - 1 as the divisor, and then (from that) 1:

1     /    1   0    0    -1               The coefficients of x^2 and x are zero here.

               1     1      1

     --------------------------

         1     1      1      0              

Since the remainder is zero, 1 is a root and x - 1 is a factor of the original

x^3 - 1 = 0.

Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

Answer:

your not in highschool

Step-by-step explanation:

Answer:

232 in^2

Step-by-step explanation:

Using the formula for surface area A=2(wl+hl+hw)

A=2(16+80+20)

A=232

The surface area of the cereal box is 232 square inches

The surface area of a cuboid is the total area of all its surfaces. Since a cuboid is a three-dimensional solid shape, the value of its surface area depends on the dimensions of its length, width, and height. The change in any of the dimensions of a cuboid changes the value of the surface area of a cuboid. The surface area of a cuboid is expressed in square units.

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

According to the question

A cereal box has a height = 10 inches

A cereal box has a length = 8 inches

A cereal box has a width = 2 inches

Now ,

Applying the formula of Total Surface Area of Cuboid as cereal box is also a cuboid

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

substituting the values

Total Surface Area of Cuboid

= 2 (8*2 + 2*10 + 8*10)

= 2  (16 + 20 + 80)

= 2(116)

= 232 square inches

Hence, the surface area of the cereal box is 232 square inches

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Answer:

Aiden would have $67 more than Autumn.

Step-by-step explanation:

Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]

Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]

That gives us: 122115.5196

Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]

Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.

Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]

That gives us: 122048.5974

Now just subtract the two and round to the nearest dollar:

[tex]122115.5196-122048.5974=66.92215187[/tex]

OR

$67. Aiden would have $67 more than Autumn after 11 years.

Answer

True I’d think

Step-by-step explanation:

Answer:

Perimeter= 49

area= 360

Step-by-step explanation:

perimeter means you need to add 40+9 and area means you must multiple the numbers.

Answer:

corrcect

Step-by-step explanation:

Base times Hight

Answer:

36 i think

Step-by-step explanation:

Answer:

there is two terms. 3x^4 and 2y)^7

please mark as brainliest

Answer:

9°C

Step-by-step explanation:

Total temperature= mean * number of days

Total for 4 days=4°C * 4days=16°C

Total for 5 days=5°C * 5days=25°C

Temperature for 5th day =25-16

=9°C

Answer:

The diagonal length is 10 miles.

Step-by-step explanation:

This is the work of the Pythagorean theorem : [tex]a^{2} + b^{2} = c^{2}[/tex]

-------------------------------

[tex]8^2 + 6^2 = c^2\\100 = c^2\\10=c[/tex]

Good Luck!!!

Answer:

10 miles

Step-by-step explanation:

pythagoras' Theorem

8^2 + 6^2 = c^2

64 + 36 = 100

c^2 = 100

c = √100

c = 10 miles

Answer:

$64

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hope this help you with this problem!

The closest to the inverse notation is (d) 5

From the question, we have the following parameters that can be used in our computation:

The graph of the function f(x)

The notation f'(7) implies that we determine the inverse of the function

From the graph, we have the following equation

f(5) = 7

This means that

f^-1(7) = 5

Hence, the closest is (d) 5

Read more about inverse function at

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Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

See explaination and answer below

Step-by-step explanation:

Relationship:

Complementary angles add up to 90 degrees

JKL + MNP = 90

Solve for x:

(2x - 3) + (5x + 2) = 90

7x - 1 = 90

7x = 91

x = 13

Solve for JKL:

JKL = 2x - 3

JKL = 2(13) - 3

JKL = 23 degrees

Solve for MNP:

MNP = 5x + 2

MNP = 5(13) + 2

MNP = 67

Check work:

67 + 23 = 90

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer: First you have to know that complementary mean 90*

Step-by-step explanation:(2x-3)+(5x+2)=90

2x - 3 + 5x + 2=90

7x-1=90

7x=90+1

7x=91

x=91/7

x=13

37.5 is 60% of 62.5#

Explanation:

First, let's call the number we are looking for  

n

.

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as  

60

100

.

When dealing with percents the word "of" means "times" or "to multiply".

So, putting this all together allows us to write the following equation and solve for  

n

while keeping the equation balanced:

60

100

×

n

=

37.5

100

60

×

60

100

×

n

=

100

60

×

37.5

1

×

n

=

3750

60

n

=

62.5

Hi!

So to find out the slope, we can use the equation change in y value over change in x value -- or vertical change over horizontal change.

Find two points on the graph that line up exactly on the lines of the graph, like (20, 0) and (12, 0).

Then, take the change in y value (20-0 = 20) and divide it by the change in x value (0 - 12) to get -20/12, or -5/3.

Hope this helped!!

Answer:

352

Step-by-step explanation:

8×11×4

volume=L×W×H

Answer:

Las longitudes que se forman entre los vértices y el centro de un polígono regular son;

Los radios del círculo circunscrito

Step-by-step explanation:

Cada círculo de radio, 'r', tiene un polígono que se puede inscribir polígono regular que tiene 'n' lados, donde n ≥ 3 y viceversa, todos los polígonos regulares se pueden inscribir (dibujar) en un círculo, que luego se conoce como la circunferencia del polígono

Dado que un polígono regular se puede inscribir en un círculo, de modo que sus vértices descansen sobre la circunferencia del círculo, entonces el centro del polígono es el centro del círculo que lo circunscribe.

Por lo tanto, las longitudes (iguales) que se forman entre los vértices y el centro del polígono regular son el radio del círculo que lo circunscribe..

Answer:

7 squares of chocolate

Step-by-step explanation:

14/2 = 7