the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 in^2. find the lengths of the sides of the two squares

Answer:

1/x^2

Step-by-step explanation:

exponent rule: a^-b = 1/a^b

x^-2 = 1/x^2

Answer:

[tex] \frac{1}{ {x}^{2} } [/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex] {x}^{ - 2} [/tex]

2) Use negative power rule: x^-a = 1/x^a.

[tex] \frac{1}{ {x}^{ 2} } [/tex]

hence, the answer is 1/x^2.

Answer:

2: 176.8mm

4: ?

Step-by-step explanation:

2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8

4: I can't see the problem, sorry :(

Answer:

2. 2461.8

4. 86.6

Explanation:

your formula for area is pi×radius^2

you are using 3.14 for pi

and your radius is half way across the circle or half the diameter.

2. 3.14×(28)^2

3.14×784

=2461.8

4.This one shows the diameter so you have to divide it by 2 first.

10.5/2=5.25

radius=5.25

3.14×(5.25)^2

3.14x27.5625

=86.6

I ROUNDED BOTH ANSWERS AT THE END

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Where

l is the length of the prism

Substitute all the values,

[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]

So, the length of the prism is equal to 24 feet.

Answer:

there you go. hope this helps out

Answer:

36[tex]x^{2}[/tex] - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36[tex]x^{2}[/tex] - 12x + 12x - 4

= 36[tex]x^{2}[/tex] - 4

Answer:

87 , 84, 81, 78, 75

Step-by-step explanation:

it goes down each time by threes

Answer:

v - u = 10t

t = 1/10x(v-u)

2. 1/6 x (m - 19) = n

3. u = d/t - at

4.- 1/6 x (A - P)

T = 2.5

Step-by-step explanation:

v = u + 10t

v- u = 10t

divide both sides of the equation by 10

t = 1/10x(v-u)

2. m = 6n + 19

subtract 19 from both sides of the equation

m - 19 = 6n

divide both sides of the equation by 6

1/6 x (m - 19) = n

3. d = ut + at²

subtract  at² from both sides of the equation

d - at² = ut

divide both sides of the equation by t

(d/t) - at = u

4. P = A - 6D

subtract A from both sides of the equation

P - A = -6D

divide both sides of the equation by -6

-1/6(P - A) = D

Answer:

29°

Step-by-step explanation:

151° + a=180°

We know the sum of angles in a straight line is 180°

a= 180°-151°

The sign changed as it changed sides

a= 29°

9514 1404 393

Answer:

  y = 1/3w -1/6x

Step-by-step explanation:

Subtract the terms not containing y, then divide by the coefficient of y.

  [tex]3y+\dfrac{1}{2}x-w=0\\\\3y=w-\dfrac{1}{2}x\qquad\text{subtract non-$y$ terms}\\\\\boxed{y=\dfrac{1}{3}w-\dfrac{1}{6}x}\qquad\text{multiply by $\dfrac{1}{3}$}[/tex]

Answer:

C

Step-by-step explanation:

12 decreased by 2 times x

Step-by-step explanation:

f(g(x))

f(x-1)

(x-1)^2

x^2 -2x + 1

Answer:

x=18

Step-by-step explanation:

Answer:

first group like terms

16+2=x

18=x

x=18

Answer:

7/25

Step-by-step explanation:

In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.

To find this, we need to locate the intersection in the Venn diagram which is

14.

The intersection represents the number of students that both play a sport and take a foreign lang.

We have our favorable outcomes of 14.

Our total outcomes can be found by adding all the numbers like so:

23+14+10+3=50

The theoretical probability theorem is:

Number of favorable outcomes/number of total outcomes.

So our answer is 14/50, or simplified as 7/25!

Hope it helps! :))

Answer: Where is the square?

Step-by-step explanation:

Area = 85ft²

To find the area of the given square you can use the following equation

[tex]Area = Side^2\\Area = 8^2\\Area = 64[/tex]

To find the missing side of the given triangle, you will have to use Pythagorean's theorem

[tex]Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6 \\[/tex]

Now that we know what both sides are we can use the following equation to get the area of the triangle

[tex]Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21 \\[/tex]

After that, we can add both areas together and get the following

[tex]21+64=85[/tex]

The figure is a rectangle.

The figure has Four sides.

The figure has the dimensions of Length and Width.

Sorry if its wrong, I have bad memory

Answer:

The price would go down as people would be more willing to buy cheaper potatoes and the producers would want to sell them for a lower price to get rid of them easy and fast.

Step-by-step explanation:

Hope this helps you :)

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer:

answer is in the picture above

Answer:

92 inches squared

Step-by-step explanation:

6x6=36

4x(8+6)=56

56+36=92

Answer: 238

Step-by-step explanation: 15% of 280 is 42 so subtract 42 from the number and it equals 238

Answer:

Area = 12

Step-by-step explanation:

The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.

Area = b * h / 2

b = 2 + 2 = 4

h = 8

Area = 1/2  * 4 * 8

Area = 1/2 * 32

Area = 16

The smaller triangle is found from all the twos.

b = 2 + 2 same as the larger triangle

h = 2

Area = 1/2 2 * 4

Area = 1/2 8

Area = 4

Total Area = 4 + 16

Total Area = 20

Answer:

Area=20

Step-by-step explanation:

A = 20 cm

Answer:

It would be B. 815.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

Answer: 5 hours will take two days.

Step-by-step explanation:

People dont matter here. but what does is hours. 2 hrs a day = 5 days

3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.

When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.

2,5

3,4

4,3

5,2

Step-by-step explanation:

-2<-1<1, so f(-1)=-1-2=-3

Answer:

24

Step-by-step explanation:

3*8 = 24

9514 1404 393

Answer:

  A.  g(x) = √(x -5), x ≥ 5

Step-by-step explanation:

You can use the definition of an inverse function to solve for g(x).

  x = f(g(x))

  x = (g(x))^2 +5

  x -5 = (g(x))^2 . . . . . subtract 5

  √(x -5) = g(x) . . . . . take the square root

The radical contents cannot be negative, so this is only defined for x-5 ≥ 0, or x ≥ 5.

  g(x) = √(x -5),  x ≥ 5