Cutting equilateral triangle BFC out of square ABCD and translating it to the left of the square creates the shaded figure ABFCDE. The perimeter of square ABCD was 48 inches. What is the perimeter, in inches, of ABFCDE?

Answer:

3 x 10^-1 km per second.

Step-by-step explanation:

A scientific notation includes c x 10^n. c is a number between 1-9, and n is the nth power of 10.

If we move the decimal in 0.3 to the right by 1 place, we can get "c", which will be 3. Since we have moved the decimal to the right, each place moved right counts as -1 for n.

So, the answer is 3 x 10^-1 km per second.

Answer:

y + 4 = (x - h)^2

Step-by-step explanation:

"vertex form" is y - k = a(x - h)^2.  Here, the vertex (h, k) is (-3, -4), and so we have:  

y + 4 = a(x + 3)^2.  To find the coefficient a, substitute -1 for x and 0 for y:

0 + 4 = a(-1 + 3)^2, or

4 = a(2^2).  Thus, a = 1, and the desired equation is

y + 4 = (x - h)^2

Answer:

Step-by-step explanation:

√(c^5) is equivalent to c^(5/2) (the last answer choice).

Answer:

a = (15-11b)/7

Step-by-step explanation:

19a + 11b = 12a + 15

Subtract 12a from each side

19a-12a + 11b = 12a-12a + 15

7a +11b = 15

Subtract 11b from each side

7a+11b-11b = 15 -11b

7a = 15-11b

Divide by 7

7a/7 = (15-11b)/7

a = (15-11b)/7

Answer:

A = (15-11b)/7

Step-by-step explanation:

Answer:

The answers are as follows.

Step-by-step explanation:

Expressions:

Computation:

Product of 2 and x is 14

2(x) = 14

x = 7

6 added with a number gives 14

6+x = 14

x = 8

The product of six and a gives 12

6(a) = 12

a = 2

12 divided by y gives 2

12 / y = 2

y = 6

6 subtract from a number and get 12

x - 6 = 14

x = 20

Answer:

[tex]\boxed{1}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1 \times 1&2 \times 1\\3 \times 5&4 \times 5 \end{array}\right][/tex]

Answer:

The perimeter of the picture frame is 38.4 in.

The area of the picture frame is 92.6 in.².

Step-by-step explanation:

The given information are;

Perimeter of side piece of picture frame = 24 inches

Length of side piece = L

Width of side piece = W

Perimeter of side piece = 2 × (L + W) = 24

∴ L + W = 24/2 = 12 inches

Dimension of picture frame = Square frame with side length s

Number of side piece in picture frame = 4

Given that the length L > the width W, we have

Side length of wooden frame = L

Also, where the side piece are placed side by side, we have;

Side length of wooden frame = 4 × W

Therefore;

4 × W = L

Which gives

L + W = 12 inches

4 × W + W = 12 inches

W×(4 + 1) = 5·W = 12 inches

W = 12/5 = 2.4 inches

L = 4 × W = 4 × 12/5

L = 48/5 = 9.6 inches  Side length of wooden frame, s

The perimeter of the picture frame = 4 × s = 4 × 9.6 = 38.4 in.

The area of the picture frame = s × s = 9.6 × 9.6 = 92.6 in.².

Step-by-step explanation:

2 digit numbers are beetween 10 and 99

We are looking for numbers in wich the unit digits is less than the ten digit

we can make notice something about this numbers

0 is the smallest postive integer so all these numbers satisfy the condition

so we have now 9 numbers

here is another remark :

numbers from 91 to 99 satisfy the condition except 99

so here are 8 other numbers

numbers from 80 to 89 satisfy the condition except 88 and 89

so here are 7 other numbers

the numbers that satisfy the  keeps decreasing by 1 each time

so the total number of numbers that satisfy the condition

9+8+7+6+5+4+3+2+1= 45

Answer:

-6x + 54y + 4.83 xy + 9.32

Step-by-step explanation:

line up like terms next to each other:

7x - 13 x + 18y + 36y + 4.83xy + 9.32

solve:

-6x + 54y + 4.83xy + 9.32

Answer:

I hope it will help uh......

Answer:2

26x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

Answer:

[tex]3^{14}[/tex]

Step-by-step explanation:

Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]

To simplify the expression, we apply the addition law of indices.

Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:

[tex]a^x \times a^y=a^{x+y}[/tex]

Therefore, since we have the number 3 as the same base in all the terms:

[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]

Answer:

32

Step-by-step explanation:

41+x=73

x=73-41

x=32

Answer:

3

Step-by-step explanation:

because its equal to the other side that says 6

x + 3 = 6

x = 6 - 3

x = 3

hope this is correct

Answer:

1 hour

Step-by-step explanation:

The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.

The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.

The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.

Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.

So working together, it will take them 1 hour to eat 1 sheep.

Answer:

1 hour

Step-by-step explanation:

1/2 + 1/3 + 1/6 = 1

Answer:

Rotation

Step-by-step explanation:

when you rotate a point it swaps the numarical values x⇄y as well as in some cases it changes its the symbol from negative to positive depending on the quadrant, in this case, it started in quadrant one and ended in quadrant three.

Answer:

  A) True

Step-by-step explanation:

The ordered pair for the first expression is ...

  y = f(x)

  -3 = f(1)

  (x, y) = (1, -3)

The ordered pair for the second expression is ...

  y = f^-1(x)

  1 = f^-1(-3)

  (x, y) = (-3, 1)

The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.

Answer:

x = -4 , -2

Step-by-step explanation:

I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.

In order to do that, you would have to find the multiples of 1 (from x) and 8.

We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.

After doing that, you have to put them like this:

(x + 4)(x + 2)

This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.

(x + 4)(x + 2)=0

Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)

Answer:

x is -2 and -4

Answer:

The hikes ordered from the least to the greatest number of animals seen per kilometre

Canyon Creek < Wooded Marsh < Rivers Edge

2.33 < 2.50 < 2.67

Step-by-step explanation:

Question Properly written

You went on three hikes. On each hike, you saw a different number of animals:

Hike | Length of hike (km) | Number of animals seen

Rivers Edge | 3 | 8

Wooded Marsh | 8 | 20

Canyon Creek | 15 | 35

Order your hikes by number of animals seen per kilometer from least to greatest.

Solution

Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)

Rivers Edge

Number of animals seen = 8

Length of hike in kilometres = 3

Number of animals seen per kilometre = (8/3) = 2.67

Wooded Marsh

Number of animals seen = 20

Length of hike in kilometres = 8

Number of animals seen per kilometre = (20/8) = 2.50

Canyon Creek

Number of animals seen = 35

Length of hike in kilometres = 15

Number of animals seen per kilometre = (35/15) = 2.33

Ordering the hikes by number of animals seen per kilometer from least to greatest.

2.33 < 2.50 < 2.67

Canyon Creek < Wooded Marsh < Rivers Edge

Hope this Helps!!!

Answer:

nun

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

Answer:

seven hundred ninety-five billion eight hundred million nine hundred thirteen thousand seven hundred eighty-nine

Answer:

14.9

Step-by-step explanation:

Given

149

Required

Scale factor of ⅒

The result of a scale factor is the product of an expression by its scale factor.

The result of 149 scale factor of 10 is the product of 149 by 10

In other words;

149 * ⅒

= (149 * 1)/10

= (149)/10

Remove bracket

= 149/10

= 14.9

Hence, 149 scaled down by a factor of ⅒ is 14.9

Answer:

  (x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

  2x = -4

  x = -2 . . . . . divide by 2

__

Putting this in the first equation, we can write an expression for z:

  -2 +y +z = 2

  z = 4 -y . . . . . . . add 2-y

__

Putting this in the second equation, we have ...

  4(-2) +5y +(4 -y) = 12

  -4 +4y = 12

  -1 + y = 3 . . . . . divide by 4

  y = 4 . . . . . . . . add 1

__

Substituting this into the equation for z, we have ...

  z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

Answer:

X+y+z=2 equation 1

4x + 5y + z = 12 equation 2

2x = -4 equation 3

Step-by-step explanation:

step 1 :

from equation 3 : 2x = -4

x= -4/2 = -2

step 2:

sub value x = -2 in equation 1

y + z = 4 _______ equation 4

step 3:

sub value of x in equation 3

5y + z = 20 _________ equation 4

solve equation 3 and 4

y + z = 4

5y + z = 20 sign change

__(-)_________

-4y = -16

__________

y = 4

substitute x = -2 & y = 4 in equation 1

z = 0

Hence x = -2 , y = 4 & z = 0

Answer:

36pi Units^3

Step-by-step explanation:

Slanted (oblique) cylinders have the same volume as standard (right) cylinders.  

V=pi r-squared h

V=pix3x3x4

V=36 pi Units cubed

Answer:

The correct answer is 36 pi units^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The formula for external arc measures ia 1/2(x-y) where x is 85 and y is the smaller arc. Knowing the actual angle measurement, we can see that we have 1/2(85 - y) = 20; y = 45. Answer A is your answer.

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2

Answer:

That right, no picture, no answer

Step-by-step explanation:

Answer: The Awnser to this equation is C, AE is equal to 25

Answer:

C. 25cm

Step-by-step explanation:

So D and B are too long even longer than AD so that brings us to A or C.

A is too small.

Thus, by logic and reasoning C. 25cm is the correct answer.

Answer:

x=1/5n

a=1/5(90)*100

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.