Find the image of (1, 2) after a reflection about the x-axis followed by a reflection about the y-axis

Answer:

Perimeter =  28·√2 + 24 feet

Step-by-step explanation:

The dimensions of the initial sheet of plywood are;

The length of the sheet of plywood = 25 ft.

The width of the sheet of plywood = 14 ft.

The shape cut from each corner of the sheet of plywood  = A right triangle

The leg length of each of the cut out right triangles = 7 ft.

The number of leg lengths of the right triangle cut from the length side of the initial sheet of plywood = 2

The length of the parallel sides of the remaining hexagonal piece of plywood = Initial length of the plywood - 2 × The leg length of the cut out right triangle

∴ The length of the parallel sides of the remaining hexagonal piece of plywood = 26 ft. - 2 × 7 ft.  = 12 ft.

The other side length of the remaining hexagonal piece of plywood = The hypotenuse side of the cut out right triangle

The hypotenuse side of the cut out right triangle = √((7 ft.)² + (7 ft.)²) = 7·√2 ft.

∴ The other side length of the remaining hexagonal piece of plywood = 7·√2

The number of side lengths in the remaining hexagonal piece of plywood = 4

The perimeter of the remaining hexagonal piece of plywood = 2 × The length of the parallel sides + 4 × The other side lengths

∴ The perimeter of the remaining hexagonal piece of plywood = 2 × 12 ft. + 4 × 7·√2 = (28·√2 + 24) ft.

The perimeter of the remaining hexagonal piece of plywood = (28·√2 + 24) feet

Answer:

I don't understand the question

Answer:

Oh cool!

Step-by-step explanation:

Answer:

If you were to fully simplify it would technically be 1/2 as 4/8 is correct but can be further rounded down

Step-by-step explanation:

1/8 x 4 = 4/8

4/8 ÷ 4 = 1/2

Answer:

Step-by-step explanation:

Solve inequality:

Highlight the points to the right from -5

Answer:

[tex]n>-5[/tex]

Step-by-step explanation:

−105<−7(5−2n)

Divide both sides by −7. Since −7 is negative, the inequality direction is changed.

[tex]\frac{-105}{-7}[/tex] > 5−2n

Divide −105 by −7 to get 15.

15>5−2n

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

5−2n<15

Subtract 5 from both sides.

−2n<15−5

Subtract 5 from 15 to get 10.

−2n<10

Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

n>[tex]\frac{10}{-2}[/tex]

Divide 10 by −2 to get −5.

n>−5

Answer:

the other leg of the angle will equal 8

Answer:

The other leg is the only one that will equal 8

Step-by-step explanation:

Answer:

either 100 or 1,000

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

100+100-100x100/100

100+100-100x1

200-100x1

100x1

100

Are they a system or separate inequalities? I'm not sure but either way I will solve each:

[tex]\begin{bmatrix}-3x+5>20\\ \frac{1}{2}x-12<6\end{bmatrix}[/tex]

[tex]-3x+5>20,\\-3x>15,\\x<-5[/tex]

[tex]\frac{1}{2}x-12<6,\\\frac{1}{2}x<18,\\x<36[/tex]

Now if it were a system, the solution would be x<-5, since x<36 is the restriction. Otherwise just take x<-5 and x<36 independent of each other.

Answer:

x< -5, x<36

Step-by-step explanation:

[tex]-3x+5>20} \atop {\frac{1}{2}x-12<6 }} \right. \\[/tex]

Start with the first equation and solve for x

-3x+5>20

     -5   -5

-3x>15

/-3    /-3

x< -5

Do the second:

[tex]\frac{1}{2}x-12<6[/tex]

     +12    +12

[tex]\frac{1}{2}x[/tex]<18

/0.5    /0.5

x< 36

Answer:

A) 24

B) 24

Step-by-step explanation:

A) equilateral triangle means that all sides are equal

so each side is = 24 because the perimeter = 72

72/3= 24

B) 1 side = 24 and they gave you that 10+7h = 24

so h = 2

so hight of triangle = 2

Area = 1/2(b)(h)

so 24(2)(0.5) = 24

_____

Have fun, don't forget to brilliant ❤

Answer:

14°

Step-by-step explanation:

Both angles are vertical angles and are opposite, hence, from angle theorem., vertically opposite angles are equal :

Angle EGD = Angle FGH

Angle EGD = (4x + 8)

Angle FGH = 64

HENCE,

4x + 8 = 64

4x = 64 - 8

4x = 56

x = 56/4

x = 14°

Answer:

A

Step-by-step explanation:

i hope this helps

Answer:

The answer is 100ft2 I think

Answer:

no

Step-by-step explanation:

you can cross-multiply and see if you get the same products

(2/1 ÷ 8/3) / (2/3 ÷ 6/1)

2/1 · 6/1 ≠ 8/3 · 2/3

12 ≠ 16/9

Answer:

Step-by-step explanation:

-4 and 3

Answer:

5 + i

Step-by-step explanation:

Answer:

5+i is the answer

Step-by-step explanation:

cause 6-4=2-7=5+i

Answer:

$5.94

Step-by-step explanation:

0.75 = 3/4

you can do 7.92*0.75 = 5.94 or do 7.92/4 = 1.98 and then 1.98*3 = 5.94 to find the total amount, whichever works better :)

Answer:

40 questions were on the test.

Step-by-step explanation:

40%=0.4

0.4x=16

x=16/0.4

x=40

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  [tex]a_1=2\\a_n=a_{n-1}^2-2[/tex]

Using this to find a4, we get ...

  [tex]a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}[/tex]

The correct statement is the point (1, 4) means the 1st term of the sequence is 4. The point (2,3) means the 2nd term and so on

Given the function that represents a given given graph a f(x) = -x + 5

For the first term of the sequence, x = 1. Substitute into the function;

f(1) = -1 + 5

f(1) = 4

This shows that the point (1.4) means the 1st term of the sequence is 4.

For the second term, x = 2

f(2) = -2 + 5

f(2) = 3

This shows that the point (2, 3) means the 2nd term of the sequence is 3.

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Answer:

8x + 22

Step-by-step explanation:

Answer:

a) Exterior Angle Theorem

b) x = 109°

Step-by-step explanation:

For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.

(I had used the HSEAT to explain this.)

Answer:

that looks hard HAHSJAHD

Step-by-step explanation:

Answer:

Step-by-step explanation:

r and h are the radius and height

Volume = πr²h = πr²4 = 2247

r ≈ 13.4 cm

Answer:

Corresponding: The top left, The bottom left

Alternate interior: Bottom right

Alternate exterior: Top middle

None of these: Top right

Step-by-step explanation:

Answer:

$512.5

Step-by-step explanation:

Given data

P= $500

R=2.5%

T= 1 year

The compound interest formula is

A=P(1+r)^t

substitute

A=500(1+0.025)^1

A=500(1.025)

A=500*1.025

A=$512.5

Hence the balance is $512.5

Answer:

The GCF is 8

Step-by-step explanation:

The approximate volume of a cone with the same diameter and height as the cylinder is 131.95 cm³.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Radius = diameter/2 = 6/2 = 3 cm.

By substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of cylinder, V = π × 3² × 14

Volume of cylinder, V = π × 9 × 14

Volume of cylinder, V = 395.8 cm³.

For the volume of this cone, we have:

Volume of cone, V = 1/3 × πr²h

Volume of cone, V = 1/3 × 395.8

Volume of cone, V = 131.95 cm³.

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Answer:

68719476736

Step-by-step explanation:

Answer:

687,194,76,736

Step-by-step explanation:

all u have to do is multiply 4 by 18 times no like this 4x18 cuz that = 72

u gotta do 4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4x4= 687,194,76,736