1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is, an even number.
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.

Thank you so much

Answer: im pretty sure its 29 degrees .

Step-by-step explanation: your welcome <3

[tex]\mathsf\pink{♧ANSWER♧}[/tex]

[tex] \mathsf \purple{0.85 = \frac{85}{100} = \frac{17}{20} }[/tex]

85/100 = 17/20

first we write the fraction from of 0.85 which is 85/100

then for simplifying it, we divide both 85 and 100 by 5

then we get to 17/20 which is our final answer

Answer: 44 units

Step-by-step explanation:

Opposite sides of a parallelogram are equal, hence sides

AB = DC

4y-2 = 2y+6

2y=8

y=4

and

BC = AD

2x+2=3x-1

x=3

AB = 4Y-2

y=4

AB=14

BC=2x+2

x=3

BC=8

Perimeter = 2 X (AB + BC)

= 2 X (14+8)

= 44

Answer:

44 units

Step-by-step explanation:

Answer:

6x-3y=12

+3y

6x=3y+12

divide by 3

2x=y+4

-4

y=2x-4

Hope This Helps!!!

Answer:

172 cm

Step-by-step explanation:

The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.  

Answer:

30

Step-by-step explanation:

The distance between 2 points on a number line uses the following equation:

point2 - point1.

In this case we get 15 - (-15) which equals 30.

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Now,

we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,

∠5 + 45° = 180°

∠5 = 180° - 45°

∠5 = 135°

Thus, the value of angle 5 is 135°

Hope that helps. :)

Answer:

Problem #6: 31.8

Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer

The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.

The sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,

80 + 40 + 13x - 5 = 180

120 - 5 + 13x = 180

115 + 13x = 180

subtract 115 from both sides of the equation

115 - 115 + 13x = 180 - 115

13x = 65

divide both sides by 13

13x / 13 = 65 / 13

x = 5

learn more on triangle here: https://brainly.com/question/15268683

Answer:

x=-3

y=-8

I answered your question in the photo sent.

Answer:

4%

Step-by-step explanation:

6000 x 100 / 5000 = 120

after 5 years the total interest is 20%

each year interest = 4%

( 4 x 5 =20 )

Answer:

560

Step-by-step explanation:

To find the total combination you have to multiply the combination of entrees with combination of sides. U have to use the nCr equation to find these separate equations. n is number of items in total of the set and r is the number of items you want to choose from the set.

See the pic below for work

Answer:

  0.772 seconds; 9.228 seconds

Step-by-step explanation:

The given projectile formula with the given numbers filled in is ...

  [tex]\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t[/tex]

We can "complete the square" to solve this for t, the times at which the height is 114 feet.

  16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16

  t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square

  t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5

  t ∈ {0.772, 9.228}

The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.

Answer:

Step-by-step explanation:

A = [tex]\frac{b_{1} +b_{2} }{2}[/tex] × h

~~~~~~~~

[tex]b_{1}[/tex] = 15 in.

[tex]b_{2}[/tex] = 6 + 15 + 6 = 21 in.

h = 18 in.

A = [tex]\frac{15+21}{2}[/tex] × 18 = 324 in.²

Answer:

1 quick fix            2 solving               3 result

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

focus (1 , -7)  ⇒ a = 1  & b = -7

y = 1 ⇒ c = 1

Equation of parabola :

(x - a)² + (y - b)² = (y - c)²

(X - 1)² + (y + 7)² = (y - 1)²

Now, expand.

x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1

x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1

x² - 2x + 1 + y² - 14y +  49  - y² + 2y - 1 = 0

x² - 2x  + y² - y²   - 14y + 2y   + 1 + 49 - 1 = 0

x² - 2x  - 12y + 49 = 0

Step-by-step explanation:

[tex](9x + 24) + 30x = 180[/tex]

[tex]39x + 24 = 180[/tex]

[tex]39x = 156[/tex]

[tex]x = 4[/tex]

Hence，we know

<DEC

[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]

<AEB=<DEC=60

Answer:

The answer is 92

Step-by-step explanation:

1 m = 10,000cm

920,000/10,000=92

Answer:

x = 110 & y = 28

Step-by-step explanation:

The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.

If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.

Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.

So, 100 + (2y + 24) = 180.

Subtract 100 from both sides to get 2y + 24 = 80

Then subtract 24 from both sides to get 2y = 56

And divide both sides by 2 to get y = 28 degrees.

Answer:

Length: 17 in, Width: 12 in

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=58

4w=48

w=12, l=17

Answer:

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, According to the Question :

⠀

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]

⠀

Therefore,

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]

⠀

Therefore,

⠀

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

Answer:

D: 699

E: 582.5

F: 116.5

2. 1398

3. 13048

Step-by-step explanation:

Hope this helps!

Answer:

I think the answer is 3x

Step-by-step explanation:

If i am wrong please correct me

The correct answer is 3x

So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]

We need to find the GCF from the given equation  

[tex]3x(6x^{2} +2xy-3x-y)[/tex]

Hence, here we are getting the common factor as 3x

which the largest common factor in the given equation.

Learn more about Greatest common factor below.

https://brainly.com/question/219464

#SPJ2

Answer:

the answer is 67.5

Step-by-step explanation:

look at the photo