Is a trapezoid a parallelogram?

Answer:

Step-by-step explanation:

[tex]\left(6-5x^2\right)\left(x^4-x^3\right)\\\\\mathrm{Apply\:FOIL\:method}:\\\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=6,\:b=-5x^2,\:c=x^4,\:d=-x^3\\\\=6x^4+6\left(-x^3\right)+\left(-5x^2\right)x^4+\left(-5x^2\right)\left(-x^3\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\\\=6x^4-6x^3-5x^4x^2+5x^3x^2\\\\Simplify\\\\=-5x^6+5x^5+6x^4-6x^3[/tex]

Given:

Trapezoid with bases 10 and 20, and height of the trapezoid is 6.

To find:

The area of the trapezoid.

Solution:

We know that the area of a trapezoid is:

[tex]A=\dfrac{1}{2}h(b_1+b_2)[/tex]

Where, h is the height of the trapezoid and [tex]b_1,b_2[/tex] are bases of the trapezoid.

Putting [tex]h=6, b_1=10,b_2=20[/tex] in the above formula, we get

[tex]A=\dfrac{1}{2}(6)(10+20)[/tex]

[tex]A=3(30)[/tex]

[tex]A=90[/tex]

The area of the trapezoid is 90 sq units. Therefore, the correct option is A.

Answer:

Step-by-step explanation:

As the name Karen is chosen 29 out of 111 times,

the experimental probability of the name Karen being​ chosen = 29/111

As five different names were put into a hat,

the theoretical probability of one name like Karen being​ chosen = 1/5

If the number of names in the hat were different, the experimental probability will still depend on the outcomes. If it is 29 out of 111 times, then the probability stays the same.

But the theoretical probability will be 1 out of the number of names. So it will change.

Answer:

Step-by-step explanation:

P(experimental) = outcome = 29/111

P(theoretical) = P(equal chance) = 1/5

P(expt) no change w/ no. of names

P(theo) changes w/ no. of names

Answer:

1

Step-by-step explanation:

since the two numbers are the same up and down so the answer will be always 1

Answer:

The area is 64squared units

Step-by-step explanation:

Given

[tex]E = (4,4)[/tex]

[tex]F = (-4,4)[/tex]

[tex]G = (-4,-4)[/tex]

[tex]H = (4,-4)[/tex]

Required

The area of the polygon

First, we plot the given coordinates on a plane (See attachment)

From the attachment, we can see that the 4 coordinates make up a square.

Where

[tex]EF = FG = GH = GE = 8\ units[/tex]

So, the area is:

[tex]Area = EF^2[/tex]

Substitute [tex]8[/tex] for [tex]EF[/tex]

[tex]Area = 8^2[/tex]

[tex]Area = 64[/tex]

Hence, the area is 64 squared units

Answer:

17+19i

Step-by-step explanation:

[tex](3-2i)(1+7i) =3+21i-2i-14i^2=3+19i+14=17+19i[/tex]

Answer:

B.  0.96x25

Step-by-step explanation:

Set up an is/of=%/100 equation. Then 96/100=x/25. This is the same as 0.96 which is 96/100 multiplied by 25.

Answer:

2 dollars per pound

Step-by-step explanation:

10/5=2

Answer:

2 Dollars per pound

Step-by-step explanation:

you can divide $10 by how many bags of apples you bought to get 2 dollars per pound

Answer:

no

Step-by-step explanation:

Answer:

[tex]Surface \ area = 2 (LB + BH + HL) = 2 ((4\times 8)+(8 \times 6) + (6 \times 4))[/tex]

                                                     [tex]= 2(32 + 48 + 24)\\=2(104) \\=208 cm^2[/tex]

[tex]Volume = L \times B \times H = 4 \times 8 \times 6 = 192cm^3[/tex]

Answer:

Your answer is C

Step-by-step explanation:

Answer:

idrk maybe try using a different app if you don't get answers

A. Yes

B. Yes.

C. No.

D. Yes

E. No

F. Yes

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

Answer:

80 cups

Step-by-step explanation:

1 gallon = 128 oz

5x128= 640 oz

640/8=80

Answer:

82

Step-by-step explanation:

you multiply 4(25)

which is 100

and then (9)2

which is 18

and then subtract 18 from 100

which gives you 82

Answer:

1090

Step-by-step explanation:

Hope it helps u

mark brainlist pls

Answer:

(2) 12√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 4√x

g(45) is x = 45 for function g(x)

Step 2: Evaluate

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

Answer:

four out of 100 (4%)

Step-by-step explanation:

Answer:

x=48

Step-by-step explanation:

You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)

Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.

9514 1404 393

Answer:

  (x, y) = (-11, 4)

Step-by-step explanation:

You can subtract 3 times the second equation from the first to eliminate y.

  (7x +9y) -3(x +3y) = (-41) -3(1)

  4x = -44

  x = -11

Substituting into the second equation gives ...

  -11 +3y = 1

  3y = 12

  y = 4

The solution is (x, y) = (-11, 4).

Answer:

10x + 6

Step-by-step explanation:

3x - 5 + 7x + 11

10x - 5 + 11

10x + 6

Answer:

-2

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

x + 1 > 3

Subtract 1 from both sides

x + 1 - 1 > 3 - 1

x > 2