What is the area of this parallelogram?

in or in2

Answer:

- 13[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{54}[/tex]

[tex]\sqrt{54}[/tex]

= [tex]\sqrt{9(6)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]

= 3[tex]\sqrt{6}[/tex]

Then

2[tex]\sqrt{6}[/tex] - 5[tex]\sqrt{54}[/tex]

= 2[tex]\sqrt{6}[/tex] - 5 (3[tex]\sqrt{6}[/tex] )

= 2[tex]\sqrt{6}[/tex] - 15[tex]\sqrt{6}[/tex]

= - 13[tex]\sqrt{6}[/tex]

From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.

We know that : Area of a square is given by : Side x Side

Given : Side of the square = 3 cm

⇒  Area of the square = 3 x 3 = 9 cm²

We know that : Area of the triangle = 1/2 x Base x Height

From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm

⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²

Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles

⇒  Surface area of the pyramid = 9 cm² + 4(4.5) cm²

⇒  Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²

Answer : Surface area of the pyramid = 27 cm²

Answer:

268

Step-by-step explanation:

Answer:

268

Step-by-step explanation:

 450

- 126

Answer: C. Nasir was more successful because he had the greater measure of center.

Step-by-step explanation: Just did the assignment in Edugenuity

Answer:

Nasir was more successful because he had the greater measure of center.

Step-by-step explanation:

Answer:

[tex]\text{a. }x=7, x=-7, \\\text{b. }x=16, x=-16, \\\text{c. }x=3, x=-17, \\\text{d. }x=7, x=-7[/tex]

Step-by-step explanation:

For [tex]|x|=y[/tex], we have two cases:

[tex]\begin{cases}x=y, \\x=-y\end{cases}[/tex]

Using this, we can solve all four of the problems:

[tex]\text{a. }|x|=7,\\\begin{cases}x=7, \\x=-7\end{cases}[/tex]

[tex]\text{b. }|2x|=32,\\\begin{cases}x=16, \\x=-16\end{cases}[/tex]

[tex]\text{c. }|x+7|=10,\\\begin{cases}x+7=10, x=\boxed{3,} \\x+7=-10, x=\boxed{-17}\end{cases}[/tex]

[tex]\text{d. }5|x|=35,\\\begin{cases}x=7, \\x=-7\end{cases}[/tex]

Answer:

a) x = 7, x = - 7

b) x = 16, x = - 16

c) x = 3, x = - 17

d) x = 7, x = - 7

Step-by-step explanation:

When you have absolute value on a variable, the variable has two results.

Example:

lxl = 2

x = 2, or x = - 2

a. lxl = 7

x = 7, x = - 7

b. l2xl = 32

l2xl ÷ 2 = 32 ÷ 2

lxl = 16

x = 16, x = - 16

c. lx + 7l = 10

x + 7 = 10

x + 7 = - 10

x + 7 = 10

x + 7 - 7 = 10 - 7

x = 3

x + 7 = - 10

x + 7 - 7 = - 10 - 7

x = - 17

d. 5lxl = 35

5x = 35

5x = - 35

5x = 35

5x ÷ 5 = 35 ÷ 5

x = 7

5x = - 35

5x ÷ 5 = - 35 ÷ 5

x = - 7

Answer: 200 ounces

Step-by-step explanation:

One pound is the equivalent of 16 ounces.

To convert 12.5 pounds to ounces therefore, one needs to multiply 12.5 by 16 ounces:

= 12.5 * 16

= 200 ounces

The package to be mailed weighs 200 ounces when converted from pounds.  

Answer:

200 ounces

Step-by-step explanation:

we need to convert 12.5 pounds to ounces

1 pound = 16 ounces

16 x 12.5 = 200 ounces

Answer:

1560 in^2

Step-by-step explanation:

10x22 = 220 bottom rectangle

1/2(10)(24) = 120 side triangle

22x26 = 572 front rectangle

24x22 = 528 back rectangle

220+120+120-572+528= 1560

Answer:

14

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Given :-

We need to find the value of sin(β) in the given triangle . We know that the ratio of sine is ,

[tex]:\implies[/tex] sin(β) = p/h

[tex]:\implies[/tex] sin(β) = 4/5

Answer:

here are the coordinates to use to graph.

(0,6)

(4,5)

Step-by-step explanation:

put a dot on those coordinates, then draw a line to make the two points connect.

Answer:

I have a graphing calculator so i used that.

Step-by-step explanation:

Included is the graph (on 10 x 10 axis) and the table

hope this helps,

<3 Austen and Addie

The correct answer would be:

B. The number of pages in each book varied more last summer than this summer.

Step-by-step explanation:

I was doing my test and this was the correct answer. Sorry if this is too late for you.! I hope you have a great day.

The inference that can be drawn from the data is the number of pages in each book varied more last summer than this summer.

Range can be used to measure variance in a data set. Range is the difference between the largest number and the smallest number. The larger the difference, the greater the variance.

Range= largest number - smallest number

Range of pages read this summer  = 180 - 150 = 30

Range of pages read last summer  =220 - 140 = 80

To learn more about variance, please check: https://brainly.com/question/5106089

Answer:

11.25

Step-by-step explanation:

Since AB and CD  are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B.  Therefore the two triangles are similar by the AA postulate.  Now, the corresponding sides are in proportion

Since AE ↔ DE and AB ↔ CD

So, AE/CD = AB/CD

AE/5 = 9/4

AE = 9(5)/4

     = 45/4  = 11.25

Answer: Point C.

Step-by-step explanation:

Point B represents the quotient of 4+3i/-i.

Complex numbers are the numbers that are expressed in the form of

a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”.

Given complex number

[tex]\frac{4+3i}{-i}[/tex]

= [tex]\frac{4+3i}{-i} \times \frac{i}{i}[/tex]

= [tex]\frac{4i+3i^{2} }{-i^{2} }[/tex]

= [tex]\frac{4i+3(-1) }{-(-1)}[/tex]

= [tex]4i-3[/tex]

= [tex]-3+4i[/tex]

Point B represents the quotient of 4+3i/-i.

Find out more information about complex number here

https://brainly.com/question/501218

#SPJ2

Answer:

Step-by-step explanation:

-12

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-6x = 72}\\\\\huge\text{\underline{\underline {DIVIDE -6 to BOTH SIDES}}}\\\\\large\dfrac{-6\mathsf{x}}{-6} = \dfrac{72}{-6}}\\\\\large\textsf{CANCEL out: }\large\dfrac{6}{6}\large\text{ because that gives you 1}\\\\\large\text{KEEP: }\large\dfrac{72}{-6}\large\text{ because that gives you the answer for x}\\\\\large\text{NEW EQUATION: x = }\large\dfrac{72}{-6}\\\\\large\text{SIMPLIFY ABOVE}\\\\\boxed{\boxed{\huge\textsf{Therefore, your answer is: x = -12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

30 degree

Step-by-step explanation:

acb is 60 equilateral triangle

then dac angle is 120 double of centre angle

triangle dac is isoceles so 2 into angle acd=180-120

then acd =30

Answer:

x is equal to 61

y is equal to 29

Answer:

-2(x)=-2x

Step-by-step explanation:

-2(x)=-2*x=-2x

Answer:

[tex]true \: \\ {x}^{2} - 14x + 49 = {(x - 7)}^{2} [/tex]

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

18<n

Answer:

Y= -4/5

Step-by-step explanation:

I hope this helps!

Answer:

3 now okay i help you now Happy now happy

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

---------------------

hope it helps...

[tex] \implies \sf{(x)(4x) = (4) \: (9)}[/tex]

[tex] \implies \sf{ \frac{4 {x}^{2} }{4} } = \frac{36}{4} [/tex]

[tex] \implies \sf{ \sqrt{ {x}^{2} } = \sqrt{9} }[/tex]

[tex] \sf \boxed {x = 3}[/tex]

Thank you

Hope it helps uh :)

Answer:

8.68 × 10^8

Step-by-step explanation:

--------------------

Answer:

8.68x10^8

Step-by-step explanation:

move 8 times to the left

Answer:

A equals 105 degrees, option 2

Step-by-step explanation:

7x + 5x gives 180. 7x and 5x lie on a line so they form a linear pair. Their sum equals 180 degrees:-

7x + 5x = 180

12x = 180

x = [tex]\frac{180}{12}[/tex]

x = 15

Since x is 15, we can find the lengths of 7x and 5x.

7x would be 7 x 15 = 105

5x would be 5 x 15 = 75

'A' is equal to 7x since they are vertically opposite angles.

Since 7x is 105 degrees, then A would be 105 degrees as well.

Answer:

Sorry i don't get this at all. what grade is this ?!!?!?!?

Step-by-step explanation:

Answer:

(x + 7)^2 = 64

Step-by-step explanation:

x^2 + 23x – 19 = 9x - 4

x^2 + 23x - 9x = -4 + 19

x^2 + 14x = 15 = 0

Completing the square:

(x + 14/2)^2 - (14/2)^2 = 15

(x + 7)^2 - 49 = 15

(x + 7)^2 = 64