1/2 as long as 5 1/2​

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 + 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

Answer:

8.68 × 10^8

Step-by-step explanation:

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

Answer:

8.68x10^8

Step-by-step explanation:

move 8 times to the left

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: 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:

Y= -4/5

Step-by-step explanation:

I hope this helps!

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:

[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:

√49=±7

x+3=7

x=4

x+3=-7

x=-10

x is 4 and -10

Answer:

-2(x)=-2x

Step-by-step explanation:

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

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:

268

Step-by-step explanation:

Answer:

268

Step-by-step explanation:

 450

- 126

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: 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:

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

Answer:

14

Step-by-step explanation:

Answer:

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

Answer:

true

Step-by-step explanation:

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: 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:

x is equal to 61

y is equal to 29

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:

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:

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

Step-by-step explanation:

Answer:

The angles have measurements 36, 72, 108, 144, and 180.

Step-by-step explanation:

Pentagon has 5 sides and 5 angles.

The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.

3(180)=540 which is the sum of the angles in a pentagon.

So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.

We have the equation 1x+2x+3x+4x+5x=540 to solve.

15x=540

Divide 15 on both sides:

x=540/15

x=36

1x=36

2x=72

3x=108

4x=144

5x=180

The angles have measurements 36, 72, 108, 144, and 180.

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]