AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons

Answer:

[tex]3\frac{3}{4}\: \mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.

The box has a height of 3 boxes, a length of 5 boxes, and a width of 2 boxes. Since each box is 1/2 cm long, we can deduce the prism has a:

Therefore, the volume of the prism is

[tex]V=1.5\cdot 2.5\cdot 1,\\V=3.75=\boxed{3\frac{3}{4}\: \mathrm{cm^3}}[/tex]

Answer:

1/64

Step-by-step explanation:

When dividing numbers with exponential values (that have the same base), you subtract the exponential values. 4 - 10 is -6, so the answer would be 2^-6. However, that is not simplified yet. If the exponent is negative, the expression turns into a fraction. 1/2^6 can also be written as 1/64, which is the final answer.

Answer:

JM = 18 units

Step-by-step explanation:

∆MHN and ∆JKH are similar (by A.A.A axiom)

so, their sides are proportional

i.e.

(JM+18)/(20+15) = 18/15

or, JM + 18 = 540/15

or, JM = 36-18

hence, JM = 18

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

Answer:

I think it is 2 points for this .

Answer:

1000 cm

Step-by-step explanation:

Recall that 100 cm = 1 m.

This results in the conversion factor    100cm

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

                                                                   1 m

Then 10 m times the conversion factor shown above yields 1000 cm

Step-by-step explanation:

this might help you out..

Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

2

Step-by-step explanation:

2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2

Hope this helps

Answer:

10 pounds

Step-by-step explanation:

165 ounces = 10 pounds

Answer:

10 pounds, 5 ounces

Step-by-step explanation:

The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.

Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.

Oh shucks man, I'm sorry bout that

Answer:

En el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Step-by-step explanation:

En un videojuego en el nivel 1 hay 2 pruebas.

El número de pruebas que hay que superar es el doble de las del nivel anterior. Entonces en el nivel 2 se deben superar 4 (2 pruebas del nivel 1*2, el doble) pruebas, mientras que en el nivel 3 hay que superar 8 pruebas (4 pruebas del nivel 2*2, el doble).

Una sucesión es una secuencia ordenada de números. Si observamos en este caso, la sucesión que se forma para calcular el número de pruebas es 2ⁿ, donde n es el número de nivel en el videojuego.

Entonces, por ejemplo, en:

Entonces, para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁵= 32 pruebas

mientras que para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁹= 512 pruebas

Entonces, en el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Sabiendo como cambia el número de pruebas por nivel, veremos que en el nivel 5 hay 32 pruebas y en el nivel 9 hay 512 pruebas.

Sabemos que la cantidad de pruebas que hay que superar en cada nivel es el doble de las que hay en el nivel anterior.

Entonces, esto es una serie geometrica, que se puede escribir como:

[tex]A_n = A_1*2^{n - 1}[/tex]

Donde A₁ es la cantidad de pruebas en el primer nivel, que sabemos que son 2.

Entonces escribimos:

[tex]A_n = 2*2^{n-1} = 2^n[/tex]

En el nivel 5 tenemos n = 5, entonces la cantidad de pruebas que hay en e nivel 5 esta dado por:

[tex]A_5 = 2^5 = 32[/tex]

Es decir, hay 32 pruebas en el nivel 5.

Para el nivel 9 tenemos n = 9, entonces hay:

[tex]A_9 = 2^9 = 512[/tex]

Hay 512 pruebas en el nivel 9.

Sí quieres aprender más. puedes leer:

https://brainly.com/question/18790599

Answer:

24 ft

Step-by-step explanation:

The area of a square is given by

A = s^2

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The perimeter of a square is

P = 4s

P = 4(6)

P = 24

Answer:

5 shirts

Step-by-step explanation:

Y=12x+3 equation 1

y=8x+23 equation 2

12x+3=8x+23 substituting y value will cause equations to equal

4x=20

x=5 shirts

check answer

y=12x+3

y=12(5)+3

y=60+3

y=63

y=8x+23

y=8(5)+23

y=40+23

y=63

Answer:

[tex]x^4+2x^3+2x^2+2x+1[/tex]

Step-by-step explanation:

Given that,

[tex](x+1)^2 . (x^2+1) = 0[/tex]

We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]

So,

[tex](x+1)^2=x^2+1+2x[/tex]

So,

[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]

So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]

Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

Answer:

Step-by-step explanation:

First find the first radius

c=88cm

=2*22/7*r=88cm

=r=14cm

22/7 (pie as common)(R1^2+R2^2=637cm)

14^2+R2^2=637cm

196+R2^2=637cm

R2^2=637-196=441

R2=√441

R2=21

first radius =14cm

second radius  =21cm

Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree

Answer:

Marked price = Rs 800

Step-by-step explanation:

Let the marked price of the cap be Rs.“x”.

Discount = 20%

VAT = 13%

VAT amount = Rs. 83.20

We know,

      Discount = Marked price – Selling Price

        ⇒ Selling price = Marked price – discount

The price after giving a discount or Selling price:

                                                                          [tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]

VAT amount = VAT% of Selling Price

       [tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]

Thus, the marked price of the cap is Rs. 800.

Answer:

500

Step-by-step explanation:

3000 divided by 6

Hope this helped, sorry if I'm wrong!

Answer: 384

Step-by-step explanation:

Subtract 3,000 by 696 to see how many words he has left.

3,000 - 696 = 2,304

Then divide 2,304 by 6.

2,304 ÷ 6 = 384

Your answer is 384 words each day.

Answer:

40

Step-by-step explanation:

A +  B=75

A + C = 61

B = 5/3 *C

A+C * 5/3 = 75 then we got the answer

Answer:

A = 40

Step-by-step explanation:

A+B = 75

A+C = 61

Subtract

A+B = 75

-A-C = -61

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

B-C = 14

B:C

5:3

for every 5B there are 3C

Replace B with 5/3 C

5/3C-C = 14

2/3C = 14

C = 21

A+C = 61

A +21 = 61

A = 40

Answer:

-5

Step-by-step explanation:

f(x) = 5 cos ( 3x)

f(60)  means let x = 60

f(60) = 5 cos ( 3*60)

        = 5 cos (180)

        = 5 (-1)

       = -5

Answer: -5

Step-by-step explanation:

5cos 3x60

5cos 60

5 x (-1) = -5

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Answer:

Step-by-step explanation:

a:0

B:1

C:-1

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.