a cube has edge length 3 in. What is its volume

We are given:

To Find: ∠E

Concept Used:

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

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Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

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Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

Answer:

See attached pdf for answer

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

3*9+x=27-x [9^1=9]

27+x=27-x

27-27= x+x

2x=0

x=0

Answer:

3.4 miles and 5.472 kilometers

Answer: $‭10,278.9‬0

Step-by-step explanation:

FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.

The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.

Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)

= ‭7,886.4‬0 + ‭2,392.5‬0

= $‭10,278.9‬0

Answer: 12:9

Step-by-step explanation:

He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9

And it is also 12:9 is because they ask milk chocolate TO almond chocolate .

Answer:

Yes only A

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 dollars

Answer:

$2.00

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

[tex]{\boxed{\sf Area=LB}}[/tex]

[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]

[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]

Answer:

86.96%

Step-by-step explanation:

s2 = a2 / n  

a2 =  4.34782608696 if just 1/1 flavour 400/400 was the case.

We are asked to account for 5 flavours 4.34782608696/5

Z test was  0.86956521739 for red candies

s2 = a2/n

a2 = 0.86956521739/1

s2 = 0.86956521739/1  

s2 = 0.87 hundredth place

Percentage  0.86956521739 x 100 = 86.96% to 100th place

9514 1404 393

Answer:

  1/192

Step-by-step explanation:

The properties of exponents useful here are ...

  a^0 = 1 . . . . for a ≠ 0

  a^-b = 1/a^b

__

  [tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]

Step-by-step explanation:

5500×35=192500

/100=1925 $

Answer:

third and fifth

Step-by-step explanation:

Answer:

7,084 cm^3

Step-by-step explanation:

To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.

Answer:

7,084 cubic cm

Step-by-step explanation:

V = 23 x 28 x 11

Answer: The answer should be 0.125

Step-by-step explanation:

Answer:

[tex]\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20} = 2.26[/tex]

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Answer:

1460 Days

Step-by-step explanation:

365*4

Answer:

1460 days.

Step-by-step explanation:

Answer:

1.3333

Step-by-step explanation:

1.3333

Conversion Table

miles per hour to miles per minute

mph mi/min

80 1.3333

90 1.5

100 1.6667

The speed of this:

70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

Answer:

0.5440

Step-by-step explanation:

Given that ;

          Brand 1 : Couple      Brand 2: Sedan        Total

                           100                            200              300

                           240                              85              325

            Total  :  340                              285             625

The probability that a vehicle selected at random is a couple given that it was brand 1 will be;

The probability that a selected vehicle is a couple is  340/625

=0.5440

Answer:(9x-7) (5x+9)

Correct Question :-

Given :-

We need to find :-

Solution :-

Using proportion ,

By means & extremes ,

=> - 7x = - 21 × 9

=> x = ( - 21 × 9 ) / - 7

=> x = 3 × 9

=> x = 27

Hence , when y = 9 → x = 27

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

Complete Question

The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.

a) s = s equals StartFraction L A Over pi r EndFraction.

b) s = s equals StartFraction pi r Over L A EndFraction.

c) s = LAr

d) r = r equals StartFraction L A Over pi s EndFraction.

e) r = LAs

Answer:

a) s equals StartFraction L A Over pi r EndFraction.

d) r = r equals StartFraction L A Over pi s EndFraction.

Step-by-step explanation:

The formula for the Lateral Surface Area of a right cone is given in the question as:

LA = πrs

Where

r is the radius of the base and s is the slant height of the cone.

From the options given,

We can make s the subject of the formula.

Hence:

Making s the subject of the formula

LA = πrs

Divide both sides by πr

s = LA/πr

Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.

Step 2

Making r the subject of the Formula

LA = πrs

Divide both sides by πs

r = LA/πs

Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.

Answer:

The answer is A and D.

Step-by-step explanation:

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