Is 5 to the 10th power divided by 5 to the 5th power equal to 5 to the 2nd power?

Answer:

5

Step-by-step explanation

20 divided by 4 equals 5

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

Answer: 40%

Step-by-step explanation:

Answer:0

Step-by-step explanation:3b(-27 + 9b) = 0

(-27 * 3b + 9b * 3b) = 0

(-81b + 27b2) = 0

Answer:

[tex]b=3[/tex], or [tex]0[/tex]

Step-by-step explanation:

[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]

[tex]b=0\quad \mathrm{or}\quad \:9b-27=0[/tex]

[tex]9b-27=0[/tex], [tex]\mathrm{Add\:}27\mathrm{\:to\:both\:sides}.[/tex]

[tex]9b-27+27=0+27[/tex]

[tex]9b=27[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9b}{9}=\frac{27}{9}[/tex]

[tex]b=3[/tex]

Answer:

1.88

Step-by-step explanation:

A farmer sells 9.4 kilograms of pears and apples

4/5 of the total weight is pears while the rest is apple

Let x represent the number of apples

9.4= 4/5 ×9.4 + x

9.4 = 0.8×9.4+x

9.4 = 7.52+ x

9.4-7.52= x

1.88= x

x= 1.88

Answer:

x = -516

Step-by-step explanation:

(4 - 5x) + 43 = 3 - 32(-82)    {Multiply 32 and (-82)}

4 - 5x + 43 = 3  - (-2624)  

4 - 5x + 43 = 3 + 2624   {add 4 and 43 in LHS}

   -5x  + 47 = 2627      {Subtract 47 from both sides}

     -5x        = 2627 - 47

          -5x   = 2580         {Divide both sides by (-5)}

                x = 2580/(-5)

x = -516

Answer:

-39.65

Step-by-step explanation:

3 1/4 ⋅ (-12.2)

First, we must change the first fraction to a decimal.

3 1/4 = 3.25.

Now, we just multiply using standard algorithm.

3.25 ⋅ (-12.2) = -39.65.

Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.

Answer:

22

Step-by-step explanation:

gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22

Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

A: cow :milk bc it comes ot the cow like the egg comes out the chicken

Answer

y= 1.5x+4

Step-by-step explanation:

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

Answer:

6

Step-by-step explanation:

[tex]10^{2}[/tex]= 100

[tex]8^{2}[/tex]= 64

[tex]6^{2}[/tex]=36

100-64=36

b would be 36

Answer:

The probability of both coins landing on tails is 25%

Step-by-step explanation:

A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.

Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

Hi there!

[tex]\large\boxed{r = 5 cm}[/tex]

The volume of a cone is as follows:

V = 1/3πr²h

We are given the volume and height, thus:

100π = 1/3πr²(12)

Begin by multiplying both sides by 3 (to cancel out the fraction):

300π = πr²(12)

Divide both sides by 12:

25π = πr²

Divide both sides by π:

25 = r²

Square root both sides:

5 = r

Answer:

the answer is 5 cm

hope this helps

Answer: 4.5 Seconds

Step-by-step explanation:

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

Now Multiplying 8 by 51

=51 x 8

= 408 cars  

Answer:

Step-by-step explanation:

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

Answer:

-360

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

yes is it correct.................

Answer:The answer is A

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

√

2

⋅

5

x=\frac{-({\color{#e8710a}{-7}}) \pm \sqrt{({\color{#e8710a}{-7}})^{2}-4 \cdot {\color{#c92786}{5}}({\color{#129eaf}{-18}})}}{2 \cdot {\color{#c92786}{5}}}

x=2⋅5−(−7)±(−7)2−4⋅5(−18)​​

2

Simplify

3

Separate the equations

4

Solve

Solution

=

7

±

4

0

9

√

1

0

Answer:

a = 5.07

Step-by-step explanation:

Here, we want to get the value of the side marked a

What we have is a right triangle

so, to find the value of a, we are to use the correct trigonometric ratio

The angle given faces a, which makes a the opposite

the side measure faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the two is the sine

The sine is the ratio of the opposite to the hypotenuse

mathematically;

sine 25 = a/12

a = 12 * sine 25

a = 5.07

Answer: 1/21

Step-by-step explanation:

total = 2 + 1 +4 = 7

1/7 x 2/(7-1) = 2/42

2/42 simplifies to 1/21

1/7: 1 doughnut out of a total of 7 items

2/(7-1): 2 mint cookies are available in the pool out of 6 items -> since one item has already been chosen without replacement, so now the total is 6.