. -5, 10, 7, 10, 9, 0, 1, 9, -1, 5 Work out the mean.

Answer:

122.3 degrees

Step-by-step explanation:

To get the measure, we use the appropriate method

The method we are going to use here is the cosine rule

We have the general form as;

a^2 = b^2 + c^2 -2bc Cos A

where a = 25

b = 9 and c = 19

Substituting these values;

25^2 = 9^2 + 19^2 - 2(9)(19) Cos A

183 = -342 cos A

cos A = -183/342

cos A = -0.54

A = arc cos -0.54

A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65

= 122.35

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4

Answer:

D

Step-by-step explanation:

is the correct answer i believe.

Answer:

B. 0,3

Step-by-step explanation:

I took the test and checked the answer, 0,3 is correct.

Answer:

397

Step-by-step explanation:

Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;

Por teorema del resto, tenemos;

p (x) = (x - a) · Q (x) + R

Dónde;

p (x) = El número, que se divide

Q (x) = El cociente

(x - a) = El divisor

R = El resto

Dado que el número más pequeño es 4, el resto, 0 <R <4

Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;

R = 1

Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;

(x - a) · Q (x) = 396

R = 1, dar;

p (x) = 396 + 1 = 397

Por lo tanto;

El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397

Answer:

y ≥ 0

Step-by-step explanation:

if you put a negative in place of 'x' you would get a negative root which is an imaginary number

Answer: bottom left

Step-by-step explanation:

Answer:

Espero te sirva

Step-by-step explanation:

Suerte ******'**

You can use two important properties of log to find out the solution of the given equation.

The value of x that satisfies the given equation is 4

When you raise a number with an exponent, there comes a result.

Lets say you get

[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b= log_a(c)[/tex] ,  here 'a' is called base of logarithm.

Some properties of logarithm are:

[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(a) = 1[/tex]  

(take special attention over that base "a" in all of the above property as you might mix them with other base logarithms which is not allowed)

We can use the fourth, property and then can use third and first property as follows:

[tex]log_2(6x-8) - log_2(8) = 1\\\\log_2(\frac{6x-8}{8}) = log_2(2)\\\\\dfrac{6x-8}{8} = 2\\\\6x-8 = 2 \times 8\\6x-8 = 16\\6x = 16 + 8\\6x = 24\\\\x = \dfrac{24}{6} = 4\\\\x= 4[/tex]

Thus, the value of x for the given condition is obtained as 4.

Learn more about logarithms here:

https://brainly.com/question/20835449

Answer:

area=lenght × width

=423×2.5

=1057.5

perimeter =2L×2W

=2×423×2×2.5

=846×5

=4230

Answer:

84mm^3

Step-by-step explanation:

multiply 12 by 7

Given:

The initial length of a tree = 34''

The tree grows 7.5'' every year.

To find:

The height of the tree in 5 years.

Solution:

It is given that,

Length of tree increased each year = 7.5''

Length of tree increased 5 year = 5×7.5''

                                                     = 37.5''

The initial length of a tree is 34''. So, the length of tree after 5 years is

34'' + 37.5'' = 71.5''

Therefore, the length of the tree in 5 years is 71.5''.

Answer:

Simplest form of radical √245c³ = 7c√5c

Step-by-step explanation:

Given radical value:

√245c³

Find:

Simplest form of radical √245c³

Computation:

Given value

√245c³

Step 1 :

Prime factorisation of given radical value

Simplest form of radical √245c³ = √5 × 7 × 7 × c × c × c

By taking 7 and c from out of root

Simplest form of radical √245c³ = 7 × c √ 5 × c

Simplest form of radical √245c³ = 7c√5c

Answer:

Step-by-step explanation:

The line is parallel to the x axis, so its slope is 0

m = 0

the y intercept is -2.5

the line doesn’t intercept the x axis because is parallel to it

Answer:

Step-by-step explanation:

Answer:

=3

Step-by-step explanation:

given the general form ax2 +bx+c=0

there exist two solutions where: a=1,b=3andc=3

Answer:

decreased by 50%

Step-by-step explanation:

[tex]\frac{x}{y}[/tex]

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%

Answer:

-64

Hope it helps

I believe the answer to this is:

8:35

Hope this helps! :D

0.167 I believe!

<3

I'm sure you'll do great!

Answer:

0.167(rounded 3dp)

Step-by-step explanation:

100/6=16.6666...

[tex]\frac{16.666}{100}[/tex]= [tex]\frac{1}{6}[/tex]

[tex]\frac{16.666}{100}=(into decimal)0.167[/tex]

Answer:

Step-by-step explanation:

Distributive

Step-by-step explanation:

41+29=70

41 +(9+20)=70

(41+9)+20=70

hope it help

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

Answer:

44ft

Step-by-step explanation:

12ftx6ft=72ft

72ftx2ft= 144ft

144ft-100ft=44ft

Hope this helps! :)

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

Answer:

Step-by-step explanation:

Answer:

Hello! The slope is 1/2, the B value is 2, and the x- intercept would be -6!

Step-by-step explanation:

Well, the B intercept in the start point, as we can see, this linear equation starts at 2! Also, it is the y-intercept, therefore it intercepts the y-line at 2 if you look closely. For the slope, we can figure this out by picking any two clear points on the graph that the line goes through that is EXACT, (has to be directly on a point that is a whole number), and we do rise over run to calculate the slope! If you are having trouble with that, I suggest watching videos on Khan Academy's website about linear equations/linear graphs! Again, with rise over run, we can figure out the x intercept once it passes over the x intercept! I'm not an expert but I have been in algebra!

Answer:

option B

Step-by-step explanation:

Given r = 10 , h = 15

[tex]Volume = \pi r^2 h = \pi \times 10^2 \times 15 = \pi \times 100 \times 15 = 1500 \pi \ cubic \ units[/tex]

Answer:

150 meters

Step-by-step explanation:

[tex]\frac{7}{5} =\frac{210}{x\\}[/tex]

cross multiply:

7x = 1050

solve for x by dividing both sides by 7:

x = 150

the second length is 150 meters

Answer:

150 meters

Step-by-step explanation:

To get from 7 to 210 it was multiplied by 30 (we know this because 210 divided by 7 is 30) so that means to get from 5 to the missing length of the second rope, you multiply by 30. 5 times 30 is 150, so the second rope is 150 meters long.

:) ur welcome

Answer:

B) 27.2 m^2

Step-by-step explanation:

because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.

Answer:

a) 50

b) 400

c) 8

d) 200

Step-by-step explanation:

a) 5 divided 0.1

  [tex]\frac{5}{0.1} = \frac{5 \times 10}{0.1 \times 10} = \frac{50}{1} = 50[/tex]

b) 8 divided 0.02

   [tex]\frac{8}{0.02} = \frac{8 \times 100}{0.02 \times 100} = \frac{800}{2} = 400[/tex]

c) 2.4 divided 0.3

  [tex]\frac{2.4}{0.3} = \frac{2.4 \times 10}{0.3 \times 10} = \frac{24}{3} = 8[/tex]

d) 32 divided 0.16

   [tex]\frac{32}{0.16} = \frac{32 \times 100}{0.16 \times 100} = \frac{32 \times 100}{16} = 200[/tex]

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Answer:

289

Step-by-step explanation:

5 people pay 39 each for their bag, so, 5*39 is 195

now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445

the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218