Find the ratio of the trig function indicated.

Answer:

the missing angles are 47,° 77,° 56°

Step-by-step explanation:

(133)+(x+13)= 180° (angles on a straight line)

133+x+13= 180°

146+x= 180°

X= 180-146

X= 34°

FOR ANGLE A

2X+9= 2(34)+9= 68+9= 77°

FOR ANGLE C

X+13= 34+13= 47°

FOR ANGLE B

47+77+Y= 180 (SUM OF ANGLES IN A TRIANGLE)

124+Y= 180

Y= 180-124= 56°

Y= 56°

the missing angles are 47,° 77,° 56°

It's a combine function (Alike signum function)

Which is given by

[tex]\\ \rm\Rrightarrow f(x)=\begin{cases}\sf 3x,x<3\\ \sf 2x,x>3\end{cases}[/tex]

Find some points

Graph attached

Red line is 2x and blue one is 3x

Answer:

1.174 X 10^16

Step-by-step explanation:

since 5,870,000,000,000 X 2000 = 11,740,000,000,000,000 = 1.174 X 10^16

Answer:

55

Step-by-step explanation:

we can get the answer by putting it in the calculator

In the design of a package, things to take into consideration are:

The most cost effective and efficient to pack 12 golf balls is through the  use of a small golf bag or a small box that is made specially for that purpose.

The design of the box will be in a rectangle shape where there will be two rows of which the ball is made to fit in till the 12 balls are completely inside the box. The lock is automatic and it is one that can be easily closed and opened easily when one wants to take a ball.

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Answer:

beds in the hospital ≤ 47

Step-by-step explanation:

No more 47 means not greater than 47.

But can be = to 47 or less than it.

The ratio of the area of sector abc to the area of sector dbe is 4:3

The formula for calculating the area of a sector is expressed as:

A = r²Ф

where:

For the sector ABC

A1 = (2r)²β
A1 = 4r²β

For the sector DBE
A2 = (r)²3β
A2 = 3r²β

Take the ratios

Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3

Hence the ratio of the area of sector abc to the area of sector dbe is 4:3

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Answer:

Statistics are incredibly important in real life. For example, we use statistics for weather forecasting.  Probability (which is a form of statistics) is used by weather forecasters to figure out how likely it is that there will be rain, snow, sun, etc. on a given day in a certain area.

Step-by-step explanation:

'*•.¸♡ hope i helped, have a great day ♡¸.•*'

Answer:

-x^4-5x^3+2x²+ 10x = (x+5)(2x-x³)

Step by Step explanation

Naming the coefficient of x² as "a" and the independent temine of the first parenthesis as "b", we got:

-x^4-5x^3+ ax^2 +10x=(x+b)(2x-x^3)

- x⁴-5x^3+ ax^2 +10x = 2x²- x⁴+2bx-bx³

-5x^3+ ax^2 +10x = -bx³+2x²+2bx

( Matching the exponents)

For x: 2b= 10; b=10/2. 

            b=5

For x²: a=2

For x³: -b=-5

             b=5

Answer:

It's 90° degrees .

Explanation :

A right angle meseaures correct 90° degrees .

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2 - 7^2)\implies A=61.25\pi \\\\\\ A\approx 192.42~m^2 \end{array}[/tex]

Answer:

the answer is 22 hope this helps

Step-by-step explanation:

7(-7)= -49

-49+149=100

100-56=44

44/2=22

Answer:

[tex]\log_{9}4\approx 0.631[/tex]

Step-by-step explanation:

The change of base formula we can use is

[tex]\log_{b}a=\frac{\log{a}}{\log{b}}[/tex]

Not all calculators will allow the user to directly enter the logarithms with a given base, so the change of base can be used for all calculators, which use the common log.

Common logs have a base of 10.

Let's convert your expression:

[tex]\log_{9}4=\frac{\log4}{\log9}[/tex]

Using our calculator, we will compute log 4 divided by log 9:

[tex]\frac{\log4}{\log9}\approx0.631[/tex].

Step-by-step explanation:

282.8cm³

Since the volume of each chocolate candy is in the shape of a sphere, it's volume is the volume of a sphere.

Sure, post the questions.

Answer:

(2,3) is the answer

Step-by-step explanation:

[tex]5x - 4y = - 2.....equation1 \\ 2x + 4y = 16 \\ 4y = 16 - 2x......equation2 \\ now \: substituting \: the \: value \: of \: 4y \: in \: eq1 \\ 5x - (16 - 2x) = - 2 \\ 5x - 16 + 2x = - 2 \\ 7x = - 2 +16 \\ x = \frac{14}{7} \\ x = 2 \\ putting \: the \: value \: of \: x \: in \: eq2 \\ 4y = 16 - 2x \\ y = \frac{16 - 2 \times 2}{4} \\ y = \frac{12}{4} \\ y = 3[/tex]

Answer:

A) (n+5)^2

Step-by-step explanation:

(n+5)^2

(n+5)(n+5)

n*n = n^2

(n*5)+(n*5) = 10n

5*5 = 25

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

First take a look at A. It is a pretty good idea always to write the formula you are using before you begin a solution and go step by step from the formula. Also write your givens. I know it sounds like a lot of work. It really isn't. You are creating a habit.

Givens

n = 8

Sn = ?

d = -6

a = 90

Formula

S8 = a + (n - 1)*d

Solution

s8 = 90 + (8-1)*-6

s8 = 90 + 7 * -6

S8 = 80 - 42

S8 = 38

Part B

Here's where the formula is your friend. Let's suppose it is. Then solve for n. If we get an integer for the term number, then all is well. If we don't, and we get some kind of fraction, then 5 is not a member of the sequence.

Givens

Sn = 5

n = ?

d = -6

Formula

Sn = a + (n - 1)*d

Solution

5 = 90 + (n - 1)*-6                    Subtract 90 from sides

5-90 =90-90 +(n - 1)*-6          Combine    

-85 = (n -1)*-6                          Divide by - 6

-85/-6 = (n - 1)-6/-6

14 1/6 = n - 1                            Add 1 to both sides

14 1/6 +1 = n - 1 + 1                  Combine

15 1/6 = n

But a fraction is not permitted. So 5 is not a member of the sequence

Society must use the resources wisely without wasting any good.

The products and the services of daily use in the life of the human being are called the resources. It can be anything like a toothbrush, clothes, electronic products etc.

The basic necessity of human is food, water and electricity we must use them wisely because of the continuous increase in the population on th earth the resources are also decreasing. So we should not waste them unnecessarily.

Therefore Society must use the resources wisely without wasting any good.

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Answer:

I do believe its 5 units, if I am incorrect I apologize

Step-by-step explanation:

The probability of the spinner not occurring A will be 8/9. Then the correct option is A.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.

Then the probability of not occurring A will be

The total event will be

Total events = 9 {A, B, C, D, E, F, G, H, I}

The favorable event will be

Favorable events = 8 {B, C, D, E, F, G, H, I}

Then the probability will be

P = 8/9

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Answer:

l=5.1in

r=2.4in

Step-by-step explanation:

size increase of 50% so just add (+50%) to both existing values

Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?

[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]

Hence, the length of the living room in the scale drawing is of 4/3 ft.

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Answer:

The guy above is right its 4/3

Step-by-step explanation:

Hope this helped!!!

Please correct me if i'm wrong! :D

Answer:

y = -x + 1

Step-by-step explanation:

I just checked it in the desmos graphing calculator and it was correct.

Answer:

y = -x + 1.

Step-by-step explanation:

The graph rises to the left so has a negative slope.

slope  = -1 and y-intercept = 1

Answer: 77 children tickets were sold that day

Step-by-step explanation:

5.20x+9.50y=1255.40

x+y=167

                                               5.20x+9.50(167-x)=1255.40

x+y=167                                   5.20x+1586.50-9.50x=1255.40

-x    -x                                       -4.30x+1586.50=1255.40

y=167-x                                              -1586.50   -1586.50

                                                    -4.30x=-331.1

                                                      -4.30  -4.30

                                                       x=77

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]

Step-by-step explanation:

that is in this case totally simple :

both points have the same x value.

that means they are both on the same vertical line at x = 6.

so, we only need to calculate the y difference, and that is then their distance :

1 - -3 = 1 + 3 = 4

the distance is 4 units.