Fill in the missing fraction part

Answer:

Angle B is 52 degrees

Step-by-step explanation:

The outer angle 112 adds up with the inner angle to make 180. So angle C is 68. All the angles should add up to 180, so add them all together.

68+4y+3y+7 = 180

75+7y = 180

7y = 105

y = 15

To double-check this, plug 15 into y and add up all the angles, it should add up to 180.

3(15)+7 = 52

4(15) = 60

68+60+52 = 180

The number of times an action is performed between every other person in a group can be calculated using the relation [tex] \frac{n(n - 1)} {2}[/tex] which is 136 times

Using the formular ;

[tex] \frac{n(n - 1)} {2} = \frac{17(17 - 1)} {2}[/tex]

[tex] \frac{17(17 - 1)} {2} = \frac{17 \times 16} {2}[/tex]

[tex] \frac{17 \times 16} {2} = \frac{272}{2} = 136 [/tex]

Therefore, the all the 17 people present in the gathering hugged a total of 136 times

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Answer:

18

Step-by-step explanation:

The equation would be x^2+24^2=30^2. Solving would get 18.

Answer:

z = 5

Step-by-step explanation:

Here, I am using the 30 60 90 right triangle rule

7+3 = 2x

z = 5

x = 5√3

Answer:

Step-by-step explanation:

You could graph it. I'll do that at the bottom. What you need is a value that is - on either 2 or 3 and a plus on the other one.

y=12*2^3 - 32x^2 + 17

y = 12 * 8 - 32*2^2 + 17

y = 96 - 128 + 17

y = -15

Now when x = 3 should give you something above the x axis

y = 12*3^3 - 32*9 + 17

y = 324 - 288 + 17

y = 53

What this indicates is that somewhere between 2 and 3 the graph crosses the x axis. The graph should indication that.

Answer:

The given graph is represents a relation, Option C is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph is classified as a relation (non-function).

A relation is any set of ordered pairs, and a function is a special type of relation where each input (x-value) corresponds to exactly one output (y-value).

In other words, for a function, there are no repeated x-values with different y-values.

Linear Function Graph has a straight line so the graph is not linear function.

A nonlinear function is a function whose graph is not a straight line.

Its graph can be any curve other than a straight line.

Hence, the given graph is represents a relation, Option C is correct.

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Answer:

730

Step-by-step explanation:

Because when you add 365 and 365 together, you get 730

The mathematical answer to 365 x 2 is 1825.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The mathematical expression; 365*5

Now,

=365*5

=1825

Therefore, by algebra multiplication will be 1825.

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Answer:

y = m x + b      standard equation for straight line

-2 = 3 *2 + b    to satisfy above equation

b = -8

therefore

y = 3 x - 8

if x = 2 then y = -2

Answer:

135°

Step-by-step explanation:

angle d = (360°-90°)÷2

= 270°÷2

= 135°

Answer:

387000000 (Question C)

Step-by-step explanation:

Answer:

The maximum number is 15

Step-by-step explanation:

Hope this helps!

haVE A NICE DAY!!

Answer: 15 packages with 4 pens and 3 packs of paper each

Step-by-step explanation:

( 1 + sinx / cosx ) + ( cosx / 1 + sinx ) =

_________________________________

(1 + sinx)(1 + sinx)/cosx(1 + sinx)

+

(cosx)(cosx)/(1 + sinx)(cosx) =

_________________________________

(1 + sinx)^2 /cosx(1 + sinx)

+

(cosx)^2/cosx(1 + sinx) =

_________________________________

1 + 2sinx + sin^2 x/cosx(1 + sinx)

+

cos^2 x/cosx(1 + sinx) =

_________________________________

1 + sin^2 x + cos^2 x + 2sinx / cosx(1 + sinx) =

1 + 1 + 2sinx / cosx(1 + sinx) =

2 + 2sinx / cosx(1 + sinx) =

2(1 + sinx)/cosx(1 + sinx) =

( 1 + sinx) simplifies from the face and the denominator of the fraction

2/cosx

Answer:

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf Trigonometry\: Table \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \rm \infty \\ \\ \rm cosec A & \rm \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm \infty \\ \\ \rm cot A & \rm \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0 \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}[/tex]

[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]

Answer:

a) -3 1/4

b) 4.3

c) -3 1/3

Step-by-step explanation:

Answer: The Answer is 0.76

Step-by-step explanation: 16/21 is 0.761904 then round using the 6 giving u 0.76

Answer:

453

Step-by-step explanation:

9514 1404 393

Answer:

  20 g/cm³

Step-by-step explanation:

The volume of the prism is the product of the area of its triangular base and its height. The triangle area is ...

  A = 1/2bh

  A = 1/2(16 cm)(8 cm) = 64 cm²

The height of the prism is 20 cm, so its volume is ...

  V = Bh = (64 cm²)(20 cm) = 1280 cm³

The density of the ingot is the ratio of its mass to its volume.

  ρ = M/V = (25,600 g)/(1280 cm³) = 20 g/cm³

The density of the ingot is 20 g/cm³.

Answer:

[tex]-3x^3+24x^2-63x+60[/tex]

Step-by-step explanation:

I apologize for poor handwriting.

Answer:

https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php try this website, it shows a step by step solution, and is a calculator for your problem <3

Step-by-step explanation:

Answer:

Angle 5 should be 60

Step-by-step explanation:

Angle 2 and angle 4 are the same because they are Corresponding Angles. so if the lines m and n equal 180 then you subtract 120 from 180 and you get 60 so 5 ,7, 1 and 3 are 60 degrees

Answer:Exact Form: one over 9  

1

9

Step-by-step explanation: ,..

Answer:

A

Step-by-step explanation:

6 is about halfway to 16

21 is about halfway to 56

they meet up, which makes the line the most accurate

Yw :D

Hey There , Here is your Answer :-

Answer:

$15 per hour

Step-by-step explanation:

The babysitter got paid $60 in total for 4 hours of work

$60/4hr = $15/hr

Answer:

15$ per hour

Step-by-step explanation: If you divided 60 into 4 it is 15.

15x4=60

Answer:

30

Step-by-step explanation: