the question is below

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

[tex]\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}[/tex]

Sin P = 0.3

[tex]P = Sin^{-1} 0.3\\[/tex]

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

It is a branch of mathematics that deals with the occurrence of a random event.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin.

The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

tails T-1 T-3 T-4 T-5

Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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Answer:

hope this works for you

Step-by-step explanation:

Answer:

$9400

Step-by-step explanation:

You start with $1000 and get 7% more every month.

7% of 1000 is 70 so that means $70 is added to the credit union each month.

So you add $70 dollar to $1000 for every month there is which would be 12 months timers the ten years:

1000 + (70 x 12 x 10) = 9400

Answer:

[tex]y = \dfrac{3}{2} x + 9[/tex]

Step-by-step explanation:

We would like to write the given equation in slope intercept form of the line .

[tex]\longrightarrow 6x - 4y = -36 [/tex]

The slope intercept form of the line is [tex] y = mx + c [/tex] , where

we can rewrite the given equation as ,

[tex]\longrightarrow 6x - 4y = -36 \\ [/tex]

[tex]\longrightarrow -4y = -36 -6x \\ [/tex]

[tex]\longrightarrow -4y = -6( x + 6)\\[/tex]

[tex]\longrightarrow y =\dfrac{-6}{-4}(x + 6)\\[/tex]

[tex]\longrightarrow y = \dfrac{3}{2}(x+6)\\ [/tex]

[tex]\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6\\[/tex]

[tex]\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}[/tex]

This is the required equation of line in slope intercept form , with ;

Answer:

Refer to the attachment

Answer:
x = 20

Step-by-step explanation:

to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20

Answer:

40 eggs

Step-by-step explanation:

(12 x 3) + 4 = x

36 + 4 = x

40 = x

40 eggs total

[tex]-6n < -12\\\\\implies 6n > 12\\\\\implies n > \dfrac{12}6\\\\\implies n > 2[/tex]

Answer:

height of tree is 80 feet.

Step-by-step explanation:

Given:-

To find :-

Solution:-

In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.

We know ,

tan 58° = AB/BC

1.6 = AB/50 feet

(Cross Multiplication)

80 feet :- AB

Note:- Figure is in attachment and is a rough work.

Answer:

₹ 81.75

Step-by-step explanation:

Total =  ₹ 120.

He bought one book for ₹ 25.75 and a pen for ₹ 12.50.

    ₹ 25.75 + ₹ 12.50 =  ₹ 38.25

How much money does he have now?​

     ₹ 120 -  ₹ 38.25 =  ₹ 81.75

₹81.75

you just minus 120 from 25.75 and 12.50

that is correct

Step-by-step explanation:

Answer:

70% of £68 gives £47.6 for each trainer

Answer:

100-70/100 *£68

Step-by-step explanation:

£40.8

therefore, each pair of trainers cost£40.8

Answer:

First pair:       -4 and 8

Second pair: -2 and 6

Third pair:     -1 and 5

Step-by-step explanation:

-4 + 8 = 4

-2 + 6 = 4

-1 + 5 = 4

Hope this helps

Answer:

probably 200

Step-by-step explanation:

or something like that

Answer:

Step-by-step explanation:

Final Answer: 19.5%

The total percentage 19.5% increase in the investor's stock account

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850.

The total worth is $5900 + $1850 = $7750

The stock in Company A has increased 20% since last year.

So,

20% of 5900,

= 20 x 5900 /100

= $1180

And the stock in Company B has increased 18%.

So,

18% of 1850,

= 18 x 1850/100

= $333

The total increased amount,

= $333 + $1180

= $1513

The increased percentage,

1513 = n x 7750/100

n = 1513 x 100/7750

n = 19.522

n = 19.5% to the nearest tenth.

Therefore, 19.5% is the required percentage.

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we can do it again and I am a big deal for the first day back to the first to see the first to be in the first time I was a good idea but I have a great time to be the first to see this movie is the best of luck to everyone for all the time of year when I get to the world to me I rent and the rest is history and culture and the rest of your own business and the first

Step-by-step explanation:

sana po makatulong

Total swimwear = 76 bikinis + 4 other types = 80 total

divide number of bikinis by total swimwear then multiply by 100:

76/80 = 0.95

0.95 x 100 = 95%

Answer: 95% are bikinis

Around 57%

17 / 30 = .56666666...

Move two decimal places to the left;

56.66666...

Estimate: 57%

Answer:

43.33%

Step-by-step explanation:

30 - 17 = $13

% discount = 13*100 / 30

= 43.33%

Step-by-step explanation:

Perimeter=2(l+b)

=2(152+120)

=544 cm

Answer:

Athletes swim 3/20 kilometer for every kilometer they run.

Step-by-step explanation:

3/20 = .15

multiply 10 by 3/20

10 * .15 = 1.5

Answer:

3/20 kilometers for every kilometer ran

Step-by-step explanation:

divide

Answer:

C, D, E,

Step-by-step explanation:

All of these will round to 187.55

Answer:

(Choice B)

Step-by-step explanation:

(7, 0)

7 - 7 = 0

Here, we can see that when 7 is subtracted from x, we get 0 (our y)

Hope this helps!

Step-by-step explanation:

a = 18

n = 10 th term

difference (d) = 72-10 = 62

an ( n th term ) = a + (n-1)d

a10 ( 10 th term = 18 + (10-1)62

= 18 + 9×62

= 18 + 558

10 the term = 576

Answer:

Step-by-step explanation:

Answer:

x = 3, 2

Explanation:

⇒ x² - 5(x) + 6 = 0

breakdown

⇒ x² - 3(x) - 2(x) + 6 = 0

takeout common terms

⇒ x(x - 3) - 2(x - 3) = 0

factor

⇒ (x-3) ( x-2) = 0

simplify

⇒ (x-3)=0, ( x-2) = 0

final answer

⇒ x = 3, 2

Answer:

12 units

Step-by-step explanation:

Properties of Rhombus:

1. length of all sides are equal.

2. Diagonals bisect each other at right angles

As the length of all sides are equal,

JM = JK

3x = 2x + 4

Subtract 2x from both sides,

3x - 2x = 4

       x = 4

JM = 3*4 = 12 units

Answer:

5/7

Step-by-step explanation:

Umm because the denominator 7 is less than 10 and 7 is the nearest number to 1/2

I hope it helps

Answer:

It is used in line graphs.

It can be any value within a range.

Step-by-step explanation:

Line graphs use :

Track numerical data over time within any value range therefore it is considered continuous data.  

A  line graph is a way to display data (information) that changes over time using a series of points joined with a straight line.

The line along the bottom is called the horizontal or (x-axis). Use this line to show time, days, weeks, months , or years.

The line up the side is called the vertical or (y-axis) is the value being measured, it starts at 0 and number it in even increments ; separated by twos, fives, tens, or hundreds.