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Answer:

x=9

Step-by-step explanation:

hello :

use thales- rul :

(3x-20)/56 =9/72

(3x-20)72= 9×56

3x-20 =9×56/72

3x-20 =7

3x=27

x=27/3

x=9

Answer:

54

Step-by-step explanation:

31 cheese pizza+23hawaiian pizzas=54 pizza in all

Answer:3

Step-by-step explanation:

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to choice A as the final answer

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An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

Answer: 54

Step-by-step explanation:

63-9 you can't take 9 away from 3 so you must borrow, the 6 becomes a 5 and the 3 becomes 13. 13-9 is 4, bring the 5 down and you have 54.

Answer:

7.8 ml

Step-by-step explanation:

1 hour = 5.2 ml of rain

90 mins = 1 hours and 30 mins

5.2 / 2 = 2.6

5.2 + 2.6 = 7.8

Answer:

4. 2/3

Step-by-step explanation:

Plug the coordinates into the formula.

y2 - y1 / x2 - x1    

= 3 - (-1) / 4 - (-2)

= 2/3

Answer: One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

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To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

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These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

Answer:

5

Step-by-step explanation:

15/3 - 4/3 = 11/3

15/3 = 5

The difference of a number 5 and 4/ 3 is 11/3.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, the difference of a number and 4/ 3 is 11/3.

Let the unknown number be x.

Here, x-4/3 =11/3

x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)

To add like fractions, add the numerators and keep the denominator same. That is

x= 15/3

x=5

Therefore, the unknown number is 5.

To learn more about the subtraction of fractions visit:

https://brainly.com/question/5220474.

#SPJ2

Answer:

$6.40

Step-by-step explanation:

All you have to do is find 8% of 80 dollars. That means you do 8/100x80/1 which is equal to 32/5. Simplify this improper fraction to get $6.40. This means that 8% of 80 is $6.40.

Answer:

[tex]a-9^{1}[/tex]

Hope that helps!

Step-by-step explanation:

Answer: [tex]a-9^{1}[/tex]

Answer:

R=15 1/6

Step-by-step explanation:

You can add 5 and 1/6 to each side so -5 1/6+5 1/6= 0 so it cancels out therefore on the other side of the equal side you add 5 1/6+10 to get 15 1/6.

Answer:

r=25

Step-by-step explanation:

i did the test lol

Step-by-step explanation:

the answer is 13 when we evaluate it

Answer:

The given equation has exactly one solution.

This is the same as y = x+13

=============================================================

Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

Answer:

Step-by-step explanation:

Angle formed by two secants is half of the difference of intercepted arcs:

Find the measure of missing arc:

Substitute the value of arc QR into above equation:

Correct choice is D

Answer:

i dont see a question, sorry

Answer:

62 mph

Step-by-step explanation:

Answer:  y = 0.0005x+1

This is the same as saying y = (1/2000)x + 1

===============================================================

Explanation:

The blue line goes through (0,1) and (2000,2)

The slope is

m = (y2-y1)/(x2-x1)

m = (2-1)/(2000-0)

m = 1/2000

This says that each time we move up 1, we move to the right 2000 units.

Think of it as slope = rise/run = 1/2000

The slope 1/2000 means that each time you make 2000 soccer balls, it will cost you $1000. Keep in mind that y is in thousands (eg: y = 1 means 1000). This further implies that the marginal cost is ($1000)/2000 = $0.50 = 50 cents. The marginal cost is the cost to make one extra unit.

The fraction 1/2000 converts to the decimal form 0.0005 after using a calculator. So m = 0.0005 is the decimal form of the slope.

The y intercept of the blue line is b = 1 as this is the location where the blue line crosses the vertical y axis. The y intercept represents the fixed costs needed to set up production, for example: buying the machinery needed is a fixed cost.

-------------------

Since m = 0.0005 and b = 1, we go from y = mx+b to y = 0.0005x+1

We could say y = (1/2000)x + 1, though I think it's probably easier to use a decimal in this case.

Answer:

1500 dollars

Step-by-step explanation:

annual means yearly and we want to find how much it will cost for 5 months

First thing we want to do is find how much it cost every month and to do that we divide 3600 by 12

3600/12=12 so it cost 300 dollars monthly

then we just multiply that by 5

5x300=1500 so it cost 1500 dollars for 5 months

Answer:

Step-by-step explanation:

1500 for 5 momth

(3600*5)/12

Answer:

Volume of sphere = 130.9cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \: \times r^{3} [/tex]

We need the radius. 6.3 ÷2=3.15

[tex] \frac{4}{3} \times \pi \times 3.15 ^{3} [/tex]

=130.924303cm³

rounded to the nearest tenth

=130.9cm³

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Answer:

first equation goes with the #3

second equation goes with the #1

third goes with the #4

Step-by-step explanation:

hope I helped

Answer:

I think shape A is just reflected, and make Shape B.

The reflection line is on 2 of the y axis

Step-by-step explanation:

Answer:

2/3,7/10,11/15,4/5

Step-by-step explanation:

You want to make them all have the same denominator so find a number all of the denominators can go to. In this case it seems to be 30.

7/10x3

21/30

2/3x10

20/30

4/5x6

24/30

11/15x2

22/30

Answer:

2/3, 7/10, 11/15, 4/5

Step-by-step explanation:

2/3= .66

7/10= .70

11/15=.73

4/5= .80

the decimals are numbers.

Ill try though

Step-by-step explanation:

my dude search it up?

Answer:the third one

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

x=6

Hopefully it is correct and I tried my best good luck

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1