How to find the missing side Using Pythagoras Theorem?​

Answer:

2sin(3θ) - √3 = 0

Step-by-step explanation:

 sin(3θ) = √3/2

3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...

θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3

If k = 0, we get θ = π/9, 2π/9

If k = 1, we get θ = 7π/9, 8π/9

If k = 2, we get θ = 13π/9, 14π/9

Other values of k give values of θ lying outside of the interval [0, 2π).

We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05

So we want to solve the equation: 2sin(θ) = √3

First, we divide both sides by 2 to get:

sin(θ) = (√3)/2

Now remember the inverse sine function, it acts as follows:

Asin(sin(x)) = xsin(Asin(x)) = x

So we can apply this to both sides to get:

Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05

And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:

θ = 1.05

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Answer:

D

Step-by-step explanation:

I have no idea how to explain this, but I'll try my best. Let me know if you want further clarification.

When you're slicing parallel to the base, it would mean "in line" with the base if that makes sense. If we were to draw a line on where we would slice it, and another repersenting the base, neither line would ever touch.

So looking through each possible answer, if we were to slice each shape parallel to the base, only D would produce a circle.

Again, sorry about this sloppy explaination.

Answer:

d

Step-by-step explanation:

the bottom is a circle

Answer:

2(5x+6)-9

Step-by-step explanation:

That's the answer to the problem

Answer:

Hi! I would LOVEEE to help you...But, there is no picyure or anything to see angle 1.

Step-by-step explanation:

13

+

4

−

1

52

=

16

52

=

4

13

≈

0.3077

Explanation:

In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.

The probability of drawing a jack or ten from a deck of cards is 2/13.

The probability of drawing a jack or a diamond is 15/52.

How to calculate probability?

Fact: A deck of cards has 52 cards and in it:

Another classification:

Now coming to the question:

Probability: Desired outcomes/total outcome

                  =8/52

                  =2/13

therefore, total cards desired=13+2=15

Probability:15/52

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Answer:

x= -9

y= 1

Step-by-step explanation:

-3y+2z=5

(put the value of z in the equation)

-3y+2(4)=5

-3y+8=5

8-5=3y

3=3y

y=3/3

therefore y= 1

x+y-3z=-20

(put the value of y and z in the equation)

x+1-3(4)=-20

x+1-12=-20

x+1= -20+12

x= -8-1

therefore x= -9

I hope it will help.

Answer:

False

Step-by-step explanation:

Upon graphing the function with any given graphing calculator, the function does not have symmetry across the y axis, as the graph is going below the x axis on one side of the y axis, and above the x axis on the other side of the y axis.

Answer:

The equation is: y=-0.5x-7

Step-by-step explanation:

Answer:

The equivalent expression is  [tex]8.25\cdot y -14[/tex].

Step-by-step explanation:

Let [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex], we proceed to simplify the expression by like terms and other algebraic operations:

1)  [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex]  Given

2) [tex][1.75\cdot y +(-3.5)]\cdot 4 + 1.25\cdot y[/tex] Commutative property/Definition of subtraction.

3) [tex](1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y[/tex] Distributive and associative properties.

4) [tex]7\cdot y +(-14)+1.25\cdot y[/tex] Definition of multiplication/[tex]a\cdot (-b) = - a\cdot b[/tex]

5) [tex](7+1.25)\cdot y -14[/tex] Commutative and distributive properties/Definition of subtraction.

6) [tex]8.25\cdot y -14[/tex] Definition of addition/Result

The equivalent expression is  [tex]8.25\cdot y -14[/tex].

Answer:

C = 62

Step-by-step explanation:

Answer:

[tex] \frac{4}{9} [/tex]

Answer:

y=(x-5)2-5 it's your answer plz make me barinly least

Answer:

0.0015082956 es la respuesta pero el valor aproximado sería ≈ 0.0015083

Answer: C

Step-by-step explanation:

The domain of the profit function is (c) all integers greater than or equal to zero.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that,

A company has developed a new video game console.

After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is,

P(c) = -250c² + 70000c - 4,570,000

where c is the number of consoles sold.

Here domain is the number of consoles sold or c.

The number of consoles cannot be negative and fractions.

So the domain does not contain all integers and all fractional numbers which are rational numbers.

So the domain is all integers greater than or equal to zero.

Hence the correct option is (c).

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Answer:

See below

Step-by-step explanation:

you have to use the equation y=mx+b

We know the slope is -0.85

we can plug in -0.85 for m to give us

y=-0.85x+b

Then we can use the 60 miles and 33 minutes by plugging them in for x and y

60=-0.85*33+b (multiply the numbers)

60=-28.05+b (add 28.05 to both sides to isolate the variable)

b=88.05

Then, use b with the slope and plug in the 25 minutes for x

y=-0.85*25+88.05

y= 66.8 miles

hope this helps : D

Answer:

Step-by-step explanation:

I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.      

Hope this helps!

Answer:

5 feet aka 60 inches

Step-by-step explanation:

A 5 feet

Multiply 12 times 5

Which is equal to 60 inches

5 feet= 60 inches

Answer:

its 20 because he ran 20 from jones

Answer:

B. 15 y +8  x/ 6 x y

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Answer:

B

Step-by-step explanation:

Answer:

The answer is "Fail to reject [tex]H_o[/tex], because  [tex]w_o[/tex] is sufficient evidence for claim".

Step-by-step explanation:

[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]

Test Statistic:

[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]

[tex]dt=17\\\\[/tex]

p-value[tex]=0.6028[/tex]  

Answer:

Mean: 11.822.

Mode: 17,11,12,8,16,6.

Median: 12.

Step-by-step explanation:

Hope this helps! The mode is the number that occurs most in the set and since they all show up once the mode is all of them.

Answer:

x = 35

Step-by-step explanation:

Angles sum of a triangle = 180

That being said we want to create an equation to solve for x

180 = 2x - 8 + x - 7 + 90 ( there is a right angle indicated by the little square; a right angle has a measure of 90 degrees, so just in case you were wondering that's where the 90 came from )

now we solve for x

step 1 combine like terms

2x + x = 3x

90 - 7 - 8 = 75

now we have 180 = 75 + 3x

step 2 subtract 75 from each side

180 - 75 = 105

75 - 75 cancels out

Now we have 105 = 3x

step 3 divide each side by 3

105 / 3 = 35

3x/3=x

we're left with x = 35