given the right triangle ABC, find tan A​

Answer:

Hello,

11.2 is your answer!

Let's Beginnn.... READ EXPLANATION!!! ITS ALWAYS HELPS... TRUST MEEEEEEEEEEE!!!!

Step-by-step explanation:

Okay so this is clearly a pythagorean theorem question....

Imagine a ladder on a wall..... its kinda like a triangle.....

with that said... lets begin the math... A^2 + B^2 = C^2

The problem itself gives us c and a.

We have to solve for b.

33^2 - 8^2= b^2

1089 - 64 = 1025 = b^2

notice that we found b^2 but we are looking for b

so we have to take the square root....

√1025= 11.18

it says round to nearest tenth.... sooooo

11.2 is your answer!

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

O

(angle sum property of triangle)

⇒x+(180

O

−∠RTQ)+60

O

=180

O

(linear pair)

⇒x+(180

O

−97

0

)+60

o

=180

O

⇒x=31

o

Now, ∠PRT+∠TRQ+∠QRS=180

O

(angle of straight line)

⇒x+48

o

+y=180

O

⇒31

o

+48

o

+y=180

O

⇒y=101

0

Answer:

Step-by-step explanation:

f(n - 4)= n - 4 + 2 = n - 2

Answer:

2/3

Step-by-step explanation:

2/15 of 5

Of means multiply

2/15 * 5

Multiply the numerators

2*5 = 10

Put over the denominator

10/15

We can divide the top and bottom by 5

10/5 =2

15/5 =3

2/3

Answer:

Step-by-step explanation:

Answer:

Top Image: 56°

Bottom Image: 134°

Step-by-step explanation:

I'm not sure which image you have a question on, so I'll just solve both.

Top Image:

 We know that the sum of the angles will add up to 180 and that the angles of the triangle are f, f, and 68°. Therefore, we can set up the following equation:

f + f + 68° = 180°

Solving this gets f = 56°

Bottom Image:

  We know that the sum of the angles will add up to 180 and that the angles of the triangle are 23°, 23°, and g. Therefore, we can set up the following equation:

 23° + 23° + g = 180°

Solving this gets g = 134°

Answer:

Step-by-step explanation:

[tex]f(x) = \dfrac{2}{3}x-4\\[/tex]

When x = 0  ;   f(x) = 0-4 = -4

When x = 3  ;

       [tex]\sf f(3) =\dfrac{2}{3}*3-4\\\\ = 2-4\\\\ f(3) = -2[/tex]

When x = 6,

           [tex]\sf f(6) = \dfrac{2}{3}*6-4\\\\ f(6) =2*2-4 = 4-4\\\\ f(6)= 0[/tex]

When x = -6;

         [tex]\sf f(-6) =\dfrac{2}{3}*(-6)-4\\\\[/tex]

                   = 2*(-2)-4

                   = -4 - 4

          f(-6) = -8

Answer:

A?

Step-by-step explanation:

(x-3) (x+8)(x-1) would be the solution

Answer:

23 players.

Step-by-step explanation:

5 x 4 + 3 = 23

Answer:

Below.

Step-by-step explanation:

The 2 triangles are congruent ( By 2 angles and corresponding side).

The  2 marked angle are congruent so

5y - 30 = 2y + 6

3y = 36

y - 12.

So m < O = 5(12) - 30 = 30 degrees.

and m <N = 180 - 30 - 90 = 60 degrees,   (as there are 180degrees in triangle)

EN = IV = 14.

It is possible to find the measure of OE and ON by using trigonometry of a right triangle.

tan 30 = EN / OE

OE = EN / tan30

= 14/tan30

= 24.3.

sin 30 = 14/ON

ON = 14 / sin 30

= 28.

Answer: x = 0

Step-by-step explanation:

Given:

(x + 7)² = 49

Distribute:

x² + 7² = 49

Square:

x² + 49 = 49

Subtract 49 from both sides of the equation:

x² = 0

x = 0

  The only solution to this equation is 0.

-> We can also see this with graphing. See attached.

answer:

x=0

Step-by-step explanation:

(x+7)^2=49

take the square root of both sides

√(x+7)^2=√49

x+7=7

x=0

Answer:

5.25

Step-by-step explanation:

Using multiplication, if you do 4x5 you get 20, so adding .25 to the equation will add 1, therefore 20+1=21

So long story short 4 x 5.25 = 21

70d+6-9d=35+4d-2

70d-9d-4d= 35-2-6

57d= 27

d= 27÷57

Answer:

Hope it help

Step-by-step explanation:

1. B
2. A
3. C
4. C

5. D

Answer:

The perimeter of the rhombus is 20 units

Step-by-step explanation:

One important fact about a rhombus is that all four of its sides are equal, so we only need to solve for one side in order to find the perimeter. We can use the Pythagorean Theorem to solve the side length of the rhombus. Using line AD as a reference, we know that the length of AD is the square root of the change in x squared plus the change in y squared, or [tex]\sqrt{3^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex] units. Multiply the length of AD by 4 and you'll get that the perimeter of rhombus ABCD is 5 × 4 = 20 un.

The perimeter of the rhombus ABCD is 20 units.

Option B is the correct answer.

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add upto 180 degrees.

We have,

We can use the distance formula to find the length of each side of the rhombus, and then add them up to find the perimeter.

The distance between points A and B is:

[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\= \sqrt{(-2 - 1)^2 + (-3 - 1)^2}\\ = \sqrt{9 + 16}\\= \sqrt(25) \\= 5[/tex]

The distance between points B and C is:

[tex]BC = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\= \sqrt{(-5 - (-2))^2 + (1 - (-3))^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\= 5[/tex]

The distance between points C and D is:

[tex]CD = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(-2 - (-5))^2 + (5 - 1)^2}\\ = \sqrt{9 + 16}\\ = \sqrt{25}\\ = 5[/tex]

The distance between points D and A is:

[tex]DA = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(1 - (-2))^2 + (1 - 5)^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\ = 5[/tex]

Since a rhombus has all sides of equal length, we can add up the lengths of the sides to find the perimeter:

P = AB + BC + CD + DA = 5 + 5 + 5 + 5 = 20

Therefore,

The perimeter of the rhombus ABCD is 20 units.

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The computation of the word problem shows that the oranges will John have in 12 weeks will be 70 oranges.

The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks.

The computation will be:

= 10 + 5x

where x= number of weeks.

= 10 + 5x

= 10 + 5(12)

= 10 + 60

= 70 oranges

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Using it's concept, it is found that there is a 0.3 = 30% experimental probability of drawing green color.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that 15 out of 12 + 10 + 15 + 13 = 50 trials resulted in a green marble, hence the probability is given by:

p = 15/50 = 0.3.

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Answer:

Minimum: 0

Quartile Q1: 22.5

Median: 50

Quartile Q3: 77.5

Maximum: 100

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]\csc\theta=1.2711\\\\\frac{1}{\csc\theta}=\frac{1}{1.2711}\\ \\\sin\theta=\frac{1}{1.2711}\\ \\\theta=\sin^{-1}(\frac{1}{1.2711})\\\\\theta\approx51.88^\circ\approx52^\circ[/tex]

Remember the identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so [tex]\sin\theta=\frac{1}{\csc\theta}[/tex] and it makes the problem easier. Just remember to take the inverse sine (let me know if you are not sure what that means).

The value of the θ in csc θ = 1.2711 is 51.88°.

A trigonometric ratio is a ratio of the length of sides of a right-angle triangle. It relates the ratio of sides to the respective angle. The most common trigonometric ratios are sine, cosine, and tangent.

Given csc θ = 1.2711, we need to find the value of θ,

So, csc θ = 1.2711

θ = csc⁻¹(1.2711)

θ = 51.88°

Hence, the value of the θ in csc θ = 1.2711 is 51.88°.

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Answer: 189 people preferred running.

Step-by-step explanation: 35% is equal to 35/100. Since 540 people were surveyed, we can multiply 35/100 by 540 to find that 189 people out of 540 preferred running. Hope this helps!

The domain of the function is from the point -5 up to infinity that is [-5, infinity)

The domain are the independent value of a function for which it exists.

From the given graph, the domain will be the inteval of the function along the x-axis.

From the graph, you can see that the domain of the function is from the point -5 up to infinity that is [-5, infinity)

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Answer:

92

Step-by-step explanation:its right

The amount of time it will take for Ryan expect his laptop to be fully charged by following the example on the image attached.

16 %= 4m

28%= 15m

37%= 10m

51% = 24m

69% = 34m

81%= 17m

Based on his quick calculation at 1:17 and estimates that it will be fully charged by 2:30 is wrong because when you look at the i]steps above, you will see that it the minute used too charge varies.

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Answer:

The slope is 0

Step-by-step explanation:

Solve the equation for y

y+3=0

y = -3

The slope intercept form is

y = mx+b

where m is the slope and b is the y intercept

y = 0x-3

The slope is 0 and the y intercept is -3

Answer: The Slope Is 3

Step-by-step explanation:

You are missing the x after the 3.

considering the linear equation y=mx+b, the coefficient of x is ALWAYS the slope (rate of change)

Please put a picture next time :)

Answer:

Price before tax: $ 50.00

+ Sales tax (8.5%): $ 4.25

Total price including tax: $ 54.25

Step-by-step explanation:

A sales tax is a tax that is levied on the purchase of goods and services. Except for Alaska, Delaware, Montana, New Hampshire, and Oregon, all states in the United States and the District of Columbia charge a state sales tax when you buy goods or pay for services. Alaska, like many other states, allows local governments to levy local sales taxes. Certain kinds of goods are exempt from sales tax in some states. In Massachusetts, for example, there is no sales tax on ordinary supermarket goods. There are also extra tax surcharges in several states. Restaurants and motels in the hospitality business sometimes levy a tax rate greater than the state sales tax rate. Expected sales tax rates and potential tax surcharge rates should be checked with your state and area.

Sales Tax Calculation Formulas

Answer:

The number of walnut pounds we need to add is 10

Step-by-step explanation:

We need to make a mixture that costs $1 per pound.

That means that the total cost of our mixture, divided by the number of pounds must be equal to 1.

[tex]\frac{MixtureCost}{NumberOfPounds} = 1[/tex]

Well, we know that the total cost of our mixture is equal to the cost of the cashews + cost of walnuts.

[tex]MixtureCost = CashewsCost + WalnutsCost[/tex]

We also know that we'll buy 8 pounds of cashews that cost $1.25 each and some amount of pounds (which we'll call x) of walnuts that cost $0.80.

Knowing all of that, we can write this:

[tex]MixtureCost=8*1.25 + x*0.8[/tex]

If we make that multiplication, we have that

[tex]MixtureCost=10+x*0.8[/tex]

Now that we know the cost of our mixture, we just need to know the total number of pounds... But we already know that, don't we?

We know that there are 8 pounds of cashews and x pounds of walnuts, so here's what we can write:

[tex]NumberOfPounds=8+x[/tex]

Now, if we plug in the values we found in the first equation, here's what we have:

[tex]\frac{10+x*0.8}{8+x}=1[/tex]

The 8+x is dividing, so i'll pass it to the other side multiplying:

       [tex]10+0.8*x=x+8[/tex]

The 10 in the left side will go to the right side with a negative sign:

[tex]0.8x=x-2[/tex]

Now, if I pass the x from the right side to the left one changing signs:

[tex]0.8x-x=-2\\\\-0.2x=-2[/tex]

By changing signs from both sides, we have that:

[tex]0.2x = 2\\\\x = 10[/tex]

Therefore, the number of walnut pounds we need to add is 10

The year in which the two quantities will be equal is 2133.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

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Answer:

1 / 10000

Step-by-step explanation:

10^3 / 10^7

apply exponent rule: x^a / x^b = x^(a-b)

10^3 / 10^7 where a = 3 and b = 7

10^(3 - 7) = 10^(-4)

apply exponent rule: a^-b = 1 / a^b

1 / 10^(4)

10^4 = 10000

1 / 10000

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Answer:

10^-4

Step-by-step explanation:

In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4