Find the exact value of tan A in simplest radical form.

Find The Exact Value Of Tan A In Simplest Radical Form.

Answers

Answer 1

Answer:

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

Explanation:

tan = opposite/adjacent

tan A = BC/AC

tan A = 5/√75

tan A = 5/√(25×3)

tan A = 5/5√3

tan A = 1/√3

tan A = 1/√3 × √3/√3 (rationalizing the denominator)

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]


Related Questions

How many terms are in the expression x + 4x-3?
O A. 5
O B. 3
O C. 6
O D. 4

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

B. 3

Thanks Hope it helps
B. 3

The terms are x, 4x, and -3

Which is true of the proportional relationship below? Bread Recipe 10 8. 6 Flour (cups) 2. 0 1 2 3 4 5 6 Number of Eggs​

Answers

Answer:

Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.

Step-by-step explanation:

Which of the following lists is in order from least to greatest?
A. -2, 5, 4, 3^2
B. -2, 4, 3^2,5
C. 5,4, 3^2, -2
D. -2, 3^2, 4, 5

Answers

Answer:

Are you sure the question is right?

only answer if you know this if i see a link its a report
∞√5±x+5√15x+∞=

Answers

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Is (8, 3) a solution to the system?
- x + 4y = 4
- x + 3y = 1

Answers

Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

as

- x + 4y = 4

+ x - 3y = -1

and combine like terms.  The result is y = 3.  Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.

Find the x and y intercept of 8x+10y=15. NO LINK TO ANSWER PLEASE TYPE

Answers

Answer:

x intercept: 15/8 and yintercerpt is 3/2

Step-by-step explanation:

to find y intercept you have to put equation in standard form.

10y=-8x+15

y=--4/5x+3/2

x intercept is when y=0, so we plug in 0

0=-4/5x+3/2

4/5x=3/2

x=15/8

9.4 ÷ 20
SHEEEEEEEEEEEEEEEESH

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]9.4 \div 20 \\ = 0.47[/tex]

Round 91738 to the nearest ten thousand. Enter your answer in the box
below.

Answer here

Answers

the answer is 90,000 hope this helps

Answer:

90,000

Step-by-step explanation:

I will give braillents The price of bananas can be found using the equation: P = $0.59n, where P is the price and n is the number of pounds of bananas. What is the constant of proportionality?

Group of answer choices

$0.50

$0.59

$1.18

$1.00

Answers

Answer: $0.59

Step-by-step explanation: constant of proportionality is the number by the variable

Match each equation to its description
A.Circle centered at (0,-4) with radius of 3
1.(x-1)^2 + y^2=9
2.x^2+(y+4)^2=9
3. (x-1) +( y - 4)^2=3
4.(x - 1)^2+(y - 4)^2=9
5.(x - 1)^2 + (y + 4)^2=3
Which is the correct answer
A.1
B.2
C.3
D.4
E.5

Answers

Answer:

[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]

Step-by-step explanation:

The equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center of the circle is (0, -4) and the radius is 3. Therefore:

h= 0 y= -4 r=3

Substitute the values into the formula.

[tex](x-0)^2+(y--4)^2=(3)^2[/tex]

Solve the first parentheses.

(x-0)² = (x)²= x²

[tex]x^2+(y--4)^2=(3)^2[/tex]

Solve the next parentheses.

(y--4)² = (y+4)²

[tex]x^2+(y+4)^2=(3)^2[/tex]

Solve the exponent.

(3)²= 3*3=9

[tex]x^2+(y+4)^2=9[/tex]

This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.

Is the number √5 rational, irrational, both rational and irrational, or neither rational nor irrational?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The square root of 5 ([tex]\sqrt{5}[/tex]) is irrational.

»»————- ★ ————-««  

Here’s why:  

A rational number is a number that can be rewritten as a fraction of two integers with a nonzero denominator.  Rational numbers include integers, fractions, terminating decimal, or repeating decimals.A square root that is perfect would be rational. A non-perfect square root is irrational.  

⸻⸻⸻⸻

Since the square root of 5 is not a perfect square, it would be irrational.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find x ??????????????????????

Answers

Answer:

x = 2√58

Step-by-step explanation:

using the Pythagorean theorem:

x² = 14² + 6² = 232

x = √232 = 2√58

Using the graph, determine the coordinates of the roots of the parabola.

Answers

Answer:

(7, 0) and (3,0)

Step-by-step explanation:

On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!

Answer:

-7 and -3

Step-by-step explanation:

Hello!

The roots of a parabola are the points at which the graph intersects the x-axis. The x-axis is located at y = 0.

As you can see, the graph's vertex is below the x-axis and opens upwards. This means the graph has 2 roots.

The points of intersection are:

(-7,0)(-3,0)

The roots of the parabola are -7 and -3.

y=x+3
y=1/3x-5
solve and graph

Answers

Answer:

(-9, -12)

Step-by-step explanation:

Given the expressions

y=x+3

y=1/3x-5

Equating both expressions;

y = y

x + 3 = 1/3x - 5

x - 1/3x = -5 -3

2/3 x = -8

x/3 = -4

x = -12

Since

y = x+ 3

y = -12 + 3

x = -9

Hence the required solution is (-9, -12)

show work

Simplify this expression by combining the like terms

7y + 10 + 3y - 4 - 6y

Answers

In this problem “like terms” has two groups: one with a number and y, and one with just numbers. First I’ll rewrite the equation with the terms in a different order, grouped with like terms. Then we’ll do the math for them:

7y + 10 + 3y - 4 - 6y

= 7y + 3y - 6y + 10 - 4

= 10y - 6y + 6

= 4y + 6

Let me know if you have questions on this.

If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?

Answers

Answer:

160.13

Step-by-step explanation:

you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150

What is the lenghth of a baseball cap 30 kilometers or 30 meters or 30 millimeters or 30 centimeters

Answers

Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

Help !!!!!!!!! !!!!!!!!!!!!

Answers

Answer:

28

Step-by-step explanation:

Add up the angles of the ones given so

40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28

I hope this helped!

Answer:

28°

Step-by-step explanation:

40° + 112 ° + angleCBA =180

152°+ angleCBA= 180

angle CBA=180° - 152°

angle CBA= 28°

A rectangular prism has a volume of 100 cm3. The length of the prism 25 cm, the height is 2 cm, but the width is unknown. What is the width of the rectangular prism?
4cm
2cm
3cm
none of the above

Answers

Answer:

w = 2 cm

Step-by-step explanation:

100 = 25 x 2 x w

w = 2 cm

The width of the rectangular prism is 2 cm.

What is volume?

Volume is the amount of space occupied by a solid shape.

To calculate the width of the rectangular prism we use the formula below.

Formula:

V = lwh................. Equation 1

Where:

l = Length of the prismw = Width of the prismh = Height of the prismV = Volume of the prism

Make w the subject of the equation

w = V/lh................Equation 2

From the question,

Given:

l = 25 cmh = 2 cmV = 100 cm³

Substitute these values into equation 2

w = 100/(25×2)w = 100/50w = 2 cm

Hence, the width of the rectangular prism is 2 cm.

Learn more about volume here: https://brainly.com/question/1972490

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Find the surface area of the composite figure.
SA = [ ? ] cm^2

Answers

…..lol sorry don’t know

Addison prepares 9 cups of salsa her cookout. she divided it into 1/4 of cup servings how many servings are available.A (12 servings) B (14 servings) C (15 servings) D ( 36 servings)

Answers

Answer:

The answer is D or 36

Step-by-step explanation:

Divide the cups by servings

9/.25=36

how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?

Answers

Answer:

Greater than 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 3a

3a > 45

a > 15

Help me plz and show work <3

Answers

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

here's your solution

=> 7y + 2x = 5

=> 7y = 5 - 2x

=> y = (5-2x)/7

[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]

Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one night a week at the school's concession stand. The number of items sold at the concession stand to the first 20 customers on three different nights is represented on the dot plots below. Find the interquartile range, IQR, for each dot plot. Then, place the students in order from greatest to least IQR.

Answers

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

The solution is, ordering the IQR in descending order :

Emma, Sally, Olivia

What is IQR?

The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.

here, we have,

Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;

Writing out each score on the dot plot to calculate the statistical values :

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (5th + 6th) terms

Q1 = (9 + 9) / 2 = 9

Q3 = 3/4(n+)th term

Q3 = (12 + 13) ÷ 2 = 12.5

IQR = Q3 - Q1

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 3/4(n+1)th term

Q3 = (10 + 11) ÷ 2 = 10.5

IQR = Q3 - Q1

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 1/4(n+1)th term

Q3 = (10 + 10) ÷ 2 = 10

IQR = Q3 - Q1

IQR = 10 - 7.5 = 2.5

Therefore, ordering the IQR in descending order :

Emma, Sally, Olivia

Learn more on IQR :

brainly.com/question/18006476

#SPJ3

complete question:

Drag each tile to the correct box.

Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.

Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.

Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)

Answers

(c) 7

7×(12 + 5) = (7×12) + (7× 5)

Explanation:

Distributive property say that multiplication an division can be distributed over parenthesis.

a x (b+c) = a x b + a x c

(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?

Answers

Answer:

+ or - 0.044

Step-by-step explanation:

The margin of error is 0.044.

What is a Margin of Error?

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

Learn more about margin of error here:

https://brainly.com/question/10501147

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What is 3½ tons =___pounds?​

Answers

Answer:

7,000 LBs

Step-by-step explanation:

1 ton is 2,000, half of a ton is 1,000

Answer:

7000 lbs

Step-by-step explanation:

The formula for tons to pounds is to multiply the value by 2000

The diagram shows a triangle.

What is the value of b?

Answers

The value of B is =31 .

the value of b is 31

I need help with this problem

Answers

Answer:

what she sells each t-shirt for.

Step-by-step explanation:

if f(x) is the profit and x=# of t-shirts,

the rate of change is 8, which is what she sells each t-shirt for.

The 100 that is subtracted, is the money that she spent on materials.

For eg, if she sells 8 t-shirts she makes $64, but she spent $100 before and didn't gain any profit, having not made up $36 from what her original spending was.

The ratio of mass of kangaroo to the mass of a penguin is 7:2. The kangaroo weighs 56 kg. What is the mass of penguin?

Answers

Answer: 16

Step-by-step explanation:

I think my answer is correct because, if kangaroo is 56  kg and the ration kangaroo to penguin  was 7:2 I think we just have to divide 7 by 56. And 56 divided by 7 equals=8. and Since the pengiuins ration is 2 we just have to multiply 8 and 2. And 8 times 2 equals 16.

#[tex]Anime[/tex][tex]Power[/tex]

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