Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 and the length of B C is 6. Angle A B C is 60 degrees and angle B A C is 30 degrees.
What is the value of tan(60°)?
One-half
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 1 Over StartRoot 3 EndRoot EndFraction

Answers

Answer 1

Answer: 2 is the answer

Step-by-step explanation:

did it on ed

Answer 2

The value of tan 60° in the triangle ABC is √3

Right angle triangle:

Right angle triangle have one of its angles as 90 degrees. The sides are called hypotenuse, adjacent and opposite side base on the angles.

Therefore,

ΔABC

∠C = 90°

AB = 12

BC = 6

∠B = 60°

∠A = 30°

Therefore,

tan 60° = opposite / adjacent

AC = √12² - 6² = √108 = 6√3

tan 60° = AC / BC

tan 60° = 6√3 / 6

tan 60° = √3

learn more on right angle triangle here: https://brainly.com/question/16627295


Related Questions

Plz help!! (I just copied and pasted it)
The video store rents DVDs for $3.00 each and video games for $4.50 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $18. Graph the equation and give me three combinations of DVD’S and video games.

Answers

Step-by-step explanation:

3d + 4.5g <= 18.

3 possible combinations are:

0 DVD and 4 Video games,

1 DVD and 3 Video games,

2 DVDs and 2 Video games.

Answer:

3 possible combinations are:

0 DVD and 4 Video games

1 DVD and 3 Video games

2 DVDs and 2 Video games

Step-by-step explanation:

Write the simplest polynomial function for each set of zeros

Zeros = -2, 5, -1

Answers

Answer:

The polynomial is ;

x^3 -2x^2 -13x - 10

Step-by-step explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10

The table below compares a number of shirts bought at a store to the cost of the shirts
4
Number of Shirts
Cost In Dollars
1
1 x 10
2
2 x 10
3
3 x 10
4 x 10
a. Write an expression that represents the cost of s number of shirts,

Answers

Answer:

doom

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
16
30

Answers

Answer:

the answer is 34.

Step-by-step explanation:

the Phythagorean theorem is a^2 + b^2 = c^2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Mary has some money to purchase furniture for her home. She bought a television that cost $1400. She spent 40% of the remaining money on a bed. If the bed cost 25% as much as the total amount of money she had at first. What is the difference between the cost of the television set and the bed?

Answers

Answer:

The difference $2.733.30

Step-by-step explanation:

Let the total money be x

The remaining money will be (x-1400)

40% of this on a bed

= 40/100 (x-1400)

= 0.4(x-1400)

cost of bed is 25% of x

Thus;

0.4(x-1400) = 25/100 * x

0.4(x-1400) = 0.25x

0.4x - 560 = 0.25x

0.4x-0.25x = 560

= 0.15x = 560

x = 560/0.15

So the difference between the tv and. bed, will be ;

560/0.15 - 1400

= (560-210)/0.15 = $2,333.33

A cop wrote 380 citations for warnings and speeding tickets. Of these there were 40 more warnings and speeding tickets. How many warnings and speeding tickets were issued?

Answers

Answer:

210 warnings and 170 speeding tickets

Step-by-step explanation:

Add them together and you get 380.

210 is 40 more than 170

I NEED HELP WITH THIS ( IM IN LIVE ADN I NEED IT DONE TODAY)
all you need to do is explain it.

Answers

5


Explanation: To find the rate of change we need to plug the numbers into the formula of x1-x2/y1-y2


So we need to get the biggest and smallest numbers for each row so the equation would look like this


500-300/40-0 so the answer would be 5 have a nice day (:

PLEASE HELP ME.
The coordinates for the vertices of quadrilateral ABCD are A(-3,2) B(-2,6) C(2,7) and D(1,3). Use this information to answer the questions below.
Slope of side AB:
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Slope of side CD
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Slope of side DA
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Classify the quadrilateral
A. Square
B. Rectangule
C. Rhombus
D. Parallelogram
E. Trapezoid​

Answers

Answer:

B, B, A

Step-by-step explanation:

I don't know number 4 answer. hope I helped

Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *

Answers

it is not a valid statistical question

21. Translate the statement below.
"A number is no more than 50"
A. x < 50
B. x less than or equal to 50
C. x > 50
D. x is greater than or equal to 50

Answers

the answer is B less than or equal to 50

A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Answers

Answer:

The answer is below

Step-by-step explanation:

A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure

Solution:

The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:

V'(x) = 0

V(x) = x(1500 - x) = length * breadth.

This means the enclosure has a length of x and a width of 1500 - x

Given that:

v(x)=1500x-x². Hence:

V'(x) = 1500 -2x

V'(x) = 0

1500 -2x = 0

2x = 1500

x = 1500 / 2

x = 750 feet

The maximum area = 1500(750) - 750² = 562500

The maximum area = 562500 feet²

Answer:

562500 feet²

Step-by-step explanation:

Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)

Answers

Answer:

y=-5x-8

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Step by step how do you solve ratios and proportions?

Answers

Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

Select all of the points that are in the solution set graphed below.

Answers

B. (2,4) and D. (7,1) are both in the equation

the horizontal line is the x-axis and the points are written by (x,y) so the x is the first number written

we can check that 2,4 is a point on the line by finding 2,4 on the graph. once we find it, we see it coincides with the line as does 7,1

(this is just an explanation in case u want to understand why)

What is the range of this function? Help

Answers

Answer:

Range is the extension of the values across the x-y plane. We can see the data extends as far as -13 and as far as 11 so (-13,11)

help helppp help i need answerr thank Uuuuuuuuu​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The angles are vertical and congruent, that is

x - 10 = 125 ( add 10 to both sides )

x = 135

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

(b)

Supplementary angles sum to 180°

The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then

2x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus

2x = 2 × 36 = 72

3x = 3 × 36 = 108

Then the 2 angles are 72° and 108°

Now you can mark them brainliest.

Help I give 20 points answer ASAP

Answers

Answer:

-1

Step-by-step explanation:

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