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

A band is paid $50 for performing at a restaurant. For each customer
that eats at the restaurant, the band is paid $2 more. Evaluate m (100)

Answers

Answer:

If there are 100 customers, the band will be paid $250.

Step-by-step explanation:

50 + 2m

m = 100

50 + 2(100)

50 + 200

= 250

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

Please help me
I dont know how to answer this question
Answer All
Fast
Correctly
(you get 5 stars, a thanks, and BRAINLIEST)

Answers

Answer:

The lines are perpendicular, meaning if they were to intersect, they would form four right angles.

Your company makes game parts using 3-D printers. One customer wants a circular game coin that is 2.0 centimeter across and 0.5 centimeters thick. You need to estimate the of plastic you will need for each arch of 50 coins. How many cubic centimeters is that, rounded up if necessary to be a multiple of 10 cubic centimeters?

Answers

Answer:

80 cm^3

Step-by-step explanation:

The computation of the number of cubic centimeters rounded up to 10 cubic centimeter is shown below

For any type coin,

r = d ÷ 2

= 2 ÷ 2

= 1 cm

l = 0.5cm

For making 1 coin, the plastic required would be = Volume of coin

= πlr^2

= 3.14 × 0.5 × 1 × 1

= 1.57cm^3

Now For 50 coins,

Plastic needed is

= 50 × 1.57

= 78.5cm^3

= 80 cm^3

Write the next 3 terms of the arithmetic sequence

17,11,5,-1 _,_,_

Answers

Answer:

d=11-17=5-11=-6

so

-1-6=-7

-7-6=-13

-13-6=-19

Hope it will help

The formula for the volume of a cone is v= 1/3 xr^2 h. The radius, r, of the cone may be expressed as

Answers

Answer:

r=√(3v)/(xh)

Step-by-step explanation:

the volume of a cone is given as

v= 1/3 xr^2 h. Then we need the radius, r, of the cone

v= 1/3 xr^2 h

Let us cross multiply we have

3v= xr^2h

Make r^2 subject of the formula we have

r^2= 3v/xh

Find the square root of bother sides we have

r=√(3v)/(xh)

the radius, r, of the cone can be expressed as r=√(3v)/(xh)

Which set of measurements determines a unique triangle

A. 30°, 80°,100°

B. 20°, 70°, 90°

C. 15cm, 21cm, 30cm

D. 14ft, 17ft, 35ft

Answers

I think the awnser that will the most corrupt is D
The answer is D 14ft 17ft 35ft

what do i put in the blank?

Answers

Answer:for m find the difference between y and x and for b add all of them up

Step-by-step explanation:

14+x=-19
please solve for x

Answers

It’s -33 my work is in the picture

A map has a scale of 1 in : 14 mi. If
Victoria and Kumba are 2 in apart on the
map, then how far apart are the real cities?

Answers

Answer:

28 miles

Step-by-step explanation:

Since 1 inch represents 14 miles, we can find the actual distance by multiplying 14 by 2:

14(2)

= 28

So, the real cities are 28 miles apart.

Answer:

SoluTion :-

Let the unknown distance be x

[tex] \tt \dfrac{1}{14} = \dfrac{2}{x} [/tex]

By cross multiplication

[tex] \tt \: 14 \times 2 = 1 \times x[/tex]

[tex] \tt \: 28 = x[/tex]

Therefore

The far apart distance will be 28 miles.

(Y-2,2x+1)=(x-1,y+2)

Answers

Answer:

what we have to find in this question

PLEASE HELP.. THIS IS DUE TONIGHT I WILL MARK BRAINIEST

Answers

Answer:

1. Slope is -3

2. 85 meters high

3. y=60x

4. There are no solutions (C)

5. B Lana saves better at 40 dollars weekly while Elena saves 37 per week

Step-by-step explanation:

Choose the proper rationale. "In the compound interest equation, time

Answers

Answer:

The correct answer is:

c. Time is an exponent while the other units are factors.

Explanation:

In the compound interest formula, time is the exponent.

Since it is the exponent, this tells us how many times the base is multiplied by itself.  As such, it has a larger effect on the answer than any other piece of the equation.

if you were given the following statements write your conclusion :

Answers

Step-by-step explanation:

because vertically opposite angles always intersect at a point

Find the value if x=2+root3

Answers

Answer:

x=2+ root(3)

x= 2 + 1.73

x=3.74

Rate positively and give brainlist

a + 1/2b + 2/5 + 3/2a + 1/4b

Answers

Answer:

Your answer is 5a/2+3b/4+2/5

Step-by-step explanation:

Answer: The answer is 5a/2+3b/4+2/5

Step-by-step explanation: hope this helps! Merry Christmas!

Ms. Crump always includes a few bonus questions on her tests. Since if you get them wrong they don't count against your score, you might as well try them. However, on the last test she said you were only allowed to answer 2 of the given 5 questions offered. How many combinations of the 2 questions can you make?

Answers

Step-by-step explanation:

Possible combinations = 5C2 = 5 * 4 / 1 * 2 = 10.

Plz help!! Write the name of each quadrilateral and find the area

Answers

Answer:

Step-by-step explanation:

1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.

Area = Length X breadth = 6m X 5.1 m =30.6 metre square

2. Kite: it has two equal pairs of sides adjacent to each other

Area =(BD X CE )/2 = (8 X 12) /2 = 48

3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.

Area = base X height = 5.7 X 8 = 45.6 metres square

4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.

Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards

5. Trapezium: it has only one pair of sides parallel.

Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5

6. Kite: it has two equal pairs of sides adjacent to each other

Area =(EG X FH)/2 = (10 X 7) /2 = 35

Kim spent $33 on a magazine and
some candy bars. If the magazine
cost $5 and each candy bar cost
$4, then how many candy bars did

Answers

Answer:

Seven candy bars.

Explanation:

Suppose the number of candy bars purchased is x

The questions say he bought A magazine, means one magazine

the equation is:

4x + 5 = 33

4x = 33 – 5

4x = 28

x = 7

Kim bought 7 candy bars.

Hope this helps! :)

A 60 ounce glass bottle of juice sells for $4.20 while a 1.5 liter of the same juice sells in a plastic bottle for $3.06. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces)

Answers

The answer is letter b. $4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one. Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.

On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday

Answers

Answer:

22

Step-by-step explanation:

3.56 = 4

5.9 = 6

12.087 = 12

4+6+12 = 22

how to be good at math??? ​

Answers

Step-by-step explanation:

Do more and more practice daily

I need help on these questions​

Answers

Answer:

I dont know some of them but

2) M

3) R

4) V

5) G

6) H

7) C

8)Q

9) -9 8

please help the correct awnser gets brainlist
3 1/2 x 4

A. 3/4

B. 7 1/2

C. 12 3/4

D. 14

Answers

Answer:

Answer is D)14

Step-by-step explanation:

if u convert 3 1/2 into an improper fraction then it should look lie 7/2 the multiply that by 4 which equal 28/2 then divide that and it will equal 14

Please help me solve m<1 !!​

Answers

Step-by-step explanation:

Sum of angles in a triangle = 180°

Hence Angle 1 = 180° - 24° - 37° = 119°.

What is the volume of a pyramid that has the same base and height as this prism?
the length is 3 and the width is 3 and the height is 9

Answers

Answer:

Step-by-step explanation:

The answer is 18

Answer:

27

Step-by-step explanation:


A sum of money invested at the compound interest payable yearly has interest in
2 years and 4 years are Rs. 4,200 and Rs. 9282 respectively. Find the rate of
interest​

Answers

Answer:

49% and 30% respectively

Step-by-step explanation:

Step one:

Given data

Principal =  Rs. 4,200

Final Amount= Rs. 9282 respectively

time = 2 years and

time = 4 years

Required

The rate of interest for 2 and 4 years

Step two:

the compound interest formula is

A= P(1+r)^t

for 2 years

Substitute

[tex]9282= 4200(1+r)^2\\\\9282/4200= (1+r)^2[/tex]

[tex]1+r= \sqrt{\frac{9282}{ 4200} }\\\\1+r= \sqrt{2.21} \\\\1+r= 1.49\\\\r=1.49-1\\\\r= 0.49\\\\[/tex]

the rate is 49%

For 4 years we have

[tex]9282= 4200(1+r)^4\\\\9282/4200= (1+r)^4[/tex]

[tex]1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\[/tex]

the rate is 30%


Find a formula for the transformation of reflection across the line l with equation y = -x.

Answers

Answer:

The rule or formula for the transformation of reflection across the line l with equation y = -x will be:

P(x, y) ⇒ P'(-y, -x)

Step-by-step explanation:

Considering the point

[tex]P(x, y)[/tex]

If we reflect a point [tex]P(x, y)[/tex] across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of the point P flips their places and the sign of the coordinates reverses.

Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:

P(x, y) ⇒ P'(-y, -x)

For example, if we reflect a point, let suppose A(1, 3), across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of point A flips their places and the sign of the coordinates reverses.

Hence,

A(1, 3) ⇒ A'(-3, -1)

PLEASE HELP ME ASAP! ANYONE THATS WILLING TO GIVE THE RIGHT ANSWER.

Answers

Answer:

The perimeter of the bedroom floor is 44 ft

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and length L, the perimeter is the sum of all four sides:

P = 2W + 2L

We know a rug of dimensions 6 ft x 10 ft is located at the center of a bedroom floor and there are 1.5 ft exposed on all four sides of the bedroom.

Adding this length to each side, we have the dimensions of the bedroom as:

6 + 1.5 + 1.5 = 9 ft

10 + 1.5 + 1.5 = 13 ft

Thus, the perimeter of the bedroom floor is:

P = 2*9 + 2*13 = 44 ft

The perimeter of the bedroom floor is 44 ft

A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360

Answers

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

The ratio of dogs to cats 2 to 5. If there are 20 cats, how many dogs are there?

Answers

Answer:

50

Step-by-step explanation:

2 * 10 = 20

5 * 10 = 50

therefore there are 50 dogs

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