Which of the following are lengths of the sides of a 30°-60°-90° triangle? A. 5√3, 15., 10√3 units B. 3, 4, and 5 units C. √3, 3√3 and 2√3 units D. 5√6, 12√6, and 13√6 units​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

law of sine

c/sin(C) = b/sin(B) = a/sin(A)

with the sides and corresponding angles being always opposite.

sin(90) = 1

sin(30) = 0.5

c, the Hypotenuse, is the longest side in such a right-angled triangle.

c/1 = b/0.5

b = c×0.5 = c/2

so, one side has to be half the length of the longest side (Hypotenuse).

the only answer meeting that criteria is A.

the longest side is 10×sqrt(3) = 17.32...

the side half of that is 5×sqrt(3).

and Pythagoras for such a triangle is then

c² = (c/2)² + a²

c² = c²/4 + a²

so, a² = 3c²/4

c² = c²/4 + 3c²/4

therefore we can check also the third side

15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²

correct.

A is such a triangle.


Related Questions

HELP
and hurry please
(picture)

Answers

Figure J on each row is correct.

find 1+1+1in binary number system of computer ​

Answers

Answer:

1

+1

+1

soln

here

1+1+1

=10+1

=11

Answer:

[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]

1+1=10

10+1=11

11 is answer.

How would the following triangle be classified

Answers

Answer:

C i think... sorry if im wrong

Step-by-step explanation:

A man can make 12 birdhouses in 8 hours. How many hours will it take him to make 30 birdhouses?

Answers

20 hours because he makes 6 birdhouses in 4 hours and 5*6=30 so you need to multiply 4 times 5 because you did it to the birdhouses and you get 20

Helpppp pls this involves compound interest

Answers

Answer:

[tex]f(x)=9500(1.0625)^x[/tex]

Step-by-step explanation:

Formula for compound interest / exponential functions:

[tex]f(x)=a(b)^x[/tex]

a represents the initial value, b represents the multiplier, and x is the duration / inputs.

In this case, 9,500 is the amount invested, so that's the initial value. The factor here is 6.25% which turned into a decimal is 0.625, but we have to add 1 to that since we have to include the original 100% from when we invested the $9,500. Lastly, x is the number of years, so that remains the same as the formula.

#LearnWithBrainly

910÷(−65) i don't understand

Answers

Answer:

-14

Step-by-step explanation:

Of course, 910 divided by 65 is 14, but since 65 was negative, the answer must be negative. If both numbers were negative, then it would be positive, but in this case, it would be negative as 65 was negative.

Which function has an inverse that is also a function?
G(x)=2x-3

Answers

Answer:

x/2+3/2

Step-by-step explanation:

1. The first three terms and the last term of a finite arithmetic sequence are - 92,- 88. -
84, ...,12.Find the number of terms in the sequence.
A. 20
B. 25
C. 27
D. 30

Answers

Common difference = -88 - (-92)
= 4
First term = -92
Formula -> Tn = First term + (n-1)d

12 = -92 + (n-1)(4)
104 = 4n-4
108= 4n
n= 27

Hope this helps, and please award brainliest if you could!

The number of terms in the given arithmetic sequence is 27 so option (C) will be correct.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given the AP;

- 92,- 88, -84, ...,12.

First term (a) = -92

Common difference(d) = -88 + 92 = 4

The nth term or last term = 12

Nth term is given as ;

⇒ a + (n - 1)d

12 = -92 + (n - 1)4

n - 1 = 26

n = 27

Hence "The number of terms in the given arithmetic sequence is 27".

For more about Arithmetic progression

https://brainly.com/question/20385181

#SPJ2

I need help with this

Answers

Answer:

No

Step-by-step explanation:

-10 is not greater than 9. A number that is more positive is more greater.

Answer:

No

Step-by-step explanation:

-10 < 9 according to the number line

Given H(t)=10-2t^2 , find h^-1 (t)

Answers

I’m
Not really sure to this question but I think 2+


Which expression is equivalent to 50En-1(n(4n+3))

Answers

Answer:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

Answer: D

Step-by-step explanation: Im from the future D is correct on edge yw :)

|x - 2] + 5 = 9

anyone know the answer?

Answers

Answer:

6

Step-by-step explanation:

replace x with 6, so 6-2+5=9

help.

Solve 4/y = 2/11.

The solution is y=__ ?

Answers

Answer:

See below.

Step-by-step explanation:

4/2=2

2*11=22

y=22

-hope it helps

Answer:

22

Step-by-step explanation:

4/22 is equivalent to 2/11 because 2/11 is 5 and a half times 2. So the second one has to be 5 and a half times 4. So the answer is 4/22.

A car can travel 156 kilometers on 13 liters of gasoline. How much gasoline will it need to go 480 kilometers?

Answers

Answer:

40

Step-by-step explanation:

To find how much gasoline is needed for 480 kilometers, we will need to find how much is needed per kilometers:

13 liters is used for 156 kilometers

156/13 = 12 so 1 liter gasoline is spent per 12 kilometers

So for 480 kilometers we would need 40 liter gasoline because

480/12 = 40

Am i right please help asap

Answers

Answer:

yea i think

Step-by-step explanation:

area of a triangle = (hb)/2

19x14 = 266

266/2 = 133

NEED HELP WITH MATH!!! 10pts

Answers

Answer:

D

Step-by-step explanation:

Divide the two equations using polynomial division and you will get your answer.

Hope this helps

The flashlight you are using to find your phone is a green flashlight which isn't good for finding things in the dark. You decide to go grab your yellow flashlight instead. Which wave property differs in the two flashlights causing this difference in color? Explain.

Answers

Answer:

their wavelength

Explanation:

A wave refers to disturbances or vibrations that travel from one medium or vacuum to another in an organized way, while wavelength refers to the distance between two consecutive peaks of waves.

For example, the wavelength of green light is 550nm (nanometre), while that of yellow light is 580nm (nanometre).  

This difference in the color of the flashlights is visible to the human eyes because the human eye is believed to be able to detect any wavelengths of light from 700 nanometres to about 400 nm for violet light.

Enter the values in order from least to greatest. |−2|, |3|, |−9|, |1|

Answers

Answer:

(-9), (-2), 1, 3

Step-by-step explanation:

Answer:

|1|, |-2|, |3|, |-9|

Step-by-step explanation:

Find the absolute values

Order from least to greatest

brainliest for correct answer

Answers

The answer is A because it says dilated by a scale factor of 2

ASAP for BRAINLIEST :fill in the blank if 19/24=3/x, then x is

Answers

Answer:

x= 72/19

Step-by-step explanation:

et's solve your equation step-by-step.

19

24

=

3

x

Step 1: Cross-multiply.

19

24

=

3

x

19*x=(3)*(24)

19x=72

Step 2: Divide both sides by 19.

(n − m)to the power of 2 for m = −3 and n = 7.

Answers

Answer:

100

Step-by-step explanation:

(n-m) = (7+3)

7+3 = 10

10 x 10 = 100

pls help) The vertices of a triangle are as follows: (2, 3), (4, -4), and (2, -2) If you dilate the triangle by a scale factor of 2, what are the vertices of the new triangle?
(4, 5), (6, -2), (4, 0)
(4, 6), (8, -8), (4, -4)
(4, 9), (16, 16), (4, 4)
(1, 1.5), (2, -2), (12, -12)

Answers

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Hope this helps

If a train travels 420 miles in 24 hours , what is it’s unit rate in travel ?

Answers

Answer:

17.5 miles per every hour

Step-by-step explanation:

All you do is divide 420 by 24 to find the unit

Unit rate = total miles/ total time.

Unit rate = 420/24 = 17.5 miles per hour

The value of a computer is given by the expression 2000+(-200t) where t is the time in years.

Answers

If it was one year it would be 2200 and you just keep adding 200 for each year.

loading Shmoop
2.

Will measures the mass of several objects using a balance that is able to measure objects to the nearest ten-thousandth of a gram. His measurements are shown in the table below.



What is the BEST approximation of the mean mass, in grams, of the objects?

F
4.69

G
4.687

H
4.6872

J
4.68718

K
4.687175

Answers

H I hope that’s helps

Answer:

hi can you help me with shmoop i need help

helpppp plsssssssssss​

Answers

Answer:

65 degrees

Step-by-step explanation:

corresponding angles

The density of gold is 19.3 g/cm?
A gold bar has volume 150 cm
Work out the mass of the gold bar.

Answers

Answer:

2895 grams

Step-by-step explanation:

Use the density formula, d = m/v, where m is the mass and v is the volume.

Plug in the density and volume into the formula, and solve for m:

d = m/v

19.3 = m/150

Multiply each side by 150:

2895 = m

So, the mass is 2895 grams

Determine the quadrant in which the terminal side of the given angle lies. 230°

Answers

Answer:

The quadrant for angle 230 is quadrant 3

Step-by-step explanation:

quadrant 3

The distance between city A and city B is 760km. A car starts to travel from A to B at 80 km/h at 8 o'clock. The other car starts to travel from B to A at 120 km/h at 10 o'clock. At what time will the cars meet?​

Answers

Speed of 1st car = 80km/h
Speed of 2nd car = 120km/h
So, 120+80= 200km/hr
Distance between city A and B is 760km
T= D/S
760/200
= 3.8

The cars will meet after 3.8 hours.

Hope this helps

Given the equation: = 4, which property should be applied first?

Answers

This is = 4 therefore no property is applied
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