Which triangle is similar to △ABC if sin(A) = One-fourth, cos(A) = StartFraction StartRoot 15 EndRoot Over 4 EndFraction, and tan(A) = StartFraction 1 Over StartRoot 15 EndRoot EndFraction?

Answers

Answer 1

Answer:

ΔXYZ

Step-by-step explanation:

Trigonometric identities are equations which are true for right angled triangles. They are:

sin(A) = opposite / hypotenuse, cos(A) = adjacent / hypotenuse, tan(A) = opposite / adjacent.

Given triangle ABC with ∠A with side BC opposite to the angle, ∠B with side AC opposite to the angle, ∠C with side AB opposite to the angle.

sin(A) = opposite / hypotenuse = BC / AC = 1/4

BC = 1, AC = 4

cos(A) = adjacent / hypotenuse = AB / AC = √15 / 4

AB = √15

tan(A) = opposite / adjacent = BC / AB = 1 / √15

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

ΔXYZ and ΔABC are similar because the ratio of their corresponding sides are in the same proportion.

For adjacent side; XZ / AB = 6√15 / √15 = 6

For opposite side; YZ / BC = 6/1 = 6

For hypotenuse side; XY / AC = 24 / 4 = 6

Which Triangle Is Similar To ABC If Sin(A) = One-fourth, Cos(A) = StartFraction StartRoot 15 EndRoot
Answer 2

Answer:

D. ΔXYZ

Step-by-step explanation:

Which Triangle Is Similar To ABC If Sin(A) = One-fourth, Cos(A) = StartFraction StartRoot 15 EndRoot

Related Questions

In AHIJ, ZH ZJ, JH = 10 and IJ = 14. Find the length of HI?

Answers

Answer:Its 1.3

Step-by-step explanation:

I took the test

For points
What is 10+18=

Answers

Answer:

Answer is 28.

Step-by-step explanation:

and thanks for free points.

Answer: 28

Step-by-step explanation:

Can someone please help me please bro. Find the value of x and the length of each side. THIS IS DUED BY 10 o’clock tonight please help me out I don’t really understand it

Answers

9514 1404 393

Answer:

  x = 2, y = 10, sides = 15

Step-by-step explanation:

The hash marks tell you all of the sides are the same length. You can use this fact to relate the side length expressions to each other to solve for the variables.

We see that x appears in the left and right expressions only. So we can find x by setting those expressions equal to each other.

  8x -1 = 4x +7

  4x = 8 . . . . . . . . . . . . . add 1-4x to both sides of the equation

  x = 2 . . . . . . . . . . . . . . divide by 4; the value of x

  8x -1 = 8(2) -1 = 15 . . . the length of the sides

Now, we can find y using an expression that involves y. The top expression is the simplest:

  y +5 = 15 . . . . . the length of the side we just found

  y = 10 . . . . . . . subtract 5

The variable values are ...

  x = 2

  y = 10

The side lengths are 15.

As
MZLON = 113
mZMON = 2x +33°
M

mZLOM = 3x+ 20°
Find mZMON:
Pro

Answers

Answer:

Step-by-step explanation:

113= (2x+33)+(3x+20)

113=5x+53

60=5x

X=12

NOT DONE YET

substitute x value into MON equation to find angle measure

you get 57 degrees

Pls help Asap 15 points!

Given that 7 x − 7 y = 18
Find x when y = − 6
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

Your answer is x = -24

Hope that this is helpful. Vote and like it

PLZZZ HELP THIS IS A BIG PART OF MY GRADE!!!!!! PLZ DON'T JUST TAKE POINTS PLZZZZ. I ONLY NEED B!!

Answers

Answer: I need more evindence to answered it but I say its the third one

Step-by-step explanation:

Pls help Asap
I mark u brainliest

Answers

the answer is B i did this before hope this helps

Ben earns $10 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday. What is the least number of deliveries he must make to reach his goal? a) Write an inequality to model the situation. Use d to represent the number of deliveries

Answers

Answer:

the number of deliveries would be 13

And, the equation is d ≥ 12.50

Step-by-step explanation:

The inequality function is given below:

Let us assume the d be the number of deliveries

10 × 8 + 6 × d ≥ 155

80 + 6d ≥ 155

6d ≥ 155 - 80

6d ≥ 75

d ≥ 75 ÷ 6

d ≥ 12.50

hence, the number of deliveries would be 13

And, the equation is d ≥ 12.50

Solve the right triangle.​

Answers

Answer:

UW=[tex]2\sqrt{66}[/tex] (already solved for you)

UV=[tex]2\sqrt{33}[/tex]

m∠V=45°

Step-by-step explanation:

You're solving for sine because opp/hyp

sin(45°)*[tex]2\sqrt{66}[/tex]=UV

UV=[tex]2\sqrt{33}[/tex]

2) Now you need to solve for an inverse, and since you know UV, you can use inverse cosine (cos^-1) to find your answer

cos^-1([tex]\frac{11.4891}{2\sqrt{66}}[/tex])

m∠V=45°

A delicious vegetable sandwich costs $4.25 plus 6% sales
tax. What is the total cost of purchasing the sandwich?
please answer asap

Answers

Answer:

Total cost: $4.505

Step-by-step explanaton:

Mulptiply 6% by 4.25 and add 4.25 to get $4.505

If it was simplified, the answer is $4.51

A delicious vegetable sandwich costs $4.25 plus 6% sales

tax. What is the total cost of purchasing the sandwich?

$4.505

2(x - 1) = 4x + 3 explain your answer

Answers

Answer:

x = -2

Step-by-step explanation:

2 (x - 1) = 4x + 3

use the distributive property

2x - 2 = 4x + 3

    +2          +2

2x = 4x + 5

-4x  -4x      

-2x = 5

divide by -2

x = - 5/2

Answer:

Step-by-step explanation:

Here you go mate߷

Step 1߷

2(x - 1) = 4x + 3  Question߷

Step 2߷

2(x - 1) = 4x + 3  Simplify߷

Step 3߷

2(x - 1) = 4x + 3  Add 2 to sides߷

2x=4x+5߷

Step 4߷

2x=4x+5  subtract 4x from sides߷

-2x=5߷

Step 5߷

-2x=5  Divide sides by -2߷

answer߷

x=-5/2߷

Hope this helps߷

please help mee (image included)

Answers

Answer:

B

Step-by-step explanation:

It seems more reasonable

HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ,GET POINTS AND I WILL ALSO FOLLOW YOU! THANKS!
xoxo

Answers

Answer:

(a)Yellow=10

Green=38

Relative Frequency of Blue =0.32

Relative Frequency of Red =0.2

Relative Frequency of Green =0.38

(b)50 Red balls

Step-by-step explanation:

In 100 trials, the following were recorded.

Frequency of Blue Balls = 32

Frequency of Red Balls = 20

Relative Frequency of Yellow Balls =0.1

Now, Relative Frequency =Number of Outcome of an Event ÷ Total Number of Trials in the Experiment

Total Number of Trials =100

Therefore:

Therefore, Number of Outcomes of Green balls=100-(32+20+10)

=100-62

Number of Outcomes of Green balls=38

(b)If the Number of Trials is Increased to 250

Expected Outcome of Red Balls =Relative Frequency of Red Balls X 250

She should expect 50 red balls.

The population of a city has been increasing 3.6% each year. The population in 2005 was 80,000.

Answers

What’s the question?


Jose is planning to drive from New York City to Dallas in his car. Jose was curious and started to complete the table shown to indicate how far in mles he can travel for each gallon of gas he uses

How far did Jose travel with 10 gallons of gas?

Answers

Answer:

200 miles

Step-by-step explanation:

you travel 20 miles for 1 gallon, so 10*20=200miles

Answer:

200

Step-by-step explanation:

if you have to dive its 20 times 10 because 20 miles 10 dollars

It takes Serina 0.25 hours to drive to school. Her route is 16 km long. What is Serina’s average speed on her drive to school?

Answers

Answer:

64 km/hr

Step-by-step explanation:

how do you represent 1 and 1 half and 1 half in a picture

Answers

Add them up till it makes a whole

Please giving away a lot of points​

Answers

Answer:

umm J.

Step-by-step explanation:

(didn't u select the answer?)

Answer:

the answer is j

Step-by-step explanation:

Suppose two different diameters are drawn on a circle. Explain how you can use these diameters to find the center of the circle.

Answers

Answer:

the diameter of a circle always passes the center, by knowing two diameters, you know the center is where they intersect

Step-by-step explanation:

yeah

HELP PLEASE!! I'm giving brainliest to the person who gives me a full correct answer! you'll get 50 points for answering and when i give you brainliest it will give you the other 50 automatically!!!! thank you so much

Answers

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

1)

Fact :: Reason

∠DCE = 90° :: sin ∠EDC = sin 30° = 1/2 = 8/16 = CE/DE

∠ACB = 90° :: ∠DCE and ∠ACB are vertical angles

∠ABC = 60° :: 180 - ∠CAB - ∠ACB = 60°

∠CED = 60° :: 180 - ∠EDC - ∠DCE = 60°

△CDE ⁓ △ABC :: Same angles (AAA)

2)

Let's solve for AB

sin 30° = 1/2

sin 30° = BC/AB = 15/AB

1/2 = 15/AB ⇒ AB = 30

AB = 30 in

Let's solve for AC (using another way)

AC/12 = 15/8

AC = 12 * 15 / 8   = 22.5

AC = 22.5 in

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

Hope I could help you! If there was anything you didn't understand, don't be afraid to ask in the comments below!

Have a good day! (●'◡'●)

find -3/5(-1/1/3) show your work

Answers

Answer:

1 4/5

Step-by-step explanation:

-3/5(-1/1/3) = -3/5(-3) = 9/5 = 1 4/5

They are right, I looked it up

BICONDITIONAL: A polygon is a triangle if and only if it has three sides.
INVERSE:
CONVERSE:
CONTRAPOSITIVE:

Answers

Answer:

converse

Step-by-step explanation:

if the conditional statement is “If Q then P

What is the value of c?

Answers

the answer is c=8

hope that helps lolol

Answer: c=8

Step-by-step explanation: All three angles in a triangle add up to 180 degrees so 9c+66+42=180. First add 66 and 42 which is 108, so now you have 9c+108=180. Then subtract 108 from both sides to get 9c=72. Finally, divide each side by 9 to isolate c and you get c=8

Help please !!!!! Which do you think it is

Answers

I think it’s the first one
Sorry if wrong
Third option 90 clockwise 7 down

(2ax² + bx^2) – (2ay2 + by^2)

Answers

Simplified is 2ax^2 + bx^2 - 2ay^2 - by^2

The sales tax on a $750 computer at J&M Computers is $48.75. What is the sales tax rate?

Answers

Answer:

Step-by-step explanation:

So 750 and 48.75

so tax is a percent of the whole or 750

750=100%

48.75=x%

750/100=48.75/x

solve for x

multiply both sides by x

750x/100=48.75

multiply both sides by 100

750x=4875

divide both sides by 750

x=6.5

the asnwe ris 6.5%


Given: AABC-ADEF
Determine the measure of DF

A)3 cm

B)4 cm

C)5 cm

D)6 cm

Answers

The answer is B because those triangles are congruent

aaron walks from his sisters house to his cousins house, a distance of 4 miles, in 80 minutes. what's the equation

Answers

Answer:

4 miles=80 min?

Step-by-step explanation:

Question is confusin bruv

how is finding the volume of a cone like finding the volume of a pyramid? how is it different? HELP ME PLZ!!!

Answers

Answer:

15.7 percent of 80 = 12.56

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 80.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$80=100\%$

Step 4: Similarly, $x=15.7\%$.

Step 5: This results in a pair of simple equations:

$80=100\%(1)$.

$x=15.7\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{80}{x}=\frac{100\%}{15.7\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{80}=\frac{15.7}{100}$

$\Rightarrow x=12.56$

Therefore, $15.7\%$ of $80$ is $12.56$

help me plssssssssssssssssss

Answers

RST is 124
180-56=124
Other Questions
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