1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
satela [25.4K]
3 years ago
6

In triangle abc, angle A is the right angle. What is the value of y?

Mathematics
2 answers:
Nesterboy [21]3 years ago
4 0

Answer:

7sinΠ/6 (A)

Step-by-step explanation:

Since the triangle given is a right angled triangle, the SOH CAH TOA method will be employed.

Given opposite side to be 'y' (the side facing the acute angle)

The hypotenuse = 7feet(the longest side)

Any the angle theta = 30°

According to SOH;

sin(theta) = opposite/Hypotenuse

Sin30° = y/7

y = 7sin30°

Note that 180°=Πrad

30° = Π/6rad

y = 7sinΠ/6 (A)

Natalka [10]3 years ago
3 0

Answer:

A

Step-by-step explanation:

In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.

Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.

Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:

Sin(30)=\frac{y}{7}

We solve for y:

Sin(30)=\frac{y}{7}\\y = 7 Sin(30)

Since the answer choice has angles in radians, we recall 30 degrees is \frac{\pi}{6} radians.

Thus, the correct answer is  7Sin(\frac{\pi}{6}), or option A

You might be interested in
What is the simplified form of x+8/4-x+5/4?
GaryK [48]

Hzhsususuhhhdhdhhddhdhhdjxxj

7 0
3 years ago
Read 2 more answers
How to find inequalities
geniusboy [140]

Answer:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Hope that helped happy holidays!

6 0
3 years ago
I WILL MARK YOU AS BRAINLIEST IF YOU ARE CORRECT. Look at the image below.
Masteriza [31]

Answer:

x=8.06

Step-by-step explanation:

find you half base and use PYTHAGORAS THEOREM to find the opposite side (x)

6 0
3 years ago
|-2 + 5 | - |3 - 12| - 13=
zavuch27 [327]

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

5 0
2 years ago
3 thank you so much!!!
Alecsey [184]

Answer:

(6,2)

Step-by-step explanation:

all steps are shown and pictured

4 0
3 years ago
Other questions:
  • Given: FKLM is a trapezoid, KL = 26 FM = 49, FK = 10, m∠F = 48º Find: Area of FKLM
    11·1 answer
  • Use the distributive property to write -6 x 2 + (-6) x 3 in factored form
    10·1 answer
  • List 3 values that would make this in quality true. 48<6n
    13·1 answer
  • 80% of what # is 16?
    15·1 answer
  • 2 is 3 more than 5 times a number divided by 4
    5·1 answer
  • During a carpet sale, a carpet company sold $6,792 worth of carpet. If they sold 849 square yards of carpet, what was the averag
    15·1 answer
  • 2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasonin
    5·1 answer
  • Olivia is making scarves. Each scarf will have 7 rectangles, and 6 7 of the rectangles will be purple. How many purple rectangle
    8·1 answer
  • Which of these triangles appears notto be congruent to any others shown
    15·1 answer
  • 9/16+7/8=<br><br> A.)1-3/16inches<br> B.)1-7/16inches<br> C.)1-11/16inches<br> D.)1/-13/16inches
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!