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
beks73 [17]
3 years ago
12

Find the value of y.​

Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

=6√3 the third option.

Step-by-step explanation:

We can use the Pythagoras theorem to find the value of y. We need two equations that include y.

a²+b²=c²

c=9+3=12

x²+y²=12²

x²=144 - y².........i (This is the first equation)

We can also express it in another way but let us find the perpendicular dropped to c.

perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.

y²=(x²-9)+9²

y²=x²+72

x²=y²-72....ii( this is the second equation

Let us equate the two.

y²-72=144-y²

2y²=144+72

2y²=216

y²=108

y=√108

In Surd form √108=√(36×3)=6√3

y=6√3

You might be interested in
Simplify the expressions:
Blizzard [7]

Answer:

a. (7x²+2) + (2x²+3)

= 9x² + 5

b. (5x + 2) + (8x + 3)

= 13x +5

c. (5x)(8x + 3)

= 40x² + 15x

7 0
1 year ago
Solve this system of equations by graphing. First graph the equations, and then type the solution. y= x+3 y=2x
Yuliya22 [10]

Answer:

(3,6)

Step-by-step explanation:

Y=X+3

Y=X2

X+3=2X

X-2X= -3

-x=-3

x=3

then Y=2X

Y=2×3

Y=6

(3,6)

3 0
2 years ago
Rewrite 2 + (x + 4) as an equivalent expression that doesn't use parentheses
Vladimir79 [104]
2+x+4 just drop the parenthasesi think
5 0
3 years ago
The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuming th
Minchanka [31]
There should be 80 but I'm not 100%.......
6 0
3 years ago
Read 2 more answers
From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

Tan 36^{o} = \frac{x}{490}

⇒ x = 490 x Tan 36^{o}

      = 490 x 0.7265

     = 355.985

x = 356 meters

To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

      = 490 x 1.0724

      = 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

                                   = 355.985 + 525.476

                                   = 881.461

The height of the cliff is 881.5 meters.

3 0
3 years ago
Other questions:
  • Evaluate<br>4!+3!/2!<br><br>8<br>10<br>15<br><br><br><br><br>​
    6·2 answers
  • Compare the population median to the mean of the sample medians. choose the correct answer below.
    14·1 answer
  • Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent numbe
    11·2 answers
  • Find the length of the missing side.
    6·1 answer
  • Given the regular polygon, what is the measure of each numbered angle?
    6·2 answers
  • isaac has 18 eggs. he is packing cartons with 1/3 of his eggs in each carton. which figure shows how the eggs are packed?
    8·1 answer
  • How would i find this missing number?
    8·2 answers
  • Rita filled 2/5 of a jug with fruit juice. She then added 200 ml of milk to make a milkshake. At this stage, the ratio of the fr
    13·1 answer
  • felix is a car mechanic. he can fix 2 motorcycles and 3 cars in 170 minutes. he can fix 1 motorcycle and 5 cars in 225 minutes.
    8·1 answer
  • Sorry, you think i would get it by now... Which's one not Proportional?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!