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
Yuki888 [10]
3 years ago
6

Find the value of y.

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

\sqrt{55}

Step-by-step explanation:

Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)

x^{2} =36+z^{2} \\\\y^{2}=25+z^2\\\\x^{2} +y^2=121\\\\

First equation is for triangle ABD

Second is for BCD

And the last one is for ACD

Substitute x^{2} and y^2

36+z^2+25+z^2=121\\\\61+2z^2=121\\\\2z^2=60\\\\z^2=30\\\\z=\sqrt{30}

As discovered before

y^2=25+z^2\\\\y^2=25+30\\\\y^2=55\\\\y=\sqrt{55}

You might be interested in
Can someone pls help me with this?
Hatshy [7]

Answer:

Between 1 and 3 seconds

Step-by-step explanation:

There is no change in distance ( change in y ) between 1 and 3, so she wasn't walking during that time

4 0
2 years ago
Read 2 more answers
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two
Degger [83]

9514 1404 393

Answer:

  3.  C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

  D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

  C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

  C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

5 0
2 years ago
Define complementary angles .​
Licemer1 [7]
Either of two angles whose sum is 90 degrees
5 0
3 years ago
Read 2 more answers
The icon indicates an exercise designed to provide practice using a calculator. solve y-6= -14
Anastaziya [24]
Y-6=-14
+6 +6
y=-8
.....
6 0
3 years ago
Read 2 more answers
If the area of the square is 300 square inches, what is the length of each side simplest form?
Mila [183]
300 divided by 4 =75
8 0
3 years ago
Other questions:
  • What is the greatest common monomial factor of the expression<br> 12x^2y^3−48x^5y
    15·2 answers
  • If the trucker changes the oil every 10,000 miles and he starts the year with a fresh oil change how many times will he change t
    6·2 answers
  • What is the formula for a triangular prism
    8·1 answer
  • An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept
    14·1 answer
  • Which graph best represents y=2^x + 1
    9·1 answer
  • A taxi costs $1.65 for the first mile and $0.85 for each additional mile. Which equation could be solved to find the number x of
    12·2 answers
  • What is the length of the missing base of the trapezoid?<br><br> 3 in<br> 8 in<br><br> Area= 21 in2
    5·1 answer
  • If "u" varies directly with "v", and u = 6 when v = -7, what is "u" when v =4?
    15·2 answers
  • Help please!!!!!<br> Geometry
    9·1 answer
  • Triangular tortilla chips have interior angles labelled A, B, and C. The measure of interior angle A is 90∘.If the measure of in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!