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
Leokris [45]
3 years ago
9

Special right triangle

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

6) taking 45 degrees as the reference angle,

the adjacent side is √6

The opposite side is x

The hypotenuse is y

Therefore, we would apply trigonometric ratio.

Tan # = opposite side / adjacent side

Tan 45 = x/√6

1 = x/√6

x = 1 × √6 = √6

Cos # = adjacent side/hypotenuse

Cos 45 = √6/y

Cos 45 expressed in surd form is √2/2. Therefore,

√2/2 = √6/y

y √2 = 2√6

y = (2√6)/√2

You might be interested in
Can 4cm 6cm and 12cm make a triangle
Alex
No, the sum of the lengths of any two sides must be greater than the length of the third side
5 0
2 years ago
How do you reduce 75/100?
Anestetic [448]
Find the greatest common factor and then divide each number by it. 

in this case the gcf for 75 and 100 is 25.

75 divided by 25 = 3
100 divided by 25 = 4

so 75/100 simplified = 3/4
4 0
3 years ago
Read 2 more answers
Answer it pls and explain too​
snow_tiger [21]

Answer:

  y-intercept: (0, 5); slope: 1/4

Step-by-step explanation:

The slope (m) is found from ...

  m = (y2 -y1)/(x2 -x1)

Using the first two points in the table, this is ...

  m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C

__

Then, the point-slope form of the equation of the line can be written as ...

  y -y1 = m(x -x1)

  y -6 = (1/4)(x -4) . . . fill in known values

  y = 1/4x -1 +6 . . . . . add 6

  y = 1/4x +5

Then the value of y when x=0 is ...

  y = 0 +5 = 5

So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.

7 0
3 years ago
The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod
maria [59]

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>

<u>So</u><u> </u><u>answer C is the right answer.</u>

7 0
3 years ago
Can someone help me with this
jolli1 [7]

Answer:

  4 sides

Step-by-step explanation:

A lot of math is about pattern matching. Here, you're asked if sides are the same length (one side matches another), if there are right angles (square corners), and if the number of angles or sides is 4.

You might make the observations ...

  <u>pink</u>: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.

  <u>orange</u>: all 4 sides are congruent and at right angles

  <u>blue</u>: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.

  <u>green</u>: 2 pairs of parallel sides that are the same length--4 sides and 4 right angles. Adjacent sides are different length.

__

The only feature in common is "4 sides."

5 0
2 years ago
Other questions:
  • Joe borrowed $2,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5 years?
    10·1 answer
  • Find the measure of angle K
    6·1 answer
  • Geometry homework!!!
    9·1 answer
  • How can you solve quadratic equation in one variable using factoring method?​
    13·1 answer
  • How do you round the answers to 1 decimal for:
    13·1 answer
  • 9 bags of cookies each bag had 17 cookies and have eaten 26 of the cookies how many cookies do i have left
    15·1 answer
  • What is the value of h in the figure below?
    12·2 answers
  • Ayudenme porfavor el trabajo esta en el documento
    9·1 answer
  • Which expression has the same value as
    11·2 answers
  • Decrease $18 by 40%<br><br> help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!