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
lina2011 [118]
3 years ago
13

Find the exact values of x and r

Mathematics
1 answer:
NemiM [27]3 years ago
3 0

Answer:

Below

Step-by-step explanation:

You can use sine law to solve this : sina / A = sinb / B

We will first find side x

We know that since this is a special triangle that side will = 28, but we can prove this mathematically :

sin(45) / 28 = sin(45) / x

= 28 sin(45) / sin(45)

x = 28

Now to find side r just use Pythagorean theorem a^2 + b^2 = c^2 :

c^2 = 28^2 + 28^2

      = 1568

Square root this number

r = 39.597

The just round to however your teacher wants

If you didn't already know about special triangles, an isosceles right triangle like this one has a ratio which is the two legs will equal each other, while the hypotenuse is √2a . You could have also used this to solve.

Hope this helps! Best of luck.  

You might be interested in
NO LINKS!! Please help me with this problem​
Anastaziya [24]

Answer:

  y²/324 -x²/36 = 1

Step-by-step explanation:

Where (0, ±b) are the ends of the transverse axis and y = ±(b/a)x describes the asymptotes, the equation of the hyperbola can be written as ...

  y²/b² -x²/a² = 1

<h3>Application</h3>

Here, we have transverse axis endpoints of (0, ±18) and asymptotes of y = ±3x, so we can conclude ...

  b = 18

  b/a = 3   ⇒   a = 18/3 = 6

The equation of the hyperbola in standard form is ...

  y²/324 -x²/36 = 1

7 0
2 years ago
Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of
Elza [17]

9514 1404 393

Answer:

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

  Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

  BK = MB·tan(25°)

  BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

  MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

3 0
3 years ago
Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they
kakasveta [241]

Answer:

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Step-by-step explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

Number of people = 3

Money Spend on popcorn and soft drink = $22.50

Hence we can say that;

3x+3y=22.50 \ \ \ \ equation \ 1

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets = 8\times3 = \$24

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets  and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2

Now Subtracting equation 2 from equation 1 we get;

(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50

Now substituting the value of y in equation 1 we get;

3x+3y=22.50\\\\3x+3\times4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=\frac{9}{3}=\$3.00

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

7 0
3 years ago
There is another equation that describes the path of your fruit or vegetable. This equation is: y=-16t^2+v0t+6 .
Rudiy27

Answer:

The equations have the same mathematical form:

S = A + V0 t - 1/2 g t^2

They are both quadratic equations in one variable (t here)

This equation expresses the distance traveled by an object in time t in the vertical direction  - it does not necessarily refer to a graph

In the other equation, y can be considered a vertical coordinate equation on a graph and x would be the horizontal coordinate

Note that in one equation 3 terms are necessary to describe the displacement of an object in one direction

In the other 2 terms in the x-direction describe the displacement in the other or y-direction

6 0
3 years ago
Suppose that, after measuring the duration of many telephone calls, a telephone company found their data was well-approximated b
Temka [501]
856755556666667811111118999.56
5 0
3 years ago
Other questions:
  • Find f(x) + g(x) when f(x) = 2x^2 + x and g(x) = 3x + 2
    5·2 answers
  • Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a
    9·1 answer
  • How many dimensions does a plane have?<br><br> A. TWO<br> B. Zero<br> c. Three<br> D.One
    12·1 answer
  • Write a number sentence for the problem. Usefor the missing number. Then solve . 29 children rode their bikes to school. After s
    6·1 answer
  • 4 students is what percent of 20 students
    6·2 answers
  • Three less than the product of
    5·1 answer
  • Evaluate the related series,of each sequence<br><br> -9,-16,-23,-30,-37,-44
    8·1 answer
  • Which of the following could be the measures of the three angles of a triangle?
    15·1 answer
  • 11. Set up the rational work application problem. Shelby and Mary started a beading
    13·1 answer
  • Loon tried to solve an equation step by step.<br> 12.18
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!