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alexgriva [62]
3 years ago
5

What are the values of x and y x=9/4 y=3/4x=9/4 y=15/4x=15/4 y=5/4x=3/4 y=15/4

Mathematics
1 answer:
laiz [17]3 years ago
6 0
The complete question in the attached figure

we know that

in the triangle BDC
cos alfa=3/y----------> equation 1
sin alfa=x/y----------> equation 2


in the triangle ABD
cos alfa=4/5--------> equation 3
sin alfa=3/5---------> equation 4

then

Equal equation 1 and 3
3/y=4/5---------> y/3=5/4----------> y=15/4

Equal equation 2 and 4
x/y=3/5-------> x=3*y/5------------> 3*15/(4*5)-----> x=9/4

the answer is
<span>x=9/4 y=15/4</span>

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(-x-2) (x-4) are the factor of this equation

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2 years ago
find the length of the long diagonal of a rhombus when it's area of 24 square centimeters and it's short diagonal is 4 centimete
Ivahew [28]

Answer:

12

Step-by-step explanation:

A rhombus is a parallelogram with all four sides equal.

Its diagonals are perpendicular.

Each of the triangles formed by the diagonals and the sides are congruent, so the area of the rhombus is 4 times the area of one of the triangles.

Since the short diagonal is given as 4, each of the triangles can be viewed as having a base of 2.  Each triangle's height, h, then is one half the length of the long diagonal.

The are of one of the triangles is 1/2 (base)(height)=(1/2)(2)h

The area of the rhombus is then

4(1/2)(2)h=24

Solving for h gives

h=6

This makes the length of the long diagonal 2h=12

6 0
3 years ago
Find the coordinates of the midpoint of the segment with the given pair of endpoints. J(6, 6); K(2, –4)
Levart [38]

Answer:

(4,1)

Step-by-step explanation:

let J(6,6) be x1, y1

let K(2,-4) be x2, y2

midpoint = (x1+x2)/2 , (y1+y2)/2

=(6+2)/2 ,(6-4)/2

= 8/2 ,2/2

=4, 1

3 0
2 years ago
I need help with my math
kherson [118]

Answer:

Ok what is the problem

Step-by-step explanation:

8 0
3 years ago
A jar contains 30 red marbles 50 blue marbles and 20 white marbles what is the the theoretical probability of choosing a white m
svlad2 [7]
Theoretical probablity=desiredoutcomes/totalpossibleoutcomes

desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100

so theoretical probablity=20/100=2/10=0.2=20%
7 0
3 years ago
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