The sides and angles of a triangle can be determined using trigonometry ratios
The values of x, y and z are
,
and ![z = 14\sqrt 3](https://tex.z-dn.net/?f=z%20%3D%2014%5Csqrt%203)
<h3>How to determine the missing values of the triangle</h3>
The upper triangle is a right triangle with an angle measure of 45 degrees.
So, the value of x is:
![x = 14\sqrt 2](https://tex.z-dn.net/?f=x%20%3D%2014%5Csqrt%202)
Next, we calculate the hypotenuse (h) of the lower triangle using:
![h^2 = (14\sqrt 2)^2 + (14\sqrt 2)^2](https://tex.z-dn.net/?f=h%5E2%20%3D%20%2814%5Csqrt%202%29%5E2%20%2B%20%2814%5Csqrt%202%29%5E2)
So, we have:
![h^2 = 784](https://tex.z-dn.net/?f=h%5E2%20%3D%20784)
Take the square roots of both sides
![h = 28](https://tex.z-dn.net/?f=h%20%3D%2028)
The value of y is then calculated using the following sine ratio
![\sin(30) = \frac y{28}](https://tex.z-dn.net/?f=%5Csin%2830%29%20%3D%20%5Cfrac%20y%7B28%7D)
Make y the subject
![y =28 * \sin(30)](https://tex.z-dn.net/?f=y%20%3D28%20%2A%20%5Csin%2830%29)
Evaluate
![y =14](https://tex.z-dn.net/?f=y%20%3D14)
The value of z is then calculated using the following cosine ratio
![\cos(30) = \frac z{28}](https://tex.z-dn.net/?f=%5Ccos%2830%29%20%3D%20%5Cfrac%20z%7B28%7D)
Make z the subject
![z =28 * \cos(30)](https://tex.z-dn.net/?f=z%20%3D28%20%2A%20%5Ccos%2830%29)
Evaluate
![z =28 * \frac{\sqrt 3}{2}](https://tex.z-dn.net/?f=z%20%3D28%20%2A%20%5Cfrac%7B%5Csqrt%203%7D%7B2%7D)
![z = 14\sqrt 3](https://tex.z-dn.net/?f=z%20%3D%2014%5Csqrt%203)
Hence, the values of x, y and z are
,
and ![z = 14\sqrt 3](https://tex.z-dn.net/?f=z%20%3D%2014%5Csqrt%203)
Read more about right triangles at:
brainly.com/question/14628284
Answer:
the banana cost per kg is 6 and for orange it is 4
Step-by-step explanation:
The computation is shown below:
Let us assume the banana be x
And, the oranges be y
Now according to the question
There would be two equations
32x + 86y = 536.......(1)
96x + 52y = 784.........(2)
Now multiply by 3 in equation 1
96x + 258y = 1,608
96x + 52y = 784
258y - 52y = 1608 - 784
206y = 824
y = 4
And, the x would be
32x + 86(4) = 536
32x + 344 = 536
x = 6
Hence, the banana cost per kg is 6 and for orange it is 4
A. Stiles. For Melendez, each family member uses about 390 kilowatts of electricity. For Barton, each family member uses about 355 kilowatts of energy. Stiles uses 745 kilowatts per family member. 745 divided by 355 rounds up to 2 while 745 divided by 390 rounds up to 2. This means that the Stiles family uses twice the amount of electricity per person than the other families.
b. The Melendez family. The Melendez family uses 875 gallons per family member. The Barton family uses about 1067 gallons of water while the Stiles family uses about 1250 gallons. 875< 1067< 1250. This means that the Melendez family uses the least amount of water per family member.
Answer:
if you meant y = 10x, then false
Step-by-step explanation:
(-1,-30) means that x = -1 and y = -30
so then substitute those variables in y = 10x
-30 = -1 * 10
-30 = -10, that's false
Answer:
addition
Step-by-step explanation:
you will use addition