Answer:
solution: x= 0.273, y= 1.909.
Step-by-step explanation:
- given system of linear equations : x+3y=64x−6y=6
- these can also be splitted or written individually as:
x+3y=6 & 64x−6y=6
- the first equation can also be written as,
so, it is line with slope : -1/3 and y-intercept :2
- the second equation can also be written as,
so, it is line with slope : 32/3 and y-intercept : -1
- now we can easily draw graphs for these equations using the above interpretation.
- graph is in the attachment.
- so, the solution is: x= 0.273, y= 1.909.
The area of the figure is 71 in².
The area can be found by noticing that the figure is a rectangle with a triangular section taken out from the corner (see attached figure). You can use this information to easily find the shape's area.
To find the area of the original rectangle, before the triangle was taken away, multiply its length and width together: This gives you the area of the rectangle, in in².
Next, we need to find the area of the small triangle. Using the information given, you can find that this triangle has side lengths of 4 and 5. The area of a triangle can be found by multiplying its base times its height, then dividing this value by two. Doing so for this triangle gives us:
in².
Now that we know the areas of both shapes, simply subtract the area of the triangle from the area of the rectangle: 81 in² - 10 in² = 71 in², which is the area of the entire shape.
The answer is 9. 12x3=36 and 36/4=9
Answer:
, here we go there your answer hope it will helpful
Step-by-step explanation:
since we are required to find side |BC| and the value of side |AB| is given as 6.3 cm
hence we find the cosine of the given angle...
cos71 = adjacent ÷ hypotenuse
cos71 = |AB| ÷ |BC|
cos 71 = 6.3 ÷ |BC|
|BC| = 6.3 ÷ 0.325
|BC| = 19.4 cm
