Answer: 131.1287 square mm (approx)
Step-by-step explanation:
The area of a triangle,
Where 
and 
are adjacent sides and 
is the include angle of these sides,
Here PR and QR are adjacent sides and ∠R is the included angle of these sides,
Thus, we can write,
, 
and 
,
Thus, the area of the triangle PQR,
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
__
b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
_____
<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
<u>Answer:</u>
The point-slope equation of the line is 
or 
<u>Solution:
</u>
Let us assume that the slope is m and the y intercept of the line is b
Hence, 
--------- (i)
y intercept means we need to find the value of y when x is 0
Here the line passes through point (4,-6) and slope m = (-2)
Now putting the point (4,-6) in equation (i) we get,
So, the equation of the line will be will be or
Answer:
The answer is B 1/(5+x)
Step-by-step explanation: I just took this test on edgenuity and had trouble with this exact question
Given:
1,5,25,61.....
To find:
The following number.
Solution:
We can see a pattern in the given sequence.
Using this pattern the next term is the sum of squares of 7 and 8.
Therefore, the next number is 113.
