Answer:
The longer diagonal has a length of 7.3 meters.
The angles are 31.65° and 18.35°
Step-by-step explanation:
If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:
50°, 130° and 130°.
The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.
Using the law of cosines in one of these two triangles, we have:
So the longer diagonal has a length of 7.3 meters.
To find the angles that this diagonal forms with the sides, we can use the law of sines:
The other angle is B = 50 - 31.65 = 18.35°
Please check the image attached for better comprehension.
50$ per month for 12 years would mean she spent only (50 x 12) 600$ per year.
She actually spent $711, her forecast was off target by (600-7111) $111.
She exceeded her budget by $111
Answer:
(-16, 0) and (0,-12) are exactly two points on the graph of the given equation.
Step-by-step explanation:
Here, the given expression is : 
Here, let M(a) = b
⇒The equation becomes 
Now, check for all the given points for (a,b)
<u>1) FOR (-9,0)</u>
Hence, (-9,0) is NOT on the graph.
<u>2) FOR (-16,0)</u>
Here, LHS = b = 0
and
Hence, LHS = RHS = 0 So, (-16,0) is on the graph.
<u>3) FOR (0,12)</u>
Here, LHS = b = 12
Hence, (0,12) is NOT on the graph.
<u>4) FOR (0,-12)</u>
Here, LHS = b = -12
and LHS = RHS = -12
Hence, (0,-12) is on the graph.
Hence, (-16, 0) and (0,-12) are exactly two points on the graph of the given equation.
Could you show where is Point H?
