Answer:
87
Step-by-step explanation:
Do what's inside the paranethesis first
2+(9*3)=2+27=29
29*3=87
Answer: 1
Step-by-step explanation:
3(x-1)
3 times x = 3x
3 times -1 = -3
3x-3
1
Answer:
B. Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Step-by-step explanation:
First it is reflected on the x-axis because it is above and below. if its was the y-axis (which it is not) it would be side to side, if that makes sense.
Secondly the x values are the same, they are both -6. So, the y values are the ones that are different.
9514 1404 393
Answer:
A) $8/bushel (divide dollars by bushels)
B) $2
Step-by-step explanation:
A) We observe that the graph is a straight line through the origin, so we know the price is proportional to the quantity. The "rate of change" is the ratio of price to quantity, which can be figured using any point on the graph.
For easy division by quantity, it is convenient to use the point for 10 bushels. That price is $80, so the "rate of change" is ...
price per bushel = $80/10 = $8 . . . per bushel
__
B) The same calculation can be done for the previous year. Any line of the table will do.
price per bushel = $12/2 = $6
The current year price is greater by ...
$8 -6 = $2 . . . per bushel
Answer:
Part 5) The length of the ski lift is 
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have


----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees

substitute

Applying the law of sines

substitute



Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees

-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees

-----> equation B
Equate equation A and equation B and solve for x

<u><em>Find the value of BC</em></u>


therefore
The height of the tree is 18.12 m