Answer:
1210 acres
Step-by-step explanation:
Given data
let the old farmland be x acres
new farmland = 968 acres
therefore
let us find 20% of the old farmland
=20/100x
=0.2x
Hence
968+0.2x=x
collect like terms
968=x-0.2x
968=0.8x
x= 968/0.8
x=1210 acres
for A you should take each plotted point and change the sign of the x values. for example (-1,3) should become (1,3) and (-4,4) should become (4,4)
for B take each point and flip the variables and x's sign. (-1,3) should become (3,1)
for C take every x value and subtract 2. (-1,3) should become (-3,3)
for D take each point and flip the variables and y's sign. (-1,3) should become (-3,-1)
As soon as I read this, the words "law of cosines" popped
into my head. I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.
The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.
To find angle-B, the law of cosines says
b² = a² + c² - 2 a c cosine(B)
B = angle-B
b = the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9
(1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)
1.96 = (1) + (3.61) - (3.8) cos(B)
Add 3.8 cos(B) from each side:
1.96 + 3.8 cos(B) = 4.61
Subtract 1.96 from each side:
3.8 cos(B) = 2.65
Divide each side by 3.8 :
cos(B) = 0.69737 (rounded)
Whipping out the
trusty calculator:
B = the angle whose cosine is 0.69737
= 45.784° .
Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...
By gosh ! Choice 'B' is 45.8° ! yay !
I'll bet that's it !
Answer:
-1
Step-by-step explanation:
Following PEMDAS The answer equals to -1
<u>*plssss make me brainlist*</u>
Answer:
11.16 units²
Step-by-step explanation:
Area of community area=4.5×6.2= 27.9 units²
Area of vegetable garden=27.9×0.4=11.16 units²
