Set it up with variables; tomatoes=t, sunflowers=s, corn=c
320=t+s+c
This year;
t=2s
c=t+40
so, replace 2s for t; c=2s+40
now we can put those factors in for 320=t+c+s
320= 2s+2s+40+s
(SIMPLIFY)---> 320=5s+40----> 5s+280----> s=56
now incorporate the s value into the other equations.
c=2s+40----> c=56(2)=40 ----> c=152
t=2s -----> t=2(56) ----> t=112
TOMATOES= 112 acres
CORN= 152 acres
SUNFLOWERS= 56 acres
To check your work: 320=t+s+c ----> 320=112+156+56
Answer:
(
9
x^
2
+
4
y
^2
)
(
3
x
+
2
y
)
(
3
x
−
2
y
)
Answer:
c. 35.34015106
Step-by-step explanation:
As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.
If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.
__
The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.
The angle is (in degrees) ...
88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600
≈ 88.3791666... (repeating) . . . . degrees
A calculator tells you the tangent of that is ...
tan(88.3791666...°) ≈ 35.3401510614
Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.
Answer:
38= d - 15
Step-by-step explanation:
