Answer:
they are not parallel
Step-by-step explanation:
Given the equations -3x – 3y = 1 and -3x – 4y = 5
Get the slope of each line
REwrite in the form y = mx+c
For the line -3x-3y = 1
-3y = 3x + 1
y = 3x/-3 + 1/-3
y = -x - 1/3
Slope m = -1
For the line -3x - 4y = 5
-4y = 3x + 5
y = -3/4 x - 5/4
Slope of the line is -3/4
Hence since both lines have different slopes, they are not parallel
Answer:
x = 117.9°
Step-by-step explanation:
We require to find the size of the angle x
Given the law of cosines
c² = a² + b² - 2ab cosC
Rearrange to give cosC in terms of the sides
Add 2ab cosC to both sides
c² + 2ab cosC = a² + b² ( subtract c² from both sides )
2ab cosC = a² + b² - c² ( divide both sides by 2ab )
cosC =
here a = 55, b = 50 and c = 90 and C = x
cosx =
=
= ← - indicates angle is obtuse
x = ( ) ≈ 117.9°
Answer:
the triangle is not right angled traingle
Step-by-step explanation:
For a right angle triangle
+ = where a is the base , b is the height and c is the hypotenuse
taking a= 6 b = 14 and c = 15
hence + =
36+196 = 232 which is not equal to 225
therefore the triangle is not right angled traingle
By definition, we have that the conversion of a US gallon to liters is given by:
1 liter = 3.78541 gallons
Therefore, we can apply the following rule of three:
1 liter ---------------------> 3.78541 gallons
5100 liters --------------> x
Clearing x we have:
two significant figures:
Answer:
The lung capacity of the blue whale is:
Answer:
b ≥ 500
Step-by-step explanation:
since the balance has to be at least 500, b has to be grater than or equal to 500, so b ≥ 500