Answer & Step-by-step explanation:
Mathematical Problem Example : 100 x 105
By commutative rule, a x b = b x a : 100 x 105 = 105 x 100 = 10500
By distributive rule, a x (b+c) = (a x b) + (a x c)
Breaking down 105, we get : 100 x 105 = 100 (100 + 5)
= (100 x 100) + (100 x 5) = 10000 + 500 = 10500
As solutions by both rules are same, algebra multiple ways to solve a mathematical problem have been hence proved.
Answer:
x =12
Step-by-step explanation:
Since this is an isosceles triangle the angles at the bases of the equal sides are equal
The unmarked angle is 4x
The 3 angles of a triangle total 180 degrees
4x+4x+ 84 =180
Combine like terms
8x +84 = 180
Subtract 84 from each side
8x +84-84 = 180 -84
8x =96
Divide by 8
8x/8 = 96/8
x =12
Answer:
22/25<8/9
Step-by-step explanation:
Answer:
Option A. -(
)
Step-by-step explanation:
Equation of a given line is a + 4b = 0 or b = -
This in the form of y = mx + b, which is slope-intercept form.
Here slope of the line is (
).
Or tanθ = 
This line coincides with the terminal side of the angle in standard position where cosθ > 0
Since tanθ = 
and sinθ = 
Hypotenuse = 
= 
= 
Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.
Therefore, sinθ will be negative.
[ 
]
sinθ = -
= -
Answer will be option A.
Answer:
<u>In the state of Kansas, the density of people per square mile is 34.3
</u>
Step-by-step explanation:
According to US topographers, the state of Kansas has an area of 213 096 km².
If 1 km² is equal to 0.39 mi², then how much is 213 096 km².
If 1 km² : 0.39 mi².
213,096 km² : 83,107.44 mi²
If the state of Kansas has a population of 2.85 million people, then:
2.85 x10^6 people / 83 107.44 mi² =
34.3 people per square mile.
