They wanted to spread Christianity, wealth, power and fame.
In this case, you would use Pythagoras' Theorem:
a^2 = b^2 + c^2
with a being the hypotenuse (a is always the hypotenuse I'm Pythagoras' Theorem).
So we substitute the other sides in (it doesn't matter which side is b or c):
a^2 = 3^2 + 4^2
= 9 + 16
= 25
Therefore:
a = 5
Because in order to get rid of the squared on the side with the a, you must square foot both sides. This will get rid of the squared on the left and square the right hand side. The root of 25 is 5 and so a = 5
Answer:
Step-by-step explanation:
Bonjour,
2x*3x =6x²
2x* -5 = -10x
-3 * 3x = -9x
-3*-5 = 15
=>
6x² -10x - 9x +15 = 6x ² -19x +15
Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
