You have to use the distance formula which is d=√(x₂-x₁)²+(y₂-y₁) to give you the distance between the points then solve for perimeter and area once you have the distance
Answer:
Ok, we know that the width of the door is 4.20m.
Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.
Then the diameter of the arc is 4.20m
And the radius is defined as half of the diameter, so we have:
radius = 4.20m/2 = 2.10m
And we can write this in cm (because the probelm ask for it)
1m = 100cm
then 2.10m = 2.1*100cm = 210cm
Now, we know that the perimeter of a circle is:
P = 2*pi*r
where pi = 3.14
Then the perimeter (or arc) of half a circle will be half of that:
Arc = (2*pi*r)/2 = pi*r
and r = 210cm, pi = 3.14
Arc = 3.14*210cm = 659.4cm
Answer:
y - 9 = -13(x - 1)
Step-by-step explanation:
sounds as tho you want to find the equation of a line thru the point (1, 9) that has a slope of -13. Use the point-slope formula y - k = m(x - h) for this purpose. Here m = -13, h = 1 and k = 9. Therefore,
y - k = m(x - h) becomes y - 9 = -13(x - 1). This is the desired equation in point-slope form.
Answer:
3
Step-by-step explanation:
Explanation:
Although you have not been provided with direct masses, you can use the percentage composition values in place of masses.
First, calculate the number of moles of each element:
This is the formula for the ionic compound calcium carbonate, confirming that our result is indeed in the magnitude of a plausible answer. In fact, given the fact that calcium carbonate is ionic, it is also true that this empirical formula equates to the unit formula of the compound.
Answer:
AB = 42.15 units
Step-by-step explanation:
In triangle ABD,
By applying Cosine rule in this triangle,
cos(30)°= 
= 

AD = 
By applying tangent rule in ΔACD,
tan(44)° = 
tan(44)° = 
0.9657 = 
0.9657 = 
x = 
x = 42.15
≈ 42.2 units