The length of BC is 4.674 m
<u>Explanation:</u>
Given:
Angle A = angle B = 90°
AD = 2.1 m
AB = 1.9 m
CD= 3.2 m
An image is inserted for the reference
According to the figure,
a is the base
b is the height
c is the hypotenuse
Using pythagoras theorm:
a² + b² = c²
a² + (1.9)² = (3.2)²
a² + 3.61 = 10.24
a² = 6.63
a = 2.574
BC = 2.1 + 2.574
BC = 4.674m
Therefore, the length of BC is 4.674 m
Answer:
The equation is;
y = 12x-41
Step-by-step explanation:
Mathematically;
slope intercept form is;
y = mx + b
where m is slope and b is intercept
Since we already have the slope , the equation is;
y = 12x + b
To get b which is the y intercept, we simply substitute the value of the points given
Thus;
19 = 5(12) + b
19 = 60+ b
b = 19-60
b = -41
So the equation is;
y = 12x - 41
Answer:
184.8 cubic cm
Step-by-step explanation:
The formula for the volume of a pyramid is
V = (1/3)(B)(h) where B is the area of the base, and h is the height
We are given B = 44 cm² andh = 12.6cm
Plug them into the formula and simplify...(I'm assuming you are allowed to use a calculator for these problems)
V = (1/3)(44cm²)(12.6cm)
<h2> V = 184.8 cm³ or 184.8 cubic cm</h2><h2 />
Two lines and a point are guaranteed to be coplanar if the two lines share only a single point.
Hope this helped :)
It will take you double the time, or 78 seconds.