Answer:
x = - 5, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 2y = - 9 → (1)
4x - 2y = - 26 → (2)
Adding (1) and (2) term by term eliminates the y- term, that is
7x = - 35 ( divide both sides by 7 )
x = - 5
Substitute x = - 5 into either of the 2 equations and solve for y
Substituting into (1)
3(- 5) + 2y = - 9
- 15 + 2y = - 9 ( add 15 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
Sorry pics aren't good quality...
Answer:
A. 34/40
Step-by-step explanation:
Answer:
V = 19.19 cubic units
None of the options are correct.
Step-by-step explanation:
Volume of a cone is given as;
V = ⅓πr²h
Now, we are given;
diameter = 4 units
Thus radius;r = diameter/2 = 4/2 = 2 units
I have attached an image to show the diagram of the cone.
Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.
From Pythagoras theorem;
r² + h² = l²
Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"
Thus;
2² + h² = 5²
h² = 5² - 2²
h² = 25 - 4
h² = 21
h = √21
h = 4.5826 units
So height (h) = 4.5826 units
Volume of cone;V = ⅓πr²h
We are told that π = 3.14
Thus;
V = ⅓ x 3.14 x 2² x 4.5826
V = 19.19 cubic units