True
<span>Vertical angles are opposite angles with the same vertex </span>
No cause if I helmet cost $42 , 7 helmets will be $294.
$42 = 1 helmet
$? = 7 helmets
cross multiply = 42 × 7 = $294
Given:
The equation of a function is
To find:
The graph of the given function.
Solution:
The vertex form of a parabola is
...(i)
Where, (h,k) is vertex of the parabola.
We have,
...(ii)
From (i) and (ii), we get
The vertex of the parabola is (4,1).
Now, the table of values is
x y
2 5
3 2
4 1
5 2
6 5
Plot these points on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
Ok, to solve this first you have to set up your proportion:
9/150=x/230
/ is a fraction
x= the number of vials it will take to treat 230 patients
in order to solve this, you have to cross multiply:
9 x 230= 2070
150 · x= 150x
so you get 150x=2070
then divide 2070 by 150
2070/150= 13.8
so it would take 13.8 vials of medicine to treat 230 patients
Answer:
2406.17 cm³
Step-by-step explanation:
The following data were obtained from the question:
Height (h) = 24.4 cm
Base length (L) = 17.2 cm
Volume (V) =?
Next, we shall determine the base area of the pyramid. This can be obtained as follow:
Base length (L) = 17.2 cm
Base area (B) =.?
B = L × L
B = 17.2 × 17.2
B = 295.84 cm²
Finally, we shall determine the volume of the pyramid. This can be obtained as follow:
Height (h) = 24.4 cm
Base area (B) = 295.84 cm²
Volume (V) =?
V = ⅓Bh
V = ⅓ × 295.84 × 24.4
V = 2406.17 cm³
Thus, we volume of the pyramid is 2406.17 cm³
