It’s the point where the parabola crosses its axis of symmetry
<u>Given</u>:
The measure of ∠ABD is (4x + 15)°
The measure of ∠DBC is (13x + 7)°
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property that every angle in a rectangle is 90°
Hence, the value of x can be determined by adding the two angles and equating to 90°
Thus, we have;

Substituting the values, we have;




Thus, the value of x is 4.
4x+1 = 2x+23
4x = 2x+22
2x = 22
x = 22/2 = 11
x = 11
3x-8 = 3(11)-8 = 33-8 = 25
BC=25
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle =
× base × height
Area of the base =
× 22 × 19.1 = 210.1
Area of the sides =
× 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle =
× 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660
Company A: 177$
Company B: 238$
Both companies together: 415$