Step-by-step explanation:
13x - 26 °+ 5x +8° = 180° ( being co- interior angle)
13x + 5x - 26 °+ 8° = 180°
18x - 18 = 180°
18x = 180°- 18°
18x = 162°
x= 162° ÷ 18
x= 9°
hope it help
Answer: 19.2inches³
Step-by-step explanation:
The volume of a cone is calculated as:
= 1/3πr²h
where,
π = 3.14
r = radius = diameter/2 = 3.5/2 = 1.75
h = height = 6
Volume = 1/3πr²h
= 1/3 × 3.14 × 1.75² × 6
= 19.2325
= 19.2inches³
Therefore, the volume of the cone-shaped sandwich is 19.2inches³.
1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
I first think that you need to do 64 squared which is 8 then add the other 8 then you have 16 then do 16 square which equals 4 then I think you do 4 x 3 then add 25 then you get your answer..... hopefully
