First we expand and combine the terms on the left side. This gives us
12x + 32 -4x + 8 = -8x + 40
8x + 40 = -8x + 40. Because the two sides cancel each other out when you try and bring all the x to one side, the answer is x = 0.
<u>Answer:</u>
Surface area = 1084 in²
<u>Step-by-step explanation:</u>
To find the surface area of a right cone, we can use the following formula:
,
where:
• r = radius
• l = slant height.
In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.
Using this information and the formula above, we can calculate the surface area of the cone:
Surface area = 
= 
1084 in²
Answer:
38.7°.
Step-by-step explanation:
from trigonometrical ratios
SO TO CA
H A H.
Tan°=opposite/adjacent.
Tan°=48/60
Tan°=0.8000
°= Tan-1(0.8000)
°=38.65°≈38.7°
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Answer: x= -9 y= 3
Step-by-step explanation: