Step-by-step explanation:
We make "x" the subject of formula
2x = 11 + 5
(-5 changes to +5 because it's crossing over the equal to sign =)
2x = 16
(divide both sides by the coefficient of x)
2x ÷ 2 = 16 ÷ 2
X = 8
2. x /4 + 2 = 3
(we solve the Left Hand Side first by finding the LCM)
x/4 + 2
x + 8 = 3
‐---‐------
4
(cross multiply)
x + 8 = 4(3)
x + 8 = 12
x = 12 - 8
x = 4
3. 2(x - 7) = 3x + 10
(2 multiplies the entire bracket)
2x - 14 = 3x + 10
(collect like terms)
2x - 3x = 14 + 10
-x = 24
(multiply both sides by the negative sign "-")
x = -24
The Image of the triangle is missing and so i have attached it.
Answer:
B: 12 cosec 65°
Step-by-step explanation:
From the diagram attached, we cans see the triangle is a right angle triangle with a given internal angle of 65° and side AB with a length of 12 ft.
Now, we can use trigonometric ratios to find the distance the box has to move from point A to point C which is basically the distance AC.
Now, the given side AB is opposite to the angle. While the required side AC is the hypotenuse.
Thus;
Opposite/hypotenuse = sin θ
Thus;
AB/AC = 12/AC = sin 65
Thus;
AC = 12/sin 65
From trigonometric relationships, we know that;
1/sin θ = Cosec θ
Thus;
AC = 12 cosec 65
This will cost:
$4.36.
To solve, first multiply 3.78 by 137.64. We want to know how much Yen it costs for a gallon. The answer will be 520.2792.
After, use 520.2792 and divide by 119.33. This will tell how much it costs in dollars. Then, the answer should be 4.36000335205.
Finally, round 4.36000335205 to the nearest hundredth. The answer would be $4.36.
Answer:
Only one
Step-by-step explanation:
46=3x+7 /-7
39=3x /:3
13=x