Answer:
-8(3x-2y)
Step-by-step explanation:
Factor out each number because 8 times 3 equals 24
And -2 times -8 is 16
Answer:
<h3>area of the slice:
A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust:
L = 24π in ≈ 6.28 in</h3>
Step-by-step explanation:
R = 12 in
360°:30° = 12
so the area of the slice is ¹/₁₂ of whole pizza
A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²
Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:
L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in
Answer:
+2 ft
Step-by-step explanation:
He descends -12 feet (negative descend is an ascend) so he ascends 12 feet
-14 + 12 = -2 so he needs to travel 2ft
Answer:
Angle ABC = 58
_________________
These two angles are opposite but meet at the same vertex. This means that they are equal to each other. To solve the equation below, isolate the variable and you have your answer!
3x - 14 = 2x + 10
-2x -2x
x - 14 = 10
+14 +14
x = 24
Angle ABC
3(24) - 14 = ?
72 - 14 = 58
1.) Solve for length b.
The simpler method is to use the Pythagorean theorem. If 
, then this means that 
.
Plug in the values:
--> 
So this means that b is the square root of 72, which is 8.49
2.) Solve for ∠A.
Let's refer to the law of sines. If 
, then this means we can cross multiply. Since A is the value we are solving for, the equation should be written out like this:
--> 
A is 39.52°
3.) Solve for ∠B.
This is the easiest one. The sum of all three angle measures in a triangle add up to 180°. We already know that one of the angles is a right angle and the other 39.52°.
39.52 + 90 = 129.52
180 - 129.52 = 50.48
∠B is 50.48°.
