Answer: 41
Step-by-step explanation: all triangles equal 180° so you add the 2 angles you know, 52+87=139. Then you take the 180 and subtract the 139 to get 41°
The volume of a pyramid is 1/3 the volume of a prism with the same area and height.
Volume of the pyramid would be 18/3 = 6 in^3
Answer:
9
Step-by-step explanation:
The rules that you need to know for this question are:
- & - = +
+ & - = -
+ & + = +
So for this question we have 16 + -7 so we need to use the + & - rule. Therefore a plus and a minus make a minus so we do 16-7 which is 9
<span>X+2a = 16+aX-6a
8X - 16 = aX-2a
8(X-2) = a(X-2)
</span><span>(X-2)/<span>(X-2)</span> = a/8
1 = a/8
a= 8
</span>
Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm