The surface area of the composite shape is 1560 square inches
<u>Step-by-step explanation:</u>
The surface area of the top cardboard is,
SA = 5 x area of each side
Because one side is attached with another cardboard box . So while finding the area only 5 sides are calculated.
SA = 5 ( 10 x 10)
= 500 square inches
The surface area of the rectangular prism cardboard,
Given that,
l = 20 in
w =15 in
h = 8 in
A = 2(lw + wh + hl) - 100
We are subtracting 100 because it is the area of one side of the square cardboard box on top of the rectangular prism box .
A = 2(300 + 120 + 160) - 100
= 2(580) - 100
= 1160-100
= 1060 square inches
Total surface area = SA + A
= 500 + 1060
= 1560 square inches
Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1.
Given
2.
As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3.
Given
4.
Reflexive property
5.
SAS postulate
6.
Corresponding parts of congruent triangles are congruent
7.
Inverse alternate interior angles theorem
Answer:
6.57343137182
Step-by-step explanation:
The triangle is a right triangle
1. Use Pythagorean theorem
5.5² + 3.6² = c²
2. Solve
√ 43.21
Answer:$7,200
Quantities that changed in the problem are
1. The value of the coin
2. The time it took to appreciate to that value
Step-by-step explanation:
Current value = $5,400
Increase in value (monthly) = $30
In 5 years time, the value would increase by
(12*5) * $30 = $1800
Value in five years = current value + increase in value
Value in five years = $5400 + $1800
Value in five years = $7,200