Answer:
70 square inches
Step-by-step explanation:
surface area = 5ab +5bh
a = 4
b=7
h=18
5*4*7 = 140
5*7*18 = 630
630+140 = 770 square meters
Answer:
20
Step-by-step explanation:
Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...
(n+k-1)C(n)
where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:
aCb = a!/(b!(a-b)!)
For n=3 and k=4, this is ...
(3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20
There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.
Answer:
Step-by-step explanation:
<h3>Solution 1</h3>
The both triangles are marked as isosceles.
The bottom triangle
<u>Missing angles are same:</u>
- 1/2(180 - x - 85) = 1/2(95 - x)
The top triangle
The equal angles measure 38° as one of them is vertically opposite to 38° angle.
On the other hand same angle is complementary with the one we found above (together forming a right angle).
<u>So we have:</u>
- 1/2(95 - x) + 38 = 90
- 1/2(95 - x) = 52
- 95 - x = 104
- x = 95 - 104
- x = - 9
<h3>Solution 2</h3>
The angle 2 is the exterior angle of the top triangle.
The non-adjacent interior angles are equal to each other and same as vertical angle of the top vertex, 38°.
<u>Also we have:</u>
<u>Compare and solve for x:</u>
- x + 85 = 76
- x = 76 - 85
- x = -9