You need to break this into pieces. The 2 ends are triangles, so use the triangle formula: 1/2bh
A = 1/2(7)(8)
A = 1/2(56)
A = 28
Then multiply by 2 since there are two ends: 2 * 28 = 56 square inches.
Next is the 3 sides. They are each 16" by 7".
A = 16 * 7
A = 112 square inches.
Then multiply by 3 since there are 3 of them: 112 * 3 = 336
56 + 336 = 392 square inches of surface area.
Answer:
2nd option
Step-by-step explanation:
Using the sine ratio in the right triangle
sin32° =
=
=
( multiply both sides by 6 )
6sin32° = BC
Answer:
0.491 or 49.1%.
Step-by-step explanation:
Prob(selecting a senior male)
= number of senior males / total number of students
= 82/167
= 0.491
Answer:
1/6
Step-by-step explanation:
Probability is a chance of an event taking place.
Probability = (favorable outcome)/(total outcome)
There are 3 even sides in a dice.
P(even) = 3/6 = 1/2
There are 2 numbers that are greater than 4 in a dice.
P(x>4) = 2/6 = 1/3
P(even and x>4) = 1/2 × 1/3 = 1/6
Answer:
(x, y) = (-3 5/8, 1 5/16)
Step-by-step explanation:
Add y+14 to the second equation to get ...
3.5x +14 = y
Substitute this for y in the first equation:
2.5x -3(3.5x +14) = -13
2.5x -10.5x -42 = -13
-8x = 29
x = -29/8 = -3 5/8
Using this in the formula for y, we get ...
3.5(-29/8) +14 = y
-203/16 +14 = y = 21/16 = 1 5/16