Answer: The answer to this question is 15.53lt/sec.
Step-by-step explanation: 1 liter is equal to 0.264gallons
1 minutes is equal to 60 seconds.
To convert we have to multiply 246gal/min by 1min/60sec then by 1lt/0.264gal to get the answer in lt/s
Where the answer is 15.53lt/s
9514 1404 393
Answer:
B = 6.65 in²
Step-by-step explanation:
The base area (B) is the area of the triangular base of the prism. You already know the sides of that triangle are 3, 5, and 7 inches. The figure shows the altitude to the side length 7 is 1.9 inches. The triangle area formula applies:
A = 1/2bh
A = 1/2(7 in)(1.9 in) = 6.65 in² . . . . area of one triangular base.
Then the area of one base is B = 6.65 in².
__
The lateral area is the product of the perimeter and the height:
LA = Ph = 15(12) = 180 . . . . square inches
The total surface area is the sum of the lateral area and the areas of the two bases.
SA = LA + 2B
SA = 180 in² + 2(6.65 in²) = 193.3 in²
Sine (28) = opposite / hypotenuse =
0.46947 = opposite / 28
opposite = 0.46947 * 28
<span><span><span>opposite side = 13.14516
</span>
</span>
</span>
cosine (28) = adjacent / hypotenuse =
0.88295 = adjacent / 28
adjacent = 28 * .88295
<span><span><span>adjacent side = 24.7226
</span>
Double Check
</span>
</span>
<span>13.14516^2 + 24.7226^2 = 28^2
</span>
<span>
<span>
<span>
172.7952314256
</span>
</span>
</span>
+
<span>
<span>
<span>
611.20695076
</span>
</span>
</span>
= 784
<span>
<span>
<span>
784.0021821856
</span>
</span>
</span>
= 784
Correct to 5 significant figures
Answer:
Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:
⎛
⎜
⎜
⎜
⎜
⎝
0
Soup 1
Soup 2
Soup 3
Sandwich 1
1
2
3
Sandwich 2
4
5
6
Sandwich 3
7
8
9
⎞
⎟
⎟
⎟
⎟
⎠
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3
×
3
×
4
×
2
=
72
Step-by-step explanation: