Answer:
he can make 8 piles before he runs out and has 2 cards leftover
Step-by-step explanation:
The value of a given that A = 63°, C = 49°, and c = 3 is 4 units
<h3>How to determine the value of a?</h3>
The given parameters are:
A = 63°, C = 49°, and c = 3
Using the law of sines, we have:
a/sin(A) = c/sin(C)
So, we have:
a/sin(63) = 3/sin(49)
Multiply both sides by sin(63)
a = sin(63) * 3/sin(49)
Evaluate the product
a = 4
Hence, the value of a is 4 units
Read more about law of sines at:
brainly.com/question/16955971
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Answer:
a≥0
Step-by-step explanation:
The equation on the left is absolute value so all values plugged in will be positive but on the other side if a negative was plugged in it would still be negative and thus result in a lower sum than the other side. For example:
|-2+5|=-2+5
7=3
this is untrue.
the equation would only be true if the a values were positive.
Answer:
<u>The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Diameter of a mound of the mixture = 15 feet
Height (h) of the mound of the mixture = 10 feet
How much salt-sand mixture is there?
2. Let's find the volume of a mound of mixture with a conical shape:
For doing that, we need to use the volume formula of a cone.
It's: 1/3 * π * r² * h
Replacing with real values, we have:
1/3 * 3.1416 * 7.5 ² * 10 (Diameter = 15, so radius = Diameter/2 = 15/2 = 7.5)
Volume = 1/3 * 3.1416 * 56.25 * 10
Volume = 1/3 * 3.1416 * 562.5 (56.25 * 10 = 562.5)
<u>Volume = 187.5 * 3.1416 = 589.05 feet ³ or 589.05 cubic feet.</u>
