Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
Let's solve for x.
−b3+3b2+8−(x−5b2−9)=5b3+8b2+17
Step 1: Add b^3 to both sides.
−b3+8b2−x+17+b3=5b3+8b2+17+b3
8b2−x+17=6b3+8b2+17
Step 2: Add -8b^2 to both sides.
8b2−x+17+−8b2=6b3+8b2+17+−8b2
−x+17=6b3+17
Step 3: Add -17 to both sides.
−x+17+−17=6b3+17+−17
−x=6b3
Step 4: Divide both sides by -1.
−x
−1
=
6b3
−1
x=−6b3
Answer:
x=−6b3
Answer:
btfol
Step-by-step explanation:
Answer:
A car slows to stop at a stop sign. Once traffic is clear, the car speeds up.
Step-by-step explanation:
The lines are longer, signifying faster movement, and then shorter, signifying slower movement, and then vice versa.
Answer:
- There are two solutions:
- B = 58.7°, C = 82.3°, c = 6.6 cm
- B = 121.3°, C = 19.7°, c = 2.2 cm
Step-by-step explanation:
You are given a side and its opposite angle (a, A), so the Law of Sines can be used to solve the triangle. The side given is the shorter of the two given sides, so it is likely there are two solutions. (If the given side is the longer of the two, there will always be only one solution.)
The Law of Sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Of course, the sum of angles in a triangle is 180°, so once you find angle B, you can use that fact to find angle C, thus side c.
The solution process finds angle B first:
B = arcsin(b/a·sin(A)) . . . . . . or the supplement of this value
then angle C:
C = 180° -A -B = 141° -B
finally, side c:
c = a·sin(C)/sin(A)
___
A triangle solver application for phone or tablet (or the one on your graphing calculator) can solve the triangle for you, or you can implement the above formulas in a spreadsheet (or even do them by hand). Of course, you need to pay attention to whether the functions involved give or take <em>radians</em> instead of <em>degrees</em>.
