<h2>
Answer:</h2>
59 can be cut from the spool.
3 Inches is left over.
<h2>
Step-by-step explanation:</h2>
- 237 feet in 79 yards.
- 237 / 4 = 59.25
- 59 is the whole number, .25 is what is left over.
- .25 feet is 3 inches.
177 miles/3 hour x (5280 ft/1 mile) x (1 hour/3600 seconds)=934560/10800=86.533 ft/sec
86 ft/sec
Answer:
Step-by-step explanation:
3 x 81 (to the power of 4 is the same as the square, squared, so 9 x 9) = 3x
243 = 3x
81 = x
Answer: 3x^4 +x^3 -2x^2 +3x +2
Step-by-step explanation:
(3x^4 - 2x^3 + 4x -2) + (3x^3 - 2x^2 - x +4)
There are no like terms for 3x^4, so leave it alone.
-2x^3 + 3x^3 = 1x^3
No like terms for -2x^2
4x - x = 3x
-2 + 4 = 2
Answer? 3x^4 +x^3 -2x^2 +3x +2
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Answer:
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)
Step-by-step explanation:
We will make use of trig identities to solve this. Here are some common trig identities.
Cos (A + B) = cosAcosB – sinAsinB
Cos (A – B) = cosAcosB + sinAsinB
Sin (A + B) = sinAcosB + sinBcosA
Sin (A – B) = sinAcosB – sinBcosA
Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to
cosAcosB + sinAsinB and we know that
cosAcosB + sinAsinB = cos(A – B). Therefore,
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)