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rodikova [14]
2 years ago
15

Homework - Pure Year 1 - Chapter 11B

Mathematics
1 answer:
ycow [4]2 years ago
5 0

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

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A cylindrical pipe is 25 ft long and has a volume of 900ft3 find it's approximate diameter to the nearest hundredth of a foot
Andrew [12]

Answer:

Diameter of the pipe ≈ 6.77 ft

Step-by-step explanation:

Volume of a cylinder = πr²h

Here, r = Radius of the cylindrical pipe

h = Length of the pipe

Volume of the pipe = 900 ft³

Length of the pipe = 25 ft

By substituting the given values in the formula,

900 = π(r)²(25)

r² = \frac{900}{25\pi}

r = √11.459

r = 3.385

Diameter = 2(radius)

                = 2(3.385)

                = 6.77 ft

3 0
3 years ago
Using mixed numbers, write a problem in which an estimate is enough to solve the problem.​
KengaRu [80]

explain:

Estimating Differences of Fractions and Mixed Numbers

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, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12

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7 0
3 years ago
Find -63+(-208)+(-11)
-BARSIC- [3]
<span> -63 + (-208) + (-11) = -63 - 208 - 11 = -282

-------------------------------------------
Answer: -282
</span>-------------------------------------------
6 0
3 years ago
Read 2 more answers
If the survey were extended to include 3200 people how many people would prefer dramma?
hichkok12 [17]
If you went by the numbers on the pie chart 25% prefered dramma, 
25% of 3200 people is 800
4 0
3 years ago
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What is the solution of the equation when solved over the complex numbers?<br><br> x^2+27=0
Luba_88 [7]

Answer:

(0,27)

Step-by-step explanation:

x2 + 27 = 0

Solutions based on quadratic formula:

x1  

= −0 − √ 02 − 4×1×27   2×1 = 0 − 6 × √ 3 i   2 ≈ −5.196152i

x2  

= −0 + √ 02 − 4×1×27   2×1 = 0 + 6 × √ 3 i  2 ≈ 5.196152i

Extrema:

Min = (0, 27)

8 0
3 years ago
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