1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
Answer:
-2.23 ; 0.012874
Step-by-step explanation:
Given that :
Population mean (μ) = 25 minutes
Same mean (x) = 24min 12 seconds = 24.2 minutes
Standard deviation σ = 3
Sample size (n) = 70
Test statistic :
Using the relation :
Tstatistic = (x - m) / σ/sqrt(n)
Tstatistic = (24.2 - 25) / (3/sqrt(70)
Tstatistic = - 0.8 / 0.3585685
Tstatistic = - 2.2310939
= - 2.23
The P value can be obtained using a. P value Calculator :
P at α = 95% and test statistic = - 2.23
Hence, p = 0.012874 using calculator
Answer:
Step-by-step explanation:
The heat absorbed by the ice cube is calculated by the following formula:
![Q = (10\,g)\cdot[(2.090\,\frac{J}{kg\cdot ^{\textdegree}C} )\cdot (0^{\textdegree}C +12.2^{\textdegree}C)+334\,\frac{J}{g} + (4.186\,\frac{J}{kg\cdot ^{\textdegree}C})\cdot (30.2^{\textdegree}C-0^{\textdegree}C)]](https://tex.z-dn.net/?f=Q%20%3D%20%2810%5C%2Cg%29%5Ccdot%5B%282.090%5C%2C%5Cfrac%7BJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%20%29%5Ccdot%20%280%5E%7B%5Ctextdegree%7DC%20%2B12.2%5E%7B%5Ctextdegree%7DC%29%2B334%5C%2C%5Cfrac%7BJ%7D%7Bg%7D%20%2B%20%284.186%5C%2C%5Cfrac%7BJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%29%5Ccdot%20%2830.2%5E%7B%5Ctextdegree%7DC-0%5E%7B%5Ctextdegree%7DC%29%5D)
The catcher at home base will need to throw the baseball 90 ft. the answer is 90ft because you just have to cut straight across, resulting in 90ft.
Answer:
I would guess like 3
Step-by-step explanation:
