Answer:
The length is 13m.
Step-by-step explanation:
![v = lwh \\ \\ 2873 = l(13)(17) \\ 2873 = 221l \\ l = 2873 \div 221 \\ l = 13](https://tex.z-dn.net/?f=v%20%3D%20lwh%20%5C%5C%20%20%5C%5C%202873%20%3D%20l%2813%29%2817%29%20%5C%5C%202873%20%3D%20221l%20%5C%5C%20l%20%3D%202873%20%20%5Cdiv%20221%20%5C%5C%20l%20%3D%2013)
Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park: width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm
Convert mixed factions into fractions.
Scale 1 1/4 = (4*1+1)/4 = 5/4
Width: 2 1/2 = (2*2+1)/2 = 5/2
Length: 6 1/4 = (4*6+1)/4 = 25/4
Diameter: 1 1/4 = (4*1+1)/4 = 5/4
width / scale * 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 * 4/5 = 20/10 = 2 * 8 yds = 16 yds
length / scale * 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 * 4/5 = 100/20 = 5 * 8 yds = 40 yds
Area of a rectangular park = l * w = 40 yds * 16 yds = 640 yds²
diameter / scale * 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 * 4/5 = 20/20 = 1 * 8 yds = 8 yds.
radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 * 4² = 3.14 * 16yds² = 50.24 yds²
Answer:
<u>The negative solution is -4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = a number
4x = x² - 32 (4 times a number is 32 less than the square of that number)
2. Let's solve for x and find the negative solution:
4x = x² - 32
-x² + 4x + 32 = 0
x² - 4x - 32 = 0 (Multiplying by - 1)
(x - 8) (x + 4) = 0
(x₁ - 8) = 0
(x₂ + 4) = 0
x₁ = 8
<u>x₂ = -4</u>
<u>The negative solution is -4</u>
Answer:
the probability of rain is 0.3. The probability of no rain is 1–0.3= 0.7
0.7 is the probability that it does not rain.Step-by-step explanation:
Answer:
19 (using "3.14" as pi)
18.99036781...(using pi button)
Step-by-step explanation:
Formula: C=dπ
so, (59.66)=dπ
you would divide circumference (C) by pi which will get you the answers above :)
hope this helped