Answer:
42.1 cm
Step-by-step explanation:
θ = 265°
Radius (r) = 9.1 cm
Arc length of major arc GH = θ/360 × 2πr
Plug in the values into the equation
Length of arc GH = 265/360 × 2 × π × 9.1
= 42.0886149
= 42.1 cm (nearest tenth)
Answer:
18 small dogs
Step-by-step explanation:
Given the ratio of small dogs to all dogs was 3:7
Total dogs that are there = 42 dogs
Number of small dogs there = ratio of small/ratio of all dogs * Total dogs
Number of small dogs there = 3/7 * 42
Number of small dogs there = 3 * 6
Number of small dogs there = 18
Hence there are 18 small dogs there
Answer:
<h2>
Therefore the length of a side of a cube is ![\sqrt[3]{64}\ or\ 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%5C%20or%5C%204)
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Step-by-step explanation:
The volume of a cube is expressed as L³ where L is the length of each side of the cube.
Given volume of a cube = 64in³
On substituting;
64 = L³
Taking the cube root of both sides to determine L we have;
![\sqrt[3]{64} = (\sqrt[3]{L})^{3}\\\sqrt[3]{64} = L\\L=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%20%3D%20%28%5Csqrt%5B3%5D%7BL%7D%29%5E%7B3%7D%5C%5C%5Csqrt%5B3%5D%7B64%7D%20%3D%20L%5C%5CL%3D4)
Therefore the length of a side of a cube is ![\sqrt[3]{64}\ or\ 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%5C%20or%5C%204)
-x/8<-1/2. Use the reverse order of operations to solve this. So, as both sides are negative, multiply them by -1 to get you to x/8>1/2, as multiplying by a negative flips the symbol. Solve that by multiplying 1/2 to 8/1. Multiply the numerators and denominators, to give you 8/2. Simplified, x>4