Select two ratios that are equivalent to 4:18.
1 answer:
Answer: The two ratios that are equivalent to 4:18 include 2:9 and 8:36
Step-by-step explanation:
To be able to solve this question, we've to simplify the given ratio. Therefore, 4:18 will be reduced to the lowest term and this will be:
= 4/18 = 2/9
Also, when 4/18 is multiplied by 2 for both the numerator and denominator, the value will be:
= 4×2/18×2
= 8/36
Therefore, the correct options will be B(2:9) and E(8:36).
it is easy.....
first, convert this ratio into a fraction
4 : 18 = 4/18
now , equivalent fractions
= 4 = 4 × 2 , 4 × 3
18 = 18 × 2 ,18 × 3
now answer
= 4/18 , 8/36 , 12/54
again covert into ratio
= 4:18 , 8:36 , 12:54
36 and 2 are (the GCF and the LCM)
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
36
Find the prime factors of each term to find the greatest common factor (GCF).
2
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We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h
1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6
Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3) whole area=A1+A2=25/2+75/2=100/2=50
Volume of the cone V=1/3 *πr²*h
1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6
Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3) whole area=A1+A2=25/2+75/2=100/2=50