The decimal 2.25 is equal to the fraction 9/4.<span> The decimal first needs to be converted to the basic fraction 2 1/4 before being converted to an improper fraction.</span><span>The top of a fraction is called the numerator while the bottom is known as the denominator. The whole number standing before a fraction is referred to as an integer.An improper fraction is formed by first multiplying the denominator by the integer, in this case, arriving at eight. The next step is to add the numerator to this sum, totalling nine. This number is then used as the numerator of the improper fraction.</span>
Boys to girls ratio is 3:4 so for every 7 students 3 are boys and 4 are girls bc 3+4 is total students in the ratio. boys are 3/7 so out of 28 students there are 12 boys and girls are 4/7 so out of 28 students 16 are girls
12/28 are boys
16/28 are girls
First find the volume of the box:
V=2*2.2*2.5=11 cm^3
Then find the desity given by grams divided by volume:
density=25.6 g/ 11 cm^3 = 2.327 g/cm^3
Round to the nearest tenth, so 2.3 g/cm^3.
I hope that helped.
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
