Answer:
The answer is number 4. 21.3 cm
Step-by-step explanation:
In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.
We substitute the values in the Pythagorean Theorem
c² = a² + b²
We clear the equation for b
b² = c² - a²
b² = (24)² - (11)²
b² = 576 - 121
b² = 455
√b² = √455
b = 22.3 cm
Answer:
Average percentage of occupancy = 93%.
Step-by-step explanation:
If a facility has 150 beds, then over a 30 day period they could have as many as 150 x 30 or 4,500 occupied beds. Since over the given 30 day period they only had 4,200 occupied beds, we can find the average percentage of occupancy by dividing the actual number by the expected number and multiplying by 100:
x 100 = 93%
The ratio for Rowan = <u>4:1</u>.
The ratio for Marcia = <u>10:1</u>.
The ratio for Jillian = <u>5:1</u>.
The ratio for Lulua = <u>6:1</u>.
The smallest ratio among these for purple to white flowers is for Rowan, that is, <u>4:1</u>.
Ratios are fractions in the simplest form representing the relationship between two quantities.
The ratio of purple to white flowers for each friend can be shown as:-
Rowan:
The number of purple flowers = 8
The number of white flowers = 2
Thus, the fraction of purple to white flowers = 8/2 = 4/1.
Thus, the ratio for Rowan = 4:1.
Marcia:
The number of purple flowers = 10
The number of white flowers = 1
Thus, the fraction of purple to white flowers = 10/1.
Thus, the ratio for Marcia = 10:1.
Jillian:
The number of purple flowers = 10
The number of white flowers = 2
Thus, the fraction of purple to white flowers = 10/2 = 5/1.
Thus, the ratio for Jillian = 5:1.
Lulua:
The number of purple flowers = 18
The number of white flowers = 3
Thus, the fraction of purple to white flowers = 18/3 = 6/1.
Thus, the ratio for Lulua = 6:1.
The smallest ratio among these for purple to white flowers is for Rowan, that is, <u>4:1</u>.
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