Answer:
15 feet.
Step-by-step explanation:
A bulletin board has been shown in the figure below.
Where the width of the board AB = DC = 
= 4.5 feet
and the length of the board AD = BC = 6 feet
As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.
In right angle triangle <em>ADC</em>, using Pythagorean Theorem,
= 
feet
Similarly in triangle <em>BDC</em>,
feet
Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet
Answer:
Angle = 45
Supplement = 135
Complement = 45
Step-by-step explanation:
Product of a number and four is 4x
<span>12 more than that is 12+4x </span>
<span>fewer than 60 </span>
<span>12 + 4x < 60</span>
Answer:
1/3
Step-by-step explanation:
The probability of a student winning is 1/4.
The probability of a prize being selected is 1/3.
The probability of Gail winning a scarf is 1/4 × 1/3 = 1/12.
The probability of Simon winning is 1/4.
The probability of either is 1/12 + 1/4 = 1/3.
<h2>Answer</h2>
0.43
<h2>Explanation</h2>
Remember that 
Since the problem is telling us "Among tenth graders", we must focus on the 10th graders row only. From the row, we can infer that the frequency is the number of 10th graders who prefer going to sporting events, so 
. Now, the sum of all frequencies will be the sum of all the 10th graders, so 
. Let's replace the values:
And rounded to the nearest hundredth:
