Hi there! The answer is 61.5 square feet.
The area of a rectangle can be found using the formula:
A = L × W = length × width
The area of the floor is
12 × 10 = 120 square feet.
The area of the rug is
6.5 × 9 = 58.5 square feet.
The area of the floor that is not covered by rug is
120 square feet - 58.5 square feet =
61.5 square feet.
The answer is 61.5 square feet.
~ Hope this helps you!
Answer:
Step-by-step explanation:
hello :
note : the vertex form is :
ax²+bx+c = a(x+(b)/(2a))²- delta/4a² and delta = b²- 4ac
in this exercice you have : a =1 b = 16 and c=64
continu ..........
The first thing you should do for this case is to know the definition of the perimeter of the circle.
The perimeter of the circle is:
C = 2 * pi * r
Where,
r: radius of the circle.
Substituting we have:
C = 2 * (3.14) * (r).
Another alternative way is:
C = 2 * pi * (d / 2)
rewriting:
C = pi * d
Substituting we have:
C = (3.14) * d
Where d is the diameter of the circle.
Note: to complete the answer substitute the radius or the diameter of the circle in the given equations.
Answer:
C = (3.14) * d
C = 2 * (3.14) * (r).
Answer:
tan 10 degrees.
Step-by-step explanation:
tan x = cot (90 - x) so:
cot 80 = cot (90 - 10)
= tan 10.
It may help you to consider the standard normal curve. If the mean here is 70%, then 0.5 of the area under this curve. In other words, half the students received a grade > 70%. That would be 100 students.
Note that 84 is 2 std dev above the mean.
Recall the Empirical Rule: 95% of scores lie within 2 std. dev of the mean.
Measuring from the mean, that would be 47.5% above the mean and 47.5% below the mean. The area to the right of the mean is 0.5. Subtract 0.475 from that to obtain the fraction of students who rec'd a grade greater than 2 std dev from the mean: It's 0.025.
Then the # of students who rec'd a grade greater than 84% would be
0.025(200 students) = 5 students.