Answer:
Width=25 ft and length=30 ft
Step-by-step explanation:
In order to find the answer let's remember that the area (A) of a rectangle is:
Let's assume that the length of the room is 'X' feet.
Becuase the problem mentioned that the width (Y) of the room is 5 feet less than the length, then:
Now, using the area equation we have:
A=width*length
but using the width expression we have:
Using the root's equation we have:
Because the length (X) can't be negative, then length=30 feet. In order to find the width we have:
So the width is 25 feet.
In conclusion the room has a width=25 ft and length=30 ft.
Assuming that this is an Isosceles Triangle which has 2 sides equal, then we can assume as well that XZ being the base of 15 and the total perimeter is XWZ = 50.
Perimeter = X + W + Z
Therefore;
XWZ (50) – XZ (15) = 35
Since we are assuming that this is an Isosceles triangle then 2 sides should have equal distance.
35 / 2 = 17.5
Hence, XW = 17.5 and ZW = 17.5
Perimeter = 15 + 17.5 + 17.5 = 50
Answer:
(78, 80)
Step-by-step explanation:
Given a normal distribution :
Mean = 79 seconds
Standard deviation = 0.5 seconds
Using the empirical rule :
95% of her finishing times :
According to the empirical rule, 95% represents 2 standard deviations from the mean that is ± 2 standard deviations from the mean score or value.
Hence ;
The interval will be defined as ;
Mean ± 2(standard deviation)
79 ± 2(0.5)
79 ± 1
(79 - 1) ; (79 + 1)
78 ; 80
D;
supplementary angles sum up to 180°, so let's say we have two angles, a and b, a + b = 180, but we know that a is twice the measure of her partner, so a = 2b.
(Note: The diameter is 10ft.)