Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug =
We are given that the area of the rug is 24 square feet.
So,
---A






Substitute x =9 in A


LHS = RHS
Substitute x = 3.5


LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.
Answer:
5 units right, 2 units up
Answer:
z = -0.4.
Step-by-step explanation:
Here's the formula for finding the z-score (a.k.a. standardized normal variable) of one measurement
of a normal random variable
:
,
where
is the z-score of this measurement,
is the value of this measurement,
is the mean of the random normal variable, and
is the standard deviation (the square root of variance) of the random normal variable.
Let the length of a trout in this lake be
inches.
.
, and
.
For this measurement,
. Apply the formula to get the z-score:
.
We know that these two angles are in the ratio 1:2 and add to 90 because they are complementary
So we can write the equation
x+2x=90
3x=90
x=30
So the first angle measure is 30
Since they are in the ratio 1:2, the second angle is twice 30 so 60
Hope this helps
Answer:
radius = circumference / (2 * PI)
radius = 5.8378033126
Circle Area = PI * radius^2
Circle Area = PI * 5.8378033126^2
Circle Area = PI * 34.0799475167
Circle Area = 107.07 square units
Step-by-step explanation: