Answer:
domain (-4,infinity) range (negative infinity, infinity)
Step-by-step explanation:
The domain is the x axis. the x axis starts at -4 and keeps going meaning it goes to infinity. the range is the y axis. the range has no determined starting point or end point meaning it goes to negative infinity and positive infinity
Answer:
The dimensions of the garden are 22.5ft by 27.5ft
Step-by-step explanation:
Here, we want to calculate the dimensions of the garden.
let the length be x ft
we are told that the he wants the length to be 5 feet more than the width;
That means the width will be (x-5) ft
Mathematically;
Since the shape is rectangular, the perimeter will be 2( l + w)
Thus; 2(x + x-5) = 100
2(2x-5) = 100
divide both sides by 2
2x-5 = 50
2x = 50 + 5
2x = 55
x = 55/2
x = 27.5 ft
The width is thus; 27.5ft - 5ft = 22.5ft
the dimensions of the garden are 27.5 ft by 22.5 ft
Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
Answer:
Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation:
Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
Answer:
the triangle is not right angled traingle
Step-by-step explanation:
For a right angle triangle
+ 
= 
where a is the base , b is the height and c is the hypotenuse
taking a= 6 b = 14 and c = 15
hence 
+
= 
36+196 = 232 which is not equal to 225
therefore the triangle is not right angled traingle
