Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be
.
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be
.
Answer:
Geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
We have given,
A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.
So,
Area of a board = 48 × 24 = 1152 square inches
And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}
Area of circular hole = π×3² = 9π = 28.27 square inches
Now, we need to find the geometric probability of an object will hit the circle.
Geometric probability = Area of circular hole / Area of board
Geometric probability = 
Geometric probability = 0.0245
hence geometric probability of an object hitting a circular hole is 0.0245.
$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450
$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29
111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491
They can invite 111 people and will have $9 to spare
Answer:
20
Step-by-step explanation:
to find the mean, it means to find the average.
steps:
first, you add up all the numbers.
then you divide that total number by the total number of numbers you have.
and that is ur answer!!
17+19+21+23=80 add up all numbers
80÷4=20 divide total by the amount of numbers
The average/mean is 20.
plz give brainliesttttt
Answer:108 ins. squared
Step-by-step explanation:
So first you want to decide which way you want to divide the shape.
I am going to do it this way...
So the bottom is 16ins. and the top part is 10 ins.
So when you subtract 16-10 you get 6.
This means that the small portion sticking up is 6 ins. across.
According the left side the width with the small part is 8 ins.
So now we find the area of that half.
6 times 8 is 48ins.
Now we are going to get the other part.
The top says it is 10 ins.
The side says it is 6 ins.
Now we multiply 10 by 6 nd get 60 ins
We are almost finished, all we have to do is add 60 and 48.
Your answer is 108ins.squared.