Minor arc AD is 360° -124° -78° = 158°. Then angle ABD is
(158° -78°)/2 = 40°
The appropriate selection is
C) 40°
Answer:
How many people are not allergic to any of the three choices? 22
How many people are allergic to all three choices? 1
How many people are allergic to both dogs and cats but not allergic to pollen? 7
How many people are allergic to cats only? 18
Sure you do.
What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis ! So the x-intercept is the point where
5x + 3(0) = k
5x = k
<u>x = 0.2 k</u>
Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis ! So the y-intercept is the point where
5(0) + 3y = k
3y = k
<u>y = k/3</u>
The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
<u>k = 60.9375 </u>
The x-intercept is (0.2k, 0) = the point (12.1875, 0) .
The y-intercept is (0, k/3) = the point (0, 20.3125) .
Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?
Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.
(12.1875)² + (20.3125)² = the square of the distance.
If you don't get 23.688 for the distance, then check your arithmetic.
Answer:
60 lbs large and 25 lbs small box
Step-by-step explanation:
50 large and 50 small boxes = 50 * 85 = 4250
5150-4250 =900 lbs weigh of 15 big boxes,
1 big box= 900 divide 15 = 60 lbs
85-60= 25 lbs = 1 small box
Answer:
Its c
Step-by-step explanation:
