Answer:
Step-by-step explanation:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is .
We know that the circle is tangent to the axis at
That means the x coordinate of the center has to be , as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is where is the center and is the radius. When we put the numbers in: we get which can be simplified into which is the answer.
Rate of flow of water in the fish tank will be given by:
rate=volume/time
the rate of our tank is 15 gallons every 10 minutes. Thus,
rate=15/10=1.5 gallons/ minute
Therefore time taken for the tank to overflow will be:
time=volume×rate
volume of the tank=315 gallons
rate=1.5 gallons per minute
hence:
time=315×1.5
=472.5 minutes
=7 7/8 hours=7.875 hours
So if the delievery man weighs 160 pounds and the books is 40 pounds. and the capacity he can carry is 950 then we have to figure out how many books a 160 can carry.
Division: 160/40=4
950/4=237.5
i tried to answer it. unless i try one more strategy.
Multiply: 160*40=6400
Divison: 6400/950= <span>6.73684210526
</span>try and round that huge number and figure it out. because i tried. im sorry. i hope you passed.
CDE = 2 + 2 = 4
I am just joking is is NOT the answer
I need to answer questions
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.
First, do you remember "vertical angles" ? They're the pair of opposite angles
that form where lines cross, and they're equal.
-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.
-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.
Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.
See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are. Angle-7 is 55 degrees, and angle-6 is 60 degrees.
Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.
Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.
So angle-10 is just the rest of the 180 degrees inside the triangle.
Angle-10 = 180 - (115) = 65 degrees