The Law of Cosines is useful for this. It tells you
b² = a² +c² -2ac×cos(B)
where the length BD is c×cos(B). Solving for BD, we get
(b² -a² -c²)/(-2a) = BD
However, BD = BC +CD = a +CD, so we really want to find
CD = (a² +c² -b²)/(2a) -a
CD = (c² -a² -b²)/(2a)
Substituting the given numbers, we have
CD = (16² -9² -10²)/(2×9) = 75/18 = 25/6
The length CD is 25/6 = 4 1/6.
This will help
HOY -- horizontal line, 0 slope, represented by y = a number
VUX -- vertical line, undefined slope, represented by x = a number
so...y = 1....it is a horizontal line with a 0 slope....that 1 is ur y intercept
You are holding a heterogeneous mixture but once the ice cubes melt the mixture will become homogeneous. A heterogeneous mixture is when you can see and separate the different parts of the item you have. A homogeneous solution is when you can't separate the item you have by physical means<span />
Answer: $ 6
Step-by-step explanation:
Here, the cost price of each soup = x dollars
The cost price of 16 soup = 16 x
The selling price of 16 soup = 16 x + 96
Since, the total money received for 16 soup = The selling price of 16 soup - The cost price of 16 soup
= 16 x + 96 - 16 x
= 96
Thus, the total money received for 16 soup = 96 dollars
⇒ The total money received for 1 soup = dollars
⇒ The total money received for 1 soup = 6 dollars
Hence, for each soup 6 dollars is received.
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
Since the radius of the circle is 4.7 inches, we can plug 4.7 in for the radius in our formula.
Remember that 4.7 in.² is equal to 4.7 inches × 4.7 inches or 22.09 in.².
Now, remember that pi is approximately equal to 22/7 or 3.14. This means that we can estimate the area of the circle by plugging in 3.14 for pi.
Area = 69.36 in.²
Now, let's find the circumference of the circle. To find the circumference of a circle, start with the formula for the circumference.
Circumference = 2πr
Notice that our radius is 4.7 inches which means we can plug in 4.7 inches for the radius in our formula.
Circumference = (2) (π) (4.7 in)
Circumference = 9.4π inches