Answer:
D = √(6 - 9)^2 + (3 + 2)^2]
Step-by-step explanation:
This is an application of the Pythagoras theorem:
D = √ [(x2 - x1)^2 + (y2 - y1)^2] where the 2 points are (x1, y1) and
(x2, y2).
So in this case we have
D = √[(6 - 9)^2 + (3 - -2)^2]
D = √(6 - 9)^2 + (3 + 2)^2]
Hello there
When we multiply a function by -1, the graphs flips over the x-axis.
To solve this problem, first we have to figure out how many total rolls Hanna buys.
3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls
108 rolls + 48 rolls = 156 rolls.
Next, it says that Hanna uses 8 rolls of film. To model this in our expression, we need to subtract 8 rolls from our total amount.
156-8 = 146 rolls
Hanna has 146 rolls left.
Answer:
1005 in^3
Step-by-step explanation:
Think of this cake as a cylindrical solid of base radius 8 in and height 5 in.
The volume is V = (base area)(height), which here is:
V = (pi)*(8 in)^2*(5 in) = 320pi in^3, or approximately 1005 in^3
The complete question in the attached figure
we know that
<span>m∠BAC = 50°
</span><span>m∠CBA = 70°
and
</span>m∠BAC+m∠CBA+m∠ACB=180°
then
m∠ACB=180-[m∠BAC+m∠CBA]---------> 180°-[50°+70°]=60°
m∠ACB=60°
remember that
BC║DE
therefore
m∠ACB=m∠DEC
m∠DEC=60°
the answer is m∠DEC=60°