Answer:
estimated (1,-4) algebraic (7/5.-22/5)
Step-by-step explanation:
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h
We can find the height with the Pythagorean theorem by splitting the triangle in half.
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27
Then we can find the area:
A=1/2*6*√27
A=3√27 or =9√3 or 15.59
Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.
Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71
So three of these regions would have an area of 14.14
We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45
Hope this helps!
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Answer:
The value of t is 1.75 years.
Step-by-step explanation:
Given that simple interest formula is I = (P×R×T)/100. So you have to substitute the following values into the formula :
"ug" stands for microgram. You can convert microgram into grams by multiplying a certain factor. For this case, 1 microgram is known to be 1x10^-6 g. This is the conversion factor that will be multiplied to 3.54.
3.54 ug ( 1x10^-6 g / 1 ug ) = 3.54 <span>x10^-6 g</span>
Answer:
Perimeter of the dog park = 15.4 yards
Step-by-step explanation:
Coordinates of the vertices of the given triangle are,
P(1, 2), Q(1, 6), R(-4, 2)
Since distance between the two points 
and 
is,
d = 
Length of PQ = 
PQ = 4
Length of PR = 
PR = 5
Length of QR = 
QR = 
= 
= 6.4 yards
Therefore, perimeter of the given triangle = PQ + QR + PR
= 4 + 6.4 + 5
= 15.4 yards
