Answer: B
Step-by-step explanation:
Since this is a 30-60-90 triangle, b=8(sqrt3) = 8sqrt3.
By the same logic, c=8(2)=16.
The group rent 11 river rent tubes and 4 cooler tubes.
Step-by-step explanation:
Rent for river rent tube = $20
Rent for cooler tubes = $12.50
Total spent = $270
Total tubes rented = 15
Let,
x be the number of river rent tube.
y be the number of cooler tubes.
According to given statement;
x+y=15 Eqn 1
20x+12.50y=270 Eqn 2
Multiplying Eqn 1 by 20

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 7.5

Putting y=4 in Eqn 1

The group rent 11 river rent tubes and 4 cooler tubes.
Keywords: linear equations, subtraction
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The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.
The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius.
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2²
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.
Answer:
<em>m∠ FAE = 20°, m∠ CAD = 60°</em>
Step-by-step explanation:
If you take a look at the picture below, this explanation proves that the measure of FAE ⇒ 20°, and m∠ CAD = 60°;