The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and<span> (10, –4)</span>.
Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = <span>12</span> units.
The area of triangle PQR is<span>108</span> square units.
Answer:
The relation is 'a function that is one-to-many'.
Step-by-step explanation:
From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.
In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.
Therefore, the relation is 'a function that is one-to-many'.
PART 1:55-21=35
35/60=<span>.58333
360</span>×<span>.58333 =210 DEGREES
</span><span>210*pi/180 = 3.665 RADIANS
PART 2: </span><span>(pi) x 2r x .58333
</span><span>3.14 x 12 x .58333 = 21.98 in
PART 3: </span><span>5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians
PART 4: </span><span>2.618 radians * 180/pi = 150° </span>
<span> x coordinate = 6(cos 150°) = -5.196 </span>
<span> y coordinate = 6(sin 150°) = 3 </span>
<span> the coordinates would be (-5.196, 2)</span>
Given that ABC is a right angle triangle with m∠C=90°, m∠B=75° and AB=12cm.
Area of triangle =
=
So we need to find BC,AC now.
To find them let us take sinB and cosB.
SinB =
BC = 12* cos B = 12* cos 75
So, area =
= 72*sin(75)*cos(75)
= 36*(2sin(75)cos(75))
= 36*sin(150) = 18
Hence area of triangle is 18
Hope this helps tbh sorry I was a little late btw (:
we know that
1 ft-------> is equal to 12 in
step 1
find the area of the walk
18 in wide--------> convert to ft
18/12=1.5 ft
area=1.5*32------> 48 ft²
step 2
find the cost at $2.10 a square foot
multiply 48 ft² by $2.10
48*2.1=$100.80
therefore
the answer is
$100.80
