Answer:
C) 19.5 square units
Step-by-step explanation:
The area from coordinates can be computed as ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|
= (1/2)|-39| = 39/2 = 19.5
The area of the triangle is 19.5 square units.
Answer:
297 cubic centimeters
Step-by-step explanation:
volume is LWH
11*9*3 = 297
Let's solve your inequality step-by-step.
<span><span><span>10x</span>+18</span><<span>−2
</span></span>Step 1: Subtract 18 from both sides.
<span><span><span><span>10x</span>+18</span>−18</span><<span><span>−2</span>−18
</span></span><span><span>10x</span><<span>−20
</span></span>Step 2: Divide both sides by 10.
<span><span><span>10x/</span>10</span><<span><span>−20/</span>10
</span></span><span>x<<span>−2
</span></span>Answer:
<span>x<<span>−<span>2</span></span></span>
ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
