2x=720-(120+120+120+100+10)
2x=720-470
2x=250
simplify by dividing each side by 20
answer: x=125
<span>What word comes to mind when you hear “associative?” It comes from “to associate, to be grouped together.” Parentheses show the association and the operations in the parentheses are performed first. Notice that the order of the numbers does not change – only the grouping. The associative property becomes important because it allows the mathematician, you, to add or multiply numbers with ease. When you follow the examples below it will become clear how the associative property is used. The associative property can only be used for addition and multiplication, not for subtraction or division.</span>
Answer:
<em>Option D is correct</em>
Step-by-step explanation:
Applying the cosine theorem for triangle ABC, you would have:
cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)
= (10^2 + 18^2 - 20^2)/(2*10*18)
= 24/360
=> angle BAC = ~86 deg
Hope this helps!
You can solve this problem and calculate the height of the pole, by following the steps below:
Tan(α)=Opposite leg/Adjacent leg
α is the angle of elevation (α=<span>67°).
</span> The opposite leg is <span>the height of the pole. Let's call it "x".
</span> Adjacent leg=137 feet
When you substitute these values into the formula Tan(α)=Opposite leg/Adjacent leg, you have:
Tan(α)=Opposite leg/Adjacent leg
Tan(67°)=x/137
You must clear the "x"
x=137xTan(67°)
x=322.75
W<span>hat is the height of the pole?</span>
The answer is: The height of the pole is 322.75 feet.
