Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
1 answer:
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<em><u>Question:</u></em>
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
<em><u>Answer:</u></em>
The actual length of Hector room is 14 foot
<em><u>Solution:</u></em>
Given that, On the floor plan, his bedroom is 3 inches wide and inches long
<em><u>The scale of floor plan is given as:</u></em>
Therefore,
To find: Actual length of floor
From given question,
Converting the mixed fraction to improper fraction,
Since, 1 inch = 4 foot
Thus actual length of Hector room is 14 foot
I am not quite sure what the question asks for,
But this is what i assume it wants:
Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
: It looks like this in the calculator
× cos A=(0.6489)
( and cos cancels out)
A=(0.6489)
A=49.54°
check:
cos 49.54=0.6489 (its right!)
But this is what i assume it wants:
Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
(
A=
A=49.54°
check:
cos 49.54=0.6489 (its right!)
Given:
The measurement of the angles of a triangle are 3b,2b,and 4b.
To find:
The smallest angle.
Solution:
According to the angle sum property, the sum of all angles of a triangle is 180 degrees.
[Angle sum property]
Divide both sides by 9.
Now,
Therefore, the smallest angle is 40 degrees.