Answer:
Step-by-step explanation:
The line integral is
Now evaluate the integrals separately
therefore
<h2>
Answer:</h2><h2>14</h2><h2>
Step-by-step explanation:</h2>
Original Width: 10.5
Original Length: 12
Scaled Width: 3.5
Scaled Length: ?
We will be using x to find the unknown scale multiplier
<h2>
Solving for x:</h2>
3.5=10.5/x
Multiply both sides by x:
3.5•x=10.5/x•x
3.5x=10.5
Divide both sides by 3.5:
3.5x/3.5=10.5/3.5
x=3
<h2>
To find the length, we need to divide the original length by 3:</h2>
12/3=4
<h2>The area of the scaled model (Scaled Length*Scaled Width):</h2>
Scaled Width: 3.5
Scaled Length: 4
3.5•4=14
<em>Hope this helped!</em>
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 3x - 7y = 42
7y = 3x - 42
y = 3/7 x - 6; Hence m1 = 3/7
m2 = -1/(3/7) = -7/3
Required equation y - y1 = m2(x - x1)
y - (-8) = -7/3(x - (-3))
y + 8 = -7/3(x + 3)
y + 8 = -7/3 x - 7
y = -7/3 x - 7 - 8
y = -7/3 x - 15
Answer:
The correct option is second one i.e 24 units.
Therefore the height of the triangle is
Step-by-step explanation:
Given:
An equilateral triangle has all sides equal.
ΔMNO is an Equilateral Triangle with sides measuring,
NR is perpendicular bisector to MO such that
.NR ⊥ Bisector.
To Find:
Height of the triangle = NR = ?
Solution :
Now we have a right angled triangle NRM at ∠R =90°,
So by applying Pythagoras theorem we get
Substituting the values we get
Therefore the height of the triangle is