Answer: Hello, There! your Answer is Below.
117 Inches
Step-by-step explanation:
An inch is a unit of length equal to exactly 2.54 centimeters. There are 12 inches in a foot, and 36 inches in a yard
A foot is a unit of length equal to exactly 12 inches or 0.3048 meters.
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The multiplier each year is 1.02, so the multiplier for 7 years is 1.02^7.
220,000*1.02^7 ≈ 252,700
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4 significant figures is usually good enough for most real-world problems. (Unless you're counting pennies on your billion-dollar investment.)
Answer:
The number of unique rhombuses that can be constructed is one.
Step-by-step explanation:
A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.
The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.
If you have the length of one side (8 cm in this case), you have the length of all sides.
In conclusion, with one side and one angle a rhombus is completely defined and it's unique.
Answer:
<em>The coordinates of L are (4,5)</em>
Step-by-step explanation:
<u>Partition</u>
Given the points M(-2,-3) R(7,9), we must find a point L(x,y) such that the distance from M to L is double the distance from L to R. This means:

We'll apply that relation on both axes separately:


Operating:

Joining like terms:

Solving:

Now for the y-axis:


Operating

Joining like terms:

Solving

Thus the coordinates of L are (4,5)
Answer:
7 -1 6 | -8
7 -5 7 | 1
0 1 -4 | -5
Step-by-step explanation:
Note that there are four columns in this system, representing the variables x, y and z and constants. So the given matrix pattern is appropriate: It has three columns for the coefficients of x, y and z and one column for the constants.
We need only identify the coefficients and transfer them into the appropriate boxes of the matrix pattern.
We get:
7 -1 6 -8
7 -5 7 1
0 1 -4 -5