The simple interest on a sum of money invested for 6 months at 5% per annum is $1680. Find the amount of money invested
1 answer:
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Answer:
Step-by-step explanation:
The formula for calculate the Area of a rectangle is:
Where "l" is the lenght and "w" is the width.
And the formula for calculate the peimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:
<u>The steps are:</u>
1. Solve for the "l" from the formula :
2. Substitute into the formula
and solve for "w":
Applying the Quadratic formula , we get:
3. Substitute into
:
4. Substitute into
:
Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:
He will need 12 sq. inches of Paper for each rhombus.
Given: 6 inches tall and 4 inches wide.
so, Length of the diagonals are 6 and 4 inches respectively.
Refer to figure.
The two diagonals cuts the rhombus into four equal parts, so
Area of one rhombus = 4 x (area of 1 part of the rhombus)
Now,
Area of 1 part of the rhombus = x 3 x 2
= 3 sq. inches
Area of one rhombus = 4 x 3 = 12 sq. inches
Hence, 12 sq. inches of Paper is needed for each rhombus.
Learn more about the "Finding the area of the rhombus" Here : brainly.com/question/10684261
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Answer:
Step-by-step explanation:
∩
is asking for the intersection of sets
and
, or simply, which numbers can be found in both sets.
The numbers shared between the two sets are .
Next, we need to union this result with the set , or simply, combine the numbers in both sets together.
This would result in
Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b =
b= 4√3 or about 6.928 units
hope this helped