. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre
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Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest
Plugging values in formula, we get
Taking square root on both sides, we get
r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.
The amount of fabric in inches Felicia need to make the actual shape for the comforter is 660 in²
<h3>What is a trapezoid?</h3>It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
We have a trapezoid in the picture shown with dimensions.
We know the area of the trapezoid is given by:
Here a = 15 cm, b = 22 cm and h = 11 cm
A = 203.5 square cm
To make the square from the trapezoid, Felicia needs to cut two triangles from the both end, as shown in the figure.
The height of the triangle = 11 cm
And base length = (22-15)/2 = 3.5 cm
The area of the triangle = (11×3.5)/2 = 19.25 square cm
Area of the two triangles = 2×19.25 = 38.5 square cm
Now the amount of fabric = 203.5 - 38.5 = 165 square cm
As the scale is given 1 cm = 2 in
1 cm ² = 4 in²
So, the amount of fabric in inches = 165×4 = 660 in²
Thus, the amount of fabric in inches Felicia need to make the actual shape for the comforter is 660 in²
Learn more about the trapezoid here:
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