A triangular pennant has two sides that are 90 cm long each with an included angle of 25°.
2 answers:
We are given with the following value:
AB = BC =90 cm
∠B =25°
∠D=90°
Solving the ∠C:
180 ° = (∠B/2) + ∠D +∠C
180° = (25°/2) + 90° + ∠C
180° - 12.5° -90° = ∠C
∠C = 77.5°
Solving for length in mD:
sin 77.5° = mD/90
mD = 90 sin77.5°
mD = 87.87
Solving for mDC:
cos 77.5 = mDC/90
mDC = 90 cos 77.5°
mDC = 19.48
Area = 1/2 * Base * Height
Area = 1/2 * 19.48*87.87
Area = 855.834
The total area of triangular pennant = 2 x 855.834 = 1,711.67 cm².
The area is 1,711.67 cm².
AB = BC =90 cm
∠B =25°
∠D=90°
Solving the ∠C:
180 ° = (∠B/2) + ∠D +∠C
180° = (25°/2) + 90° + ∠C
180° - 12.5° -90° = ∠C
∠C = 77.5°
Solving for length in mD:
sin 77.5° = mD/90
mD = 90 sin77.5°
mD = 87.87
Solving for mDC:
cos 77.5 = mDC/90
mDC = 90 cos 77.5°
mDC = 19.48
Area = 1/2 * Base * Height
Area = 1/2 * 19.48*87.87
Area = 855.834
The total area of triangular pennant = 2 x 855.834 = 1,711.67 cm².
The area is 1,711.67 cm².
You might be interested in
In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:
d = mt + b
d is the distance covered
t is the time taken
m is the speed
If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)
Get the slope of the line:
m = (9-30)/(2-5)
m = -21/-3
m = 7
Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b
9 = 7(2) + b
9 = 14 + b
b = -5
The required equation to plot will be expressed as y = 7t - 5
Plot the required graph
Learn more here: brainly.com/question/17003809
To find Least Common Multiple by using Division Method we need to follow the following steps.
Step 1: Write the given numbers in a horizontal line, separating them by commas.
Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.
<h3>HOPE IT HELPS YOU...</h3>