Answer:
The student answer is wrong. The correct length of the hypotenuse is 12
Step-by-step explanation:
The question is incomplete without diagram. Find the diagram attached below.
The longest side of the right angled triangle is the hypotenuse.
The side facing the angle 30° is the opposite side of the triangle.
To find the hypotenuse, we will use the SOH CAH TOA method in trigonometry identity.
According to SOH:
Sin30° = Opposite/Hypoenuse
Sin30° = 6/Hypotenuse
Hypotenuse = 6/sin30°
Hypotenuse = 6/0.5
Hypotenuse = 6×2
Hypotenuse = 12
The student answer is wrong. The correct length of the hypotenuse is 12
Answer:
About 39.28%
Step-by-step explanation:
56-34=$22
22/56=39.28%
Hope this helps!
Answer:
Width=12 inches
Length=15 inches
Step-by-step explanation:
Let's say the width is x.
Then, the length is x+3.
The area of a rectangle is the length times width, so
x(x+3)=180
x^2+3x=180
x^2+3x-180=0
After using the quadratic formula, x comes out to be 12 or -15.
x cannot be -15 because you can't have negative distance, so we are left with x=12.
The width is 12 inches and the length is 12+3=15 inches.
Check: 12*15=180