Answer:
tan 5π/24.
Step-by-step explanation:
We use the identity:
tan (A - B) = (tan A - tan B) / (1 + tan A tan B)
so the first expression simplifies to
tan ( π/3 - π/8)
= tan 5π/24.
Answer: -72a^3 +108a^2
Collect like terms
(2a)(6a)(2a-8a+9)= (2a)(6a)(-6a+9)=12a^2(-6a+9)
= -72a^3 +108a^2
Answer:
The area of the figure is 7.5 m².
Step-by-step explanation:
Given the lengths of diagonals
The area of the given figure can be computed by multiply the lengths of the diagonals and then divide by 2.
so
Area = (2.5 × 6 ) ÷ 2
= 15 ÷ 2
= 7.5 m²
Therefore, the area of the figure is 7.5 m².
W= width
l= length= 4w
Area= lw
16 square yards= lw
substitute l=4w for l
16= (4w)(w)
16= 4w^2
divide both sides by 4
4= w^2
take the square root of 4
2 yards= w
LENGTH
l=4w
l=4(2)
l=8 yards
CHECK:
16= (8)(2)
16= 16
ANSWER: The length is 8 yards and the width is 2 yards.
Hope this helps! :)
Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
