Answer:
Step-by-step explanation:
hypotenuse=√(x²+(x√3)²)=√(x²+3x²)=√(4x²)=2x
sides are x,x√3,2x
smallest side=x
smallest angle=opposite smallest side
let smallest angle=α
cos α=(x√3)/2x=√3/2
Answer:
<h2>(a) 5,050 psi.</h2><h2>(b) 5,051.3 psi.</h2><h2>(c) 5,180 psi.</h2><h2>(d) 4,920 psi.</h2>
Step-by-step explanation:
The given function is

Where
represents the accelerated strength in psi, and
represents 28-day standard-cured strength in psi.
Part a is about finding the y-value for 

Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.
Part b is about the y-value for 

Part c is about the y-value for 

Part d is about the y-value for 

Answer:
height = 2.5 ft , base = 8 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
height = h then base = 2h + 3 and A = 10 , then
h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )
h(h + 3) = 20 , that is
h² + 3h = 20 ( subtract 20 from both sides )
h² + 3h - 20 = 0 ← in standard form
(h + 4)(2h - 5) = 0 ← in factored form
equate each factor to zero and solve for h
h + 4 = 0 ⇒ h = - 4
2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5
but h > 0 , then h = 2.5
and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8
that is height = 2.5 ft and base = 8 ft
Colors of light are each bent a different amount because each color has particular wavelength