Answer:
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Step-by-step explanation:
Given:
Hypotenuse BD = 12 unit
Angle θ = 30°
Find:
Perimeter of rectangle ABCD
Computation:
Using trigonometry function
Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
Cos θ = Base / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Perimeter of rectangle ABCD = 2[Length + Width]
Perimeter of rectangle ABCD = 2[6 + 10.4]
Perimeter of rectangle ABCD = 2[16.4]
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Answer:
I believe the answer is b
Step-by-step explanation: I think the answer is b because he gets $5 every week and he already has $25 the only thing we dont know is the weeks and you multiply 5 by the weeks so, 5(how much he gets each week) times x (The amount of weeks) plus 25(the amount he already has) equals y(the amount of everything put together)
If you multiply 1.2803 times 2,500
You should get the answer you are looking for; which is 3200.75
x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.
<h3>What is a
cubic equation?</h3>
A cubic equation is a polynomial of degree 3.
Given the volume (V) is given by:
V(x) = x³- 10x²+ 11x + 70; where x is the length of the hot tub
a) x cannot be -5 because we cannot have a negative length, also:
V(-5) = (-5)³- 10(-5)²+ 11(-5) + 70 = -360; Also the volume cannot be negative.
b) x + 2 is a factor, hence:
x + 2 = 0
x = -2
v(-2) = (-2)³- 10(-2)²+ 11(-2) + 70 = 0
x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.
Find out more on cubic equation at: brainly.com/question/20896994
Answer:
Step-by-step explanation:
you have a right triangle with 2 known values for legs
C^2=a^2+b^2
a=3, b=6
C^2=3^2+6^2=9+36=46
c==3
first choice