X+3y=-13
x=-3y-13
5(-3y-13) +7y = -9
-15y -65 +7y = -9
-8y-65=-9
65 -
-----
-74
/-8
------
y= 9.25
x+3(9.25) = -13
x+27.75= -13
27.75-
-------
x= -40.75
A coterminal angle of θ such that 0 ≤ θ ≤ 2π is equal to 7π/4 and the exact value of Sin(θ) = -1/√2.
<h3>What is a coterminal angle?</h3>
A coterminal angle can be defined as an angle that share the terminal side of an angle which occupies the standard position i.e it has the same initial side.
In this scenario, all angles that are multiples of 2π and added to the given angle (-9π/4) would be coterminal. For the range [0, 2π], 8π should be added to the given angle as follows:
Coterminal angle = -9π/4 + 4π
Coterminal angle = -9π/4 + 16π/4
Coterminal angle = 7π/4.
<h3>Part B.</h3>
The reference angle is given by:
7π/4 -π = 3π/4.
Therefore, the exact values of all six (6) trigonometric functions evaluated at θ are:
Read more on coterminal angles here: brainly.com/question/23093580
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Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Step-by-step explanation:
Given
Diameter of Cone = d = 6 cm
Radius will be:
r = d/2 = 6/2 = 3 cm
Height of cone = h = 3d = 18 cm
The volume of cone is given by:
Putting the values
Hence,
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Keywords: Volume, cone
Learn more about volume at:
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Answer:
when multiplying by 10 just move up by one zero
If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
x*18+4x*9=$1080
(18+36)x=$1080
54x=$1080
x=20
The number of casual shirts have been sold is 4*20=80
