Which of the following statements is INCORRECT?A. A triangle with three congruent sides is equiangular.
B. The Isosceles Triangle Theorem can be applied to equilateral triangles.
C. The measure of each angle of an equilateral triangle is 120°.
D. A triangle with three congruent angles is equilateral.
Answers
Answer:
C
Step-by-step explanation:
The measure of each angle in an equilateral triangle is , not
.
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amplitude: a = 40 inches / 2 = 20
f(x)=20cos(bx)+c
the value of c is 32... since the centre of the has been moved up 32 units
the minimum amplitude = 32 - 20 = 12
the maximum amplitude = 32 + 20 = 52
f(x)=20cos(bx)+32
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm) then it will take 12 1/2 hours to complete a full cycle.
adjust the period by converting 12 1/2 hours to an angle measure.
360°/12 = 30°
30° / 12 = 15°
12 1/2 = 360° + 15° = 375°
f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4
The cosine function that models the variation is f(x) = 51.4
Calculations and Parameters:
To find the inches, we would subtract the value of 12 from 52 which would give us 40 inches.
The amplitude is 40/2
= 20
Hence,
f(x)=20cos(bx)+c
- c= 32
- the minimum amplitude = 12
- the maximum amplitude = 52
f(x)=20cos(bx)+32
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm) then it will take 12 1/2 hours to complete a full cycle.
We make adjustments and convert
- 360°/12 = 30°
- 30° / 12 = 15°
- 12 1/2 = 360° + 15° = 375°
f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4
Read more about cosine functions here:
#SPJ5
Answers
Answer:
its divided into sixths
An undefined term cannot be used in a theorem.
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The answer for it should be: true
Good luck! XD
2 - 2i
Answers
Answer:
a+ib=2sqrt2(cos7pi/4+isin7pi/4)
Step-by-step explanation:
a+ib=r (cos theta+isin theta)
r=sqrt a^2+b^2
r=sqrt (2)^2 +(-2)^2
r=2sqrt 2
theta=tan^-1(y/x) or (a/b)
theta= tan^-1(-2/2)
theta=-45 degrees
Now, I know that theta is in the fourth quadrant because cos (x-value) is positive. So, I am going to subtract my value from 360 degrees.
360-45= 315
theta=315
I can convert degrees to radians (if need be): 315 times pi/180= 7pi/4
Theta=7pi/4 r=2sqrt2
Substitute: a+ib=2sqrt2(cos7pi/4+isin7pi/4) this is radian format
or... a+ib=2sqrt2(cos 315+isin315) this is degree format
z = r ( cos t + i sin t )
r = | z | = √ ( 2² + (-2)² ) = √(4+4) = √8 = 2√2
t ( theta ) = tan^(-1) (-2 / 2 )= tan^(-1) (- 1 ) = - π / 4
z = 2√2 · ( cos (-π/4) + i sin (-π/4) ) =
= 2√2 · ( cos π/4 - i sin π/4 )