Answer:
Exact Form:
1/4
Decimal Form:
0.25
Step-by-step explanation:
Answer:
$2,221.6 monthly
Step-by-step explanation:
A = P(1 + r)^n
A is the total amount I intend to save = $15,000
r is the yearly interest rate = 3.6% = 0.036
n is the duration to achieve my goal = 4 and 1/2 years = 54 months
15,000 = P(1 + 0.036)^54
15,000 = P(1.036)^54
P = 15,000/6.752 = 2,221.6
I need to put $2,221.6 into the savings account monthly
cosθ = cotθ/cscθ is a true statement. The answer is option B
<h3>How to determine which of the trigonometric statements are true?</h3>
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles
A. tan²θ = 1 - sec²θ
tan²θ = 1 - sec²θ
tan²θ = 1 - 1/cos²θ (Note: sec²θ = 1/cos²θ)
tan²θ = (cos²θ- 1)/cos²θ
tan²θ = -sin²θ/cos²θ (Note: cos²θ- 1 = -sin²θ)
tan²θ = -tan²θ
This statement is not true
B. cosθ = cotθ/cscθ
cosθ = cotθ/cscθ
cosθ = (1/tanθ) / (1/sinθ)
cosθ = (cosθ/sinθ).sinθ
cosθ = cosθ
This statement is true
C. 1/sec²θ = sin²θ + 1
1/sec²θ = 1/(1/cos²θ)
1/sec²θ = cos²θ
1/sec²θ = 1 - sin²θ
This statement is not true
D. sec²θ - 1 = 1/cot²θ
sec²θ - 1 = 1/cos²θ - 1
sec²θ - 1 = (1-cos²θ)/cos²θ
sec²θ - 1 = sin²θ/cos²θ
sec²θ - 1 = tan²θ
This statement is not true
E. sinθ cscθ = tan θ
sinθ cscθ = tan θ
sinθ cscθ = sinθ (1/sinθ)
sinθ cscθ = 1
This statement is not true
Therefore, the true statement is cosθ = cotθ/cscθ
Learn more about Trigonometry on:
brainly.com/question/29529966
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Answer:
1728
Step-by-step explanation: L(length) H(height) W(width)
volume = l x w x h
perimeter= L + W + L + W
perimeter = 12 + 12 + 12 + 12
volume = 12 x 12 x 12 because it' s a cube, and all sides are equal
= 1728
(i don't know if it's right though...)
