V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4
Answers
The secant of the angle A is 13/4
How to determine the value of sec(A)?The given parameter is:
[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]
Using the trigonometry identity, we have:
[tex]\sec^2(A) = \tan^2(A) + 1[/tex]
This gives
[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]
Evaluate the exponent
[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]
Evaluate the sum
[tex]\sec^2(A) = \frac{169}{16}[/tex]
Take the square root of both sides
[tex]\sec(A) = \pm \frac{13}{4}[/tex]
Secant in quadrant IV is positive.
So, we have:
[tex]\sec(A) = \frac{13}{4}[/tex]
Hence, the secant of angle A is 13/4
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
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Answer:
Step-by-step explanation:
A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.
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9514 1404 393
Answer:
7.7 seconds
Step-by-step explanation:
The solution is given by the quadratic formula.
For ax² +bx +c = 0, the roots are ...
x = (-b±√(b²-4ac))/(2a)
We want the positive root, so ...
x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658
The rocket will hit the ground about 7.7 seconds after it is launched.
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Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
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Step-by-step explanation:
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2pi r = 16
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Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax
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Answer:
[tex]105(.15)+x=170[/tex]
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if x =31 and z=27 then what is the value of y?
Answers
Answer: y = 89
Step-by-step explanation:
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What is the distance between (−5,−6) and (−3,−8)?
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(Choice B)
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(Choice C)
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(Choice D)
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Solve the system of equations by graphing
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Answer:
Here's a graph to help you solve this answer:
In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?
Answers
Answer:
60°
Step-by-step explanation:
angle A +angle B +angle C = 180
30° +B+90°= 180
120°+B=180°
B=180°-120°
B=60°
Help! Jeez these are hard.
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Answer:
option 2
Step-by-step explanation:
a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right
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Answer:
Wassup what do you need help with
you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly
Answers
Answer:
The balance after 4 years would be $1,380.05.
Step-by-step explanation:
Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:
1,200 x (1 + 0.035 / 12) ^ 4x12 = X
1,200 x 1.00291666 ^ 48 = X
1,380.05 = X
Therefore, the balance after 4 years would be $1,380.05.
Answer:
The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Volume of a cone = pi(r^2)(h/3)
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Triangle PQR with vertices P(-2, 3), Q(2, 4),
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9514 1404 393
Answer:
P'(-4, 3)Q'(-8, 4)R'(-7, -1)Step-by-step explanation:
Reflection over the line x=a is accomplished by the transformation ...
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Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
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Answers
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Step-by-step explanation:
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What is arithmetic progression?
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According to the given problem,
Number of seats in row 1 = 36
Number of seats in row 2 = 39
Number of seats in 3rd row = 42
Difference between the numbers ( d ) = 39 -36
= 3
We know, according to the formula of Arithmetic Progression,
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We need to find for the 18th row,
[tex]a_{1}[/tex] = 36
d = 3
n = 18
⇒ [tex]a_{18}[/tex] = 36 + ( 18 - 1 )×3
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Learn more about arithmetic progression here: https://brainly.com/question/13989292
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Step-by-step explanation:
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