For numbers 8-10, please refer to this problem. You are watching a hot-air balloon that was 300 feet from you when it started rising from the ground. Assume the height of the balloon is x and 0 is the angle of elevation from the ground where you are standing up to the balloon. 8. Solve for x in terms of 0. 9. What is the angle of elevation when the hot-air-balloon is 500 feet above the ground? 10. How high above the ground is the balloon when the angle of elevation is 80°?

Q: Use Double-Angle or Half-Angle Identities to simplify the given expressions:(a) If cos2(26∘)−sin2(26...

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Q: 1. y =f (x) = 3x + 2 2. x² + y? = 1 3. y = 4x -1 4. x= y

A: We have to draw the graph of the given function.

Q: How to find the minimum value of y for the  equation:  5.79702sin(0.009055x) +8.499779

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Q: Find tan(u/2) if cosu=−0.792 and u is in Quadrant-III.tan(u/2)=

A: Given cos u = -0.792 Since u is in Quadrant 3 We have u = 180+x, where x is any degree.  

Q: What is the measure of ZA in AABC if ZC is a right angle, BC = 7 cm and AC = 9 cm. If needed, round ...

A: We have to measure the angle ∠A in ∆ABC if ∠C is a right angle, BC = 7 cm and AC = 9 cm.            ...

Q: Find an equation for the hyperbola with center (0,0) vertices (+4,0) passing through (8,2)

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Q: If a central angle with its vertex at the center of the earth has a measure of 1', then the arc on t...

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Q: Determine if the binomial is a factor of the polynomial. (x+ + 12x3 - 91x2 + 26x + 20) + (x- 5)

A: (x4 +12x3 -91x2 +26x +20)÷ (x-5)

Q: What is side AB to the nearest hundred?

A: Here a right angled triangle ABC is given with one known angle B=20⁰. We have to find the length of ...

Q: Find the exact values of the six trigonometric functions of the angle. .009 = ,009 u D (Simplify you...

A: Find values of sin and cos  And then use these two values to find other values

Q: The blades on a fan rotate at 900 revolutions per minute and have a diameter of 16 inches. Find the ...

A: Here is the solution

Q: what is the value of angle B?

A: Given: Formula used: Sine rule: asin A=bsinB=csin C    

Q: Classify the triangle as acute, right, or obtuse. Also classify it as equilateral, isosceles, or sca...

A:  Given triangle with three different sides   

Q: Q2) Put the equation (3x2 + (y – 2)2 = 3) in standard form and sketch the ellipse

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Q: help

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Q: Find cos(u/2) if cosu=0.153 and u is in Quadrant-IV. round to the 4th decimal place cos(u/2)=

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Q: Trigonometry Question

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Q: 12 Find the exact value of cos 0, given that sin 0 = and 0 is in quadrant IV. Rationalize denominato...

A: Given: sin θ=-1213 and θ is in quadrent IV

Q: Find the value of x in each triangle

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Q: For the function f(x) = csc x, which of the following are not possible values of f(x)? Select all th...

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Q: Homework: Graph the following functions and show domains and ranges of them. 1+cos 2x 1. y= sin 2x 2...

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Q: 9) The minute hand of a clock is 2.7 centimeters long. To two significant digits, how far does the t...

A: Given : length of minute hand = 2.7 cm  It moves through 15 minutes . To calculate the distance cove...

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Q: There are some changes in the school. A sign is being made for the school district oncoming traffic ...

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Q: help

A: 2a) By using the cosine formulaAC2=AB2+BC2-2AB×BC×cosc    32 + 82 − 2 × 3 × 8 × cos π3AC2= 9 + 64 − ...

Q: From the top of a 575-ft high bluff, a rescue scout looks down upon a hot air balloon accident. The ...

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Q: Given that tan (θ) = - 8 / 15 and θ is in quadrant IV, find sec (θ) and csc (θ).

A: Consider the given trigonometric ratio. tanθ=-815 θ is given to be in Quadrant IV. The objective of ...

Q: 39° 7.

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Q: 5) -6 = -sec 0 – sec² 0 – 4 %3D TT 5T A) { 3 2n 4T B) (0, 프, 3' 3 3.

A: The given equation is -6=-secθ-sec2θ-4. Simplify the given equation as follows. -secθ-sec2θ-4=-6sec2...

Q: Find the value of each trigonometric ratio. Write your answer as a decimal rounded to the nearest th...

A: a)tan C= ABBC           =2432            = 34            = 0.75

Q: You are given that cos(A) = -, with A in Quadrant III, and cos(B) = -, with B in Quadrant II. Find s...

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Q: Find all solutions of the equation sec4x−2=0.The answers are of the form A+k/2 π and B+k/2 π where k...

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Q: Solve the right triangle. 51.851 cm 43.0897° B a. A = (Round to four decimal places as needed.) a = ...

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Q: Simon starts a retirement account where he will place $50 into the account on the first month and in...

A: Given-  Ist month deposit= $50  2nd month deposit= $55 ... .... and so on.

Q: Trigonometry Question

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Q: What would side BC be to the nearest hundredth?

A: Given:  AB=6. Angle B= 35°.

Q: sin x cos x 15) Simplify: csc x sec x A) 0 C) tan(x) В) 2 D) 1

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Q: help

A: It is given that communication tower T has a range of radius 32km. Two points S and R such that: ST=...

Q: Need neat solution asap.

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Q: Need correct & neat solution. I will give you like.

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Q: Convert the following to degrees and minutes 92.55 degrees

A: Given- 92.55 degrees as we know that 1°=60 minutes (60')1 minutes=60 seconds (60")To covert above 92...

Q: If y =t'+6 , x = 21 +4 dy d'y dx dx Find

A: The detailed solution is as follows below:

Q: Trigonometry Question

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Q: Find the value of x in each triangle

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Q: Trigonometry Question

A: Find the positive and negative terminals

Q: Find the value of the indicated missing angle. If needed, round to the nearest thousandth. 14 48 50

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Q: Solve the right triangle ABC, with C= 90°. A= 32.5°, b= 40.4 cm B = (Simplify your answer. Type an i...

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Q: 2. Write an equation that can be used to find mzM. Then, solve it. Round to the nearest degree. (1 p...

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Q: The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep ...

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Q: Find the value of the indicated missing angle. If needed, round to the nearest thousandth. 27 11

A: Answer =24.042°

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.