A parabola can be drawn given a focus of (-4,-6) and a directrix of y = 0. Write the equation of the parabola in a any form.

Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.

Q: Find AB 29.2 m 23.3 m ***** 125.4 A) 46.7 m C) 49.7 m B) 39.3 m D) 51.8 m

A: Triangle

Q: Application of Circular Functions to Angles Find the area of the circular segment in example 6 of…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 9) csc-¹ (cos 0)

A: We have to solve the given trigonometric form

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: For the triangle described below, solve for B. Apply the rules regarding the use of significant…

A: Given:-For the triangle ∆ABCA = 120°, b = 10ft, a = 20ft

Q: The Law of Cosines must be used when only the measures of two sides and the included angle are known

A: Law of cosines

Q: Solve the equation in the interval [0, 27). (a) cos 0 – sin 0 = /2 sin - 3π π Answer:{ 2 '6 }…

A: Topic = Trigonometry

Q: Find the solution(s) for theta. 0= 1+ cos 0

A: Given query is to find value for angle

Q: Lucky sees a bird sitting on the top of an avocado tree that is 17.56 meters tall. If he is standing…

A:

Q: rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24…

A: Given query is to find the fencing required.

Q: 9. The expression 2(sin30 9 - tan45 is equal to а. -1 с. 1 b. 0 d. 2 10. What is cos-0.32)? a:…

A: 9. let y = 2sin(30)-tan(45) we know that  tan(45) = 1 sin(30) = 0.5

Q: Solve the equation 2 cos²x + cos2x = x = [0, 2π). 0 where

A:

Q: Use a graphing utility to approximate the solutions (to three decimal places) of the given equation…

A:

Q: A в с с D В 0.15 5.99 7.69 59.16 a A b = 4.16 f 133.75° d с = 4.31 D

A: We will find the diagonal of the given parallelogram in the following step.

Q: Calculate x. [23] A P 2x - 4 32 C

A:

Q: 3. What is the total surface area of a pentagonal prism with side of the base equal to 5 units and…

A: 3)   Given:        Side of the base of pentagonal prism a=5 units        Height of the pentagonal…

Q: 5. Calculate the area of a regular hexagon inscribed in a circle of radius 1 unit. a. 1.316 units b.…

A: Area of equilateral triangle = 34 a2 ; where , 'a' is the sides . Note : As per our Guidelines , we…

Q: Find the exact value of the function: arcsin(1) O HR

A:

Q: Find the angle of elevation, angle of depression and line of sight.

A:

Q: The x-coordinate of a point P on the unit circle is 0. If point P is the result of rotating the…

A: If the x-coordinate of a point is 0, then the point is present on Y-axis.

Q: Use mathematical induction to prove the following: 1 + 3 + 5 + .. + (2n - 1) = r² for n> 1 Note: If…

A:

Q: Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3)…

A:

Q: Complete the following chart: (11K) Base Function Function y=-3sin[3(x+45°)] -5 y=7cos(2x+30°) -4…

A:

Q: π 30. Using a graphing calculator to sketch y=-1.4sin 2r- the best viewing window for one period is…

A: Concept: Since Function Amplitude and Period: The amount by which the graph of y=asin(bx) changes…

Q: 2. Use the special angle triangles and the Cartesian plane to determine the six trigonometric ratios…

A:

Q: Write the first trigonometric function in terms of the second for ? in the given quadrant. cot ?,…

A: As we know that in the second quadrant  Sin? is positive where as Cos? is negative

Q: A search light with a range of 350 meters can turn through an angle of 120°. Find the area it can…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 6. A right triangle has an area of 33 square inches. The square of the hypotenuse is 157. Find the…

A:

Q: seen in the accompanying diagram, a person can travel from New York City to Buffalo by going north…

A: Here we have to find the angel using diagram.

Q: Use appropriate double angle formulas to rewrite sin^(4)\theta in terms of the first power of the…

A:

Q: 41" 36 10 2. 20 125 5 3. 25 95 5.5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: β α 1

A:

Q: 5- prove that T_k[r sin Ꮎ dᎾ TC 0 cose Ꮎ dᎾ

A: To prove that, ∫0π2 sinp θ dθ=∫0π2 cosp θ dθ

Q: Find the 3rd term in the expansion of (a + b)6 in simplest form.

A: Given (a+b)6 We need to expand and find the third termgeneral expansion of (a+b)n (a+b)n=∑k=0n nk…

Q: A vertical pole 40 feet tall stands on a hillside that makes an angle of 17° with the horizontal.…

A:

Q: 9. A cubical container that measures 2 inches on a side is tightly packed with 8 marbles and is…

A: We need to find volume. As per Bartleby's guidelines we can solve only one question from multiple…

Q: 5- prove that

A:

Q: Find the value of csc A. A 5 3 OA. B. OC. D. 4 315 415 514 513 B

A: We know that cosecant is the ratio of the hypotenuse to the side opposite a given angle in a right…

Q: 12. Two buildings are separated by a driveway that is 95 m wide. Between the two buildings, the…

A: Distance between building=95m Angle of depression are 34 degree  and 58 degree  Find height of…

Q: Two ocean liners leave from the same port in Puerto Rico at 10:00 a.m. One travels at a bearing of…

A:

Q: Draw your own triangles given the indicated m Law of Sines. Round off all decimals to the near 1. LA…

A: Law of sine is given by:  a/sinA = b/sinB = c/sinC Please note:  we are allowed to solve only one…

Q: B₁ 13 90° A 12 In right triangle ABC, C= 90°, a = 13, b= 12, and c=5. Use angle B as your basis of…

A:

Q: Answer the ff: Find the values of x in 4 cos2 x = 1

A:

Q: What is the value of sin 30°?

A:

Q: Show that tanθ + cotθ = 2 Cosec2θ

A: Given query is to prove the Indicated identity.

Q: 15-16. sin30°tan45° + tan30°sin60°

A:

Q: Given m // n, calculate x + y in degrees k j 120° (3y+6)* 3 n

A: Let's find angle x+ y = ?

Q: Which ordered pair is on the unit circle at 150 degrees? 2 °(-*. *)

A: Radius of unit circle is 1

Q: Determine the coordinates of image point after a rotation of 25 degrees about (0,0) from point (4,0)

A: Use rotation matrix