Science! Dr. Robinson has discovered a new element: Geometrium. In its liquid form, Geometrium has a density of 5.3432  grams per cubic centimeter. It is held inside a glass square pyramid whose base has a side length of 7 cm and height of 15 cm.   What is the surface area of the pyramid?

Q: A square is inscribed in a circle with its vertices as points on the circle. The area of the square…

A: area of square =25 square feet

Q: Find the integral.

A: integral

Q: 16. Find the value of sin 8, cos 0, and tan 0 for the angle 0 in standard position having (-5, -12)…

A: given point is (x,y)=(-5,-12)

Q: 3. Your grandparents deposited $10,000 into an account when you born. This account has earned an…

A: ⇒fx=aerx⇒fx=Amount at time x⇒a=Initial amount⇒r=rate of interest⇒x=time in years

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A:

Q: Given u = -i + 9j and V = 7i+j, find the dot product u. V.

A: Given: u→=-i+9jv→=7i+j We are required to find: u→.v→

Q: One of the solutions of the following equation on the interval [0, 2π] is π/3. tan(2x) + tan(x) / 1…

A:

Q: Find the value of a so that vectors U = ai + 12j and V = 3i + 9j are perpendicular. a =

A: u=ai+12j and v=3i+9jAs both the vectors are perpendicular.

Q: Which of the following represents vector t=PQ in trigonometric form, where P (-5, 11) and Q (-16,4)?

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Parameterize the line from (-1, 5) to (2, 3) so that the line is at (-1, 5) at t = 0, and at (2, 3)…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: 1. Consider the following situations related to polar equations Answer: a. a. Convert the following…

A: Given:      Equation x+32+y-12=10 we know that a+b2=a2+b2-2ab    x+32=x2+6x+9    y-12=y2-2y+1 Now…

Q: Given u = (-5,2) and 7 = (-9, 12), find the vector 4u + v. Select the correct answer below: O (-23,…

A:

Q: Find the missing angles. Y Y 72⁰ CC x= 36 ✔ = 36°

A:

Q: 1) 53n-2= 125

A:

Q: . Given u = 5i – 2j and ✓ = −7i – 10j, find the dot product u · V. -

A: The vectors u and v are given as  u→=5i-2jv→=-7i-10j

Q: A C LA= LB= ft O O B

A: If a triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: Find the unit vector in the same direction as v = (5,-6). Select the correct answer below: 5 0 61 ㅇ…

A: We are required to find: Unit vector in the direction of v→=5,-6

Q: Solve the triangle. a=4, b= 12, c = 11 A = (Do not round until the final answer. Then round to the…

A:

Q: Solve the equation on the interval [0, 2). 2 sin ²0-3 sin 0+1=0 C... What is the solution in the…

A: given  2sin2θ-3sinθ+1=0, on [0,2π)

Q: 12. What is the value of side b in the triangle shown? Round to 2 decimals b A a 15 40°

A:

Q: 1. Haraya owns two triangular plots of land, ABC and ACD. The length of AB is 30m, BC is 50m and AC…

A: We have to find the length of the side AD

Q: The vector ABhas initial point A(6, -6) and terminal point B(6,-12). Find the magnitude and…

A:

Q: Find the two square roots of 9 cis 150° and graph them. Clearly mark the scale on your graph. 1051…

A:

Q: In this question and the one that follows, you will solve a quadratic by completing the square. Find…

A: The quadratic equation is given by x2+6x-27 = 0 To determine: The equation that results from…

Q: Suppose that lul = 10 and 11 = 7, and that u = -55. Fi

A:

Q: 2 Sinx cos²x

A:

Q: Find the quantity if v = 4i-8j and w = 3v + 4w - 3i+2j. 3v + 4w= (Simplify your answer. Type your…

A:

Q: You can use the sum formula for cosir 7π to find the exact value cos( ) by 12 7π 3π 4πT -? + 12 12…

A:

Q: What are the polar coordinates of the point Q shown below? 1 2

A: The given graph of polar coordinate is:

Q: . Find cos(2x) sin² (2) given that cos(x) = $_= with x terminating in quadrant 4 and that 3 2…

A:

Q: 21. Find 8 millor grant abir 13 3 ہیا

A:

Q: Use the value of the trigonometric function to evaluate each function. sin(-t) = 3 (a) sin(t) (b)…

A:

Q: The vector PQ has initial point P(3,6) and position vector (4, 4). What are the coordinates of…

A:

Q: What is the value of h in the triangle shown? Round to 2 decimals

A: Given triangle is a right angle triangle hence pythagoras theorem is applicable  According to…

Q: Convert the quadratic expression below to vertex form (x - h)² + k by completing the square. Then…

A: given function is x2-12x+29let f(x)=x2-12x+29

Q: Solve the equation for exact solutions over the interval [0, 2). – 2 sin’x = − 3 sin x+1

A: Given: -2sin2x=-3sinx+1 We are required to: Find the exact solutions of the equation over the…

Q: 4) 4* = 256

A: Find the value of x

Q: Determine the focus, directrix, axis, and direction of the parabola. Then use this information to…

A: Given : Parabola : y2 = 20x The standard equation of the parabola is : y2 = 4ax directrix at x = – a…

Q: 3) vertex at (-10, 0) and directrix y = 7.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (sin 0 + cos)² + (sin 0 − cos 0)² = 2 -

A: (sinθ+cosθ)2+(sinθ-cos θ)2=2

Q: D Question 22 Use derivatives and derivative analysis to find the open interval(s) where the…

A:

Q: A ship headed due east is moving through the water at a constant speed of 12 mph. However, the true…

A:

Q: Use a half angle identity to find the exact value of the following expression. if cos x = -4/5 and…

A: Half angle identity cosx = 1 - 2sin2x22sin2x2 = 1 - cosxsin2x2 = 1 - cosx2sinx2 = ( 1 - cosx2 )

Q: Question 17 Find the derivative. y = x-1 모 lay do abo ww du HE 2x33x2 (x - 1)2 -23 - 3x2 (x - 1)2 -…

A: Here, we discuss the rules   y=f(x)g(x) => dydx=g(x)f'(x)-f(x)g'(x)(g(x))2

Q: Convert each pair of rectangular coordinates to polar coordinates. 9. (-3,0) 8. (√3,-1)

A: 8) The given rectangular coordinates are 3,-1.

Q: the equation on the interval [0, 2π). 2 sin ²0+ sin 0-1=0 Solve C... What is the solution in the…

A: ⇒given  2sin2θ+sinθ-1=0 on [0,2π)

Q: Evaluate the definite integral. 0 0 Ein 5 5 32 O 5 dt

A: We are required to: Evaluate the definite integral:∫14t2+1tdt

Q: Find the standard form of the ellipse given below in general form. Select the correct answer below:…

A:

Q: 10. ما أريد 3-√3 2

A: To convert the following pair of rectangular coordinates to polar coordinates. -32, -332 Note:…

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) = (-√2, –√2). Provide your…

A: