2. 17. In Figure 7, ABCDE is a regular pentagon with side of length 2. What is the x-coordinate of D? 21 (A) 2.62 (B) 3.62 (O 3.73 (D) 3.90 (E) 4.90 A (1,0) Figure 7

Q: 4- The centroid of the shaded area is required to lie on the y-axis. Determine the distance b that…

A: Answer is mentioned below

Q: 12: A tangent to the circle x² + y? = 5 at the point (1,2) and th circle x? + y² – 8x + 6y + 20 - A)…

A: Given that  A tangent to the circe x^2+y^2=5 at the point (1, 2)

Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

A:

Q: 10. Given the figure to the right, UV is a tangent segment and UY is a secant segment. Find the…

A:

Q: 3 where should the point: P be chos en on the line segment AB So as to maximize the angle o ? 2 B.…

A:

Q: 18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that,…

A: To solve the given question we shall use the following formula: Cauchy integral Formula: Let C be a…

Q: Consider a right isosceles triangle A cuts [AC] in D. 1) Calculate the sides of the triangl 2)…

A: To calculate- sides of triangle BAD and area of triangle BDC.

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length 1. Show that one can…

A: To solve this problem we use the Pigeonhole principle . Pigeonhole principle : If there are m holes…

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: The graph of x+y = 4 is an ordinary right cireular cylinder. Indicate axis of the eylinder lies…

A: The equation of right circular cylinder is given by  x2+y2=4

Q: Consider the shaded square region on the s-plane, as shown in Fig. Q1. Let p =-Co, + j@, 1-5?, S'-…

A:

Q: *6. In the figure, the larger circle, centre O, intersects the smaller circle at P and R. Q is…

A: Given that the larger circle with center O, intersects the smaller circle at P and R. So, OP, OR are…

Q: Three people are standing on a stage at points X, Y and Z as seen bolow in the given picture. In…

A: Solution : We have given the position of 3 people are at X,Y and Z and they form a triangle △XYZ.…

Q: o the circle of radius 2 centered at co.2.0) and lying in the (b) plane y=2 - the line through the…

A: Given that

Q: 3. In the diagram, AC is a tangent to the circle with center O. What is the measure of x? Give…

A:

Q: l1. The fiqure below shows a three lamp, located right of the created units to the 4-anis and a…

A: Answer is below

Q: A trough for holding water is to be formed as shown in the figure below. Determine the angle 0 that…

A:

Q: Suppose you use geometry software to construct two secants, DC and BE, that Intersect outside a…

A: We can answer this question as below

Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

A:

Q: 5. Derive the distance formula between a point S and a plane through point P. |n PS d 3D |n|

A: Let Π be a plane passing through P with a normal vector n v is a vector parallel to n and passing…

Q: s denotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the…

A: Since, we know that s=rθ, where θ is the central angle.s denotes the length of the arc of a circle…

Q: 1. Name two points collinear to point D. 1 1)

A: As per our guidelines  I am supposed to answer  one question from eight question which question…

Q: 8) Wihat is the length of the pot Df the curve y2=(x-1)between the points (4,0) ond (2,4) ?

A: Let f(x) be a smooth function over the interval [a,b]. Then the arc length of the portion of the…

Q: 19. If AA'B'C' is the image of AABC under a dilation with center at (0, 0), what is the scale…

A: The given figure is:

Q: 5) Find the distance between the pole and the point (r, 0) = (-1, ). %3D

A: A detailed solution is given below.

Q: 13. Let C be the unit circle |z| = 1, described in the positive sense. Determine the %3D value of c…

A:

Q: Part (a) Evaluate 4e*dz, where C is the polygonal path consisting of the line segments from z = 0 to…

A:

Q: 1. A is at 1 and B is at 10. Find the point T so that T partitions A to B In a 2:1 ratio. -10 -8 -6…

A: Given, A is at 1  B is at  10  We have to find the point T such that  partitions A to B in a 2 : 1…

Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: 4. to 1 What is the location of point A after a reflection across the y-axis and a translation of 4…

A:

Q: 5. Consider the shaded region shown in the figure that involves the curves of equations: (x – 1)? =…

A:

Q: 2. Find points P and Q on the parabola y = 1 – x? so that the triangle ABC formed by the r-axis and…

A: Given:  To find points P and Q on the parabola y=1-x2 so that the triangle ABC formed by the x‐axis…

Q: 4. 3. B. drawn. Prove by congruent right triangles that BB' = AO and AQ = CC'. What conclusion can…

A:

Q: 1 x = + 6 2y What is the length br of the portion of the graph of the between the points with y = 1,…

A:

Q: (c) Determine the natural cubic spline that interpolates the data f(0) = 1, f(3) = 2, f(8) = 3 and…

A:

Q: Your Turn!: Find the point B on AC such that the ratio of AB to BC is 3:1. How many pieces are we…

A: We will use section formulae to find solution to the problem.  According to the Bartleby guidelines…

Q: (27=2 + 26xy + 10x – 2y°, 13x2 + 30y² + 2x³ + 22y)and let C be the circle a2 Let F = + y = 4…

A:

Q: 7.38. Calculate the second moment of area for a 2 × 6 piece of lumber about the x-x and y-y axes, as…

A:

Q: A trough for holding water is to be formed as shown in the figure below. Determine the angle 0 that…

A:

Q: Part (a) Evaluate 100e dz, where C is the polygonal path consisting of the line segments from z =…

A:

Q: Find the length of one branch of the curve 9y^2=4(1+x^2)^3 from x=0 to x=2

A: Given curve is 9y2=4(1+x2)3

Q: 20 А (3, 4) B In the xy-plane above, point O is the center of the circle. If arc AB has a length of…

A: Answer is mentioned below

Q: Find the center and the radius r of the sphe S: a +y ++ te + 8y – 8z = -11 82 -11 %3D

A:

Q: 43 In the figure, ABCDEF is a right prism with AABC as base. ZBAC = 90°, AC = 12 c RC = 20 cm and BF…

A: Given that ∠BAC=90°, that means triangle ABC is a right triangle.  One leg = AC=12 cm. Hypotenuse =…

Q: FGHI is a trapezium with dimensions as shown in the diagram below. If P is a point on IH such that…

A:

Q: 1. Find the distance from point P to AB. Show your work. Ay C(3, 4) B(1, 2) 6 x А(-3, —2) Р(5, — 2)

A:

Q: A circle has an equation of ² + y? = 48. Compute the common area between the circle 2 + v? = 48 and…

A: Given:   x2 + y2 = 48    x2 + 8y = 0

Q: 2. Consider the following diagram. U Part A: Prove that a LOU~A OZU- A LZo. Part B: Prove that the…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.