A section of a roller coaster ride is shown. Ax) = 0.001x² –0.12x² + 3.6x + 10 10 20 30 40 50 60 70 Meters

Q: Find the number of sides for a polygon whose sum of the measures of its interior angles is: a) 1980°…

A: To find the sides of the polygon

Q: For a triangle whose perimeter measures 36 units, the radius of the inscribed circle is 3.Find the…

A: Perimeter of triangle = 36 units r = 3

Q: Approximate the remaining parts of triangle ABC.α = 23°30', c = 125, a = 152

A: According to the law of sines: sin αa=sin βb=sin γc

Q: Dora says that of the possible rectangles with the same area, the rectangle with the largest…

A: Formula: Area of rectangle = height ×breadth Perimeter =2(height +breadth)

Q: Find the value of the variable in the isosceles trapezoid. 74° (3x+20)°

A:

Q: In ASUM, mLS = 75 and m2 U = 43. Which side of ASUM is the shortest?

A: The solution is given below.

Q: The space within a one mile racetrack consists of a rectangle with a semicircle at each end. To make…

A:

Q: In rectangle ABCD, AB = x, BC= x+2, and AC = x+4. Find the value of x.

A:

Q: In rhombus MATH, mZHET = 2x + 10. Find x. E H

A: Given rhombus MATH in which m∠HET=2x+10. To find the value of x. Solution: We know that diagonals…

Q: 3x- 1 V Y Зх + 7 8x %23

A:

Q: In the diagram below, assuming line a is parallel to line b, the measure of 21 is equal to (2x) a…

A:

Q: Find the value of the variable in the isosceles trapezoid. 55° (3x+10)°

A:

Q: Explain in detail why a square could also be: a rectangle, a rhombus, and a parallelogram. You have…

A: Given,         Explain in detail why a square could also be : a rectangle, a rhombus and a…

Q: What are the other two sides of a 30°−60°−90° triangle if the side opposite the 30° is 18?

A: the other two sides are 183  and 36   the explanation is given below

Q: A triangle has a perimeter of 58 feet. If the three sides are triangle n, 3n+4, and 4n-10, what is…

A:

Q: Approximate the remaining parts of triangle ABC.β = 115°, a = 4.6, c = 7.3

A: Given  The triangle  ABC having β = 115°, a = 4.6, c = 7.3 .

Q: Use the Pythagorean Theorem to solve for the missing side. a2 + b? = c? 9. 10 8. 12 O O O O

A:

Q: (d) A triangle is equilateral only if all its sides have the same length.

A: d) If all the sides of a triangle are having the same length, then only possibility will be that…

Q: In the rectangle KLMN, with lengths KM - 10x + 24 and LA - 32. Find the value of x. A

A: We know, The diagonals of a rectangle are equal and bisect each other.

Q: In a 30-60-90 triangle, the longer leg is times as long as the shorter leg

A:

Q: The sum of the angle measures of a polygon with n sides is 540. Find n. n-0

A: The sum of angles = (n – 2)180° where n = number of sides of the polygon

Q: Given AR, explain how to construct a square with sides of length AB.

A:

Q: The area of a square is given by 625x y. What is the length of one side of the square? O 25°xy O…

A: .

Q: The hypotenuse of a 30-60-90 triangle is 30. What is the length of one of it's legs?

A: Given triangle have angle 30-60-90, hypotenuse = 30Hence it is right angle triangleSo,legs if base…

Q: In AUVW, w = the nearest 1oth of an inch. 3 inches, ZW=23° and ZU=73°. Find the length of u, to

A: We have to find u=? (nearest 10th of an inche.)

Q: The quotient of b and 7 is grater than or equal to 27

A: Given,         The quotient of b and 7 is grater than or equal to 27.

Q: AABC is circumscribed about OH, with points of tangency D, E, and F. 8. H. F

A:

Q: Find the area of a triangle whose sides are 4,5,and 7.

A: Given sides of the triangle; 4,5 and 7 .

Q: A ship sails 20 miles on course 35°T and then sails 30 miles on a course 300°T. How far is it from…

A:

Q: In ACAB, a = 30 m, m2C= 133°, b= 18 m Find c %3D %3D

A:

Q: The area of a triangle with vertex angles A=61.159°, B=34.246°, C=84.595° is 680.60sqm. The longest…

A:

Q: If the perimeter of a rectangular building is 250 feet, and the length of one of the sides of the…

A: Here given that the perimeter of a rectangular building is 250 feet . And also given that the length…

Q: Find the lengths of the other two sides of A RST

A: Lets draw a diagram of two similar triangles using the given information Let x  and y are the…

Q: The sides of a triangle are 195, 157 and 210, respectively. What is the area of the triangle?

A: Given,            The sides of a triangle are 195, 157 and 210, respectively..To find: The area of…

Q: 7.3m 8.2m 21.2m 15.5m 17m 13.8m

A:

Q: In a AABC, if the sides a 205 m, b = 84 m, and c = 187 m, then C is

A: Given that:-    In △ABC ,    a=205m    b=84m    c=187m   ∠C=?

Q: The sides of a triangle are given as 3x, x - 1 and 3x + 1. If the perimeter is 56m, find the area.

A: The sides of a triangle are given as 3x, x - 1 and 3x + 1.So the perimeter is:

Q: rv3v

A: VII. Find the integral of∫15  r3v+1dvVIII. Find the integral of∫cos5x(-sin x)dx

Q: Find the measures of the inscribed quadrilateral. 2x AKX+5 •0 3x - 5

A:

Q: Find the value of the variable in the isosceles trapezoid. 57° (2x +15)°

A: Base angles of an isosceles trapezoid have equal measure.

Q: The longer leg of a 30-60-90 triangle is 6. What is the length of the hypotenuse?

A: Diagram:30-60-90 triangle:

Q: The sum of the angle measures of a polygon with n sides is 2880. Find n.

A:

Q: Find the number of sides for a polygon whose sum of the measures of its interior angles is: a) 900°…

A: We have to number of sides for a polygon whose sum of the measure of its interior angles is: a)…

Q: Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)

A:

Q: The side of a cyclic quadrilateral measure 20.097 m, 13.893 m, 27.5385 m and 21.516 m consecutively.…

A:

Q: The length of a soccer field is an example of:

A: The length of a soccer field is an example of continuous variable. Its value range from 0 to 7140 sq…

Q: If the figure is a rectangle, the value of x is... 9x + 20 10x+8 O 13 2 O 12 O 28

A:

Q: in the diagram, BCD is a straight line and BC : CD = 5 : 3. Calculate the area of triangle ABC as a…

A: the given diagram is: we have been given that in the diagram, BCD is a straight line and BC : CD =…

Q: The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse? O 10 inches

A: The angles in the right triangle is 30-60-90, So the sides in the triangle are in the ratio,  1:√3:2…

Q: Find the measure of a if b = 7, c = 5, and d = 20. Round to the %3D %3D nearest hundredth.

A: