5. Boyd (B) is trapped in a soccer training circle. Albert (A) and Carlos (C) kick the ball to Boyd in rotation. Determine how far Boyd needs to kick the ball to Carlos if he is located in the center of his training circle and Carlos is located at the outer rim. B: 19 yds. А 30 yds. C

Q: How much artificial turf should be purchased to cover an athletic field that is in the shape of a…

A: Please see the explanation below

Q: Which angle is larger, Z1 2?

A:

Q: Find the length of the midsegment of each trapezoid. 6.5 91 О 6.4 O 7.8 О 5.4 О 10.8

A: Using mid segment formula.

Q: Find the length of the cardioid r=4+4cosθ

A:

Q: If mz3 = 39° and mz4 = 62°, %3D find the measure of <1. *

A: Using " The Exterior angle Thereom",

Q: ABCD is an isosceles trapezoid with median MN. If DC = 3x, AB = 2x², and EF = 7, then: %3D ME = %3D…

A:

Q: An imperial tie-fighter spaceship is 25 parsecs south of a rebel x-wing ship. If the tie-fighter…

A: The figure can be drawn as By sum of angles of a triangle, the remaining angle is  90°-72°=18° The…

Q: the top & bottom ends of a windshield wiper blade are R=40 in. and r=12inches, respectively, from…

A: We first find the area of the sector that is created by the bigger blade.  It has radius=R=40 in and…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: The top and bottom ends of a windshield wiper blade are R = 32 in. and r = 12 in., respectively,…

A: The top and bottom of a windshield wiper blade are R=32 in. and r=12 in.The wiper sweeps through…

Q: eft K R 2z - 1 60 5z + 19 180

A: The given pentagon KLMNP and QRSTV are similar to each other  NP = 2z - 1 =LM MN = 60 and  RS = TV =…

Q: Find mZS and mZT in rhombus RSTU. a+540 R |17a+22° m/s =

A: Explanation and solutions is given below.....

Q: A boy is standing at a point (A) 8m away from the river. If BC = 6m and CD = 27m, %3D %3D how wide…

A: First, draw the diagram representing this scenario. Then, use the similarity relation to calculate…

Q: In the diagram below of triangle K mi midpoint of LM. If NO = 3+7x, and KL= 4x + 16, what is the…

A: According to the triangle midsegment theorem, a midsegment connecting two sides of a triangle is…

Q: The general shape of the base of the play area is shown below. m CLIMBING EQUIPMENT (gravel base) 15…

A: From the given diagram, we have to find its missing lengths and perimeter.

Q: of a 30° - 60°- 90° right-triangle, whose shorter leg i d. 20 riangle is 12 cm, what is the measure…

A:

Q: nd the missing side length and angles of AABC given that mZB = 137°, a = 15, and c = 17. %3D 127°

A:

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: 2) The length of the median of trapezoid EFGH is 13 feet. If the bases have lengths 2x + 4 and 10x -…

A:

Q: - Given a parallelogram ABCD. What is the measure of LA if ZB = 27*? А. 27° %3D В. 63° С. 153° D.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The Cunve boelow is colled a serpentine. Fnd n eauotion of the toragnt line to tho cuve ot the pant…

A:

Q: In ATUV, t = 6.6 inches, ZU=71° and ZV=36°. Find the length of u, to the neare: 1oth of an inch.

A: In the triangle TUV, the given measurements are t=6.6 inches, ∠U=71° and ∠V=36°. Evaluate ∠T as…

Q: B ABCD is a parallelogram with AD = 3x + 17, DC = 4x - y, BC 2y, and BA = 4. %3D %3D %3D %3D What is…

A: In parallelogram, opposite sides are equal and parallel to each other. Perimeter is the sum of…

Q: Given AE S EC , for what value of x is quadrilateral ABCD a parallelogra 4x A 3x+1 D 10 PREV 7 8 9…

A:

Q: 3. Trapezoid ABCD is shown. i 40 40 70- What is the length of AB A 30 B. 40 C. 50 D. 70

A: We know that,According to pythagoras theorem,Hypotenuse2 = Perpendicular2 + Base2From the figure,AB2…

Q: Find the value of s in parallelogram ABCD. S+61 5s-39 D

A:

Q: D) 36 – 18V3 30 10 17. What is the area of the shaded region above, which is formed by two…

A: Ans.17 We have given two semicircle               Radius of Larger semicircle =302+10 =25…

Q: 3 In parallelogram ABCD, m<ADC = 120 and AE bisects /DAB. What is m/AEC (1) 30 (2)60 (3) 120 (4) 150

A: Consider the given parallelogram

Q: Eric wants to put a fence around the triangular field shown in the diagram. How many yards of fence…

A: The amount of fence required is equal to the perimeter of the triangle given. Let the missing side…

Q: A Living a pom is 7:2m fog and 15 m wide. what ire gresesd wald 7 be of a joale plan qucun p a feale…

A: To determine the room's size in real life, we must first measure the room on the floor plan.Each…

Q: 4. Is WY a bisector of LXYZ? WHY? W 24 10 6a (4a+18) Y 24 YW = WZ = M2XYW = MZZYW = %3D EB bisects…

A: Given query is to find the Indicated sides and angle.

Q: Three ballet dancers are positioned on stage. Erica is straight behind Vivian and directly left of…

A: Let Position of the Erica, Kelvin and Vivian be E,K,and V respectively

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Please refer to the image below

Q: The top and bottom ends of a windshield wiper blade are R = 34 in. and r = 10 in., respectively,…

A: AREA OF A SECTOR OF A CIRCLE WITH RADIUS r ISA = 12 r2 ϕWHERE ϕ IS THE ANGLE SUBSTENDED AT CENTRE OF…

Q: 10) Find the area of the rhombus if the perimeter is 20cm and one diagonal is 8cm. Area =

A: Area of a rhombus is given by- A=12d1d2 where d1,d2 are the diagonals of rhombus Given- Perimeter of…

Q: A randon veniable is uaiform ly distabutzd over whit is its skew ? t's

A: The pdf of uniform distribution is as follows:

Q: as. rhombus WXYZ [AJ4 [B] IC] 27 D] 18 5x

A:

Q: Solve for the specified variable.

A: From the given data:

Q: 2. Mr. Malone plans to construct a wNalkway through his rectangular garden, as shown in the drawing.…

A: Given query is to find value of W.

Q: C.from trapezoid xule, evghuate (1.2

A:

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VW. If mZY XV =…

A:

Q: Determine the length of the diagonals of the isosceles trapezoid below when AC = 7x – 9 and BD = 3x…

A:

Q: Find the value of y that makes quadrilateral DEFG a parallelogra E y+65° D. 2y

A: For parallelogram Opposite angles are same.

Q: A farmer wishes to construct a rectangular Pen to Keep his livestoCk. In order to reduce the needed…

A:

Q: D has 8-inch sides, M is the midpoint of B gths of NB, NM, NA, and ND.

A:

Q: Find the semiperimeter of triangle ABC.     a = 33 yd, b = 45 yd, c = 6 yd

A: We have to find semi-perimeter of triangle ABC where lengths of sides are given as: a=33 yd, b=45…

Q: In the diagram below of triangle UVW,X is a midpoint of UV and Y is a midpoint of VW. If m/Y XV = 3x…

A:

Q: 11. SPORTS David is building a bike ramp. He wants the angle that the ramp makes with the ground to…

A:

Q: 5. The Martins are thinking of making a brick walk across their oval rose garden from point B to…

A: Given data: The given longest side is H=27 yd. The other side of the triangle is b=23 yd. The…

Q: AJOY is shown below. If mZJ = (8x + 32)° and mZY = (7 + 37)°, find Y m2O. mzO =

A: Given,  m∠J =(8n+32)°  m∠Y = (7n+37)°∵ In a triangle, the sum of allthree angles = 180°

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.