Explain why the area of the parallelogram shown is given by the formula A = ab sin y. a (HINT: You will need to use QN.) M. b. Exercises 41- 44

Q: The cube shown has sides of length 13 cm. Find: H. G E а BD b the angle FDB. D A B

A: Using pythagorean formulaBC=132+132 =132 cmSo, diagonal of each side=132 cm

Q: Calculate the area of triangle ABC with altitude, CD, given: A(-6, -4), B(6,5) C-1, 6), and D(2, 2).…

A:

Q: Figure ABCDE is a regular pentagon. Segment AE is located at A (2, 1) and E (4, 1). What is the…

A: A pentagon is a 5 sided regular polygon with side length‘s’. The perimeter ’P’ of regular pentagon…

Q: Consider an isosceles triangle whose leg measures 2 cm. Let 0 be the vertex angle (the angle between…

A:

Q: Calculate the area of triangle ABC with altitude, CD, given. A(-6, –4), B(6, 5), C(-1, 6), and D(2,…

A:

Q: 5. Give the corresponding formula for the area of a sector when the angle is measured in degrees.

A:

Q: The diagram shows triangle QRS with side SR on ray ST. (5y) yo 114° S Part A What is the measure of…

A: Given: The diagram showing triangle QRS with side SR on ray ST. To determine: a) What is the measure…

Q: Based on the measures provided in the diagram, B E 440 determine the measure of AEG- A F 53° (You…

A:

Q: apn Delow, which of the answer choices is closest to the actual distance between point A and point…

A: Consider the given graph which represents a triangle ABC. The objective of the problem is to find…

Q: What is the area of a sector of a circle with a central angle of measure 120° and whose diameter is…

A: We can find the area as below.

Q: The two triangles in the figure below are similar. 6m 8 m 10.5 m 12 m Diagram not drawn to scale Use…

A:

Q: What is is mXW^ based on the figure shown? Assume YW¯is a diameter of the circle attached. A) 120∘…

A:

Q: Solve for the area and perimeter of the triangle. Round answers to prove your answer. 10 cm 5 cm 6…

A:

Q: The figure is not drawn to scale.

A:

Q: Part A Refer to the figure. C Which of the following shows a dilation of triangle AEC using center…

A:

Q: Trhangle be ken to triangie A E C' B' A B A' A'B' C'B' АВ CB

A:

Q: Based on the image attached, it shows a quadrilateral ABCD such that ∠ABC is acute. Calculate, ai)…

A: We will solve for part a) ∠ABC ∠ADC Area of quadrilateral ABCD

Q: 1800 ft. x feet D 700 ft. 800 ft. 1400 ft. A summer camp counselor wants to find a length, x, in…

A: According to the problem, we have

Q: Use the Pythagorean Theorem to find the missing length, a, of the triangle given b = 20.5 and c =…

A: From pythagorean theorm-c2=a2+b2b=20.5c=27.8a2=c2-b2a2=(27.8)2-(20.5)2 a2=352.59

Q: The two parallelograms below are similar. Fu 6 20 in. 12 in. What is the length of MJ?

A:

Q: Show that the area of triangle ABC is given by sqrt(s(s - a)(s - b)(s - c)) where s = (a + b + c)/2…

A: Show that the area of triangle ABC.

Q: B D.

A:

Q: In AEFG, the measure of ZG=9o°, EG = 4, FE = 5, and GF = 3. What ratio represents %3D %3D %3D the…

A:

Q: On the unit circle, the terminal side of angle 0 intersects the circle at a point (x, y). If 0 is…

A: We have to find the co-ordinates of the terminal point (x,y) if an angle θ = 120° intersects a unit…

Q: Cis a midpoint of AB. If AC = 8, how long is BC? AB? %3D A

A:

Q: exact

A:

Q: docs.goog %3D 2.Given that the yellow segments are midsegments, If AC = 20 and FE= 6, then what is…

A:

Q: In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 36 and AC…

A:

Q: Consider the figure again, which consists of a triangle ABC and a sector of a circle with a central…

A:

Q: E H. F

A:

Q: The area of a triangle whose base is b and whose altitude is h is A =  ________.

A: We have to fill in the blanks: The area of a triangle whose base is b and whose altitude is h is…

Q: 23. BA is a radius of circle B and GH is a radius of circle G. ZB LG, BC-6, and the area of sector…

A:

Q: In the diagram below of circle 0, secant AB intersects circle O at D, secant AOC intersects 10.…

A: We have to find the length of OC.

Q: 16. NP, PM and NM are midsegments of triangle SRQ RQ = 30cm and NM= 18. What is the length SQ? 15 9.…

A: Observing from given figure and applying midsegment rule we have

Q: The distance between Boats 2 and 3 is 50 miles. Given the image at below, determine the distance…

A:

Q: In the figure below, the length of AC is 5 and the distance between B and center C is 13. C 134.8° D…

A: We know that when a tangent is drawn to a circle from an external point, then at the point of…

Q: b) Consider a piece of land in the shape of a triangle PQR where PQ = 10 m and angle QPR is 60'.…

A: topic - area of triangle

Q: Express the lengths a and b shown in the figure in terms of 0. b 3D 24

A: From given triangle  We have to show the lengths of a,b in terms of theta as shown below

Q: Given the length of arcAB is 8Tt and the measure of ¿ACB= 72 degrees, find the area of the shaded…

A:

Q: In the figure, O is the centre of the circle. AB=CD,OM1AB, ON 1 CD, CD = 6 cm and ON= 5 cm. (a) Find…

A: Given problem:-

Q: Find the area of the portion of the semi-circle shown in the figure which is outside of the…

A:

Q: In ▵DEF, ∠E = 120°, e = 10.5 cm, and f = 12.5 cm. How many triangle solutions are possible? Explain.…

A:

Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

A:

Q: Pre- assessment: Determine the actual area of the irregular figure and its individual interior…

A: To find the total area of the given figure, Area=ar(∆CDE)+ar(∆ACE)+ar(∆ABC) Where AB=5 m, BC=4 m,…

Q: For the triangle shown, the area is exactly 18V3 units?. Determine the length x. 60 2x

A: Given figure:

Q: The altitude of the equilateral triangle ARMS is SA = 27. Find the exact length of M.S. S M 27 A R

A: For an equilateral triangle, h=32a. Here, h is the length of the altitude and a is the length of the…

Q: A wildlife conservation group buys the 9 squar 3 mi B. /hat is the distance from Point A to Point B…

A:

Q: 8. Find the perimeter of this parallelogram. Use correct units in the answer. 2/1 8 ft 17 21 ft-…

A: We have to find perimeter

Q: A symmetric pyramidal tower needs a portion of its top layer repaired. The angle at which the tower…

A:

Q: The Great Pyramid of Cheops at Giza in Egypt has a square base of side length 230m. The angle of…

A: