The diagonals of a rectangle enclose an angle of measure 78°. If the perimeter of the rectangle is 36 cm, what is its area?

Q: what is the area of a triangle with sides a and b and an included angle.

A:

Q: A kite has two pairs of adjacent sides of 7 ft and 12 ft respectively, where two opposite angles…

A:

Q: Find the perimeter of an isosceles triangle with a base of 8 and a vertex angle of 20 degrees

A:

Q: The

A:

Q: Your neighbor's yard is in the shape of a triangle, with dimensions 120 ft, 84 ft, and 85 ft. Is the…

A: Given yard is in the shape of triangle, with the dimensions 120 ft, 84 ft  and  85 ft.

Q: The angle subtended by an arc of a circle of radius 60cm is 152 degrees. What is the length of the…

A:

Q: What is the approximate degree measure of an angle of 2.95 rad?

A:

Q: The two sides of a triangle are of lengths 300m and 150m, and the angle opposite the 150m-side is 26…

A: Solve by cosine rule

Q: Can side d be the base for this triangle? if so, which length would be the corresponding height? if…

A: We are asked to find the height of the given triangle.

Q: If the circumference of a circle is 2π or 2 pi, what is the measure of a semicircle?

A: Ans is given in the following photo

Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios  Area of parallelogram = Base X Height

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

A:

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

A: As per given question  We have to determine area of the sector

Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513…

A: An angle in minutes can be converted into degrees by dividing it by 60. The area of a triangle is…

Q: Find the area of a parallelogram if the angle between two of the sides is 60∘ and the two sides are…

A: Given : To determine the area of a parallelogram if the angle between two of the sides is 60° and…

Q: The diameter of a wheel is 48 inches. degrees through which a point on the circumference turns when…

A:

Q: calculate the area of a triangle given two sides and the included angle.

A: The sine of the angle between two lines gives the length of the third side. In  a triangle area is…

Q: A central angle of 45 degrees subtends an arc of 12 cm, what is the radius of the circle

A:

Q: In the distance formula, what part of a right triangle does d represent?

A: We are required to find what part of a right triangle does d represent in the distance formula.

Q: A given triangle has an area of 10 square meters and a height of 5 meters.  How long is the base of…

A:

Q: A triangular swimming pool measures 42 feet on one side and 68 feet on another side. These sides…

A:

Q: If a triangle has two angles that measure 45 to 90 degrees, what is the measure of the third angle?

A: Given problem is : If a triangle has two angles that measure 45 to 90 degrees, what is the measure…

Q: If the area of the circle is 360 in?, what is the area of the sector if its central angle measures…

A: The area of a sector of central angle θ and radius r is given by  Area of sector=θ360×πr2Area of…

Q: An oblique triangle is also an isosceles triangle. If the congruent angles each measures 64.6…

A: The measure of two congruent angles of an oblique triangle is, x = 64.6° To evaluate: The measure of…

Q: 3. The angle of elevation of the sun is 27°. IF a tree Is 12 yd. tall, how long will its shadow be?

A:

Q: Find the length of side aa if the length of side b=12 units, the length of side c=9 units, and the…

A:

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 14…

A:

Q: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: Contruct a triangle with a side length 10.5 cm , an angle 49 degrees and an angle of 86 degrees

A: First draw a line segment of length  10.5 cm.

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: To determine the length of a lake, a surveyor has measured the distances and angle shown. Find the…

A:

Q: The area of a sector of a circle with a central angle of 60° is given by 60T. What is the area of…

A: Explanation of the answer is as follows

Q: Is it possible to construct a triangle with side lengths 7 ft, 12 ft, and 18 ft. * Yes O No Geometry

A: We have given 3 sides of the triangle   We have to tell the possibility of construction of the…

Q: In ASTU, the measure of ZU=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ZT to the…

A: Given,           In △STU, the measure of ∠U=90°, US=7.4 feet, and ST=9.4 feet.

Q: If the diameter of the circle is 16 cms, What is the circumference of the circle

A:

Q: If the central angle of a circle measures 80°, and the arc length is 10cm, what is the length of the…

A: Note that : Let circumference of circle be 2πr where r is radius of circle.

Q: The central angle of a circle measures 100 degrees, while the area of the sector including that…

A: The central angle of a circle measures 100° and the area of the sector including that angle is 40π.…

Q: Find the measure of the central angle of an arc if its length is 14n and the radius is 18 m.

A:

Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: The two equal sides of an isosceles triangle are each 24 centime-ters. If each of the two equal…

A: Consider the diagram of isosceles triangle ABC as per the given information, since the sum of the…

Q: Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to…

A: sum of all angles of triangle is 180 degrees

Q: Construct a triangle with a side length 15cm,a side length 5cm ,and an angle of 44 degrees

A:

Q: What is the approximate degree measure of an angle of 4.59 rad?

A: Given problem is : What is the approximate degree measure of an angle of 4.59 rad?

Q: This shape is a rectangle. What is the measure of angle HJR

A: It is rectangle  Therefore, ∠GHJ and ∠HJI are adjacent interior angle hence, ∠GHJ = ∠HJI

Q: Find the area of a triangular lot having two sides of lengths 90 meters and 52 meters and an…

A:

Q: A central angle of a circle subtends an arc of 14π/3 cm. If the measure of the central angle is 70…

A:

Q: When the angle of elevation of the sun is 39.6∘, the length of the shadow of a utility pole is…

A: Given, angle of elevation of the sun is 39.6∘, and the length of the shadow of an utility pole is…