Each of the legs of an isosceles triangle is 40 cm in length. The base is 30 cm in length. Find the measure of a base angle.

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

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Q: Is it possible to draw a triangle whose sides measure 7,7,and 14?

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Q: On a circle of radius 7 feet, what angle would subtend an arc of length 5 feet?

A: Let l Length of arc, r is radius of circle  and θ is angle of sector . θ=lr angle is in radian.…

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

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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: In a circle with a 8 yard diameter, an arc 27 yard long subtends an angle of how many degrees, to…

A: Given that the diameter of circle (D) = 8 yard   Arc of circle (L) = 27 yard   To calculate the…

Q: The exact height of a right triangle with base angle 60 and base 12 is

A: Use trigonometry relations.

Q: What is the length of an arc intercepted by a central angle of with a radius of 56cm?

A: Arc length is given by Arc length=2πrθ3600

Q: How many degrees are in a central angle, whose arc is of a circle?

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Q: Find the area of a segment of a circle if the central angle of the segment is 130° and the radius is…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: What is the measure of each interior angle of a regular hexagon?

A: By using regular hexagon property, we calculate the measure of interior angle.

Q: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet?

A: Formula used:

Q: A parallelogram had a aide length of 19 and a diagonal length of 11 if the angle between the two is…

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

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Q: Each of the congruent legs of an isosceles triangle is 20 cm long. The measure of the vertex angle…

A: Go Through the solution use cos formula and simplified use calculator.. Go through the solution.

Q: The points A, B, and C lie on circle Q below, in which BC is a diameter. In circle Q, what is the…

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Q: On the unit circle, the _______ measure of a central angle and the length of _______it cuts off are…

A: Fill in the blanks "On the unit circle, the _______ measure of a central angle and the length of…

Q: A student says there are 360 rays emanating from a point since there are 360 degrees in a circle –…

A: We can there  are 360 rays that are 1° degree apart from it's consecutive rays.  In general we can…

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: Find all angles in size of the triangles. Round to tenths

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Q: The height of a right triangle with base angle 45° and base 12 is

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Q: if a 25 ft tall casts an 8 ft long shadow, then how tall is a tent that casts a 3ft shadow? sketch…

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Q: Find the measure of the indicated angle to the nearest degree. For number 12 and 13

A: We have the given triangle as  12)    AND 13)

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: Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the…

A: The cosine rule of triangle are: cosA=b2+c2-a22bccosB=a2+c2-b22accosC=a2+b2-c22ab If the length of…

Q: On a circle of radius 8 feet, what angle would subtend an arc of length 5 feet?

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Q: Determine the length of side length a to the nearest tenth of a kilometer, given that angle B is 62°…

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Q: The height of a right triangle with base angle 45° and base 14 is

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Q: Is it possible to draw a triangle whose angles measure 70°, 70°, and 50°?

A: Not possible Option d is the correct answer.

Q: The trusses of the roof of a house are in the form of an isosceles triangle. If the sides have…

A: Given :  A isosceles triangle with the sides 4m, 4m and 7m.   To find :  Measure of angle formed by…

Q: An angle with a measure of-215° would have a terminal side in what quadrant?

A: An angle with a measure of  -215 degree would have a terminal side  in

Q: Find the measure (in degrees) of the central angle.

A: We have to find the measure at central angle

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: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

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Q: If points A and B are the endpoints of a diameter and C is any other point on circle O, find the…

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Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

A: If a regular polygon has n sides then the sum of interior angles of a polygon is  Sum of interior…

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: What is the radius of a circle if a central angle of 20° subtends an arc of length 10 inches?

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Q: Each angle of an equiangular triangle has measure ____?

A: To write: The measure of each angle in a equiangular triangle.

Q: On a circle of radius 6 feet, what angle would subtend an arc of length 4 feet?

A: The length of radius, r= 6 feet The length of the arc, l=4 feet

Q: The three sides of a triangle measure 15 cm, 17 cm, and 18 cm. Find the measure of the largest…

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Q: In a circle of radius 11 cm, an arc of length 64.9 cm is formed by what central angle?

A: Given : Radius of Circle = 11 cm,                  Arc of length  = 64.9 cm,   The formula of…

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

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Q: What is the measure of each angle of a regular heptagon? If necessary, round to the nearest tenth.

A: We have to find angle

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: Find the sum of the interior angles of a hexagon

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Q: Each of the congruent legs of an isosceles triangle is 20 cm long. The measure of the vertex angle…

A: cosθ=adjacenthypotenuse

Q: On a circle of radius 6 feet, what angle would subtend an arch of length 7 feet

A: Given the length of the circle is r=6 feet the length of the arc of the circle is S=7 feet Let θ be…

Q: Find the area of a triangle having two sides of lengths 24 meters and 10 meters and an included…

A: Consider the given sides as, a=24, b=10 and C=62°