The four sequential sides of a quadrilateral have lengths a = 4.2, b = 5.3, c = 7.8, and d = 10.7 (all measured in yards). The angle between the two smallest sides is a %3D 113°. What is the area of this figure?

Q: The Browns plan to build a 5-foot-wide garden path around a circular garden of diameter 30 feet, as…

A:

Q: A roofline shows a span of 12 feet across a sloped roof, and this span is accompanied by a 2-foot…

A: Given figure:

Q: A water storage tank is an upside-down cone, as top is 12 feet and the length of the sloping side is…

A: By using Pythagoras theorem and volume of a cone formula, we calculate the required volume.

Q: Find the radius if the intercepted arc is 60 degrees and the area of the sector is 24pi in. squared.

A:

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Figure :                             CB is the diameter;                              OB= 2 cm…

Q: The bases of a trapezoid are 12 cm and 26 cm. Find the length of the median. 12 cm EI A 26 cm

A: This is the given trapezium The median line is always parallel to the bases. Measure of bases are…

Q: Draw an acute triangle with an area of 10 cm?. On the grid below each square represents 1cm by 1cm.

A: we have to draw an acute angled triangle with area 10 cm2  here we are choosing triangle whose base…

Q: A lawn sprinkler has been set to rotate through an angle of 150° and project water out to 13 feet.…

A: Given that the sprinkler project water out to 13 feet. So radius= r= 13 feet Central angle=θ=150°

Q: mLe 129° m2f = 123°

A: We have to find the unknown angles in given diagrams.

Q: A scale drawing of a building was made using the scale 15cm=120ft. If the scale drawing is 45 cm…

A: A scale drawing of a building was made using the scale 15cm=120ft. Now scale drawing is 45 cm tall,…

Q: Circles B and E have radii of 10 cm & 7 cm respectively, and CD is 3 cm. Use this information to…

A:

Q: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

A: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

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 apothem length of a regular pentagon is approximately 3.44 cm. What is the approximate length of…

A: For a regular polygon with n sides, with side length s, length of apothem is given by a=s2 tan πn.…

Q: Each edge of the cube measures 4 inches in length. G. 3D ET C. What is the distance, in inches, from…

A: Given each edge of cube measures 4 inches in lengthi.e AB=BC=CD=AD=EF=FG=GH=HEHE=EA=HD=FB=GC=4Now we…

Q: The four sequential sides of a quadrilateral have lengths a = 4.9, b = 7.8, c = 8.2, and d = 11.4…

A: Firstly name the quadrilateral ABCD as shown and draw a line joining BD with length, r.   Applying…

Q: Find the measure of each acute angle in the figure. (4x-2)° (3x +8)

A: Given:

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?

A: The rotation is one-eighth of the way around a circle.

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: In AMNO, the measure of ZO=90°, MN = 27 feet, and OM = 2 measure of ZM to the nearest degree. %3D 27…

A:

Q: B D.

A:

Q: Given the figure below, find the shaded area (to the nearest tenth of a square centimeter) if the…

A: Given fig. is

Q: 2) Find the parimeter of the figure. I8 IS

A: as per our guidelines we should answer only one question at a time.so, i am answering 2.)   please…

Q: Two gears of radii 2.5 cm and 4.8 cm are adjusted so that the smaller gear drives the larger one, as…

A:

Q: Figure ABCD is a rectangle. Segment AB is 6 cm long, segment BC is 8 cm long, and segment AC is 10…

A: area of the triangle with the help of the dimensions given in a question

Q: Given a Regular pentagon with side length of 6 ft, find the Area by finding the following, what is…

A:

Q: The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find…

A: Firstly, we find the value of x , by using the fact that perimeter is sum of all sides of…

Q: The area of circle P equals 12 square units and area of sector APD equai 4 square units. Based on…

A: Given: Area of circle P=12 unit2     Area of sector APD=4 unit2     To find out: Arc AD=? degrees

Q: Circles B and E have radii of 10 cm & 7 cm respectively, and CD is 3 cm. Use this information to…

A: Given that circles B and E have radii of 10 cm and 7 cm respectively. And CD=3 cm. From the given…

Q: The lengths of the sides of a triangle are 5 cm, 12 cm, and 13 cm. Find the lengths, to the nearest…

A: Consider the given: And AD, BE and CF are the angle bisectors. By using angle bisector theorem:

Q: All the sides of a triangle are 6cm length. Wh at is the vertical height of the triangle? (indicate…

A: The Given triangle is Equilateral

Q: In the truss shown, find the value of ZDBE in degrees. 48

A:

Q: The four holes on the I beam shown are equally spaced. Determine the distance, in feet and inches,…

A:

Q: A minute hand of a clock has a length of 15cm. How long will it sweep out an angle of 105°

A: A minute hand of a clock has a length of 15cm. The area it will sweep at an angle of 105° , is…

Q: 2. The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm?. Find…

A:

Q: During one of Pepe's regular Sunday walking, he plays a two hour-cassette tape (one hour on each…

A: Solution: Let the initial radius of the tape is 1 and the playing time of cassette tape is 2 hours.

Q: what is the measure of MB?

A: Given, Point A is between Point M and B. Also, MA = 9cm and AB = 13 Cm

Q: Solve for the missing 4 cm information, given that the two triangles are SIMILAR. y (If a decimal…

A: Given similar triangles:  △ABC~△DEC That is, Similar triangles have a common ratio for their…

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 radius of the cone is feet. * 13 feet et

A: Height is 12 feet given Hypotenuse 13 feet is given we know that  H2=P2+B2(13)2=(12)2+(B)2…

Q: If the pyramids below are similar, what is the ratio of the surface area?

A:

Q: What is the size of each interior angle (in degrees) for a 14-sided regular polygon? Round your…

A:

Q: Find the area of the parallelogram whose sides are 67 cm and 43 cm, the acute angle between them…

A: Using the area of parallelogram, we can find the area

Q: (b) The radius of the circle and each arc showT are 4 cm each. Calculate the area of the shaded…

A:

Q: The corresponding sides of two similar triangles are 7 cm and 8 cm. What is the ratio of their…

A:

Q: The formula for the circumference C of a circle of radius r is _________ .

A: The formula for the circumference C of a circle of radius r is given by: C=2πr units

Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

A:

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

A: cosθ=adjacenthypotenuse

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.