Given: JH= 12 m∠J = 80° m∠F = 60° Prove: MN, m∠FMN, m∠FNM

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: In the given triangle ∆MLK, ∠k=90° thus KL is the height of the triangle,MK is the base and ML is…

Q: Is the following indentity true? (cot (0)+tan(0))² = sec² (0)+csc²(ø)

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Q: Below shows in Figure 4 a triangular plate is taken off from a large steel sheet. Find the length of…

A: Given Data: The length of side PQ is r = 6.5 cm. The length of side RQ is p = 9.7 cm. The angle RPQ…

Q: The given trig ratios are congruent to what other trig ratios? W 1) cosW = 2) sinW = Y

A: From the given triangle we have: cos(W)=WXWY      and      sin(W)=XYWY

Q: Use the property that corresponding sides of similar triangles are proportional to complete the…

A: According to angle - angle similarity theorem, if two angles of a triangle is same as the two angles…

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

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Q: In Potsdam in 1988, Petra Felke of (then) East Germanyset a women’s world record by throwing a…

A: Given  The range of the javelin , x =262 ft +5 inch =262.42 ft The angle of launch =40 degree from…

Q: 1 , sketch a right triangle with acute angle 0, and find the other five 4 If cot 0 = rigonometric…

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Q: In a right spherical triangle LMN, N is the 90°. Given that side MN is 134° and side LN is 44°, in…

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Q: Given that sec(θ)>0 and sin(θ)<0, in which quadrant does θ lie?

A: We know that all trigonometric ratios are positive in 1st quadrant .

Q: Find the arc length of VW. Leave T in the answer. 135° W

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Q: y'= csc x + y cot x

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Q: Find the remaining trigonometric ratios of 0 based on the given information. 5V41 cos e = 41 and 0 e…

A: Given,

Q: If a e" sec 0, y = e' tan 0, show that Hr,e) (r,0) 1 (1,y) E E E

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Q: The area A of a triangle vwith sides of lengths a and b and with included angle e is given by the…

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Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

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Q: = 3 units, find the length of arc SU. Round In circle T with m/STU = 50 and ST to the nearest…

A: Find the arc length SU

Q: Based on the image below, what is the measure of arc XZ?

A: Here we have to find the measure of arc XZ from the given figure.

Q: Find the missing measure S=7 in ,  theta=3pi/4 , r = ?

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Q: Use the data below to determine RS. 26° R sin 26° s 0.44 cos 26° 0.90 tan 26° s 0.49

A: Given : A right-angled triangle ∆RSQ

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: Values of sin cos and tan

Q: Given that csc(0) < 0 and cot(0) < 0, in which quadrant does 0 lie?

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Q: Find e, 0° se < 360°, given the following information. cot e = -1 with e in QII

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Q: For an arc length s, area of sector A, and a central angle 0 of a circle of radius r, find the…

A: Radius=84.2 cm θ=π14rad=π14×180πθ=907degree

Q: Given AABC with the following measurements: m2C = 129° %3D а — 19 ст b = 13 cm Find each of the…

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Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

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Q: Given AABC with the following measurements: 6 mZC = 129° %3D а — 19 ст 13 ст %3D Find each of the…

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Q: From the following figure, if b = 3 cm and c 7 cm, then the value of tan 0.cot 0 = O 1 3. V58 V40…

A: Given a right angle triangle and length of sides b = 3cm c = 7cm

Q: 43. cot 0 = –2 and 0 E OII

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Q: In AHIJ, the measure of ZJ=90°, HJ = 21, JI = 20, and IH = 29. What ratio represents the cosine of…

A: In ∆HIJ,the measure of ∠J=90°, HJ=21, JI=20 and IH=29.

Q: Results for this submission Entered Answer Preview Result 6.28319 2л incorrect The answer above is…

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Q: For the given sector area, find the the arc length: 10ft F E Area = 130.83 ft2 O 24.31 ft O 26.17 ft…

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Q: Find cose, where is the angle shown. Give an exact value, not a decimal approximation. 10 9 0

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Q: In APQR, sin P = , sin Q =, and p = 15. Find the side length q. %3D Select the correct answer below:…

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

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Q: Given z = cos (2) + i sin (2241), where n is a po

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Q: Find the indicated trigonometric ratio for the following triangle: 205 m 84 m 187 m Given the…

A: The trigonometric ratio secant is described as Secϕ=HypotenuseBase Now here for the mentioned angle…

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: Here, we need to find sin M, cos M, and tan M for the following figure. Here,            sin M =…

Q: T U 91 ° V S 161 °

A: Theorem :-  When a tangent and a secant, two secants, or two tangents intersect outside a circle…

Q: Consider the angle 0 on a standard coordinate plane such that: cot(e) = 6; sec(e)<0, What is the…

A: Given, cotθ=6, secθ&lt;0tanθ=1cotθ=16

Q: ind the surface area of a sphere of radius r using the formula of arc length with respect to x. Draw…

A: Consider the given information.

Q: What is the arc length of the shaded region below? Leave all answers in terms of Tt * 20 ft K 160°

A: here radius=r=20 ft. circumference =2*pi*r=2(20)pi=40 ft. area of circle=pi*r^2=400pi Length of arc…

Q: In the given figure, determine the measure of arc BC if ZX = 52° . Express your answer in degrees.

A: 1. The measure of the arc mbc⏜ is equal to the angle subtended by the arc on the center.  2. The…

Q: For an angle <0 < T, f ind 0 for sin( ) + csc( ) + cos ( ) = 3

A: It is trigonometric value.

Q: M 40° K 138°

A: Arc angle= angle subtended by the arc at center. Sum of measurement of angles of a quadrilateral is…

Q: Find the remaining trigonometric ratios of e based on the given information. V3 and e is not in QIII…

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Q: In ΔOPQ, the measure of ∠Q=90°, PO = 97, OQ = 65, and QP = 72. What ratio represents the cosine of…

A: In ΔOPQ, the measure of ∠Q=90°, PO = 97, OQ = 65, and QP = 72 To evaluate : Ratio for cosine of ∠O

Q: Use the figure below to find the following measurements. K (2z – 3)° 7x 3x + 14 (5z – 6)°, M. JK =…

A: Given the parallelogram:

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: Sin M=Oppsite side Hypotenuse Cos M=Adjacent sideHypotenuse Tan M=Opposite sideAdjacent side

Q: Solve for the missing 5 cm information, given that the two triangles are SIMILAR. (If a decimal…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.