Figure ABCDEF is a regular hexagon. Figure GHIJKLMNOE is a regular decagon. Two sides of these regular polygons lie on the line m. Find the measure of angle ABC, angle FEG, and angle HIJ. M. N K B A F G m

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Q: Ans. f(t) = te' -0.51 e %3D

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Q: 6m 9m

A: We know that the volume of the triangular prism =12×base×height×lengthFrom given diagram Height=6m…

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Q: Find the Laplace Transform of the following functions s-o Ans. F(s) = 11) 1) f(1) =1 cos(@t)

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Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: 11. 120

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Q: Find the Laplace Trans Form 4) f(1) =t sinh(at) 2as Ans. F(s) =

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Q: 2. The diameter is 24 cm. Find the length of arc CD. D C 60° Arc:

A: Given, Diameter =24 cm, Therefore r=12 cm. θ=60°θ=π3cWe have S=rθS=12×π3S=4πS=4×3.14S=12.56 cm

Q: Prove that the two circles shown below are similar. 13 12 11 7 B 6 D. -5-4-3. 2.3 45 6789 10

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Q: F(s)=-4s²

A: find

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Q: What is the value of y? 10 440 y= (Type an integer or a decimal.) Help me solve this View an example…

A: We have to find the value y

Q: Find the total surface area of each solid below. Round your answer to the nearest whole number. 4 m…

A: To find the total surface area of the given solid.

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Q: A bakery sells hollow chocolate spheres. The larger diameter of each sphere is 4 cm. The thickness…

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Q: A right circular cylinder and a right circular cone with the same circular base and same length of…

A: Given that A right circular cylinder and a right circular cone with the same circular base and same…

Q: A rectangular pyramid has a length of 5, width of 8, and a height of 9. What is the volume? Round to…

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Q: с 52° B 12 A

A: This question is based on Trigonometric Ratios.

Q: Roger inscribes a square in a circle whose diameter is 12 meters. What is the length of each side of…

A: We can find the sides of the square in the following steps.

Q: 9. A pole leans away from straight vertical and it has created an angle at its base of 98 degrees.…

A: Given problem:- A pole leans away from straight vertical and it has created an angle at its base of…

Q: The area of a sector of a circle with a central angle of 2?/11 rad is 19 m2. Find the radius of the…

A: Given: Area of the sector =19Central angle =2π11 To Find the radius of the circle.

Q: C. Directions: Use the figure at the right. 1. What angle appear to be acute angles?(1 angle only)…

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Q: The function f(x) = 2x 30x2 + 54x – 7 has two critical numbers. - he smaller one is x = nd the…

A: Given query is to find the critical value of the function.

Q: ratios of the indicated angle 9. sin = cos tan = csc = sec = 6 cotA= Find the six trigonometric 1)…

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Q: Suppose the pentagon below represents the base of a pentagon prism that has a height of 8 inches.…

A: Volume of prism

Q: 1. Find the surface area of the cone z = √x² + y² that lies between the plane y = x and the cylinder…

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Q: Compare and contrast the difference between finding the odds and finding the probability of an…

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Q: What fractional part of one semicircle does the labeled angle represent? Express your answer as a…

A: To determine what fractional part of one semicircle does the labeled angle represent. To express…

Q: Rnd the Inwrse Laplace Tras Form 11) F(s)=- (s+2)+n' Ans. f(t) =e sin(nxt)

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Q: # 3 Graph the parabola from the given information. Then write the equation. a) Vertex (2,-3) Passing…

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Q: nVYX = 282

A: answer is in next step

Q: 12. If NO = 12 in. and PO tenth of an inch?

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Q: PROBLEM: Find f(kT) if F(z) = z(z + 1)(z + 2) (z - 0.5)(z-0.7)(z- 0.9)

A: Given :

Q: What is the area of the shaded segment shown in below? M 12 in. 0 30⁰ P 12 in. N

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Q: 14 In the diagram, shown below: If ZABC = 63° and ZBCA = 54° , then what is ZDAB? degrees. 63 54…

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Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: Total student    P(male)   P(pass)   P(male)×P(pass)=91+16234*91+92234=652718252=0.358

Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on…

A: ------------------------------------------------------------------------- Line ⊥ to yz plane is ∥ to…

Q: 8. Reflect triangle LMN with vertices L(-2, 3), M(1, 4), and N(2, 1) over the y-axis. 4y L'= M' = N=

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Q: Find the value of c using the given chord and secant lengths in the diagram shown to the right. 10…

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Q: The volume of the cone below  is 44 piπ cm3 and has a height of 14 cm. Find the base area of the…

A: Given query is to find the area of the base.

Q: (1-e ) = (1)f (► T<t< 2n Ans. F(s) = %3D

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Q: A circle is divided into 6 equal parts to form a spinner and numbered as shown: 1. Write down the…

A: Sample space is the set of all elements.

Q: In Exercises 13 and 14, find the length of the midsegment of the trapezoid with the given vertices.

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Q: Find the value of x. Round your answer to the nearest tenth.

A: Given, theta= 27° adjacent= 15 opposite= x

Q: 1. In this figure, triangle GHJ is similar to triangle PQR. 17 8 15 R Based on this information,…

A: Given two triangle similar to each other triangle PQR and triangle GHJ are similar, so:PQGH=PRGJ and…

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: We can find volume by using washers method.