1. A window is being built, where the bottom is a rectangle and the top is a semicircle (see figure on the right). If there are 12m of framing material, what must the dimensions of the window be to let in the most light? ←2r->

Q: Determine whether point (6, √5) lies on circle D, which is centered at the origin and has a radius…

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Q: 10. Find AC 3r+T D 15

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Q: Find the volume of the sphere. Round your answer to the nearest tenth.

A: The volume of sphere Here r is the radius of the sphere

Q: a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 82.16…

A: The formula of arc length Where r is the radius of circle and  is central angle

Q: Find the equation of the perpendicular bisector of the line segment joining the points A(0,5)A(0,5)…

A: To find the equation of the perpendicular bisector of the line segment joiningthe points .

Q: Convert 15°38' 50" to a decimal number of degrees. Do not round any intermediate computations. Round…

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Q: Find x and y using either the 45-45-90 triangle theorem or the 30-30-60 triangle theorem.

A: The objective of the question is to find the values of x and y using the 30-30-60 triangle theorem.…

Q: For Problems 1-2, prove that the figures are similar by describing (in words) a sequence of…

A: The given figure is:We have to prove that the figures are similar.

Q: 5) Find the equation of the plane through the following point that also contains the given line. P =…

A: To find the equation of a plane through a point and parallel to a given line, we can use the…

Q: Find the area of the figure. (Sides meet at right angles.) 5 ft 2 ft 2 ft 4 ft 2 ft 2 ft 5 ft 2 0₁²…

A: We know that the area of the rectangle is given,.Where,l is length and b the is width of rectangle.

Q: Urban Design In Washington, D.C., 17th, 18th, 19th, and 20th Streets are parallel streets that…

A: In Washington, D.C., 17th, 18th, 19th, and 20th Streets are parallel streets that intersect…

Q: 12. Let / be the line x + 1 y +3 2 3 and let P be the plane = -Z 3x-2y + 4z = −1 a. Find the point…

A: Let  be the line  and let  be the plane(a) To find the point of intersection P0 of .(b) To find an…

Q: Quad ABCD is a pgram with an area of 36 units². We have the following relationships: . E is the…

A: According to our guidelines, we can answer only first three sub-parts. Kindly re-post other…

Q: Submarine A is moving toward the most recent position it has for submarine B. It sails due east for…

A: The objective of the question is to understand the relative positions of the two submarines and…

Q: 4. Circle F, shown below, has four intersecting tangents. Find the length of JD. 24 cm G 17 cm H F D…

A: Given: To Find: To find the length of .

Q: Find an equation of the surface satisfying the conditions. The set of all points equidistant from…

A: The distance between two points  and  is

Q: Tina is stuck completing a proof that she was assigned for homework. Help Tina by filling out any…

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Q: The ratio of the measure of a base angle in an isosceles triangle to the measure of the vertex angle…

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Q: if and equilateral triangle is drawn on a coordinate plane. can any transformation preserved the…

A: The objective of the question is to determine whether any transformation can preserve the lengths of…

Q: 12. Find the measure of the largest angle in the diagram below. зхно 2X (2x) (3x +<10)° 2X+03X40

A: Since question 10 figure is missing. I solved question 12 .

Q: Consider the two lines L₁ x = -2t, y = 1+ 2t, z = 3t : and L₂: x = -6+2s, y = 1+ 4s, z = 2 + 4s Find…

A: Consider the following two lines: To find the point of intersection of the two lines.

Q: Similar triangles by SSS Similar triangles by AA ** GRED The triangles are not similar Similar…

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Q: Parallelogram ABCD is shown. B AC = 71° 27⁰ 45⁰ E If BE = 2x+2, BD = 5x-3, and AE = 4x-6. What is…

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Q: A 12-foot lamppost casts a 18.5-foot shadow. A nearby tree casts a shadow that is 32 feet long. How…

A: The objective of this question is to find the height of the tree using the concept of similar…

Q: 40° 80° X

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Q: Given that m<MON= x + 41, mLLOM= x + 78, and mLLON = 95°, find the measures of ZMON and ZLOM. L M N

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Q: In the diagram below, start overline, E, F, end overlineEF is parallel to start overline, B, C, end…

A: The objective of this question is to find the length of BE in a geometric figure where EF is…

Q: 14. Solve for x 110° (6x-2)° (&x-1)) (5r + 36) } (7x+19)³ 116³

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Q: Ezekiel has a stack of bricks weighing a total of 2561225612 pounds on his trailer. Each brick…

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Q: Find the equation of the line in the form ax+by+c=0 where ax, by and c are integers, which passes…

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Q: 9. If AC 19 cm on circle A below, what is the approximate length of BC to the nearest tenth? Use…

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Q: Find YZ X 10 2x+12 +3 Z

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Q: 3. Two circles are arranged inside an equilateral triangle as shown. If the triangle has sides 1 cm,…

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Q: Directions: If K is the incenter of ADEF, find each measure. 19. Find x. ju (17x-7) G D E 19° K H…

A: If K is the incenter of , then to find KI.

Q: 2. Construct the angle bisector of ZBOY. O B, Y

A: A angle is given BOY.

Q: What is the length of BC? B A X 6x - 10 # Y C Z 5x+7

A: we need to find out the length of the side BC.

Q: 3 m E 2√3 m What is the hexagon's area, rounded to the nearest tenth.

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Q: julie is 6 feet tall if she stands 15 feet from the flagpole and holds a cardboard square, the edges…

A: The objective of the question is to find the height of the flagpole using the concept of similar…

Q: 1. Determine whether WX is tangent to circle U at point W. Explain. W 21 cm 28 cm U Y X 14 cm Note:…

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Q: 2 3. Omar uses a sprinkler to water his yard. The sprinkler sprays water in a circle that has a…

A: The spring spays water in a circle that has a radius of 15 feet.He wants to avoid getting water on…

Q: 2. Find FD. 15 F3x-5 12 8 E D

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Q: segment AC is on a coordinate plane with point A (-3,6) and (-3,-4).if the rations AB:AC=2/3, what…

A: The rough figure

Q: 7. The circle below has two chords that intersect at point M. If mJK = (4x - 5)°, mHL = 97°, and…

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Q: Find the value of each variable. Simplify your answers as much as possible. If necessary, you may…

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Q: Find the length of GJH and JH in the circle below, where GJ is a diameter. Round to the nearest…

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Q: 2 8) In 3D, sketch the cylinder x² +₂²=4₂ and label, with their coordinates, it's in tercepts, with…

A: The given equation of cylinder is

Q: Write an equation in standard form using only integers for the line described. Use the smallest…

A: The equation of the line through the point (x1,y1) and with slope m is given byy - y1)

Q: Triangle ABC has side AC= 4 meters and angle BAC= 32º. Square ABDE shares a side with ABC and has…

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Q: Two 12-inch diameters in a circle meet at right angle What is the length of the one of the minor…

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Q: 13. Find the value of x.

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