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mathematics
holt mcdougal larson geometry
Holt McDougal Larson Geometry 1st Edition Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff - Solutions
Find the probability that a randomly chosen point in the figure lies in the region described.In the blue region DOT 10 -10-
Name the five Platonic solids and give the number of faces for each.
In Exercises 16-19, find the probability that a point chosen at random on the segment satisfies the inequality. 3x ≤ 27
In Exercises 3-6, find the probability that a point K, selected randomly on AE, is on the given segment. Express your answer as a fraction, decimal, and percent. AE
In Exercises 3-6, find the probability that a point K, selected randomly on AE, is on the given segment. Express your answer as a fraction, decimal, and percent. DE
In Exercises 3-6, find the probability that a point K, selected randomly on AE, is on the given segment. Express your answer as a fraction, decimal, and percent. BC
In Exercises 3-6, find the probability that a point K, selected randomly on AE, is on the given segment. Express your answer as a fraction, decimal, and percent. AD
Find the probability that a randomly chosen point in the figure lies in the shaded region. V2, 2
Find the probability that a randomly chosen point in the figure lies in the shaded region. 14 6 12
Find the probability that a randomly chosen point in the figure lies in the shaded region. -20- 8 5
Three sides of the rectangle are tangent to the semicircle. Describe and correct the error in finding the probability that a randomly chosen point in the figure lies in the shaded region. 10 7 10(7) - (5)² 10(7) x 70-12.5 43.9% 70
In Exercises 16-19, find the probability that a point chosen at random on the segment satisfies the inequality. 1 ≤ 2x - 3≤ 5
Use the scale drawing.Find the probability that a randomly chosen location on the island lies on the north side. N WE S
Copy and complete: If an event cannot occur, its probability is _?_. If an event is certain to occur, its probability is _?_.
In Exercises 16-19, find the probability that a point chosen at random on the segment satisfies the inequality. x-6≤1
In Exercises 16-19, find the probability that a point chosen at random on the segment satisfies the inequality. IV 7
Use the scale drawing.What is the approximate area of the north side of the island? the south side of the island? the whole island? N WE S
A point X is chosen at random in region U, and U includes region A. What is the probability that X is not in A? U A
Compare a geometric probability and a probability found by dividing the number of favorable outcomes by the total number of possible outcomes.
Use the scale drawing.Find the probability that a randomly chosen location on the island lies on the south side. C N WE S
Find the probability that a randomly chosen point in the figure lies in the shaded region. Explain your steps. 8-
Find the probability that a randomly chosen point in the figure lies in the shaded region. Explain your steps. V13, 7 5 3 3
Find the probability that a randomly chosen point in the figure lies in the shaded region. Explain your steps. 14 8 12
A dart is thrown and hits the target shown. If the dart is equally likely to hit any point on the target, what is the probability that it hits inside the inner square? that it hits outside the inner square but inside the circle? 6 in. 18 in
Scientists lost contact with the space probe Beagle 2 when it was landing on Mars in 2003. They have been unable to locate it since. Early in the search, some scientists thought that it was possible, though unlikely, that Beagle had landed in a circular crater inside the planned landing region. The
A fair provides a shuttle bus from a parking lot to the fair entrance. Buses arrive at the parking lot every 10 minutes. They wait for 4 minutes while passengers get on and get off. Then the buses depart.a. What is the probability that there is a bus waiting when a passenger arrives at a random
A sector of a circle intercepts an arc of 80°. Find the probability that a randomly chosen point on the circle lies on the arc. Find the probability that a randomly chosen point in the circle lies in the sector. Explain why the probabilities do not depend on the radius.
Find the probability that a randomly chosen point in the circle described lies in the inscribed polygon.Regular hexagon inscribed in circle with circumference C ≈ 188.5
Find the probability that a randomly chosen point in the circle described lies in the inscribed polygon.Regular octagon inscribed in circle with radius r.
You carry out a series of steps to paint a walking stick. In the first step, you paint half the length of the stick. For each following step, you paint half of the remaining unpainted portion of the stick. After n steps, you choose a point at random on the stick. Find a value of n so that the
Suppose that your school day is from 8:00 A.M. until 3:00 P.M. You eat lunch at 12:00 P.M. If there is a fire drill at a random time during the day, what is the probability that it begins before lunch?
You are expecting a call from a friend anytime between 7:00 P.M. and 8:00 P.M. You are practicing the drums and cannot hear the phone from 6:55 P.M. to 7:10 P.M. What is the probability that you missed your friend's call?
If the central angle of a sector of a circle stays the same and the radius of the circle doubles, what can you conclude about the probability of a randomly selected point being in the sector? Explain. Include an example with your explanation.
A 6 inch long rope is cut into two pieces at a random point. Find the probability both pieces are at least 1 inch long.
Use the diagram to find the indicated measure. Find the circumference. 6 in.
In Exercises 1-4, use the diagram shown.What is the radius of the polygon? G- A E 5.5 8 6.8 F B D C
Find the exact area of a circle with the given radius r or diameter d. Then find the area to the nearest hundredth. r = 5 in.
Use the diagram to find the indicated measure. Find the circumference. 17 cm
In Exercises 1-4, use the diagram shown.What is the apothem? G A E 8 5.5 F 6.8 B D C
Find the exact area of a circle with the given radius r or diameter d. Then find the area to the nearest hundredth. d = 16 ft
Use the diagram to find the indicated measure. Find the radius. C = 63 ft
Use the diagram to find the indicated measure. Find the area of OM. L M10 165° K A = 38.51 m²
Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. 18 sides
Find the exact area of a circle with the given radius r or diameter d. Then find the area to the nearest hundredth. d = 23 cm
Find the exact area of a circle with the given radius r or diameter d. Then find the area to the nearest hundredth. r = 1.5 km
Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. 10 sides
Suppose you double the arc measure of a sector in a given circle. Will the area of the sector also be doubled? Explain.
Find the circumference of the red circle. 0 14
Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. 24 sides
Find the given angle measure for the regular octagon shown. m/GJH
In the diagram at the right, the area of ⊙Z is 48 square feet. A student writes a proportion to find the area of sector XZY. Describe and correct the error in writing the proportion. Then find the area of sector XZY. W X Z 75⁰ Y Let n be the area of sector XZY. n 360° = 48 285⁰ x
Find the circumference of the red circle. + -10-
Find the circumference of the red circle. 32,
Explain how to find the measure of a central angle of a regular polygon with n sides.
Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. 7 sides
Find the areas of the sectors formed by ∠DFE. G 10 in., F E 60° D
Find the given angle measure for the regular octagon shown. mL GJK
Find the given angle measure for the regular octagon shown. m2 KGJ
Find the given angle measure for the regular octagon shown. mL EJH
In Exercises 7-9, find the indicated measure.The area of a circle is 154 square meters. Find the radius.
In Exercises 7-9, find the indicated measure.The area of a circle is 380 square inches. Find the radius.
Find the areas of the sectors formed by ∠DFE. E D F 14 cm G 256°
Find the areas of the sectors formed by ∠DFE. D G 137° F 28 m E
In Exercises 7-9, find the indicated measure.The area of a circle is 676π square centimeters. Find the diameter.
In ⊙P shown at the right, ∠QPR ≅ ∠RPS. Find the indicated measure. Length of QRS
Use the diagram to find the indicated measure. Find the area of OM. K 50° M A = 56.87 cm² L
In ⊙P shown at the right, ∠QPR ≅ ∠RPS. Find the indicated measure. mQRS
In ⊙P shown at the right, ∠QPR ≅ ∠RPS. Find the indicated measure. mRSQ
Use the diagram to find the indicated measure. Find the radius of OM. 89°A = 12.36 m² K M89⁰
Find the area of the regular polygon. 2√3 12
The diagram shows the shape of a putting green at a miniature golf course. One part of the green is a sector of a circle. To the nearest square foot, what is the area of the putting green? 3.5 ft 3.5 ft 7 ft 3.5 ft
Find the area of the regular polygon. 2.5 2.77
Find the area of the regular polygon. 10 6.84
In ⊙P shown at the right, ∠QPR ≅ ∠RPS. Find the indicated measure. Length of QR
Describe and correct the error in finding the area of the regular hexagon. V152 – 132 ≈ 7.5 A = 1a •r ns A = 1/(13)(6)(7.5) = 292.5 13 15 x
Find the perimeter and area of the regular polygon. 20
The area of ⊙M is 260.67 square inches. The area of sector KML is 42 square inches. Find the indicated measure. Radius of OM
Which expression gives the apothem for a regular dodecagon with side length 8? A a = 4 tan 30° B a = 4 tan 15° Ca= 8 tan 15° D a= 8 cos 15°
A student says that two arcs from different circles have the same arc length if their central angles have the same measure. Explain the error in the student's reasoning.
In ⊙P shown at the right, ∠QPR ≅ ∠RPS. Find the indicated measure. Length of RSQ
The area of ⊙M is 260.67 square inches. The area of sector KML is 42 square inches. Find the indicated measure. Circumference of OM
Find the perimeter and area of the regular polygon. 4.1
The area of ⊙M is 260.67 square inches. The area of sector KML is 42 square inches. Find the indicated measure. Length of KL
The area of ⊙M is 260.67 square inches. The area of sector KML is 42 square inches. Find the indicated measure. mKL
Find the perimeter and area of the regular polygon. 9
The area of ⊙M is 260.67 square inches. The area of sector KML is 42 square inches. Find the indicated measure. Perimeter of red region
Find the perimeter of the shaded region. 13 6
Find the perimeter of the shaded region. 3 6 6 3
The area of ⊙M is 260.67 square inches. The area of sector KML is 42 square inches. Find the indicated measure.Perimeter of blue region N M K L
The equation of a circle is given. Find the circumference of the circle. Write the circumference in terms of π. (x + 2)² + (y - 3)² = 9
The equation of a circle is given. Find the circumference of the circle. Write the circumference in terms of π. 81 = ₂ + ₂x
In the table below, AB refers to the arc of a circle. Copy and complete the table. Radius mAB Length of AB ? 45° 4 2 60° ? 0.8 ? 0.3 4.2 183° ? ? 90° 3.22 4√2 ? 2.86
The perimeter of a regular nonagon is 18 inches. Is that enough information to find the area? If so, find the area and explain your steps. If not, explain why not.
In the diagram, the measure of the shaded red angle is 30°. The arc length a is 2. Explain how to find the circumference of the blue circle without finding the radius of either the red or the blue circles. 2r r a
In the diagram at the right, ⊙Q and ⊙P are tangent, and P lies on ⊙Q. The measure of RS is 108°. Find the area of the red region, the area of the blue region, and the area of the yellow region. Leave your answers in terms of π. R P 4 Q S
A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk, then measure the length of rope needed to wrap one time around the trunk. This length is 21 feet 8 inches. Explain how they can use this length to estimate the
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the exact area of the shaded regions in the figure. Then find the approximate area of the entire shaded region, rounded to the nearest whole unit. 8
The equation of a circle is given. Find the circumference of the circle. Write the circumference in terms of π.x2 + y2 = 16
In the diagram at the right, FG and EH are arcs of concentric circles, and EF and GH lie on radii of the larger circle. Find the area of the shaded region. E 8 m F 10 m 30 m G 8m H
Find the area of a regular pentagon inscribed in a circle whose equation is given by (x - 4)2 + (y + 2)2 = 25.
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