Name: Dortius PartyDate 2-8-22Topic: Pythegorean Theorem Word Problems - Worksheet 11. Officer Ron drove his police car 30 km east and then 250 kmsouth. How far is he from his starting point?2. Using the Pythagorean Theorem, find the area of an equilateraltriangle whose side measures 7 units. Find the area to the nearesttenth of a square unit.3. If the legs of an isosceles right triangle are 10 inches long, approximate the length ofthe hypotenuse to the nearest whole number4. Tom rides his bike 35km north and then 450 km east. How far is he from his startingpoint?5. If a leg of a triangle is 30 ft long, and another leg is 58 ft long, what is the length ofthe hypotenuse?6. A pool is in the shape of a square of sides 57 feet. What is its hypotenuse?7. If a side of a triangle is 20 ft long, and another side is 43 ft long, what is the lengthof the hypotenuse?8. Town A is 14 miles from town B, and 20 mniles from town C. Town A, B and C areforming a right triangle at A. A road connects towns B and C directly. Find the lengththis road.9. Find the height of an equilateral triangle whose side measures 56 cm.10. A box is in the shape of a square of sides 32 cm. What is its hypotenuse?Tons of Free Math Worksheets at: www.mathworksheetsland.com

Answered: Image /qna-images/answer/52c6565a-f13c-46ca-a4bf-bccbeca11bc0.jpg

Answered: 7. Officer Ron drove his police car 30…

Math

Geometry

7. Officer Ron drove his police car 30 km east and then 250 km south. How far is he from his starting point?

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter9: Roots And Radicals

Section9.4: Multiply Square Roots

Problem 311E: An artist wants to make a small monument in the shape of a square base topped by a right triangle,...

See similar textbooks

Related questions

Q: Who make more Jamie or Jessica and how much more?

A: Provided information is, Jessica makes median salary for an Actuary and Jamie makes first quartile…

Q: 3. The square is circumscribed by a circle. If the area of the square is 25 square centimeters, find…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. A rod is divided into ratio 1:3:5:6. If the 2nd to the shortest part is 35, find the length of…

Q: 4. If a car is traveling at 43.0 miles per hour, contains 3 gallons of gas, and gets 22.5 miles per…

Q: is the area of water tha

Q: Solve the liner e.ausiltion

A: Given that: dydx+3yx+2=3x, y(1)=1

Q: 6. How many posts does it take to support a straight fence 200 yards long if a post is placed every…

A: Given: The length of the fence is 200 yard The post is at a difference of 20 yards.

Q: John is taller than pam, david is taller than john,who is the tallest?

Q: Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a…

A: Given that : The signal from B arrives 0.0004 seconds before the signal from A So the difference is…

Q: A ship left shore and sailed 240 km east, turned due north, then sailed another 70 km. How many km…

Q: A donut store sells packages store have for sale?

A: Introduction: A function is a method or a relationship that connects each member 'a' of a non-empty…

Q: a. If the side length of a square increases from 3 inches to 7 inches, the square's perimeter: i.…

A: as there are multiple questions so i answered only first one. a. if the side length of a square…

Q: 9.) What is the distance between an airplane flying at 120 feet above sea level and a turtle…

Q: PREDICT The ratio of hardbacks to paperbacks in the school library was 5 to 2. If there were 600…

A: See answer in Step 2

Q: A room has a width of 14.1 feet, a length of 15.5 feet, and a ceiling height of 12.0 ft. You plan to…

A: We know that 1 feet = 0.3048 meter. Also 1 sq feet = 0.092903 sq meter.

Q: A 2. Wrapping paper costs $0.035 per square inch. If a moving box that is an 10 inch cube is being…

A: First find out the total surface area of the box than multiply with paper cost per square inch.

Q: Solve by the method of your choice:In how many ways can five airplanes line up for departure on a…

A: There are 5 different airplanes and 5 runways.

Q: Solve by the method of your choice: In how many ways can five airplanes line up for departure on a…

A: We have to find the ways for five airplanes line up for departure on a runway. There are five…

Q: 2. The ratio of the number of boys to the number of girls in a school of 720 students is 3 : 5. If…

A: Given, Total students = 720 No. of BoysNo. of Girls=35

Q: a) How many different trains can be built with a length of 10 units?

A: (a) Number of trains built with a length of 10 units is

Q: 14. A Canadian football field is 110 yards long and an American football field is 100 yards long.…

A: As per guidelines we can solve only one question at a time. If you need more answers kindly repost…

Q: 1. If 1 less than a number is divided by 5 less than twice the number, 21 the result is 39 What is…

A: Let the number be x

Q: How many sides does a polygon have if the sum of the measures of the interior angles of a polygon…

Q: If a 25-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree…

A: let the angle at which sun rays are coming be θ.h=25mb=50mtanθ=bh=2.similarly for the tree b=? h=30…

Q: 1/5 of tom's height is equal to 1/3 of jerry's height. If their total height is 320 centimeters,…

A: Given: 1/5 of tom's height is equal to 1/3 of jerry's height. If their total height is 320…

Q: Suppose that College A has four-fifths the enrollment of College B. (i) If College B has 2000…

Q: ABC pharmacy buys covid 19 self test kid for $250 per box which containts 50 units. find the…

A: Given that, the markup rate=40%=40100=0.4 The price of sanitizer $250 per box, The box coining 50…

Q: 1. Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance…

A: This question belongs to area of rectangle.first we find the area of dance floor then divide it by…

Q: Recommend a new playground shape and size that would fit Clifton's budget and hold at least 3 times…

Q: 11. How much would it cost for the gold to cover the exterior of the City Hall's dome in gold leaf,…

Q: If the length of the radius and the height of a right circular cylinder are both tripled to form a…

Q: 9. Which is longer a 2-mile race or a 10,000 ft race?

A: 2 Miles = 10,560 Feet

Q: Construct the following. 1. A square whose side equal to 2.3 cm. 2 A rectangle whose length is equal…

Q: A taxi driver charged $2.40 for the first kilometer and $0.30 for every 12 km of part thereof. How…

Q: 2. The total length of two ribbons is 13 meters. If one ribbon is 7- meters long, what is the length…

Q: If there are 5,280 feet in a mile and 3,600 seconds in an hour, then a speed of 26 feet per second…

A: Given information: 1 mile=5280 feet1 hour=3600 seconds

Q: A denim shirt at a certain factory requires 2 and one fifth yards of material. How many shirts can…

A: Given, A denim shirt at a certain factory requires 2 and one fifth yards of material.

Q: If the radius of a circle is twice the radius of another circle, then find the ratio of the areas of…

A: Proceed as shown below...

Q: 1 quart 3 cups is equal to

A: Question 16. Note that 1 ounce is equal to 28.3495 grams. Therefore, 30 ounce is equal to…

Q: How many drivers would you expect to have speeds between 170.4 mph and 177.0 mph ? Show all work.

A: The mean is 184.4 mph and the standard deviation is 7.2 mph.

Q: 2. 3. The price per kilogram of rice and the number of kilograms of rice to buy with P 500.

A: 3) For the given statement

Q: a. lose exactly 430 bags next week? b. lose at most 420 bags next week? c. lose more than 450 bags…

A: here mean = 427 bags standard deviation = 35 bags x = no of bag lost in next week

Q: According to modern science, Earth is about 4.5 billion years old and written human history extends…

A: the entire history of Earth is represented with a 10-meter-long timeline, with the birth of Earth…

Q: 4. How many posts does it take to support a fence around a square field measuring 200 meters on a…

A: Here the objective is to find the number of posts required to support a fence around a square field.

Q: Ss-ruwq-eks 75° (3x+5)° Submit An:

A: The sum of the three angles of any triangle is equal to 180 degrees.

Q: 3. How many posts does it take to support a straight fence 200 meters long if a post is placed every…

A: Given Data: 200 meters long if a post is placed every 20 meters? To find: How many posts does it…

Q: 10 Sam is standing next to the Pembroke office buildings in Town Center in Virginia Beach. He is 6…

A: Given that, SAm is standing next to the pernbroke office building in Towncenter in virginia beach .…

Q: 1. A bamboo is 262 meters long. If it is cut into 12 pieces, how long will each piece be?

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 22. Find the length and width of a rectangle whose perimeter is 21 meters and whose area is 20…

Q: -3t VE dt ? 7laplare Ganno

A: The Laplace of the function (value) cannot be determined as it is not in the proper form. I am…

Question

Name: Dortius Party
Date 2-8-22
Topic: Pythegorean Theorem Word Problems - Worksheet 1
1. Officer Ron drove his police car 30 km east and then 250 km
south. How far is he from his starting point?
2. Using the Pythagorean Theorem, find the area of an equilateral
triangle whose side measures 7 units. Find the area to the nearest
tenth of a square unit.
3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number
4. Tom rides his bike 35km north and then 450 km east. How far is he from his starting
point?
5. If a leg of a triangle is 30 ft long, and another leg is 58 ft long, what is the length of
the hypotenuse?
6. A pool is in the shape of a square of sides 57 feet. What is its hypotenuse?
7. If a side of a triangle is 20 ft long, and another side is 43 ft long, what is the length
of the hypotenuse?
8. Town A is 14 miles from town B, and 20 mniles from town C. Town A, B and C are
forming a right triangle at A. A road connects towns B and C directly. Find the length
this road.
9. Find the height of an equilateral triangle whose side measures 56 cm.
10. A box is in the shape of a square of sides 32 cm. What is its hypotenuse?
Tons of Free Math Worksheets at: www.mathworksheetsland.com

Expert Solution

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Given: In Figure 39-12, s is the length of a side of a hexagon, r isthe radius of the inside circle, and R is the radius of the outside circle. a. What is the length of r if r equals the product of 0.866 and the length of a side of the hexagon? b. What is the length of R if R equals the product of 1.155 and the radius of the inside circle? c. What is the area of the hexagon if the area equals the product of 2.598 and the square of the radius of the outside circle?
An artist wants to make a small monument in the shape of a square base topped by a right triangle, as shown below. The square base will be adjacent to one leg of the triangle. The other leg of the triangle will measure 2 feet and the hypotenuse will be 5 feet. (a) Use the Pythagorean Theorem to find the length of a side of the square base. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the face of the square base.
Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.
A landscaper wants to put a square reflecting pool next to a triangular deck, as shown below. The triangular deck is a right triangle, with legs of length 9 feet and 11 feet, and the pool will be adjacent to the hypotenuse. (a) Use the Pythagorean Theorem to find the length of a side of the pool. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the pool.
In the illustration, point M is the midpoint of the hypotenuse of right triangle AOB. Show that the area of rectangle OLMN is one-half of the area of triangle AOB.
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
Circle O has a diameter of length 20cm. Chord AB has length 12cm, and chord CD has length 10cm. How much closer is AB than CD to point O?
A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?