Tutors Answer Your Questions about Pythagorean-theorem (FREE)
Question 1209579: In the diagram, $ABCD$ is a square. Find $PR.$
[asy]
unitsize(1.5 cm);
pair A, B, C, D, P, R;
A = (-1,1);
B = (1,1);
C = (1,-1);
D = (-1,-1);
P = (0,1) + dir(50);
R = -P;
draw(A--B--C--D--cycle);
draw(A--P--B);
draw(C--R--D);
label("$A$", A, W);
label("$B$", B, dir(0));
label("$C$", C, dir(0));
label("$D$", D, W);
label("$P$", P, N);
label("$R$", R, S);
label("$4$", (B + P)/2, NE, red);
label("$8$", (A + P)/2, NW, red);
label("$4 \sqrt{5}$", (A + B)/2, S, red);
label("$4$", (D + R)/2, SW, red);
label("$8$", (C + R)/2, SE, red);
label("$4 \sqrt{5}$", (C + D)/2, N, red);
[/asy]
AB=BC=CD=DA=4sqrt5
PA=CR=8
PB=RD=4
Click here to see answer by ikleyn(52778)   |
Question 1207407: How many right triangles have a hypotenuse that measures 4x + 5 inches and legs that measure 3x + 13 inches and x inches? What are the dimensions of the triangle(s)?
Let me see.
I must use a^2 + b^2 = c^2.
Yes?
My set up:
(3x + 13)^2 + x^2 = (4x + 5)^2
If this is correct, what does the value of x represent in this case?
Click here to see answer by math_tutor2020(3816) |
Question 1008558: A farmer's conveyor belt carries hay bales from the ground to the barn loft which is 12 ft from the ground. The conveyor rises at a 60 degree angle. a.)If the bales are moving at a 10 ft/min, how many minutes does it take for them to make it to the loft? b.) how far from the barn does the conveyor belt begin?
Click here to see answer by mananth(16946)  |
Question 1206358: A painter leans a 26-foot extension ladder against a building, with the
base 10 feet away from a 24-foot wall. The person using the ladder
feels unsafe and moves the base of the ladder 3 feet closer to the wall.
How much shorter will the ladder need to be to reach the same height
on the wall? Round to the nearest foot, if necessary.
Ⓐ 1 foot
Ⓑ 3 feet
Ⓒ 22 feet
Ⓓ 23 feet
Click here to see answer by mananth(16946) |
Question 1206046: Abigail's bedroom is rectangular. The length of one wall of Abigail's bedroom is 6 meters. The length from one corner of the bedroom to the diagonally opposite corner is 7 meters. What is the length of the other wall? If necessary, round to the nearest tenth.
Click here to see answer by Edwin McCravy(20054)  |
Question 1204687: Connor's school is due west of his house and due south of his friend Dylan's house. The distance between the school and Dylan's house is 8 kilometers and the straight-line distance between Connor's house and Dylan's house is 10 kilometers. How far is Connor's house from school?
Click here to see answer by MathLover1(20849)  |
Question 1204257: From a second-storey window directly across the street, the angle of elevation of the top of an office building in Makati is 57° 20' and the angle of depression of the base is 18° 10'. If the buildings are 38 m. apart, what is the height of the building?
Click here to see answer by math_tutor2020(3816) |
Question 1204257: From a second-storey window directly across the street, the angle of elevation of the top of an office building in Makati is 57° 20' and the angle of depression of the base is 18° 10'. If the buildings are 38 m. apart, what is the height of the building?
Click here to see answer by ikleyn(52778) |
Question 1202538: Ella's computer monitor has a 20-inch screen, which means that the length of the diagonal of the screen is 20 inches. There is a 1-inch margin along the four sides of the screen.
The monitor can be laid flat so that it just fits into a box that is 11 inches wide. How long is the box?
Click here to see answer by ikleyn(52778) |
Question 1202538: Ella's computer monitor has a 20-inch screen, which means that the length of the diagonal of the screen is 20 inches. There is a 1-inch margin along the four sides of the screen.
The monitor can be laid flat so that it just fits into a box that is 11 inches wide. How long is the box?
Click here to see answer by josgarithmetic(39617) |
Question 1202539: As part of the new year celebrations, the town council decorated the street with banners hung across the tops of buildings. A section of the main street has two buildings 24 meters apart. The heights of the buildings are 13 meters and 20 meters. If the banners are hung tautly, what is the length, in meters, of the shortest banner joining the tops of these Iwo buildings? Write your answer in the space below.
Click here to see answer by mananth(16946) |
Question 1079272: Mr chen deposit a certain sum of money in a bank in the interest rate of the bank decreases from 3.75% per annum to 3.5% per annum. Mr chen's interest will decrease by $50 in a year. find the sum of money he deposites
Click here to see answer by mananth(16946) |
Question 1114725: Find the length of the missing side of this figure. Leave your response to that command in the simplest radical form your response to that command can be.
There is an image involved in that command.
Go to here to see that image: https://www.connexus.com/content/media/226250-732012-93646-AM-1889155643.png
If you go to Connexus, it will tell you that you must log in to view content that is there.
Log in to Connexus using ZacharyBarringer1 as a username and Zachary98 as a password.
A) 25
B) 144
C) 5
D) Square root 5
Click here to see answer by mananth(16946) |
Question 1200949: Luna takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut she makes is 10 inches long and the width of the paper is 9 inches. What is the paper's length? If necessary, round to the nearest tenth.
Click here to see answer by ikleyn(52778) |
Question 1200951: From her home, Ling would have to walk due north to get to her friend Allie's house and due east to get to her friend Reid's house. It is 5 miles from Ling's house to Reid's house and a straight-line distance of 7 miles from Allie's house to Reid's house. How far is Ling's house from Allie's house? If necessary, round to the nearest tenth.
Click here to see answer by ikleyn(52778) |
Question 1200948: Mandy is mountain climbing with Erin and has just climbed an 18-meter vertical rock face. Erin is standing at the bottom of the cliff, looking up at Mandy. If Erin is 30 meters away from Mandy, how far away from the cliff is Erin standing?
Click here to see answer by ikleyn(52778) |
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