New! Get regular updates about newly solved problems via algebra.com's RSS system.

Recent problems solved by 'cleomenius'

cleomenius answered: 959 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959, >>Next

Triangles/498732: the lenghts of the sides of a triangle are given. classify each triangle as acute, right or obtuse, 15,8,21
1 solutions

Answer 337212 by cleomenius(959) on 2011-09-16 08:52:17 (Show Source):

You can put this solution on YOUR website!
8^2 + 15^2 = 21^2
64 + 225 < 441
When c^2 < a^2 + b^2 , angle C is acute.
When c^2 > a^2 + b^2 , angle C is obtuse.
The triangle is obtuse.

Triangles/498737: find the value of x. triangle is 25 - 24 - x
1 solutions

Answer 337210 by cleomenius(959) on 2011-09-16 08:45:04 (Show Source):

You can put this solution on YOUR website!
We need more information.
Cleomenius

Triangles/498738: find the value of x. triangle is 20 - 16 - x
1 solutions

Answer 337209 by cleomenius(959) on 2011-09-16 08:44:24 (Show Source):

You can put this solution on YOUR website!
We need more information.
Cleomenius

Triangles/498739: the lengths of the sides of a triangle are given. classify each triangle as acute, right, or obtuse. 4,5,6
1 solutions

Answer 337208 by cleomenius(959) on 2011-09-16 08:39:24 (Show Source):

You can put this solution on YOUR website!
When c^2 < a^2 + b^2 , angle C is acute.
When c^2 > a^2 + b^2 , angle C is obtuse.
36 < 16 + 25.
The triangle is acute.

Triangles/498767: An isosceles triangle had two sides 8cm long. The base angles were 50o degrees. Another isosceles had two sides 4cm long with the angle in between 50o degrees. Are they congruent... yes or no?
1 solutions

Answer 337207 by cleomenius(959) on 2011-09-16 08:32:58 (Show Source):

You can put this solution on YOUR website!
No, they are similiar.
Cleomenius

Triangles/498792: the area of an equilateral triangle os 16 root 3m sq. find its perimeter ?
1 solutions

Answer 337206 by cleomenius(959) on 2011-09-16 08:28:51 (Show Source):

You can put this solution on YOUR website!
The area of an equilateral triangle is s^2 sqrt%283%29

/4.
64

= s^2

64 = s^2
8 = s
3(8) = 24 m
To check.
s^8 sqrt%283%29

/4 = 16

m sq.
Cleomenius.

Angles/498300: Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle? (Hint: Let 180 – x represent the supplement and 90 – x represent the complement.) How would I even begin writing this in a numeral sentence?
1 solutions

Answer 337204 by cleomenius(959) on 2011-09-16 08:00:10 (Show Source):

You can put this solution on YOUR website!
2(180 - x) + 39= 5(90 - x)
360 - 2x + 399 = 450 - 5x
3x = 51
x = 17 the angle
163 degrees = the supplement.
73 degrees = the complement.
2(163) = 326 + 39 = 365
5(73) = 365
This does check.
Cleomenius.

Angles/498829: the measures of two complementary angles are (3x+4) and (6x-4)what is the measure of each angle?
1 solutions

Answer 337202 by cleomenius(959) on 2011-09-16 07:50:35 (Show Source):

You can put this solution on YOUR website!
(3x + 4) + (6x - 4) = 90
9x = 90 degrees
x = 10 degrees
34 degrees + 56 degrees = 90 degrees.
this does check.
Cleomenius

Angles/498340: Angle A is 21 less than twice as large as its supplement, Angle B
1 solutions

Answer 337201 by cleomenius(959) on 2011-09-16 07:45:12 (Show Source):

You can put this solution on YOUR website!
3x + 21 = 180
3x = 159
x = 53 degrees, the smaller angle.
2(53) + 21 = 127 degrees
127 + 53 = 180 degrees.
this does check.
Cleomenius

Angles/498344: find the measure of angle 5x+3 and 3x-1 in terms of x?
1 solutions

Answer 337200 by cleomenius(959) on 2011-09-16 07:39:22 (Show Source):

You can put this solution on YOUR website!
We need more information.
Cleomenius

Angles/498362: An angle measures 12 degrees less than three times its supplement. Find the measure of the angle
1 solutions

Answer 337199 by cleomenius(959) on 2011-09-16 07:38:39 (Show Source):

You can put this solution on YOUR website!
4 + 12 + 3x = 180.
4x = 168
x = 42. The angle.
138 degrees the supplement.
3(42) + 12 = 138.
This does check.
Cleomenius.

Angles/498397: If
1 solutions

Answer 337198 by cleomenius(959) on 2011-09-16 07:34:42 (Show Source):

You can put this solution on YOUR website!
4x + x = 180 degrees.
5x = 180 degrees
x = 36 degrees, the smaller angle.
4(36) = 144 degrees = the larger angle.
This does check.
Cleomenius

Angles/498418: The measure of the supplement of an angle is 2 less than 3 times the complement of the angle. find the measures of all 3 angles.
1 solutions

Answer 337197 by cleomenius(959) on 2011-09-16 07:27:15 (Show Source):

You can put this solution on YOUR website!
180 - x + 2 = 3(90 - x)
182 - x = 270 - 3x
2x = 88
x = 44 degrees, the angle.
46 degrees = the complement.
136 degrees = the supplement.
3(46) - 2 - 136 degrees.
This does check.
Cleomenius.

Angles/498434: An angles measure is 3 times the measure of its compliment. find the measure of the angle and the measure of its compliment
1 solutions

Answer 337196 by cleomenius(959) on 2011-09-16 07:20:48 (Show Source):

You can put this solution on YOUR website!
x + 3x = 90
4x = 90
x = 22.5 degrees, the smaller angle.
3(22.5) = 67.5 degrees.
22.5 + 67.5 = 90 degrees.
Cleomenius.

Angles/498461: The measure of one angle is 24 degrees greater than the measure of its complement. What are the measures of the angles??
I can't make an equation. If i have an equation, I can probably take it from there.
thanks!
1 solutions

Answer 337194 by cleomenius(959) on 2011-09-16 07:17:55 (Show Source):

You can put this solution on YOUR website!
x + x + 24 = 90
2x = 66
x = 33 degrees, The smaller angle.
33 + 24 = 57, This is the larger angle.
57 + 33 = 90 degrees.
This does check.
Cleomenius.

Angles/498464: The measurements of two complementary angles are in a ratio of 8:7. Find the measure of the smaller angle
1 solutions

Answer 337193 by cleomenius(959) on 2011-09-16 07:13:37 (Show Source):

You can put this solution on YOUR website!
90/15 = 6
7*6 = 42 degrees
8*6 = 48 degrees.
48 + 42 = 90 degrees.
This does check.

Angles/498498: One of two complementary angles is 20 degrees larger than the other. Find the measure of each.
1 solutions

Answer 337192 by cleomenius(959) on 2011-09-16 07:10:03 (Show Source):

You can put this solution on YOUR website!
2x + 20 = 90
2x = 70
x = 35 degrees.
35 + 55 degrees = 90 degrees.
Cleomenius

Angles/498515: The measure of an angles supplement is 76 less than the measure of the angle. Find the measure of the angle and its supplement.
1 solutions

Answer 337191 by cleomenius(959) on 2011-09-16 07:08:13 (Show Source):

You can put this solution on YOUR website!
2x + 76 = 180
2x = 104
x = 52 degrees.
52 + 76 = 128 degrees.
52 + 128 = 180 degrees.
This does check.
Celomenius.

Angles/498528: Solve for "x" and finding the angle measures. the measure of angle AOB is 4x-1; measure of angle BOC is 2x+15; measue of angle 8x+8
Help ASAP!!!
1 solutions

Answer 337190 by cleomenius(959) on 2011-09-16 07:03:29 (Show Source):

You can put this solution on YOUR website!
What is the third angle?
Cleomenius

Angles/498648: . The m following:
a) supplement of b) complement of
1 solutions

Answer 337187 by cleomenius(959) on 2011-09-16 06:45:28 (Show Source):
You can put this solution on YOUR website!
The supplement of A is 115.9 degrees.
The complement of (4x -30 ) is 90 - (4x - 30)
Cleomenius

Angles/498618: When one-half the supplement of an angle is added to the complement of the angle, the sum is 120 Find the measure of the complement
1 solutions

Answer 337184 by cleomenius(959) on 2011-09-16 06:34:50 (Show Source):

You can put this solution on YOUR website!
1/2(180 - x) + (90 - x) = 120
90 - 1/2x + 90 - x = 120
60 = 1 1/2x
40 = x
The supplement is 140 degrees,
The complement is 50 degrees.
1/2(140) + 50 - 120.
This does check.
Cleomenius.

Angles/498755: 12degree less than one half the supplement of an angle is the same as the complement find the measure of the angle.
1 solutions

Answer 337182 by cleomenius(959) on 2011-09-16 06:27:03 (Show Source):

You can put this solution on YOUR website!
1/2(180 - x) - 12 = 90 - x
90 - 1/2x -12 = 90 - x
78 - 1/2x = 90 -x
1/2x = 12
x = 24
complement = 66 degrees
supplement = 156 degrees
156/2 - 78 - 12 = 56,
This does check.
Cleomenius.

Angles/498759: The m1 solutions

Answer 337180 by cleomenius(959) on 2011-09-16 06:16:52 (Show Source):

You can put this solution on YOUR website!
We need more information.
Thank You,
Cleomenius.

Rectangles/497721: The area of a rectangular garden is 108 square meters. The width is 3 meters longer than one-half the length. Find the length and the width of the garden.
1 solutions

Answer 336990 by cleomenius(959) on 2011-09-15 11:51:19 (Show Source):

You can put this solution on YOUR website!
length = 2x
width = x + 3
(2x)(x + 3)= 108
2x^2 + 6x - 108 = 0
2(x^2 + 3x - 54) = 0
2(x + 9)(x - 6) = 0
x = 6
length= 12 meters.
width = 1/2(12) + 3 = 9 meters.
9 * 12 = 108 meters.
This does check.
Cleomenius.

Rectangles/497788: the perimeter of a rectangle is 64 ft. the lenght is 8 ft less than 3 times the width. find the length and width
1 solutions

Answer 336987 by cleomenius(959) on 2011-09-15 11:35:37 (Show Source):

You can put this solution on YOUR website!
l = 3x - 8
w = x
2(3x - 8) + 2x = 64.
6x -16 + 2x = 64
8x = 80
x = 10 ft the width.
The length = 3(10) - 8 = 22 ft.
2(22) + 2(10) = 64 feet. This does check.
Cleomnenius.

Rectangles/497872: a rectangle and a square have the same width but the rectangle in 6m longer than the square. Their total area is 176 sq. m. Find the dimensions of each figure
1 solutions

Answer 336984 by cleomenius(959) on 2011-09-15 11:26:41 (Show Source):

You can put this solution on YOUR website!

The area of the square is x^2.
The area of the rectangle is (x)*(x+6)
x^2 + (x) *(x + 6) = 176
x^2 + x^2 + 6x = 176
2x^2 + 6x - 176
2(x + 3 - 88)
(x - 8)(x+ 11)
x = 8.
================================================
For the square, the area is:
8*8= 64 sq meters.
For the rectangle, the area is:
8*14 = 112 sq meters.
64 + 84 = 176 square meters. This does check.
Cleomenius.

Rectangles/498258: the area of a rectangle is the same as the area of a square with a side of 8 cm. if the length of the rectangle is 16 cm, what is its width in centimeters ?
1 solutions

Answer 336980 by cleomenius(959) on 2011-09-15 11:10:35 (Show Source):

You can put this solution on YOUR website!
The area of the square is s*s.
8 * 8 = 64 cm.
the area of the rectangle is LW.
64 = 16 * w
w = 4 cm
Cleomenius.

Rectangles/497930: A rectangle has a perimeter of 70. What is the 4 to 5 (length to width) ratio of this rectangle ?
1 solutions

Answer 336979 by cleomenius(959) on 2011-09-15 11:05:59 (Show Source):

You can put this solution on YOUR website!
70 + 2 = 35
35 * 4/9 = 15.56
35 * 5/9 = 19.44
15.56 + 19.44 = 35.
l = 15.56
w = 19.44
2(15.56) = 31.12
2(19.44) = 38.88
31.12 + 38.88 = 70
Cleomenius

Rectangles/497975: 5 cm more than the length of rectangle is less than equal to 44 cm greater than or equal to 20 cm. The width of the same rectangle is 10 cm. What is the positive difference between the maximum possible are of rectangle and least possible area of rectangle
1 solutions

Answer 336978 by cleomenius(959) on 2011-09-15 10:59:09 (Show Source):

You can put this solution on YOUR website!
Form the way I interpret this question, the length will range from 39 cm to 15 cm.
The width is constant at 10 cm.
The maximum area will be 39 * 10 or 390 cm.
The minimum area will be 15 * 10 cm or 150 cm.
So the difference will be 390 - 150 or 240 cm.
Cleomenius.

Rectangles/497995: Calculate the perimeter of a rectangle with a length of 15.5 cm and a width of 38.0 mm
1 solutions

Answer 336976 by cleomenius(959) on 2011-09-15 10:51:23 (Show Source):

You can put this solution on YOUR website!
2(15.5) = 30 cm
2(38) = 76 cm
30 + 76 = 106 cm
Cleomenius

Rectangles/498016: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 inch squares from each corner and folding up the sides. The box is to hold 100 in cubed. How big a piece of cardboard is needed.
1 solutions

Answer 336973 by cleomenius(959) on 2011-09-15 10:44:17 (Show Source):

You can put this solution on YOUR website!
The volume will be L*W*H
We are cutting 4 inches from each corner, so the length and width will each be
x - 8.
The height will be 4.
100 = 4* (x - 8)* (x - 8)
25 = (x - 8)^2
5 = x - 8
13 inches= x.
The piece of cardboard needed will be 13 by 13 inches.
Cleomenius.

See tutors' answers!

Recent problems solved by 'cleomenius'