Answers created by Somebody N.
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Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 130 square feet. How long can a side of his patio be?
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A triangle has corners at #(1, 6 )#, ( 1 , 2)#, and #( 7, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?
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A circle has a center that falls on the line #y = 3/7x +3 # and passes through # ( 2 ,8 )# and #(3 ,5 )#. What is the equation of the circle?
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Does Rover have enough roaming room? How much roaming room does Rover have? You must answer both questions. Write an explanation of how you got your answer. (Details Below)
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A triangle has corners at points A, B, and C. Side AB has a length of #27 #. The distance between the intersection of point A's angle bisector with side BC and point B is #9 #. If side AC has a length of #18 #, what is the length of side BC?
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A triangle has corners A, B, and C located at #(4 ,2 )#, #(1 ,3 )#, and #(6 ,5 )#, respectively. What are the endpoints and length of the altitude going through corner C?
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The measure of the interior angles of a quadrilateral are x°, 3x°, 5x°, and 7x°. Find the measures of all the interior angles.
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The coordinates of the centroid of a triangle are the arithmetic mean of the x and y coordinates of the vertices. How do you prove this?
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I choose a random integer #n# between #1# and #10# inclusive. What is the probability that for the #n# I chose, there exist no real solutions to the equation #x(x+5) = -n#? Express your answer as a common fraction.
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How to solve #log _{x}36+log _{18}3x = 3# ?
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Is there a formula for finding the orthocenter of a triangle from its coordinates?.
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An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the length of the top. The prism's height is # 16 #, the cap's height is #1 #, and the cap's radius is #5 #. What is the object's volume?
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An ellipsoid has radii with lengths of #3 #, #8 #, and #8 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?
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How do I find the perimeter of the triangle with the vertices (-2,2), (0,4), (1,-4)?
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A dress is marked down 40% from its original price of $38.00. What is the new cost of the dress?
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A hunter proudly said that he returned with 27 heads and 78 feet. If he brought back only ducks and rabbits, how many of each did he have?
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A right cone has a slant height of 6 and a radius of 4. What is the surface area?
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A line segment is bisected by a line with the equation # 4 y - 6 x = 8 #. If one end of the line segment is at #( 1 , 8 )#, where is the other end?
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What is the range of possible sizes for side xxx?
One Side is 8.5 the other is 8.0 whats the possible side for x?
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A plane 5 cm from the center of a sphere intersects the sphere in a circle a with diameter 24 cm. What is the diameter of the sphere?
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PLEASE help with one geometry question? this is the only one I don't understand!!!!!!
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Suppose that the population of a colony of bacteria increases exponentially. If the population at the start is 300 and 4 hours later it is 1800, how long (from the start) will it take for the population to reach 3000?
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A subway track must pass through a cylindrical tunnel. The tunnel is 6m in diameter. How wide should the track bed be so that the maximum height at the centre of the tracks is 4.5m? Express your answer to the nearest tenth of a metre.
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A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #120 #, what is the length of its longest diagonal?
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An object is made of a prism with a spherical cap on its square shaped top. The cap's base has a diameter equal to the lengths of the top. The prism's height is # 12 #, the cap's height is #4 #, and the cap's radius is #3 #. What is the object's volume?
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An ellipsoid has radii with lengths of #2 #, #2 #, and #3 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
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How do you find the area of a triangle from the co-ordinates of its vertices, without having to calculate the length of the triangles sides?
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A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. Six liters of red tint are added to the original mixture. What is the percent of red tint in the new mixture?
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How do you write #(5k^3)/k^-9# using only positive exponents?
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What is the factored form of #2x^3 + 4x^2 – x?#
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A triangle has corners at #(5 ,7 )#, #(2 ,1 )#, and #(1 ,4 )#. What is the area of the triangle's circumscribed circle?
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A line segment has endpoints at #(2 ,0 )# and #(2 ,1 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the x-axis, what will the line segment's new endpoints be?
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How to find the vertices of the image of #deltaPQR# having vertices #P(-1, 2), Q(-3, 5) & R(0, 4)# under the enlargement with scale factor -2 & centre at origin ?
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A rectangle has an area of #30# #cm^2#. It has a width of #5+2x# #cm# and a length of #2x+4# #cm#. What is the length and width?
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What is the area of a triangle that has sides 9 cm, 10 cm, and 13 cm?
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In triangle ABC, the measure of the exterior angle at point B is 100°. If angle A 17°, what is angle C?
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A line passes through #(2 ,8 )# and #(3 ,9 )#. A second line passes through #(7 ,4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
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On a piece of graph paper, plot the following points: A (0, 0), B (5, 0), and C (2, 4).
These coordinates will be the vertices of a triangle. Using the Midpoint Formula, what are the midpoints of the triangle's side, segments AB, BC, and CA?
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As a man walks away from a 12 foot lamppost, the tip of his shadow moves twice as fast as he does. What is the man's height?
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A triangle has corners at #(9 ,7 )#, #(2 ,5 )#, and #(5 ,4 )#. What is the area of the triangle's circumscribed circle?
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Is #x+1# a factor of #x^2-x^2-(2+√2)x+√2?#
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Two circles have the following equations: #(x +3 )^2+(y -5 )^2= 64 # and #(x -7 )^2+(y +2 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
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The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).
What is the perimeter of the polygon to the nearest tenth of a unit?
15.3 units
16.9 units
17.5 units
17.9 units
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A rectangle has an area of 90 cm22 and a perimeter of 46 cm. What are its dimensions?
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What is the complementary angle to 42°?
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The diameter for the smaller semicircle is #2r#, find the expression for the shaded area? Now let the diameter of the larger semicircle be 5 calculate the area of the shaded area?
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Help for circle geometry question?!
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Circle Geometry Question?
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A firework shell is fired from a mortar on the ground. Its hight is modeled by the function h=-16t^2+224t, where h is the height in feet and t is the time in seconds. If the shell does not explode, how long will it take for it to reach the ground?
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You are designing a container in the shape of a cylinder. The radius is 5 inches. You want the container to hold at least 725π cubic inches. What is the least possible height of the container?
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The base of a triangle is x feet and its height is 3 more than twice the base. If the area of the triangle is 126 square feet, what are the dimensions of the triangle?
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What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(9 ,5 )#, and #(5 ,6 )#?
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Please solve q 137?
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A triangle has corners at #(5 , 2 )#, #(2 ,3 )#, and #(3 ,4 )#. What is the radius of the triangle's inscribed circle?
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An ellipsoid has radii with lengths of #3 #, #3 #, and #2 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?
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#y# varies inversely with #x#, and #x=4.5# when #y=2.4#. What is the value of #x# when the value of #y=4.32#?
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Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y = 2. ?
Description
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Find the equation of the circle which touches the x-axis at a distance of +5 unit from the origin and cuts off an intercept of length 24 unit from the y-axis?
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Standard equation of a circle which has a diameter with endpoints (9/2,4) and (-3/2,-2)?
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What is the standard equation whose center at (-3,2) and tangent to the line 2x-3y=1?
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A triangle has corners at #(1 ,9 )#, #(7 ,8 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin?
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The area of the rectangle is 36cm^2. What are the dimensions. Width: x-5, length: x?
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An oblique circular cylinder has height #5# and volume #45pi#. What is the radius of the circular base?
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What is the value of n?
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The base of an isosceles triangle is 3 cm longer than the equal sides, and 6 cm longer than the height of the triangle. Find the length of the triangle's base?
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Delisa is designing a website that will be viewable on all devices. she has a picture 15 centimeters wide on a computer. The diagonal of Delisa's computer monitor is 21 inches and Delisa's tablet is 9.9 inches. how wide is the image on the tablet?
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A triangle has corners at #(3, 7 )#, ( 5, 1)#, and #( 6, 3)#. If the triangle is reflected across the x-axis, what will its new centroid be?
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Can someone help me solve for angle BOC and angle BOA?
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What is the height of each pole?
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A circle's center is at #(9 ,3 )# and it passes through #(2 ,6 )#. What is the length of an arc covering #(2pi ) /3 # radians on the circle?
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As diameter of a circle increase,area also increase or not?
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A regular polygon has angles of size 150 degrees each. How many sides has the polygon?
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In a right angled triangle on of the acute angles is 20•(degrees) greater than the other. What are the angles of the triangle?
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Line XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image line X'Y' . If the slope and length of XY are # m # and #l# respectively, what is the slope of X'Y' ?
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Can two obtuse angles be supplementary?
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How do you find the hypotenuse of a isosceles right triangle?
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What is the perimeter of a triangle with corners at #(3 ,4 )#, #(6 ,7 )#, and #(4 ,5 )#?
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The length of a tangent, drawn from a point A to a circle, is #4/3# of the radius r. What is the shortest distance from A to the circle ?
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The volume of a cube with sides of length #s# is given by #V =s^3#. What is the rate of change of the volume with respect to #s# when # s# is 6 centimeters?
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How many sides do these regular
Polygons have if their interior is 30?
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In isosceles triangle ABC, AB=AC; a circle drawn taking AB as diameter meets the side BC at the point D. IF BD=4cm,let us find the value of CD?
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A triangle has corners at #(4, 5 )#, #( 2, 3 )#, and #(2 , 2 )#. If the triangle is dilated by # 4 x# around #(0, 1)#, what will the new coordinates of its corners be?
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A cone has a height of #12 cm# and its base has a radius of #2 cm#. If the cone is horizontally cut into two segments #7 cm# from the base, what would the surface area of the bottom segment be?
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Can an acute isosceles triangle have 2 angles that measure 40 degrees?
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A segment with endpoints (5,8) and (-6,8) is rotated around the origin. How long will the new segment be?
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The supplement of an angle is 5 times as large as the angle. How do you find the number of degrees in the angle?
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A triangle has corners at #(5 ,6 )#, #(4 ,3 )#, and #(2 ,5 )#. What is the area of the triangle's circumscribed circle?
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The sides triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of perimeter of the smaller triangle to the perimeter of the larger triangle?
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A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,5 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move?
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The coordinates of the endpoints of a diameter of a circle are (-5,3) and (3,-4).
What is the:
i. equation of the circle?
ii. length of the diameter?
iii. equation of the diameter?
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This figure shows △LMN . NZ¯¯¯¯¯¯ is the angle bisector of ∠LNM .
What is LZ ?
Enter your answer, as a fraction, in the box.
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Simplify the radical expression sqrt3 + 4sqrt3?
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What is the circumference of a circle with radius of 30 inches?
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What is the equation of the circle with a center at #(-1 ,-1 )# and a radius of #8 #?
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Please solve q 115 ?
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Please solve q 121 ?
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Please solve q 118 ?
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A triangle has corners at #(2 , 5 )#, #(4 ,8 )#, and #(9 ,6 )#. What is the radius of the triangle's inscribed circle?
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In circle O, angle measure of POV and angle measure of SOR are supplementary
- if the measure of angle SOR = 3X, the measure of angle POV = 2x+ 80, and the measure of POS = 5x+10, find the measures of each of the following?
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Two angles are supplementary. One angle is 5 degrees less than four times the other. What are the measures of the angles?
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