the diameter of one sphere is three times that of another .what is the ratio of their areas and thier volumes

Q: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is…

A: We have to solve given problem: ConceptArea of triangle=1/2 * base * heightLet base of the triangle…

Q: The area of a rectangle is 35 yd", and the length of the rectangle is 3 yd more than twice the…

A: See solution below

Q: The length of a rectangle is 8 yd less than three times the width, and the area of the rectangle is…

A: Let the length be l and the width be w Given that the length is 8 yd less than 3 times the width,…

Q: The ratio of two numbers is 5 to 12 and the sum of their squares is 676. Find the numbers.

A: Let us consider the numbers are x and y.Since given the ratio of two numbers are 5 to 12, which is…

Q: The length of a rectangle is 5 yd more than twice the width, and the area of the rectangle is 42…

A: Given that  The length of the rectangle is 5yd more then the twice the width  Area of the rectangle…

Q: The length of a rectangle is  3 m  less than double the width, and the area of the rectangle is…

A:

Q: The ratio of the measures of the sides of a triangle is 2:5:6, and its perimeter is 39 feet. Find…

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Q: The area of a rectangle is 55 ft?, and the length of the rectangle is 4 ft less than three times the…

A: Suppose that the width of the rectangle is x feet then the length of the rectangle is (3x-4) feet…

Q: In the first tank, the ratio of fluids is 2 : 1, and in the second tank, the ratio of fluids is 3:…

A: For the first tank, the ratio of the fluid is 2:1 . Hence, the volume of one fluid is 2x and the…

Q: The ratio of two numbers is 4 to 3. The sum of the squares of the numbers is 100. Find the numbers.

A: Let the numbers be x and y.

Q: The volume, V, of a pyramid varies jointly as the area of its base, B, and its height, h. If the…

A:

Q: The ratio of two numbers is 3 to 4 and the sum of their squares is 225. Find the numbers.

A: It is given that, the ratio of two numbers is 3 to 4.So let 3x be the first number and 4x be the…

Q: The base of an isosceles triangle is 12 less than twice the length of each equal side. The perimeter…

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Q: The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 77 m2.…

A: Let x = width in ft      y= length in ft   Given, y = 3+2x ----(1) Area = xy = 77 ft2 Using (1) to…

Q: The ration of two numbers is 1 to 4 and the sum of their squares is 272 find the numbers

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Q: The area of a rectangle is  55 yd2 , and the length of the rectangle is  4 yd  less than three…

A: Let l be the length and w be the width, respectively. Here, the length of the rectangle is 4 yd less…

Q: The width of a rectangle is 1 less than twice its length. If the area of the rectangle is 28 cm,w…

A: we have to find the diagonal

Q: The area of a rectangle is 21 yd", and the length of the rectangle is 1 yd less than twice the…

A: Area of the Rectangle, A = 21 yd2 Length of the Rectangle, l = ? Width of the Rectangle, w = ?

Q: The base of a triangle is 12 more than twice its height. If the area of the triangle is 54 cm², find…

A: Let's assume  Base of triangle = b  Height of triangle = h  Area of triangle = A = 1/2  * b * h…

Q: The measures of the sides of the square base of a box are twice the measure of the height of the…

A: given: the measures of the sides of the square base of a box are twice the measure of the height of…

Q: The length of the longer leg of a right triangle is 19ft more than five times the length of the…

A: We will solve the problem

Q: The radius of Circle A is three feet less than twice the diameter of Circle B. If the sum of the…

A: Given : The radius of the circle A is three feet less than twice the diameter of circle B. The sum…

Q: The ratio of the corresponding side of two similar pentagons is 4:5. If the smaller pentagon has a…

A:

Q: The total cost of 3 bikes is $72 000. One bike costs Twice as much as the smallest and another 3…

A: Given: The total cost of 3 bikes is $72 000. One bike costs Twice as much as the smallest and…

Q: The length of a rectangle is 2 ft more than twice the width. The area is 180 ft2. Find the length…

A:

Q: The width of a rectangle is 8 less than twice it's length. If the area of the rectangle is 38cm^2.…

A: The width of a rectangle is 8 less than twice it's  length. If the area of the rectangle  is 38cm^2.…

Q: The dimensions of a rectangle are x + 8 and x² + 3x + 5 and the perimeter of the rectangle is 20…

A:

Q: A rectangular table is five times as long as it is wide. If the area is 45 ft, find the length and…

A:

Q: The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 14 yd…

A: Form the equation in one variable and solve for the dimensions of the rectangle.

Q: The area of a rectangle is  77 ft2 , and the length of the rectangle is  10 ft  less than three…

A: Let l be the length and w be the width of the rectangle. Then according to given data, we have

Q: The area of a rectangle is  99 yd2 , and the length of the rectangle is  7 yd  more than twice…

A: It is given that area of the rectangle is 99 sq yd and its length is 7 yd more than twice the width.

Q: the length of a rectangular piece of cloth to be placed in the rattan table is 2 m more than its…

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Q: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side…

A:

Q: The height of a square box is 2 in. more than three times the length of a side of the base. If the…

A: let the length of the base = x in. then the width will also be x because it is a square box.…

Q: The sum of the measures of ALL THREE angles in a triangle is 180° Solve for x. (2x+1)* (5x+5)

A: Form the expression for the sum of the angles of the right angle triangle. One angle is always equal…

Q: A rectangular table is two times as long as it is wide. If the area is 50 ft2 , find the length and…

A:

Q: The length of a rectangle is 6 yd longer than its width.If the perimeter of the rectangle is 64 yd,…

A:

Q: The length of a rectangle is 1 ft less than twice the width, and the area of the rectangle is 21 ft.…

A: Let's The length of rectangle = l The width of rectangle = w l = 2w-1

Q: The dimensions of a rectangle are x +8 and x2 + 3x + 5 and the perimeter of the rectangle is 20…

A: Given, Dimension of rectangle =  x+8   and x2 +3x +5  Perimeter of rectangle = 20 units

Q: The perimeter of a rectangle is 154 feet. The ratio of its length to its with is 5:2. What is the…

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Q: The area of a rectangle is 432 in. The ratio of the length to the width is 4:3. Find the length and…

A:

Q: the sum of the bases of a trapezoid is equal to thrice the altitude. the slant height is 9m and the…

A: This is a problem related to geometry part. Based on the general formula and concept of the…

Q: The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two…

A: Let's find.

Q: The area of a rectangle is 65 ft, and the length of the rectangle is 3 ft less than twice the width.…

A: Let width of the rectangle = x ft So, according to the problem, length of the rectangle = 2×width-3…

Q: The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 66…

A: Let width of rectangle be ' a '

Q: The base of triangle is 5 units less than twice the height. If the area is 75 square units, then…

A: Consider base and height of the triangle as b and h.The base of triangle is 5 units less than twice…

Q: The ratio of dogs to cats at an animal shelter is 3 to 2. How many dogs are at the shelter if there…

A: topic - ratio

Q: The length of a rectangle is  3 ft  more than twice the width, and the area of the rectangle is…

A: Suppose that the width of the rectangle is x then the length of the rectangle is 3+2x. Also, given…

Q: The length of a rectangle is 5 ft more than twice the width, end the area of the rectangle is 63 ft…

A:

Q: The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21…

A: