Laura wants to know the volume of her gold ring in cubic centimeters. She gets a rectangular glass with a base of 7 cm by 4.5 cm and fills the glass
8.8 high with water. Laura drops her gold ring in the glass and measures the new height of the water to be 9.2 cm
What is the volume of Laura's ring in cubic centimeters?
First, we need to calculate the volume of the water displaced by the ring, which is equal to the volume of the ring.
The initial volume of water in the glass is:
7 cm x 4.5 cm x 8.8 cm = 277.2 cm³
After the ring is added, the volume of water increases to:
7 cm x 4.5 cm x 9.2 cm = 292.6 cm³
The difference between the two volumes is 292.6 cm³ - 277.2 cm³ = 15.4 cm³, which is the volume of the ring.
Therefore, the volume of Laura's ring is 15.4 cubic centimeters.
Thanks... I think you had to add..
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Rectangle ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
A = (−2,1), B = (3,1), C = (3,4) and D, = (−2,4)
What is the perimeter of rectangle
ABCDA, B, C, D?
To find the perimeter of the rectangle ABCDA, we need to add the length of the four sides of the rectangle.
The length of side AB is the horizontal distance between points A and B, which is:
3 - (-2) = 5
The length of side BC is the vertical distance between points B and C, which is:
4 - 1 = 3
The length of side CD is the horizontal distance between points C and D, which is:
3 - (-2) = 5
The length of side DA is the vertical distance between points D and A, which is:
4 - 1 = 3
Therefore, the perimeter of rectangle ABCDA is:
AB + BC + CD + DA = 5 + 3 + 5 + 3 = 16
Hence, the perimeter of the rectangle is 16 units.
Ok Thanks..!!!
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Write an equation to represent the following statement.
24 is 4 times as great as k.
Solve for k.
The equation to represent the statement "24 is 4 times as great as k" is:
24 = 4k
To solve for k, we need to isolate k on one side of the equation. We can do this by dividing both sides of the equation by 4:
24/4 = 4k/4
6 = k
Therefore, the value of k that satisfies the equation is 6.
OK. Mrs.Lindy is purchasing notebooks for her students. She spends $52 on n notebooks. Each notebook costs $3.25
Select the equation that matches this situation.
A. 52 = 3.25n
B. 3.25/ 52 = n
C. n = 3.25 × 52
The equation that matches the situation is:
A. 52 = 3.25n
This equation states that the total amount Mrs. Lindy spends on n notebooks, which is $52, equals the cost of each notebook, which is $3.25, multiplied by the number of notebooks, which is n.
Option B is not the correct equation because it rearranges the terms in a way that doesn't make sense in this situation because $3.25/52 is not a valid expression for n.
Option C is incorrect because it multiplies the cost of each notebook ($3.25) by the total amount spent ($52), giving the total value of notebooks purchased by Mrs. Lindy.
Hence, option A is the correct equation.
Ok. Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs
11 kilograms, and Ruth is lighter than Scoonsie.
Write an inequality that describes r, Ruth's weight in kilograms.
Since Ruth is lighter than Scoonsie, her weight is less than 11 kilograms.
We can write this as an inequality:
r < 11
where r represents Ruth's weight in kilograms.
This inequality states that the value of r (Ruth's weight) is less than 11, which means that Ruth weighs less than 11 kilograms.
You are graphing rectangle ABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:
A =(−7,−7.5), B = (−3,7.5), C = (−3,2.5)
What are the coordinates of point D?