Answer:
See explanation below
Step-by-step explanation:
Archimedes was able o obtain the actual volume of the supposedly gold made object by collecting the water displaced by the object as it was sunk on a bowl filled with water to the rim. Then knowing the volume displaced and therefore the volume of the object, he could find the object's density (mass over volume). The mass he could get just by weighting the object. and compare that with the density of any other object made of real gold (like for example a coin) and see if the quotient was the same. The density of both objects should be the same if they are made of the same material.
Answer:
I'm pretty sure the answer is d,(When both angle KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are congruent.)
Step-by-step explanation:
I had this question on my practice exam for my midterm.
Answer:
The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).
Step-by-step explanation:
<u>Answer:</u>
<em>The correct answer is 1 1/2</em>
<u>Step-by-step explanation:</u>
<em>First, We need to find out the sum of 2/3 x 3, change 3 into a fraction if you want</em>
<em>3x2=6 and 1x3 is 3, So 2/3 x 3 is 6/3 or 2</em>
<em>Next, divide 3 by 2, change to fractions if needed</em>
<em>Remember keep, change and flip, flip 2/3 to 1/2</em>
<em>Then, you multiply 3/1 and 1/2 3x1=3 1x2=2</em>
<em>Finally divide 3 by 2. 3 ÷ 2 is 1 1/2</em>
<em>I hope this helped!</em>
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To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.
