The approximate difference in their volumes is 17.2 cubic inches
<h3>How to determine the difference in the volume?</h3>
The given parameters are:
Diameter, d = 2.8
Diameter, D = 3.8
The radii are the half of the diameter.
So, we have:
r = 1.4
R = 1.9
The volume of the balls is then calculated using:
The difference is then represented as:
Substitute known values
Evaluate
D = 17.2
Hence, the approximate difference in their volumes is 17.2 cubic inches
Read more about volumes at:
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The answer is: [A]: " 20a − 5b − 9 " .
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Explanation:
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(12a <span>+ 7b) + (−6a − 9) + (14a − 12b) =
12a </span><span>+ 7b + 1(−6a − 9) + 1(14a − 12b) =
</span>
12a + 7b + (1*-6a) + (1*-9) + (1*14a) + (1* -12b) =
12a + 7b − 6a − 9 + 14a − 12b = ?
Combine the "like terms:
12a − 6a + 14a = 20a ;
7b − 12b = - 5b ;
and then we have "-9" ;
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So, write as: " 20a − 5b − 9 " ; which is: Answer choice: [A].
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legs of the triangles
Each triangle 30-60-90 is:
one leg: 15 ft => short diagonal = 2 * 15ft = 30ft
other leg, x:
tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft
=> long diagonal = 2 * 25.98ft = 51.96 ft
side of the rhoumbus = hypotenuse of one triangle
side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft
Area of the rhombus:
4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2
The shortest distance accross the garden is equal to the side of the rhombus = 30 ft
Answer:
No. It is not.
Step-by-step explanation:
Dividing 5x³+21x²-40x-15 by 5x+4 gives x²+5x-4 with a remainder. Which means, 5x+4 is not a factor of 5x³+21x²-40x-15
Answer:
2 students failed the test.
Step-by-step explanation:
There are 40 students and 95% passed. 95% is also equal to 0.95. Since we are looking for the students who failed, subtract 1.00 - 0.95. You get 0.05. The percentage of students who failed is 5%. Multiply 0.05 times 40 to get 2. This is the amount of students who failed.
