Answer:
(B)The surface area is equal to the area of its two-dimensional net.
Step-by-step explanation:
The surface area of a 3D object is the sum of the areas of the various sides that make up this figure. Essentially, if you unroll the object into its 2D net, then the area that this net covers will be the surface area.
Think about a cube, for example. It has 6 square sides, so its surface area is the sum of the areas of those squares. If we take the net of the cube, it's also 6 squares, and if we sum those together, we'll get the same answer.
Thus, the answer is B.
Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
<em>-56 = a(3²) + b(3) + c</em>
-56 = 9a + 3b + c 1)
<em>-16 = a(-1²) + b(-1) + c</em>
-16 = a - b + c 2)
<em>-51 = a(-2²) + b(-2) + c </em>
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.
Answer:
Step-by-step explanation:
Therefore, three consecutive integers that add up to 297 are 98, 99, and 100. We know our answer is correct because 98 + 99 + 100 equals 297 as displayed above.
Answer:
-4x
Step-by-step explanation:
x(2x-3)-x(5x+1)+x
2x-3x-5x+x+x
2x-3x-5x+2x
2x-3x-3x
2x-6x
-4x
The probability that the student selected is 5/8.
According to the question,
We have the following information:
A class consists of 30 women and 18 men.
Now, total students in the class = Number of women + number of men
Total students = 30+18
Total students = 48
Now, the probability that the student is a woman:
Probability of an event = Number of women/total number of students
30/48
(More to know: probability of an event can not be greater than 1.)
Now, converting this into the simplest form by dividing both the numerator and denominator by 6:
5/8
Hence, the probability that the student selected is 5/8.
To know more about probability here
brainly.com/question/11234923
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