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zhuklara [117]
3 years ago
5

Which similarity statement is true?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0
In order for the triangles to be similar, the corresponding angles should be equal, so in the given, use the 90 degree angle as the reference so that you will not be confused. in the big triangle z is the 90 degree and in the two smaller triangle x is the 90 degrees, so the correct answer is the second choice
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For the region bounded by y=2x​, the​ x-axis, and x=1​, determine which of the following is​ greater: the volume of the solid ge
telo118 [61]

Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

\int\limits^1_0 {(pi)y^{2} } \, dx

which when evaluated gives 4pi/3.

Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

7 0
3 years ago
Which strategy would you use to divide 36÷6?explain why you chose that strategy.
jolli1 [7]
36 divided by 6 is like sharing 36 orranges among 6 people
a   a   a   a   a   a|---------------------------1st Person
a   a   a   a   a   a|---------------------------2nd Person
a   a   a   a   a   a|---------------------------3rd Person
a   a   a   a   a   a|---------------------------4th Person 
a   a   a   a   a   a|---------------------------5th Person
a   a   a   a   a   a|---------------------------6th Person 

Each person receives 6 oranges evenly so 36/6 = 6
I used this strategy because it is the easiest to understand
4 0
3 years ago
Read 2 more answers
90 points
yan [13]

Answer:

Pythagorean Theorum is defined in Mathematics by a^2 + b^2 = c^2.

One leg (a) is 5. The other leg (b) is 13.

Let's use Pythagorean Theorum.

5^2 + 13^2 = c^2

5 • 5 = 25

13 • 13 = 169

25 + 169 = 194.

Step-by-step explanation:

Hope this helps

5 0
3 years ago
Read 2 more answers
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:
igomit [66]
B. 0

G(6)= 6 - 8 = -2

F(-2) = 6(-2) + 12 = 0
6 0
3 years ago
Find a 4 digit odd number using each of the digit 1,2,3,4 and 5 only once such than when the first and the last digit are in int
Vesna [10]

Answer:

The possible numbers could be : 4521, 4125, and 2415

3 0
3 years ago
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