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Lerok [7]
4 years ago
9

PROBLEM SOLVING AND APPLICATION

Mathematics
1 answer:
Helga [31]4 years ago
4 0
2 out of 15 for both
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0 ≤ x ≤ 30

Step-by-step explanation:

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Is Figure ABCD congruent to Figure PQRS? Use the drop-down menus to explain your answer. у 6 В. R 4 S a Q N A I Р 8 -6 -4 -2 O -
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are not and does not

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The wheels on Noah's bike have a circumference of about 5 feet. How far does the bike travel as the wheels makes 15 complete rot
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Answer:

75 feet

Step-by-step explanation:

If the circumference of the wheels is 5 feet, every full rotation the bike will travel 5 feet. Therefore, after 15 full rotations the bike will travel 15 * 5 = 75 feet.

8 0
3 years ago
Read 2 more answers
A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obt
Andrew [12]

Answer:

V \approx 1113

Step-by-step explanation:

Here we have

Space x in cm          Area in square centimeters  - A(x)

  1. x = 0                     0
  2. x = 1.5                 19
  3. x = 3                   58
  4. x = 4.5                78
  5. x = 6                   94
  6. x = 7.5               105
  7. x = 9                  117
  8. x = 10.5              129
  9. x = 12                  62
  10. x = 13.5                40
  11. x=15                     0

As we can see, 0 \leq x \leq 15 and we need to divide it into 5 subintervals, where

                                         \Delta x = \frac{15-0}{5} = 3

is the length of each interval. Therefore, the subintervals are

                                 [0,3], [3,6], [6,9], [9,12], [12,15]

The midpoint of the first interval is calculated as

                                        x^*_1 = \frac{3+0 }{2} = 1.5

Similarly, we obtain that the midpoints of other subintervals are

                              x^*_2 =4.5, x^*_3= 7.5, x^*_4= 10.5, x^*_5 = 13.5

By the Midpoint rule, we have

                      V \approx \sum_{i=1}^{5} A(x^*_i) \Delta x \\\\\phantom{V} = \Delta x (A(1.5) + A(4.5) + A(7.5) + A(10.5)+ A(13.5))

From the given data above, we have

         A(1.5) = 19, A(4.5) = 78, A(7.5) = 105, A(10.5) = 129, A(13.5) = 40

Therefore,

                      V \approx 3 (19+ 78+ 105+129+40 ) = 1113

8 0
4 years ago
P(2,3); y-4=-2(x+3) perpendicular
snow_tiger [21]
Y=-2x-6+4
Y=-2x-2
Because -1=-2*(1/2)
So y=(1/2)x-2
3=(1/2)*2+b
b=2
So (1/2)x+2
7 0
3 years ago
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