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yulyashka [42]
3 years ago
12

a plane took 3 hours and 33 minutes to finish a journey. if the distance of the journey was 2840 miles, at what average speed di

d the plane travel in miles per hour.
Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:

The average speed of the plain was 800 miles/h.

Step-by-step explanation:

To solve this problem we first need to convert the time the tain took to finish the journey to hours. To do that we will divide the part that is in minutes by 60 and sum to the part that is in hours, we have:

time = 3 + 33/60 = 3 + 0.55 = 3.55 hours

The average speed is given by the following formula:

average speed = distance/time

average speed = 2840/3.55 = 800 miles/h

The average speed of the plain was 800 miles/h.

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At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seate
nikitadnepr [17]

Answer:

10 guests a table

Step-by-step explanation:

3 tables

7 late arrivals

37 total people

37 minus 7 is 30

30 divided by 3 is 10

answer is 10

8 0
2 years ago
What is the geometric mean between 9/16 and 25/36
sergiy2304 [10]

Answer:

5/8

Step-by-step explanation:

Geometric mean is found by multiplying the n number of values and then taking the n-root.

To do this with these numbers, sqrt((9/16)*(25/36)) = (3/4)(5/6) = (1/4)(5/2)= 5/8

I hope this helps! :)

6 0
3 years ago
Circumference (rounding)
KonstantinChe [14]

Answer:

41

Step-by-step explanation:

13 cm × 3.14 ( pi )

will give you

40.82 = 41

3 0
2 years ago
Read 2 more answers
What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

8 0
3 years ago
Pls help me guys, I’d really appreciate it
trapecia [35]

Answer:

∠ PQR = 70°

Step-by-step explanation:

The tangent- tangent angle PQR is half the difference of the intercepted arcs.

minor arc PR = 360° - 250° = 110°

Then

∠ PQR = \frac{1}{2} (250 - 110)° = \frac{1}{2} × 140° = 70°

8 0
3 years ago
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