MATHEMATICS HIGH SCHOOL

the length and width of a rectangular room are measured to be 3.955 plus-or-minus 0.005 m by 3.050 plus-or-minus 0.005 m. what is the area of the room and its uncertainty in square meters?

Answers

Answer 1

Answer:

Step-by-step explanation:

To calculate the area of the room, we multiply its length by its width.

Length = 3.955 m +/- 0.005 m

Width = 3.050 m +/- 0.005 m

Area = Length x Width

Area = (3.955 m)(3.050 m)

Area = 12.06275 m²

To find the uncertainty in the area, we need to consider the maximum and minimum possible values for both the length and width.

The maximum length = (3.955 m + 0.005 m) = 3.960 m

The minimum length = (3.955 m - 0.005 m) = 3.950 m

The maximum width = (3.050 m + 0.005 m) = 3.055 m

The minimum width = (3.050 m - 0.005 m) = 3.045 m

Maximum Area = (3.960 m)(3.055 m) = 12.07572 m²

Minimum Area = (3.950 m)(3.045 m) = 12.033 m²

So the area of the room is 12.06275 m² with an uncertainty of +/- 0.04272 m².

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Answer of the question and method how to solve

If sqrt x=-7 then x=-49
true or false

Answers

False.

IF √x = -7.

Square both sides

(√x)² = (-7)²

x = (-7)(-7)

x = 49

x will equal 49

False is your answer

hope this helps

Please help this question I need all of them

Answers

a 300m b 300m c 1200m d 5km e 600m f 400m g 2km h 5km. remember that 1 km is equal to 1000m

Answer:
a) 300m
b) 300m
c) 1200m
d) 5km
e) 600m
f) 400m
g) 1km
h) 5km

Explanation: Question is asking you to fill in the missing value to complete the bar model.

Explanation for a:

700m + what equals 1km?
1km is 1000m
1000m - 700m = 300m

Hope this helps! :)

A skier has decided that on each trip down a slope, she will do 2 more jumps than before. On her first trip she did 6 jumps. Derive the sigma notation that shows how many total jumps she attempts from her fourth trip down the hill through her twelfth trip. Then solve for how many total jumps she attempts from her fourth trip down the hill through her twelfth trip.I tried to answer, but I don't really know how to even set it up... :/

Answers

The correct answers are:

Explanation:

Since she is adding two more jumps every time she goes down hill, this is an arithmetic sequence. The general form of an arithmetic sequence is

Since we want the number of jumps on her 4th through 12th trips, we will set n in the summation from 4 to 12. n=4 goes at the bottom of Σ and 12 goes at the top, to represent the values we are interested in.

Beside this, we write our general form. The first term is 6 and d, the common difference, is 2. This gives us 6+2(n-1) beside the summation:

$\Sigma_(n=4)^(12) 6+2(n-1)$

To evaluate this, we substitute the values 4, 5, 6, 7, 8, 9, 10, 11 and 12 in for n, adding all of the values together:

6+2(4-1)+6+2(5-1)+6+2(6-1)+6+2(7-1)+6+2(8-1)+6+2(9-1)+6+2(10-1)+6+2(11-1)+6+2(12-1)

=6+6+6+8+6+10+6+12+6+14+6+16+6+18+6+20+6+22

=180

I'll just manually compute this one. Every attempt she will add 2 more jumps.

Attempt Jumps Accumulated Jumps
1 6 6
2 8 14
3 10 24
4 12 36
5 14 50
6 16 66
7 18 84
8 20 104
9 22 126
10 24 150
11 26 176
12 28 204

Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps

Which is greater: -999 + (-1)?