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slava [35]
3 years ago
8

Find the perimeter RST. Round answer to the nearest tenth Show all the work

Mathematics
1 answer:
kow [346]3 years ago
6 0

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS=\sqrt{45}≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT=\sqrt{225} = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS=\sqrt{180}≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

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Time Savings
Pavel [41]

Answer:

26.6 repeating a line should be over the 6 couldn't figure out how to do on my phone or 26.66666666666666

Step-by-step explanation:

80 divide by 3 26.6 repeating 9 minus 3 is 6 6 divide 160 is 26.6 repeating 21 minus 9 is 12 12divided by 320 is 26.6 repeating

8 0
2 years ago
A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water
Aloiza [94]

Answer:

The answer is \frac{1}{256}

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

  • 8 of 9 people identified correctly or
  • 9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

0.5^9 =\frac{1}{512}

So we have 2*\frac{1}{512} = \frac{1}{256}

6 0
3 years ago
Zamir needs to determine the height of the building
Svetach [21]

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = \frac{CD}{CE}

CD = CE × \frac{1}{2}

CD = \frac{29}{2}

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

6 0
3 years ago
What is the domain and range of the relation shown in the table?
Leokris [45]

Answer:

domain: {-12, -8, 0, 1}   range: {0, 8, 12}

Step-by-step explanation:

domain are of all the input values shown on the x-axis. The range is the set of possible output  shown on the y-axis.

5 0
3 years ago
Please explain. 100 / (-5) =
svp [43]
That would be -20. a negative divided by a negative number is positive, positive divided by negative is negative bc even numbers of negatives make it positive. and ofc 20 x 5 = 100, hence the ‘20’
5 0
3 years ago
Read 2 more answers
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