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SVETLANKA909090 [29]
3 years ago
14

Find the length of side BC.

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

19.3 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 71°

Adjacent = 6.3 cm

Hypothenus = BC =?

The length BC can be obtained by using cosine ratio. This is illustrated below:

Cos B = Adjacent / Hypothenus

Cos 71 = 6.3 / BC

0.3256 = 6.3 / BC

Cross multiply

0.3256 × BC = 6.3

Divide both side by 0.3256

BC = 6.3 / 0.3256

BC = 19.3 cm

Thus, Lenght of side BC is 19.3 cm

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Answer:

d =  - 32

Step-by-step explanation:

- 5 = 0.25d + 3 \\ add \: 5 \: from \: both \: sides \\  \\  - 0.25 = 8 \\ divide \: both \: sides \: by \:  - 0.25 \\  \\ d =  - 32

7 0
3 years ago
Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile. What is the total distance Petrov ran in f
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Answer:

9240 feet

Step-by-step explanation:

Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.

Step 1

The total distance Petrov ran in miles is calculated as:

1 lap = 1/4 mile

7 laps = x mile

Cross Multiply

x = 7 × 1/4 mile

x = 1.75 miles

Step 2

What is the total distance Petrov ran in feet?

1 mile = 5280 feet

1.75 miles = x

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x = 1.75 × 5280 feet

x = 9240 feet

Therefore, the total distance Petrov ran in feet is 9240 feet

3 0
4 years ago
A teacher graded the tests for each of her students. She calculated a mean grade of 80 and a
son4ous [18]

Answer:

Katrina got 86 in her test

Step-by-step explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86

7 0
3 years ago
Collect like terms
Dmitriy789 [7]

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Step-by-step explanation: Plugged it in to a calculator

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A

Step-by-step explanation:

4 0
3 years ago
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