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Snowcat
9 days ago
6

Subtract 25.45 from 51.82. Give your answer to 2 decimal places.

Mathematics
1 answer:
PIT_PIT [3.9K]9 days ago
4 0

Answer:

The result is 26.4

Step-by-step explanation:

By taking 51.82 and subtracting 26.37, you arrive at 26.45, and when rounding this value to one decimal place, it becomes 26.4.

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Three ships, A, B, and C, are anchored in the atlantic ocean. The distance from A to B is 36.318 miles, from B to C is 37.674 mi
Leona [4205]

Let's sketch the triangle.

The sides are a= 37.674 miles

b= 11.164 miles

c= 36.318 miles

We'll apply the cosine rule for angle calculations

(since the sine law cannot be employed without knowing any angle measurements).

The cosine law is given by

c^{2} = a^{2} +b^{2} -2ab cos C

Substituting the values results in

(36.318)^{2} = (37.674)^{2} + (11.164)^{2} - 2(37.674)(11.164). Cos C

1318.997 = 1419.33 + 124.634 - 841.184. Cos C

1318.997 = 1543.964 - 841.184. Cos C

841.184. Cos C = 1543.964-1318.997

841.184. Cos C = 224.967

Cos C = \frac{224.967}{841.184}

cos C = 0.267

C = 74.48°

We can find angle A using the sine law

\frac{a}{SinA} = \frac{c}{Sin C}

\frac{37.674}{Sin A} = \frac{36.318}{Sin 74.48}

Sin A = \frac{37.674. sin 74.48}{36.318}

Sin A = \frac{37.674 X 0.963}{36.318}

Sin A = 0.998

A= sin^{-1} (0.998)

A = 87.38°

The third angle B can be determined by calculating 180° minus the sum of angles A and C

B = 180-(74.48 + 87.38)

B = 180 - 161.86

B = 18.14°

Thus, we have calculated all three angles (as shown in the attached figure).

7 0
6 days ago
An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number
tester [3968]

Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

A typical person in the country requires 2,450 kilocalories each day. This means

An individual consumes 2450 kilocalories daily

The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

Thus, in one day, for one individual, we have

15737000 = 2450/hec

Hectare = 2450/15737000

Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

Hectare = 1.5568 × 10 -4 × 365.25

Area of land = 0.056 hectares

7 0
9 days ago
Express 9 ten thousandths in Scientific notation
zzz [4035]
<span>9 ten thousandths equals 0.0009, which can be expressed as 9 × 10 to the power of -4</span>
5 0
13 days ago
Read 2 more answers
Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in
tester [3968]
The following table presents the conversion from degrees to gradients.

To calculate the slope, we take the difference between the two y-values (gradients) and divide it by the difference between the corresponding x-values (degrees).

For this purpose, we will use the initial and final points listed in the table. Therefore, the slope m is calculated as:

m= \frac{300-(-200)}{270-(-180)}  \\  \\ &#10;m= \frac{500}{450} \\  \\ &#10;m=1.11

After rounding to two decimal places, the slope of the line converting degrees to gradients is 1.11

8 0
15 days ago
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Driving from oban to stranraer a driver averages 8 miles per gallon of fuel. if fuel costs 83 cents a gallon how much will be th
Svet_ta [4347]

Answer:

$18.56

Detailed solution:    

The given distance from Oban to Stranraer is 178.9 miles.

First, determine the gallons of fuel consumed by dividing this distance by the vehicle's mileage (miles per gallon).

\text{Total number of gallons of fuel used during the journey}=\frac{178.9\text{ miles}}{8\frac{\text{miles}}{\text{gallon}}}

\text{Total number of gallons of fuel used during the journey}=\frac{178.9\text{ miles}}{8}\times \frac{\text{gallon}}{\text{miles}}

\text{Total number of gallons of fuel used during the journey}=22.3625\text{gallon}

Next, calculate the total fuel expense by multiplying the amount of fuel used by the price per gallon, which is $0.83.

\text{Total cost in fuel during the journey}=22.3625\times\$0.83

\text{Total cost in fuel during the journey}=\$18.560875\approx \$18.56

Hence, the total fuel cost for this trip amounts to $18.56.        

5 0
15 days ago
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