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Mademuasel [1]
3 years ago
9

Find the value of 2abcosC.

Mathematics
2 answers:
Strike441 [17]3 years ago
6 0

Answer:

7

Step-by-step explanation:

a=2

b=2

c=1

2ab cos C=a²+b²-c²=2²+2²-1²=4+4-1=7

Mazyrski [523]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given

a² + b² - 2abcosC = c² ( subtract c² from both sides )

a² + b² - c² - 2abcosC = 0 ( add 2abcosC to both sides )

a² + b² - c² = 2abcosC

Here a = 2, b = 2, c = 1 , then

2² + 2² - 1² = 2abcosC

4 + 4 - 1 = 2abcosC , then

2abcosC = 7 → C

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Answer:

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Step-by-step explanation:

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6 0
2 years ago
The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from o
Semenov [28]

Answer:

Isaac traveled 12.8 miles by taxi for $27.46.

Step-by-step explanation:

The formula required here is

$2.50 + ($1.95/mile)x = $27.46.

We need to solve this for x, the number of miles traveled:

Subtract $2.50 from both sides, obtaining:

($1.95/mile)x = $24.96

Now divide both sides by ($1.95/mile):

   $24.96

------------------ = 12.8 miles

($1.95/mile)

Isaac traveled 12.8 miles by taxi for $27.46.

3 0
4 years ago
Find the area of a triangle with legs that are 15,10,20
AveGali [126]
See attached picture with the answer

4 0
3 years ago
H(x)=x^2-1 what is the average rate of change of h over the interval −3≤x≤−1
Allisa [31]

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7 0
2 years ago
first number plus twice a second number is 8. Twice the first number plus the second totals 31. Find the number
ryzh [129]

Answer:

1st number = 18

2nd number = -5

Step-by-step explanation:

Let x be first number and y be the 2nd number.

We have been given that first number plus twice a second number is 8. We can represent this information as:

x+2y=8...(1)

We are also given that twice the first number plus the second totals 31. We can represent this information as:

2x+y=31...(2)

Now let us solve our system of equations using substitution method.

From equation (1) we will get,

x=8-2y

Substituting x=8-2y in equation (2) we will get,

2(8-2y)+y=31

16-4y+y=31

-4y+y=31-16  

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y=\frac{15}{-3}

y=-5

Therefore, the second number is -5.

Now let us substitute y=-5 in equation (1).

x+(2*-5)=8

x-10=8

x=8+10

x=18

Therefore, the first number is 18.

4 0
3 years ago
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