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LiRa [457]
3 years ago
10

Find the area of ΔABC.

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

Step-by-step explanation:

You know two sides of the triangle and the angle between them, so use the Law of Cosines to solve the triangle.

a² = √(b²+c² - 2bc·cosA)

= √(9²+7.8² -  2·9·7.8·cos(32°)

≅ 4.8

Then use Heron's formula to calculate the area.

semiperimeter s = 0.5×(a+b+c) ≅ 10.8

area = √(s-(s-a)(s-b)(s-c)) ≅ 18.6 square units

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puteri [66]

Answer:

Solution: Option C

Step-by-step explanation:

Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).

x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0 (Factor the expression "x² + 8x")

x^2+8x = x\left(x+8\right) (Factor the expression "y² - 12y")

\:y^2-12y =y\left(y-12\right)

That leaves us with the expression \left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2, or in other words (x+4)^2 +(y-6)^2 = 9. As you can see our solution is option c.

4 0
3 years ago
Why can't Irrational numbers never be precisely represented in decimal form.
dexar [7]
Irrational numbers can not be precisely represented in decimal form because they are non-terminating, non-repeating decimals. Also they cannot be written as a fraction as well.
4 0
3 years ago
Lol I’m dumb please help
NeX [460]

The answer is 50, just divide 10 and 2, you get 5 and multiply the 5 with the 10

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3 years ago
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A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3. 00 0. 50 m = 9. 5
Sliva [168]

The statement, which shows the meaning of the taxi driver’s equation for the mileage and fee formula are statement B and E.

<h3>What is linear equation or formula?</h3>

Linear equation or formula is the equation in which the highest power of the unknown variable is one.

Given information-

The formula equation for the mileage is,

3.00+0.50m=9.50

In the above formula the term <em>m </em>represents the number of miles traveled.

This formula written by the taxi driver shows the relation between the mileage and fee for his last customer. Using this expression the number of miles can be calculated as,

3.00+0.50m=9.50

Subtract with 3 both the sides,

0.50m=9.50-3.00\\0.50m=6.50

Divide by number 0.5 both the sides,

m=\dfrac{6.5}{0.5}\\m=13

Thus, his last costumer traveled 13 miles.

The 13 times 0.5 plus $3 is equal to the $9.50 which means nine dollars and fifty cents. Thus the option B is the correct option.

The number of miles traveled by customer is 13 miles. 13 miles of 50 cent  is equal to $6.5. If we add three dollars in it the result will be equal to the nine dollars and fifty cents. Thus the option E is correct.

Hence, the statement, which shows the meaning of the driver’s equation, are,

  • B) Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
  • E) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Learn more about the linear equation here;

brainly.com/question/14323743

3 0
2 years ago
Sin a ______ = 1/2 [ sin ( a + b ) + sin ( a - b) ]
Neko [114]

Answer:

Cos b

Step-by-step explanation:

1/2[sin(a+b)+sin(a-b)]

1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]

1/2[2sin a cos b]

sin a cos b

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4 years ago
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