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3 years ago

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is

Mathematics

1 answer:

aalyn [17]3 years ago

8 0

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

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a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

STatiana [176]

Answer:

As per Provided Information

Area of rectangle is 54 square inches
Width of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

$\boxed{\bf \: Area_{(Rectangle)} = length \: \times width}$

On substituting the value we obtain

$\sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches$

Therefore,

Length of the rectangle is 6 inches .

8 0

1 year ago

PLEASE HELP ME !!!!!!!!!!!!!!!!! LET ME KNOW IF ITS RIGHT

Savatey [412]

Okay. So the song lasts 221 seconds. 45 seconds have already beem done and 22 seconds is done in an hour. The equation would be set up like this:

45 + 22h = 221

Just by looking at the answer choices, A is already eliminated because it doesn't incorportate the 45 seconds. B does include the 45 seconds, but it subtracts, and in this case, we add time, not subtract. D is eliminated, because the h variable does not go with 45. The only equation that works is C and when you solve it, you get 8 hours. The answer is C.

Note: you solve the equation above by subtract 45 from both sides to get 176 = 22x, and dividing both sides by 22 to get x = 8.

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3 years ago

Natasha has 3 pounds of apples and 2 and 1/2 pounds of grapes if she gives 1/3 of a apples to Silvie how many pounds of apples d

Vikentia [17]

Your answer is 2 and 3/4

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2 years ago

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Burka [1]

answer to this one is b

Step-by-step explanation:

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2 years ago

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In the floor tile pattern, the figure is a square and the two triangles are congruent.

Licemer1 [7]

Answer:

7.1

Step-by-step explanation:

Since it is a square you can use the Pythagorean theorem (a²+b²=c²) by filling in what you know. a²=5 and b²=5 so you have 5²+5²=c². This simplfies to 25+25=c². Now you simplify again to get 50=c². Finally you have to square root everything because the equation can't end in c², it has to be the most simplified it can be. This equals ≈7.1

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2 years ago