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OverLord2011 [107]
1 year ago
6

Consider triangle ABC with the measure of an angle B = 60゚ and sidelinks a equal 4 &c equal 5 what option listed is an expre

ssion that is equivalent to the length of side B
Mathematics
1 answer:
ivann1987 [24]1 year ago
8 0

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is B.

<h3>What is the Law of Cosine?</h3>

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

The length of the sidelink b using the cosine rule can be written as,

b = \sqrt{a^2+c^2-2ac\cos(\angle B)}\\\\b = \sqrt{4^2+5^2 - 2(4)(5)(\cos 60^o)}\\\\b = \sqrt{16+25-20}

Hence, the correct option is B.

The complete question is:

Consider ABC with the measure of angle B equal to 60 degrees, and side lengths a=4 and c=5. Which option lists an expression that is equivalent to the length of side b?

Options are given in the image below.

Learn more about the Law of Cosine:

brainly.com/question/17289163

#SPJ1

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Oliga [24]

Answer:

x = - 39/148

y = -6/37

Step-by-step explanation:

substitute the given value of y into the equation to get 8x-13 (12x+3)=0

solve for x to get x= - 39/148

substitute the given value of x into 12x+3=y

12 x (-39/148) + 3 = y

-6/37 = y

7 0
2 years ago
What multiplication fact could you use to find a number that can be divided equally by 8 and 9
Mamont248 [21]
9 times 8 witch is 72    72 divided by 8 equals 9 and 72 divide by 9 equals 8
8 0
3 years ago
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99.7 of all newborn babies in the United States weigh between
Marina CMI [18]

Answer:

2000-5000 g

Step-by-step explanation:

Averagely, the weight of a new born baby is 7.5 lb, which is equal to 3.5 kg.

Converting this weight in kg to grams,

3.5 kg = 3.5 *1000 = 3500 g

From the answer choices, the value will range from 2000 g-5000 g

4 0
3 years ago
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In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was t
andrezito [222]

The population of California = 2.52 \times 10^7 people.

Land area of California = 4.05 \times 10^5km^2.

We have to determine the average number of people per square kilometer.

Average number of people per square kilometer =

Land area of California \div Population of California

= 4.05 \times 10^5 \div 2.52 \times 10^7

= 1.6 \times 10^{-2}

Therefore, the average number of people per square kilometer is  1.6 \times 10^{-2}.

It is represented in scientific notation as Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

4 0
2 years ago
How to solve -d/6+12=-7
Delicious77 [7]
IF you are solving for d:

isolate the D, do the opposite of PEMDAS.

-d/6 + 12 = -7

(subtract 12 from both sides)

-d/6 + 12 (-12) = -7 (-12)

-d/6 = -19

(multiply 6 to both sides)

-d/6(6) = -19(6)

-d = -19(6)

-d = -144

-d/-1 = -144/-1

d = 144

hope this helps
6 0
2 years ago
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