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borishaifa [10]
3 years ago
5

Find B round to the nearest tenth!!!! laws of cosines!!!!​

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

32.7°

Step-by-step explanation:

Use the formula for law of cosines, for this question we need so solve for angle B, so use...

b² = a² + c² - 2(a)(c)Cos B

We are given a, b, and c, so plug them in...

55² = 90² + 50² - 2(90)(50)Cos B

Now simplify...

3,025 = 8100 + 2500 - (9000)Cos B

   -7,575 = -(9000)Cos B   (subtract 8100 and 2500 from both sides)    

            0.841666667 = Cos B    (divide both sides by -9000)

       Cos^(-1) 0.841666667 = B  (use cosine inverse function on calculator)

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Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25
swat32

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

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3 years ago
What is the greatest common factor of 30a^2b^4 and 24ab^3?
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3 years ago
The mean length of 5 childrens' index finger is 5.6cm.
rjkz [21]

The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>

The given parameters are:

<u>Children</u>

Mean = 5.6 cm

Frequency = 5

<u>Adult</u>

Mean = 6.2 cm

Frequency = 3

The mean length of these 8 people's index finger is calculated as:

\bar x = \frac{\sum fx}{\sum f}

So, we have

Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)

Evaluate

Mean = 5.83

Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

Read more about mean at

brainly.com/question/20118982

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1 year ago
7 watermelons cost $8.96.Which equation would help determine the cost of the 5 watermelons? Into two fractions with a expontnet
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Answer:

hola CTM

Step-by-step explanation:

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3 years ago
70 - 5x = number of people waiting in line to buy tickets x minutes after a ticket booth opened is given by 70 - 5x. What does t
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Answer:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

Step-by-step explanation:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

You can see this by setting the x value to 0, it is, in the precise moment when the booth opened (as x cant be negative, because there is no negative time, you could also think of 70 as the number of people waiting before the booth opens).

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3 years ago
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