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alexira [117]
3 years ago
7

In the triangle below, b = _____. If necessary, round your answer to two decimal places.

Mathematics
1 answer:
lara [203]3 years ago
7 0
Angle B=180-(38+31.6)=110.4
by law of sin
sin B/b=sinA/A
sin(110.4)/b=sin38/25
b=25*sin(110.4)/sin(38)=38.06
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Suppose that you spin the double wheel pictured to the right. Assuming that the wheels are independent and each outcome is equal
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Answer:

0.125

Step-by-step explanation:

<u>Smaller Wheel</u>

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The probability of obtaining red on the smaller wheel =\dfrac38

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Total Number of Equal Sectors = 12

The number of Red sectors =4

The probability of obtaining red on the larger wheel =\dfrac{4}{12}

Assuming that the wheels are independent and each outcome is equally​ likely, the probability that we get red on both wheels

=\dfrac38 \times \dfrac{4}{12}\\\\=\dfrac18\\\\=0.125

The probability is: 0.125

3 0
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What is 8.478 in expanded form
Alenkinab [10]
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3 years ago
7. A shopkeeper buys 300 identical articles a tota
sashaice [31]

Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

3 0
3 years ago
Is this triangle an acute, obtuse, or a right?
Ivanshal [37]
Its an acute or an obtuse triangle
5 0
3 years ago
Read 2 more answers
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simu
solmaris [256]

Answer:

They will sound together at 2pm

Step-by-step explanation:

Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.

To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

The lowest common multiple between both is 120

This means that the two gongs will sound together at exactly 120 minutes

Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm

8 0
3 years ago
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