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blondinia [14]
2 years ago
6

How do you factorize the algebraic expression [8p³ - 27q³ - 36p²q + 54pq²] using identities?

Mathematics
1 answer:
IceJOKER [234]2 years ago
8 0

Answer:

8p^3 -27q^3 -36p^2q +54pq^2

Step-by-step explanation:

This isn't factorizable???

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natima [27]
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3 years ago
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A ski hat is priced at 19.50 and a pair of ski boots are priced at 85.50. If the sales tax rate is 7%, then what is the total co
m_a_m_a [10]

Answer:

The total cost of the ski hat and the ski boots is $112.35.

Step-by-step explanation:

First, we need to add the prices of the ski hat and the ski boots.

85.50 + 19.50 = $105

Now, we need to find 7% of $105, and then add it to the total.

105 x 0.07 = $7.35

105 + 7.35 = $112.35

Therefore, the total cost of the ski hat and the ski boots is $112.35.

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2 years ago
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In triangle PQR, PR = 23mm, QR = 39mm, and m<R = 163 degrees. Find the area of the triangle to the nearest tenth.
Schach [20]

Answer: 131.1287 square mm (approx)

Step-by-step explanation:

The area of a triangle,

A=\frac{1}{2} \times s_1\times s_2\times sin \theta

Where s_1 and s_2 are adjacent sides and \theta is the include angle of these sides,

Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

s_1 = PR= 23\text{ mm}, s_2=QR=39\text{ mm} and \theta = 163^{\circ},

Thus, the area of the triangle PQR,

A=\frac{1}{2} \times 23\times 39\times sin163^{\circ}

A=\frac{262.257419136}{2} = 131.128709568\approx 131.1287\text{ square mm}

5 0
3 years ago
In ∆abc, m∠cab = 2x and m∠​acb = x + 30. if line segment a b is extended through point b to point d, m∠​cbd = 5x − 50. what is t
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The answer is option "3, 40".

<span>m∠cab = 2x
m∠​acb = x + 30
m∠​cbd = 5x − 50
Now,
</span>m∠cab + m∠​acb = m∠​cbd 
2x+x+30 = 5x-50
2x+x-5x = -50-30
-2x = -80
x = 40


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3 years ago
One thousand raffle tickets are sold at $2 each. Six prizes will be awarded, one first prize worth $500, two second prizes worth
zvonat [6]
Oliver would have a 1/1000 chance of getting $500, a 2/1000 chance of earning $300, and a 3/1000 in earning $1000. He would have a 994/1000 chance of making no money back
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