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4 years ago

15

The base angle of an isosceles triangle measures 54 degrees. What is the measure of its vertex angle? A) 27degrees B) 36 degrees

C) 54 degrees D) 72 degrees

1 answer:

yaroslaw [1]4 years ago

8 0

State the other data first.

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Which expression is equivalent to (4g3h2k4)3

RSB [31]

Answer:

d) $8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

$\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$ $= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

Step-by-step explanation:

<u><em>Explanation</em></u>

Given expression

= $\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

By using

(ab)ⁿ = aⁿbⁿ

$\frac{a^{m} }{a^{n} } = a^{m-n}$

= $\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

After simplification , we get

$= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

3 0

3 years ago

5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (

chubhunter [2.5K]

Answer:

a) $56000
b) DA = 2, GA = 10

Step-by-step explanation:

<u>Given</u>

DA = A + B ⇒ $3000
GA = A + 2B ⇒ $5000
Number of A = 12
Number of B = 22

<u>We can see from the equations that</u>

GA - DA = B ⇒ $2000 and
A = $1000 and B = $2000 in terms of profit

<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>

A + B = 12
A + 2B = 22

Is the equation set to indicate use of the units A and B

<u>Solving we get </u>

A = 2 and
B = 10

<u>It this case all the units are used and profit is maximum</u>

2*$3000 + 10*$5000 = $56000

Number of DA = 2
Number of GA = 10

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4 years ago

Write each set of fractions in order from least to greatest. 2/3, 15/18, 1/6

SIZIF [17.4K]

Answer:

1/6, 2/3, 15/18

Step-by-step explanation:

get a common denominator

2/3 times 6

15/18 times 1

1/6 times 3

new fractions : 12/18, 15/18, 3/18

so it would be 3/18, 12/18, 15/18

then just revert it back to the original fraction and you have your answer

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3 years ago

5. Which expression is a factor of x2 -5x - 6?<br> A<br> B<br> x - 6<br> x-2<br> c<br> x-3<br> 1

noname [10]

Answer:

The answer is B

Step-by-step explanation:

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3 years ago

You work as a chef, you order 100 pounds

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Answer: what?! that's a lot of meat but what is the question

Step-by-step explanation:

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3 years ago

Read 2 more answers