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Mathematics

1 answer:

Alina [70]2 years ago

5 0

Answer:

7,y,6, and x are the correct answers

Step-by-step explanation:

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Step-by-step explanation:

in a 30,60,90 triangle the longer leg is rt3 times the value of the shorter leg and the hypotenuse is 2 times greater than the shorter leg.

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An arithmetic sequence has a first term of 10 and a sixth term of 40. What is the 20th term of this sequence?

Aleks04 [339]

In An arithmetic sequence will add or subtract the same thing each time to find the next term. In this case we start with 10 and need to get to 40 on the 6th term. This is a difference of 30 that needs to be divided by 5 open spaces. You are adding 6 each time.

10, 16, 22, 28, 34, 40, _,_,_,_, 70, _,_,_,_,100,_,_,_, 124.

Another way to do this would be to look at the 5th term and multiply it by 4 to get to the 20th term. 34 x 4 = 124.

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3 years ago

Read 2 more answers

Simplify (4ab^2)^3<br><br> Any help is appreciated

Pie

Answer:

$64a^{3} b^{6}$

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

$(4ab^{2} )^3$

$4^{3}$ · $a^{3}$ · $b^{6}$

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the $4^{3}$ out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

$4$ · $4$ · $4$ · $a^{3}$ · $b^{6}$