3 years ago

Which is equivalent to this expression (z+6)(2z^2+3z+5)

1 answer:

5 0

(z + 6)(2z^2 + 3z + 5) = z(2z^2 + 3z + 5) + 6(2z^2 + 3z + 5) = 2z^3 + 3z^2 + 5z + 12z^2 + 18z + 30 = 2z^3 + 15z^2 + 23z + 30

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What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)

andre [41]

<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

$(4k + 159)^{\circ}$

And another arc, let's call it FGH. measures:

$(2k + 153)^{\circ}$

If those arc are equal, then this equation is true:

$(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3$

Substituting k into the first equation:

$\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}$

3 0

3 years ago

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Express the following repeating decimal as a fraction in simplest form.

Ivenika [448]

Answer:

$0.\overline{369} = \frac{41}{111}$

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

$x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}$

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3 years ago

PLEASE HELP MEEEEEEEEEEEEEEEEE ASAAAAAAAP How many centimeters are in 10 meters? A) 10,000 cm B) 1,000 cm C) 100 cm D) 10 cm

statuscvo [17]

Answer:

1,000 cm......there are 100 cm per meter so 1,000 cm per 10 meters

Step-by-step explanation:

8 0

4 years ago

Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc

stira [4]

Answer:

a. p(x<= 5) = .15 + .4 + .25 = .8

C. .4(4.2) = 1.68

5.4(1-.4) = 3.24

3.24 + 1.68 = 4.92 ,, 4.92 > 4.55 so short is better

Step-by-step explanation:

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3 years ago

How to change 1/8 into a precentage?

Mamont248 [21]

12.5%. The answer is 12.5%

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4 years ago

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