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2 years ago

Triangle P=27,Q=40,P=33 law of sines round measures to the nearest tenth

1 answer:

5 0

For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X

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Find each absolute value | 4+2i | | 5-i | | -3i |

galina1969 [7]

How to get answer for number 1: | 4+2i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}$

How to get answer for number 2: | 5-i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}$

Number 3 how to get answer: | -3i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3$

4 0

2 years ago

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Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weigh of

viva [34]

Jennifer will get 7 kilograms of carrots.

To solve this, simply divide 28 by 4, which is the total number of people sharing the carrots altogether. You wouldn’t divide the number of carrots, 3, by 4, because that is additional info that is out there to throw you off track. Instead, to find the weight of the carrots that Jennifer would get, you would divide the total weight of the carrots by the people sharing them to get 7 kg.

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2 years ago

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If AB is 12, what is the length of A'B'?

lukranit [14]

Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:

$\frac{BC}{B^{\prime}C}=\frac{AC}{A^{\prime}C}=\frac{AB}{A^{\prime}B^{\prime}}$

Replacing with data:

$\begin{gathered} \frac{9}{6}=\frac{12}{A^{\prime}B^{\prime}} \\ 9\cdot A^{\prime}B^{\prime}=12\cdot6 \\ A^{\prime}B^{\prime}=\frac{72}{9} \\ A^{\prime}B^{\prime}=8 \end{gathered}$

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6 months ago

After how many audio books will both book clubs cost the same amount.

bulgar [2K]

Answer:

2 books

Step-by-step explanation:

10 + 5x = 16 + 2x

- 2x - 2x

10 + 3x = 16

-10 -10

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/3 /3

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2 years ago

Help me asap please

iren [92.7K]

A(-3, -1); B(2, -1), C(2, 3)

You can read the length of AB and BC.

|AB| = 5

|BC| = 4

Use the Pythagorean theorem:

$|AC|^2=5^2+4^2\\\\|AC|^2=25+16\\\\|AC|^2=41\to|AC|=\sqrt{41}\\\\|AC|\approx6.4$

The perimeter:

$P=|AB|+|BC|+|AC|\\\\P=5+4+6.4=15.4$

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3 years ago