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4 years ago

If sin⁡ θ=− 8/17 and 270°<θ<360°, what is cos⁡ θ?

Mathematics

1 answer:

I am Lyosha [343]4 years ago

6 0

Help pls help pls help pls help pls

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Nutritionists recommend that people eat

mixer [17]

The amount of grams of fiber that Jodi should eat to meet the recommended daily amount of fiber is 12 grams.

<h3>How many more grams of fiber should Jodi eat?</h3>

The first step is to convert milligrams to grams.

1 milligram = 0.001 grams

25,000 x 0.001 = 25

Now subtract the recommended amount from the quantity eaten:

25 - (8 + 4 + 1 ) = 12 grams

Please find attached the complete question. To learn how to convert units, please check: brainly.com/question/25993533

#SPJ1

5 0

2 years ago

What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?

bezimeni [28]

$3\equiv3\mod{20}$
$3^2\equiv9\mod{20}$
$3^3\equiv27\equiv7\mod{20}$
$3^4\equiv3\cdot3^3\equiv3\cdot7\equiv21\equiv1\mod{20}$

$7\equiv7\mod{20}$
$7^2\equiv49\equiv9\mod{20}$
$7^3\equiv7\cdot7^2\equiv63\equiv3\mod{20}$
$7^4\equiv7\cdot7^3\equiv21\equiv1\mod{20}$

$9\equiv9\mod{20}$
$9^2\equiv3^4\equiv1\mod{20}$

$11\equiv11\mod{20}$
$11^2\equiv121\equiv1\mod{20}$

$13\equiv-7\equiv13\mod{20}$
$13^2\equiv169\equiv9\mod{20}$
$13^3\equiv13\cdot13^2\equiv(-7)9\equiv-63\equiv-3\mod{20}$
$13^4\equiv13\cdot13^3\equiv(-7)(-3)\equiv21\equiv1\mod{20}$

$17\equiv-3\equiv17\mod{20}$
$17^2\equiv(-3)^2\equiv9\mod{20}$
$17^3\equiv(-3)^3\equiv-27\equiv3\mod{20}$
$17^4\equiv(-3)^4\equiv81\equiv1\mod{20}$

$19\equiv-1\equiv19\mod{20}$
$19^2\equiv19(-1)\equiv-19\equiv1\mod{20}$

Generally speaking, a number $x$ coprime to $n$ will be a primitive root of $n$ if we have $x^n\equiv x\mod{n}$ , or $x^{n-1}\equiv1\mod{n}$ . In other words, if $x$ is of order $n-1$ modulo $n$ , then $x$ is a primitive root of $n$ .

Since none of these numbers has order 19, it follows that 20 does not have any primitive roots.

6 0

4 years ago

40 POINTS!!! PLEASE HELP<br><br> What is the value of y?<br><br> 40<br> 60<br> 120<br> 140

Yakvenalex [24]

Answer:

60°

Step-by-step explanation:

The angle y°;

;A straight line makes an angle of 180°....so hence the angle y°

; 180° - 120° = 60°

4 0

3 years ago