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velikii [3]
3 years ago
5

The measure on angle 0 is 7pie/4. Measure of its reference angle is __ °, and the tan 0 is ___

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

Reference angle is \frac{\pi }{4} and tan\frac{7\pi }{4} = -1

Step-by-step explanation:

\frac{7\pi }{4} lies in the 4th quadrant

and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.


and reference angle for \frac{7\pi }{4} is  

2π-\frac{7\pi }{4} = \frac{\pi }{4}

and tan\frac{7\pi }{4} = -tan \frac{\pi }{4}=  -1

Since tan is negative in 4th quadrant ,therefore value will be  negative for the given angle.


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in febuary you have a balance of $270 in your bank account. each month you deposit $45. let january=1, febuary=2 and so on. brai
Lynna [10]

Answer:

 $450 in June

Step-by-step explanation:

$X = 270 + 45 × ( number of month)  

In this problem, February, the month you start with, would be month 0.

June would be 4.

$X = 270 + 45 × 4

= 270 + 180

= $450 in June

3 0
2 years ago
Red Riding Hood is making a food basket out of 8 different fruits and 9 different vegetables. If there is only room for 6 items,
Bogdan [553]

Answer:

169,344

Step-by-step explanation:

Data provided in the question

Different fruits = 8

Different vegetables = 9

There is only room for 6 items

Based on the above information, the number of ways for an equal number of fruits & veggies is

For the number of combinations of fruit is

= 8\times7\times6

For the number of combinations of vegetables is

= 9\times8\times7

So, the total combinations are

= 9\times8\times8\times7\times7\times6

= 169,344

6 0
3 years ago
Find the value of x. <br><br> A. 10 <br> B. 15 <br> C. 20 <br> D. 25
Ira Lisetskai [31]

Answer:

(5x+13)+(3x+7)=180°

5x+3x=180°-7°-13°

8x=160°

x=160/8

x=20°

option C is correct

6 0
3 years ago
16 x 18, I double and halve
adell [148]
16*18 is 288 

what do u mean by "<span>I double and halve"</span>
8 0
3 years ago
Read 2 more answers
What is the value of b^2 0 4ac for the following equation?<br> 2x^2 0 2x 0 1 = 0<br> 04<br> 0<br> 12
tigry1 [53]
<span>2x^2 - 2x - 1 = 0 a = 2, b = -2, c = -1 b^2 - 4ac = (-2)^2 - 4(2)(-1) = 4 + 8 = 12
so the answer is 12
</span>
3 0
3 years ago
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