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3 years ago

Use unit circle to determine sine, cosine and tangent functions of the angle 5pi/4

2 answers:

5 0

5pi/4 is located in quadrant III.
In Q III, sin and cos are negative, tan is positive.
T-bar for 5pi/4 is pi/4.
sin and cos are - (sqrt 2)/2
Tan is 1

Kobotan [32]3 years ago

5 0

Sin(5π/4)=o/h
cos(5π/4)=a/h
tan(5π/4)=o/a

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On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders

atroni [7]

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

$Ratio = 8 : 3$

On Saturday:

$Ratio = 4 : 7$

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

$Ratio = 4 : 7$

Calculate Total

$Total = 4 + 7$

$Total = 11$

Calculate the number of skiers

$Skiers = \frac{7}{11} * 168$

$Skiers = \frac{1176}{11}$

$Skiers = 107$ (Approximated)

Calculate the number of snowboarders

$Snowboarders = \frac{4}{11} * 168$

$Snowboarders = \frac{672}{11}$

$Snowboarders = 61$ (Approximated)

Calculate the difference

$Difference = 107 - 61$

$Difference = 46$

Hence, there are 46 more skiers than snowboarder

6 0

3 years ago

Given ΔMNO, find the measure of ∠LMN.

Novay_Z [31]

Answer:

104°

Step-by-step explanation:

If segments NO and NM are congruent, then angles NMO and NOM are congruent. So, their supplements, angles NML and NOP are congruent. That is ...

∠NML ≅ ∠NOP = 104°

∠NML = 104°

3 0

3 years ago

Read 2 more answers

How many times does the digit 7 appear among the terms of the sequence of consecutive integer numbers 7, 8, 9, ...., 777?

Dahasolnce [82]

Answer:

234 times

Step-by-step explanation:

Number of times the number 7 appears in a hundred

7 as units digit (07-17-27 ..... 97): 10 times

7 as tens digit (70-71-72..... 79): 10 times

20 times the digit 7 appears in first one hundred (0-100)

Let's calculate how many times 7 would be as units or tens in 7 hundreds

20X7 = 140 times digit 7 appears until number 699

Now, from 700 to 777

7 as hundreds digit (700-701-702 .... 777): 78 times

7 as tens digit (770-771-772 .... 777): 8 times

7 as units digit (707-717-727....777): 8 times

78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times

140 + 94 = 234 times

4 0

3 years ago

Read 2 more answers

Help me with this please and thank you!! :)

Ann [662]

Answer:

Step-by-step explanation:

$A \cap C$ denotes the set of elements in both A and C, which is $\{20, 24, 28\}$ .
$B^{C}$ denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is $\{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}$

7 0

1 year ago

Have I worked out the following right:

Studentka2010 [4]

Answer: I think the answer is 173.25

Step-by-step explanation:

To find that you have to times them.

15.0*11.55 = 173.25

6 0

3 years ago