All categories

3 years ago

Find the exact value: tan40/cot50 sec55/csc35 SHOW ALL WORK!

1 answer:

5 0

These are the important trigonometric relations to base on:

cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)

Following these properties, we could simplify the equation and input into the calculator to determine the exact value.

tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1

sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1

You might be interested in

Please help me i need help i'll help you if you help me ! i will mark you as brill

MatroZZZ [7]

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

$Ratio = \frac{2}{7}$

Multiply through by 2

$Ratio = \frac{2*2}{7*2} = \frac{4}{14}$

Multiply through by 3

$Ratio = \frac{2*3}{7*3} = \frac{6}{21}$

Multiply through by 5

$Ratio = \frac{2*5}{7*5} = \frac{10}{35}$

Hence, the equivalents are: $\frac{4}{14}, \frac{6}{21}, \frac{10}{35}$

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

$Ratio = 1.5 * 2\ to\ 3.5 * 2$

$Ratio = 3\ to\ 7$

Multiply by 3

$Ratio = 1.5 * 3\ to\ 3.5 * 3$

$Ratio = 4.5\ to\ 10.5$

Multiply by 4

$Ratio = 1.5 * 4\ to\ 3.5 * 4$

$Ratio = 6\ to\ 14$

Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

$Ratio = 6.25/5\ to\ 1.25/5$

$Ratio = 1.25\ to\ 0.25$

Multiply by 2

$Ratio = 6.25*2\ to\ 1.25*2$

$Ratio = 12.5\ to\ 2.5$

Multiply by 4

$Ratio = 6.25*4\ to\ 1.25*4$

$Ratio = 25\ to\ 5$

Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

$Ratio = 3 : 3\frac{1}{2}$

Multiply by 2

$Ratio = 3 *2: 3\frac{1}{2}*2$

$Ratio = 6: 7$

Multiply by 4

$Ratio = 3 *4: 3\frac{1}{2}*4$

$Ratio = 12: 14$

Multiply by 6

$Ratio = 3 *6: 3\frac{1}{2}*6$

$Ratio = 18: 21$

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

$Ratio = 1\frac{2}{3} : \frac{5}{4}$

Convert mixed fraction to improper fraction

$Ratio = \frac{5}{3} : \frac{5}{4}$

Multiply by 2

$Ratio = \frac{5}{3}*2 : \frac{5}{4}*2$

$Ratio = \frac{10}{3} : \frac{5}{2}$

Multiply by 3

$Ratio = \frac{5}{3}*3 : \frac{5}{4}*3$

$Ratio = 5 : \frac{15}{4}$

Multiply by 12

$Ratio = \frac{5}{3}*12 : \frac{5}{4}*12$

$Ratio = 20 : 15$

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

5 0

3 years ago

Graph A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line?

3241004551 [841]

Answer:

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

7 0

3 years ago

Suppose that four men and four women will be randomly lined up, from left to right, with all possible orderings of these eight p

Musya8 [376]

Answer:

P = 1 / 40320 or P = 2.48*10⁻⁵

Step-by-step explanation:

The total number of outcomes To is:

To = 8! To = 8*7*6*5*4*3*2

To = 40320

Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:

P = 1 / 40320 or P = 2.48*10⁻⁵

6 0

3 years ago

Evaluate y/4-2y-3 when y = -4

Nastasia [14]

Answer:

Step-by-step explanation:

Hope that helps!

7 0

3 years ago

Read 2 more answers

Parker is working two summer jobs, making $11 per hour lifeguarding and $22 per hour tutoring. Last week Parker worked a total o

damaskus [11]

Answer:

10 hours lifeguarding, 6 hours tutoring

Step-by-step explanation:

As you know how long he worked and how much he earned, it's worth seeing how many hours it would have been had he worked just tutoring or just lifeguarding.

$242 / 11 = 22 hours if it was just lifeguarding

$242 / 22 = 11 hours (as it's exactly double the wage) if it was just tutoring

We now know that he worked some combination of both

Calculating his average wage can help work out which he worked more of:

$242 / 16 = 15.125

That means Parker's average hourly wage was 15.125 which is closer to 11 than 22 (16.50 would mean an exactly even split between the two) so he did more hours lifeguarding than tutoring so more than 8 hours.

What I then do is consider the variations that could work:

9 (lifeguarding) and 7 (tutoring) = 99 + 154 = 243

So we're almost exactly there straight away, but not quite so...

10 and 6 = 110 + 132 = 242

There you have it.

8 0

3 years ago

Read 2 more answers