Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 over q and tan y° = 7 over r, what is the value of sec y°?
sec y° = q over r
sec y° = 7r
sec y° = 7q
sec y° = r over q

Answers

Answer 1

Answer:

[tex]\sec y=\dfrac{q}{r}[/tex]

Step-by-step explanation:

Given that,

[tex]\sin y=\dfrac{7}{q}[/tex]

and

[tex]\tan y=\dfrac{7}{r}[/tex]

We need to find the value of [tex]\sec y[/tex]. We know that,

[tex]\sec\theta=\dfrac{1}{\cos\theta}[/tex]

Also,

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\cos\theta=\dfrac{\sin\theta}{\tan\theta}[/tex]

Substitute all the values,

[tex]\cos y=\dfrac{\dfrac{7}{q}}{\dfrac{7}{r}}\\\\=\dfrac{7}{q}\times \dfrac{r}{7}\\\\\cos y=\dfrac{r}{q}[/tex]

So,

[tex]\sec y=\dfrac{1}{\dfrac{r}{q}}\\\\\sec y=\dfrac{q}{r}[/tex]

So, the correct option is (a) i.e. [tex]\sec y=\dfrac{q}{r}[/tex].


Related Questions

Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Do not do any rounding.

Answers

Answer:

[tex]Cold = \frac{1}{6}\ mins[/tex]

Step-by-step explanation:

The correct given parameters are:

[tex]Both = \frac{1}{4}\ mins[/tex]

[tex]Hot = \frac{1}{12}\ mins[/tex]

Required

Time taken by the cold water faucet

We have:

[tex]Cold + Hot = Both[/tex]

Make Cold the subject

[tex]Cold = Both -Hot[/tex]

So, we have:

[tex]Cold = \frac{1}{4}-\frac{1}{12}[/tex]

Take LCM

[tex]Cold = \frac{3-1}{12}[/tex]

[tex]Cold = \frac{2}{12}[/tex]

Divide by 2

[tex]Cold = \frac{1}{6}[/tex]

−3 1​/2 ÷ 1 1/4
khan academy
answer in simplified proper fraction
or
simplified improper fraction

Answers

Answer:

Step-by-step explanation:

Change the mixed numbers to improper fractions.

Use the functions below to complete Parts 1 and 2.

f(x)= |x| g(x)= |x+2| - 3

Part 1: Graph f(x) and g(x) on the grid below. Label each graph.

HINT: Making a table of values for each function may help you to graph them.

Part 2: describe how the graph of g(x) relates to the graph of its parent function, f(x).

HINT: Think about how f(x) was shifted to get g(x).

Answers

9514 1404 393

Answer:

  1. see below

  2. g(x) is f(x) translated left 2 and down 3

Step-by-step explanation:

1. The graphs are attached. F(x) is in red; g(x) is in blue.

__

2. The graph of g(x) = f(x -h) +k is the parent function translated by (h, k). Here we have (h, k) = (-2, -3), so g(x) is f(x) translated left 2 and down 3.

Umm.. Hi there! Can someone please help me out with this? (only for those who know the answer)

Bcoz I really need this rn :(


DUEEEE AFTERRR LUNCHH! :(:(:(:(


If your answer is NONSENSE it will be deleted as soon as possible!

But if your answer is CORRECT, HELPFUL, HAS AN EXPLANATION, I'll chose your answer as the BRAINLIEST ANSWER!

Answers

Answer:

The Exterior Angle of triangle LDR is angle d. The Remote Interior Angles are a and b.

The Exterior Angle of triangle PDR is angle 4. The Remote Interior Angles are angles 1 and 2

Explanation:

Interior angles are the angles that are inside the shape. The remote interior angles would be the 2 angles away from the exterior angle.

The exterior angle is the angle, made by the side of the shape and a line drawn out from an adjacent side.

I hope this helps!

Answer:

In LDR

Exterior = d Interior = a, b

In PDR

Exterior = 4Interior = 1, 2

Exterior angle of a triangle is formed when one side of the triangle is extended .

Interior remote angles the angles in the triangle that do not lie on the extended side.

write your answer in simplest radical form​

Answers

9514 1404 393

Answer:

  f = 3 units

Step-by-step explanation:

The ratios of side lengths in this 30°-60°-90° triangle are ...

  1 : √3 : 2

So, the ratio of interest is ...

  1 : √3 = √3 : f

We can see that the numbers in the second ratio are √3 times the numbers in the first ratio, so

  f = √3 × √3 = 3

  f = 3 units

. Mildred bought an old
necklace and pair of earrings
while at an antique show. If
the cost of the jewelry is ]
and tax is 7%, which of the
following equations could be
used to find the total cost of
the jewelry?
a. .07 + ]
b. J +.07 x)
C. (.07x)) + ]
d. 7) + ]

Answers

Answer:

j * .07 +j

Step-by-step explanation:

The tax on the jewelry is J* .07

Add the tax to the cost of the jewelry to get the total cost

j * .07 +j

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 23 ft/s. The ball's height h (in feet) after 1 seconds is given by the following.
h = 7+23t-16t^2
Find all values of 1 for which the ball's height is 15 feet.

Answers

Answer:

Step-by-step explanation:

If we are looking for the time(s) that the ball is at a height of 15, we simply sub in a 15 for the height in the position equation and solve for t:

[tex]15=-16t^2+23t+7[/tex] and

[tex]0=-16t^2+23t-8[/tex]

Factor this however you factor a quadratic in class to get

t = .59 seconds and t = .85 seconds.

This means that .59 seconds after the ball was thrown into the air it was 15 feet off the ground. Then the ball reached its max height, gravity took over, and began pulling it back down to earth. The ball passes the height of 15 feet again on its way down after .85 seconds.

What is the product?
(-2d^2+5)(5d^2-6s)

Answers

Answer:

= -10d^4 + 12d^2s + 25d^2 - 30s

I need help with this it is very confusing.

Answers

Answer:

Part A: 90 + 6x = 108

Part B: 3

Step-by-step explanation:

Part A:

Variable x = number of movie tickets purchased

18 × 5 + 6x = 108

90 + 6x = 108

Part B:

Variable y = number of people

18y + 1(7) = 61

18y + 7 = 61

18y = 54

y = 3

There were 3 people in this group.

Simplify 3/4 + 5/8 over 3/4 - 1/2

Answers

Answer:

11/2

Step-by-step explanation:

[tex]\frac{\frac{3}{4} + \frac{5}{8} }{\frac{3}{4} - \frac{1}{2} }[/tex]

= 3/4 + 5/8 = 11/8 (take LCM)

3/4 - 1/2 = 1/4 (take LCM)

11/8 ÷ 1 /4

= 11/8 x 4

= 11/2

Answered by Gauthmath

Suppose a jar contains 9 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the jar at
the same time, find the probability that both marbles are red. Round your answer to four decimal places.

Answers

Answer:

0.0306

Step-by-step explanation:

I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.

The first draw gives

9/49

Their is no replacement. That's because both marbles are drawn together. The second draw is

8/48

P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306

There is a triangular number that has 55 dots in its shape. Which one is it? Write your answer as a number.

The triangular number that has 55 dots in its shape is the
-th triangular number.

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

The n-th triangular number is given by ...

  t(n) = n(n+1)/2

We went to find n when t(n) = 55.

  55 = n(n+1)/2

  110 = n(n+1)

Adding 1/4 completes the square.

  110.25 = (n +0.5)^2

  √110.25 = n+0.5 . . . . . we are interested in the positive value of n

  n = 10.5 -0.5 = 10

The triangular number that has 55 dots in its shape is the 10-th number.

__

Additional comment

Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.

A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.

What is the solution to this equation?
6
O A. x = 18
O B. x= -2
O c. x= -18
O D. X= 21

Answers

Answer:

O C. x = -18

Step-by-step explanation:

x/-3 = 6

x = denominator multiplied by quotient.

x = -3 x 6

x = -18

Someone please help me I’m having trouble!!!!

Answers

Answer:

(c) [tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]

(d) [tex](x,y) = (0.67,2.33)[/tex]

Step-by-step explanation:

Given

See attachment

First, we complete the table

[tex]y = -x + 3[/tex]                                               [tex]y = 2x + 1[/tex]

[tex]y = -0.6 + 3 = 2.4[/tex]                                   [tex]y = 2 * 0.6 + 1 = 2.2[/tex]

[tex]y = -0.7 + 3 = 2.3[/tex]                                   [tex]y = 2 * 0.7 + 1 = 2.4[/tex]

[tex]y = -0.8 + 3 = 2.2[/tex]                                   [tex]y = 2 * 0.8 + 1 = 2.6[/tex]

[tex]y = -0.9 + 3 = 2.1[/tex]                                   [tex]y = 2 * 0.9 + 1 = 2.8[/tex]

So, we have:

[tex]\begin{array}{ccc}x & {y = -x + 3} & {y = 2x + 1} & {0.5} & {2.5} & {2} & {0.6} & {2.4} & {2.2} & {0.7}&{2.3} & {2.4} & {0.8}&{2.2} & {2.6} & {0.9}&{2.1} & {2.8} & {1}&{2} & {3} \ \end{array}[/tex]

Solving (c): Between which values is y

The values of y are for both equations are closest at:

[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]

Hence, the solution is between

[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]

Solving (d): Approximated value of the solution

We have:

[tex]y = -x + 3[/tex]

[tex]y = 2x + 1[/tex]

[tex]y=y[/tex]

So:

[tex]-x + 3 = 2x + 1[/tex]

Collect like terms

[tex]2x + x = 3 - 1[/tex]

[tex]3x= 2[/tex]

Divide both sides by 3

[tex]x = 0.67[/tex]

Substitute [tex]x = 0.67[/tex] in [tex]y = -x + 3[/tex]

[tex]y =-0.67 + 3[/tex]

[tex]y =2.33[/tex]

So, the solution is:

[tex](x,y) = (0.67,2.33)[/tex]

The number 0 is a critical point of the autonomous differential equation dx/dt = 7xn, where n is a positive integer. For what values of n is 0 asymptotically stable? Semi-stable? Unstable?

Answers

Answer:

a) 0 is stable when n = odd

b) 0 is semi-stable when n = even

c) 0 is unstable when n is odd

Step-by-step explanation:

Th differential equation for this question

dx/dt = x^n

n = positive integer

a) value of n where 0 is stable

0 is stable when x^n is replaced with -x^n

because considering n to be an odd number

-x^n > 0 when x < 0    while -x^n < 0 when x > 0

∴ In this scenerio we can conclude that 0 is stable when  n = odd number

b) Value of n where 0 is Semi-stable

assuming n is an even number

x^n > 0  for all the values of x

c) Value of n where 0 is unstable

lets assume n is odd

when n < 0,  xⁿ < 0

when n > 0,  xⁿ > 0

i.e. 0 is asymptotically unstable when n is an odd number

People's movements between places is called

Answers

Answer:

The three answers I can think of are migration, immigration, and emigration.

Step-by-step explanation:

Hope this helps!

spatial interaction. The movement ( e.g. of people, goods, information ) between different places; an indication of interdependence between different geographic locations or areas

find c.round to the nearest tenth

Answers

Answer:

we need a picture...

Step-by-step explanation:

By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be less than a total of 4 accidents during that week

Answers

Answer:

The right answer is "0.70".

Step-by-step explanation:

The given query seems to be incomplete. Please find below the attachment of the full query.

By using the Bayes' theorem, we get

⇒  [tex]P[(X<4)|(X \geq 2)] = \frac{P(2 \leq X < 4)}{P(X \geq 2)}[/tex]

By putting the values, we get

                                     [tex]=\frac{[P(2)+P(3)]}{[1-P(0)-P(1)]}[/tex]

                                     [tex]=\frac{(0.20+0.15)}{1-0.20-0.30}[/tex]

                                     [tex]=\frac{0.35}{0.5}[/tex]

                                     [tex]=0.70[/tex]

I need help finding the answer to this question on edge.

Answers

Answer:

6

Step-by-step explanation:

We need to evaluate :-

[tex]\rm\implies \displaystyle\rm\sum^4_n (-1)^n (3n + 2 ) [/tex]

Here the [tex]\Sigma[/tex] is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,

[tex]\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2) [/tex]

Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,

[tex]\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)[/tex]

Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,

[tex]\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}[/tex]

Hence the required answer is 6.

Lisa reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:

A graph titled Lisas Book Reading shows Number of Weeks on the x-axis and Number of Pages Left on the y-axis. The scale on the x-axis shows numbers from 0 to 6 at increments of 1, and the scale on the y-axis shows numbers from 0 to 350 at increments of 50. A straight line joins the ordered pairs 0, 250 and 1, 200 and 2, 150 and 3, 100 and 4, 50 and 5, 0.

Which equation best models the relationship between x and y?

y = −50x + 250
y = −5x + 50
y = −50x + 350
y = −5x + 250

Answers

9514 1404 393

Answer:

  (a)  y = −50x + 250

Step-by-step explanation:

In case you don't realize that the graph starts at 250 and decreases by 50 for each increase of 1 in x, you can see if any of the equations match the given points. The only one that does is the first one:

  y = -50x +250

Answer:

(a)  y = −50x + 250

Step-by-step explanation:

HELPP PLEASEEEEEEEEEEEEEEEEEEEEEE

The sum of 6 and 12 divided by 9.

Answers

6 + 12 = 18
18/9 = 2

The answer is 2

Hope this helps
6+(12/9)=7.33333333333

Fraction in simplest form

Answers

9514 1404 393

Answer:

  27/64

Step-by-step explanation:

The fraction being cubed is already in simplest form, so the cube is ...

  [tex]\left(\dfrac{3}{4}\right)^3=\dfrac{3^3}{4^3}=\boxed{\dfrac{27}{64}}[/tex]

Determine if the two figures are congruent and explain your answer.

Answers

Answer: Yes they are

Explanation: All respective sides have the same slope
Yes they are

The slope of the shapes are congruent.

There are 40 children in a classroom and n of them do not wear spectacles. (4)/(5) of the boys and (2)/(3) of the girls wear spectacles. Express the number of boys who wear spectacles in terms of n.

Answers

9514 1404 393

Answer:

  b = 80 -6n . . . . boys who wear spectacles

Step-by-step explanation:

We know the ratio of boys who wear spectacles to those who don't is ...

  (4/5) : (1 -4/5) = 4 : 1

If we let b represent the number of boys who wear spectacles, then the number who don't is b/4. Then total number of boys is then b +b/4 = 5b/4. The number of girls in the classroom is this number less than 40.

Let's define a few groups:

boys who wear spectacles: bboys who do not wear spectacles: b/4girls who wear spectacles: (2/3)(40 -5b/4)girls who do not wear spectacles (1/3)(40 -5b/4)

Then the total of children who do not wear spectacles is ...

  n = b/4 +(1/3)(40 -5b/4)

  12n = 3b +(160 -5b) = 160 -2b . . . . multiply by 12

  2b = 160 -12n . . . . . . . . . . . . . add 2b-12n

  b = 80 -6n . . . . the desired relation, b = boys who wear spectacles

_____

Additional comment

The only values of n that make sense in this context are {8, 10, 12}, corresponding to {0, 15, 30} total girls and {40, 25, 10} total boys.

Suppose f(x)=x^2. What is the graph of g(x)=1/2f(x)?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph of g(x) is a vertically scaled version of the graph of f(x). The scale factor is 1/2, so vertical height at a given value of x is 1/2 what it is for f(x). This will make the graph appear shorter and fatter than for f(x).

The graph of g(x) is attached.

Which statement is true about the net and the solid it can form?



A. The length of side a will be 5 m.

B. The length of side b will be 2 m.

C. The length of side c will be 7 m.

D. The length of side c will be 2 m.

Answers

Step-by-step explanation:

Option B

The length of side will be 2m...

hope it helps

The answer is C hope it help

Solve the rational equation:

Answers

Answer:

Step-by-step explanation:

C. f(x) will be a very small negative number, approaching -∞

If Sultan Akbar goes to the Grand Bazaar With 8000 Rupees and 20% is spent on a carpet, how much has the carpet cost him?

Si el sultan Akbar va al Gran Bazar Con 8000 Rupias y se gasta el 20 % en una alfombra, cuanto le ha costado la alfombra?

Answers

Answer:

1600 Rupees

Step-by-step explanation:

20 divided by 100 times 8000 will give you 1600 so the carpet costed him 1600

Write the monomial in its standard form. Name its coefficient and
identify its degree:
2
3
2 mºn :4.573

Answers

Answer:

A monomial in standard form is (essentially) the product of one or more factors: a constant coefficient and one factor for each variable in the expression.

Step-by-step explanation:

For example, in the monomial 4x2y3, the factors are 4, x2, and y3. First, the coefficient is 4. The next factor, x2, is the x-factor, whose degree is 2.

Evaluate − x 2 −5 y 3 when x = 4 and y =−1

Answers

Answer:

-11

Step-by-step explanation:

I am going to assume that it is -x^2-5y^3.

-(4^2)-5(-1^3)

-16-5(-1)

-16+5

-11

Answer:

- 11

Step-by-step explanation:

If x = 4,  y = -1

then,

        - x^2 - 5y^3 = - (4)^2 - 5(-1)^3

                            = - 16 + 5

                            = - 11

Other Questions
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How manytimes bigger did the new surface area get?c) Now triple all three dimensions of your orginal prism. Find the new Surface Area (S3) of the prism. Next divide S3/S1. How many times bigger did the new surfacearea get? What happens to the surface area when you double all of the dimensions of a 3-Dimensional figure?Click "Create Journal Entry" to enter your answer. Describe What You See in the PlacardWhich cause/s of New Imperialism does the Placard represent?Explain Why You Chose the Cause/s? Evaluate the function.f(x) = -4x2 + 5xFind f(6) "Unhappy it is though to reflect that a Brother's Sword has been she athed in a Brother's Breast," he observed,"and that the once happy and peaceful plains of America are either to be drenched with blood, or inhabited bySlaves. 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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 2 million barrels of oil in the well; six years later 1,000,000 barrels remain.Required:a. At what rate was the amount of oil in the well decreasing when there were 1,200,000 barrels remaining? b. When will there be 100,000 barrels remaining? A monopolist that practices perfect price discrimination:_________.A. charges each consumer the rnaximum price the consumer is willing to pay. B. drives consumer surplus to zero C. produces the perfectly competitive level of output. D. All of the above are correct. E. Only A and B are correct. Evaluate the expression 4 + 9(3 + 11) - 15*2 using order of operations.the 2 is an exponet 1. The parameter "a": Compare the graphs of several different exponential growth functions inMathematica to discover the significance of the parameter "a". 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