What is 2/6 x 3/9 i need help

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational

Katarina [22]

Answer:

$\displaystyle \sec A=\frac{65}{63}$

Step-by-step explanation:

We are given that:

$\displaystyle \csc A=\frac{65}{16}$

Where A is in QI.

And we want to find sec(A).

Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:

$a=\sqrt{65^2-16^2}=\sqrt{3969}=63$

So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.

Since A is in QI, all of our trigonometric ratios will be positive.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

$\displaystyle \sec A=\frac{65}{63}$

6 0

3 years ago

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Kishore bought a basket containing 30 orangs for rs 310. If he sells the orangs at rs 12 each , what Would be it's profit or los

iris [78.8K]

Given : Kishore bought a basket containing 30 oranges for rs 310. If he sells the oranges at rs 12 each , what Would be it's profit or loss?

Solution :

Cost price of oranges = rs.310

As we know that each oranges cost rs.12

So, selling price of oranges is 30 × 12 = rs.360

Now, finding profit or loss

Profit = Selling Price - Cost Price

Profit = rs.360 - rs.310

Profit = rs.50

So, the profit is ₹50

7 0

3 years ago

At the center of espionage in Kznatropsk one is thinking of a new method for sending Morse telegrams. Instead of using the tradi

alexgriva [62]

Answer:

It takes less time sending 5 letters the traditional way with a probability of 36.7%.

Step-by-step explanation:

First we must take into account that:

- The traditional method is distributed X ~ Poisson(L = 1)

- The new method is distributed X ~ Poisson(L = 5)

$P(X=x)=\frac{L^{x}e^{-L}}{x!}$

Where L is the intensity in which the events happen in a time unit and x is the number of events.

To solve the problem we must calculate the probability of events (to send 5 letters) in a unit of time for both methods, so:

- For the traditional method:

$P(X=5)=\frac{1^{5}e^{-1}}{1!}\\\\P(X=5) = 0.367$

- For the new method:

$P(X=5)=\frac{5^{5}e^{-5}}{5!}\\\\P(X=5) = 0.175$

According to this calculations we have a higher probability of sending 5 letters with the traditional method in a unit of time, that is 36.7%. Whereas sending 5 letters with the new method is less probable in a unit of time. In other words, we have more events per unit of time with the traditional method.

7 0

3 years ago

Check out this right triangular prism: Find the surface area of the right triangular prism (above) using its net (below). units2

RoseWind [281]

Answer:

96 squared units

Step-by-step explanation:

Please find attached the diagram used in answering this question

The surface area is equal to the area of each shape

Area of a triangle = Area of a triangle = 1/2 x ( base x height)

1/2 x 2 x 3= 3

there are 4 triangles, area of both triangles = 3x4 = 12

Area of rectangle = length x width

Area of middle rectangle = 6 x 7 = 42

Area of two side rectangles = (3 +3) x 7 = 42

surface area = 42 + 42 + 12 = 96

7 0

3 years ago

Hailey sold 20 tickets to the school play for a total of 225$.Early bird tickets were 10$ and regular priced tickets were 15$.Wr

dlinn [17]

Answer:

The system of equation are $\left \{ x+y=20} \atop {10x+15y=225}} \right.$

The number of early bird tickets are 15 and of regular tickets are 5.

Step-by-step explanation:

Given,

Total number of tickets = 20

Total amount = $225

Solution,

Let the number of early bird tickets be 'x'.

And also let the number of regular tickets be 'y'.

Now total number of tickets is the sum of number of early bird tickets and number of regular tickets.

So framing in equation form, we get;

Total number of tickets = number of early bird tickets + number of regular tickets

$x+y=20\ \ \ \ equation\ 1$

Again, Total amount is the sum of number of early bird tickets multiplied with price of each ticket and number of regular tickets multiplied with price of each ticket.

So framing in equation form, we get;

$10x+15y=225\ \ \ \ \ equation\ 2$