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4 years ago

Given the ordered pair P(1, -3), determine the requested secant, cosecant, or cotangent of angle ?. Cot ? = _____

1 answer:

5 0

$\bf P(\stackrel{x}{1},\stackrel{y}{-3})\qquad \qquad cot(\theta )=\cfrac{\stackrel{\stackrel{adjacent}{x}}{1}}{\stackrel{\stackrel{opposite}{y}}{-3}}$

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I thought of a number, multiplied it by 2 1/2 , divided the result by 1 1/5 , subtracted 7/18 from it, and got 1 5/6 . What was

motikmotik

To figure out what the number is, just do the inverse operations in the opposite order:

Start by adding 7/18 to 1 5/6, which gives you 2 2/9.

Next, multiply 2 2/9 by 1 1/5, which gives you 2 2/3.

Finally, divide 2 2/3 by 2 1/2, which gives you 1.06666...

Therefore, the number you thought of is 1.06666...

Hope this helps! :)

8 0

3 years ago

The product of two 2-digit factors whose product is greater than 200 but less than 600

IRINA_888 [86]

10 × 30 = 300
(20 characters thing)

4 0

3 years ago

The region in the first quadrant bounded by the x-axis, the line x = In(pi), and the curve y = sin(ex) is rotated about the x-ax

Basile [38]

Answer:

Step-by-step explanation:

Please refer to the graph below.

So, we want to find the volume of the solid generated by revolving the green area about the x-axis.

We can use the disk method. The disk method is given by:

$\displaystyle V=\pi\int_a^bR(x)^2\, dx$

Where R(x) is the radius or height of the representative rectangle.

We are integrating from x = 0 to x = ln(π). The height of a representative rectangle is given by y. Therefore, the volume is:

$\displaystyle V=\pi\int_0^{\ln(\pi)}(\sin(e^x))^2\, dx$

Simplify:

$\displaystyle V=\pi\int_0^{\ln(\pi)}\sin^2(e^x)\, dx$

Approximate. So, the volume of the generated solid is:

$V\approx 2.498\text{ units}^3$

The solid is shown in the second figure.

(Courtesy of WolframAlpha.)

7 0

3 years ago

Find the slope from the pair of points:

serious [3.7K]

Answer:

1. -10

2. -5/3

3. -10

4. 5/3

5. 3

6. 4/10

7. 2/5

8. 10/7

9. 1/2

10. -9/2

Step-by-step explanation:

slope equals y2 - y1 over x2 -x1

5 0

3 years ago

Read 2 more answers

Tickets for 2 adults and 4 children at a theme park cost £152.

Tresset [83]

Step-by-step explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.

5 0

3 years ago

Read 2 more answers