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adell [148]
3 years ago
10

On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does f(x) achieve a minimum?

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...

In [2π, 4π), x = 7π/2

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The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inch
mariarad [96]
Let 
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer

we know that
(x)+(x+2)+(x+4)=201--------> 3x+6=201--------> 3x=195-------> x=65

the three <span>sides of triangle RIO are 
</span>x=65 in
x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in

then
69²=4761----------> c²
(65²+67²)=8714--------> a²+b²
c² < (a²+b²)---------> the triangle RIO is not obtuse
Is acute angle triangle

<span>statements 
1) </span><span>The triangle is obtuse--------> is false
</span>Is acute angle triangle
<span>
2) </span><span>The triangle is scalene-----> is correct
The three sides measures are diferent 

3)</span><span>The smallest side measures 61 inches--------> is false
</span><span>The smallest side measures 65 in
</span><span>
4)</span><span>The largest side measures 69 inches-------> is correct
</span><span>
5) </span><span>If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
</span><span>If triangle RIO is dilated of 1/3, then news sides are
</span>65/3------> 21.67 in
67/3-------> 22.33 in
69/3------> 23 in

the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false

Because the perimeter of the dilated triangle will be 134 units smaller

6 0
3 years ago
Read 2 more answers
Round to the nearest hundredth. Express 160 pounds in kilograms
Marrrta [24]

Answer:

72.57 kg

Step-by-step explanation:

1 pound = .453592 kg

1 * 160 = 160 pounds

.453592 * 160 = 72.5748 kg

5 0
3 years ago
Read 2 more answers
1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°
slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


8 0
3 years ago
Two walls have the same area. The first wall is in the shape of a square and has a height
STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

7 0
3 years ago
Classify the following triangle. Check all that apply
grandymaker [24]

Answer:

D, E

Step-by-step explanation:

All sides are not the same length so not A

Two sides are not the same length so not B

Not all angles are less than 90 so not C

All sides are different length so D

There is a right angle so E

Not all sides are greater than 90 so not F

4 0
3 years ago
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