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Semmy [17]
2 years ago
11

The diagram shows a right-angled triangle.

Mathematics
1 answer:
amm18122 years ago
4 0

The length of the hypotenuse and the opposite side to angle<em> </em><em>x</em> of the right triangle are 8 cm and 3 cm respectively, which gives angle <em>x </em>as approximately 22.0°

<h3>Which of the trigonometric ratios can be used to find x°?</h3>

A description of the parts of the triangle are;

Length of the hypotenuse side = 8 cm

Length of the opposite side to <em>x°</em><em> </em>= 3 cm

The trigonometric ratio of the sine of x° is presented as follows;

sin(x) =  \frac{Opposite}{Hypotenuse}

Therefore;

sin(x) =  \frac{3}{8}

Which gives;

{x}^{ \circ}  = arcsine \left( \frac{3}{8}  \right)  \approx  {22.0}^{ \circ}

  • Angle<em> </em><em>x </em>≈ 22.0°

Learn more about trigonometric ratios of the cosine, sines, and tangent of angles here:

brainly.com/question/12172664

#SPJ1

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3 years ago
1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Anna11 [10]

Answer:

1.D) Procedure results in a binomial distribution.

2. B) Procedure results in a binomial distribution.

Step-by-step explanation:

The binomial distributions has following properties.

  • There is always one of the  two outcomes success or failure possible.
  • The probability of p remains constant for all trials.
  • The successive trials are all independent.
  • The experiment is repeated for a fixed number of times.

If the experiment has the above properties it has binomial probability distribution.

In the given question both experiments have the above mentioned properties.

Both procedure result in binomial distribution.

3 0
3 years ago
The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
Crank

Answer:

(A)x^2+y^2-10x-12y+60=0

Step-by-step explanation:

The standard form of the equation of a circle is given as:

(x-5)^2+(y-6)^2=1

Simplifying the above given equation, we get

x^2+25-10x+y^2+36-12y=1

x^2+y^2-10x-12y+36+25=1

x^2+y^2-10x-12y+61=1

x^2+y^2-10x-12y+60=0

which is the required general form of the equation.

Hence, option A is correct.

3 0
3 years ago
A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.
scZoUnD [109]

Answer: The required ratio will be

84:1034

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

2x=30\\\\x=\frac{30}{2}=15\ inches

So, Length of AD becomes

3x=3\times 15=45\ inches

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

\frac{30}{2}=15\ inches

So, Area of semicircle along AB and CD is given by

2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2

Radius of semicircle along AD is given by

\frac{45}{2}=22.5\ inches

Area of semicircle along AD and BC is given by

2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2

And the combined area of the semicircles is given by

\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2

Area of rectangle is given by

Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034

Hence, the required ratio will be

84:1034

8 0
3 years ago
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