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1 year ago

Solve for indicated side. Round to the nearest hundredth. b = 19 48

Mathematics

1 answer:

mr Goodwill [35]1 year ago

3 0

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of b is 50.76 units.

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

$\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}$

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The value of c can be found by using the cosine function of trigonometry, therefore, the value of b is,

Cos(19°) = 48/b

b = 48/Cos(19°)

b = 50.76579 ≈ 50.76 units

Hence, the value of b is 50.76 units.

Learn more about Trigonometric functions:

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Alice bought a 2-foot sub sandwich.The sandwich was cut into 10 pieces. Beth ate 1/5 of the sandwich , Camila ate 3/10 of the sa

Sholpan [36]

Answer:

5/10 or 1/2

Step-by-step explanation:

Beth ate 2/10 so 2/10+3/10+2/10=5/10=1/2

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3 years ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

elena-14-01-66 [18.8K]

Answer: Find the lowest common denominator of the 2 denominators

Step-by-step explanation:

The common in both denominator is 15.

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5: 5,10,15,20,25.30,35,40,43,50

Since 5x3 is 15, 1/5 x 3/3= 3/15

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3/15 is equivalent to 1/5 and 10/15 is equivalent to 2/3.

3/15 + 10/15 is equal to 13/15

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Hope this helped! Have a nice day! :D

3 0

2 years ago

Help!! <br> find the volume of the figure below

ExtremeBDS [4]

318.5

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3 years ago

Read 2 more answers

This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

An airplane flies from City 1 at (0, 0) to City 2 at (33, 56) and then to City 3 at (23, 32). What is the total number of miles

uranmaximum [27]

Answer:

The airplane flies 95 miles.

Step-by-step explanation:

First we need to find the distance for the first segment using the formula for distance $D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$ . Let's say $(x_{1},y_{1})$ is (0, 0) and $(x_{2},y_{2})$ is (33, 56). This gets us that the length of this segment is 65 miles.
Next, we need to find the distance for the second segment. Using the same formula for distance $D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$ , we can say $(x_{1},y_{1})$ is now (33, 56) and $(x_{2},y_{2})$ is now (23, 32). This gets us that the length of this segment is 26 miles.
To get the total distance traveled, add the length of these two segments together (65 miles + 26 miles) to get 91 total miles traveled.

7 0

2 years ago

Read 2 more answers

Solve for indicated side. Round to the nearest hundredth. b = 19 48​

Solve for indicated side. Round to the nearest hundredth. b = 19 48