All categories

1 year ago

Consider the right triangle in the figure below and determine the value of a, b, c, and d.

Mathematics

1 answer:

Goryan [66]1 year ago

8 0

The unknown values are as follows:

a = 48.7°

b = 51.43

c = 12.16

d = 122.39

<h3 />

<h3>Properties of a right angle triangle:</h3>One angle is equals to 90 degrees

The sides and angle can be calculated using trigonometric ratios

Therefore,

sin 72.3° = opposite / hypotenuse

sin72.3° = 49 / b

b = 49 / sin 72.3

b = 49 / 0.95266148125

b = 51.4348495916

b = 51. 43

a = (180 - 90 - 23.6) - (180 - 72.3 - 90)

a = 66.4 - 17.7

a = 48.7°

tan 23.6 = opposite /adjacent

tan 23.6 = 49 / c

c = 49 / tan 23.6

c = 112.158945248

c = 12.16

sin 23.6 = opposite /hypotenuse

sin 23.6 = 49 / d

d = 49 / sin 23.6

d = 49 / 0.40034903255

d = 122.39

learn more on right angle triangle: brainly.com/question/9445713?referrer=searchResults

You might be interested in

In right triangle ABC shown below, what is the<br> degree measure of ZC ?

Luden [163]

Answer:

90+30=120

180-120=60 this is degree measure

4 0

2 years ago

The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.

adell [148]

Length: w+4
Width:w
Perimeter:44
Area: L times w
P=44
44=2(w)+2(w+4)
44=2w+2w+8
44=4w+8
36=4w
w=9
L=w+4
L=9+4
L=13
Area should equal 117 cm squared

5 0

2 years ago

Help me pleaseeeeeee

xenn [34]

The functions of f(x) and g(x) are equivalent

7 0

2 years ago

Making coconut cookies. The recipe calls for 420 g of coconut and 120 g of sugar. Only has 252 g of coconut. How much sugar must

geniusboy [140]

Answer: 72 grams.

Step-by-step explanation:

Let be "s" the amount of sugar in grams that must be used for 252 grams of coconut to keep the same ratio of coconut to sugar.

Knowing that in the recipe for the coconut cookies, should be 420 grams of coconut and 120 grams of sugar, and you only have 252 grams of coconut, you can set up this proportion to find "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}$

Now, you need to solve for "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}\\\\s(\frac{420grams}{120grams})=252grams\\\\s=(252grams)(\frac{120grams}{420grams})\\\\s=72grams$

4 0

2 years ago

Yati has a coin box containing some coins. 40% of the coins are 20-cent coins and the rest are 50-cent coins.

lana66690 [7]

The fraction that should be removed is 1/5.

<h3>How to calculate the fraction?</h3>

It should be noted that from the information, 40% of the coins are 20-cent coins and the rest are 50-cent coins. Those that are 50 cent will be:

= 100 - 40%

= 60%

The fraction that's should be removed will be:

= 2/5 - x = 1/5

x = 2/5 - 1/5

x = 1/5

The fraction that should be removed is 1/5.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

7 0

1 year ago