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1 year ago

How do I determine the legs of AY IF RAY is 30 -60-60 triangle and RY has the length of 48 cm

Mathematics

1 answer:

Jet001 [13]1 year ago

5 0

We have to apply the trigonometric formula:

Cos b = adjacent side / hypotenuse

Where b is the angle ( 30), adjacent side is AY (missing side) and the hypotenuse is RY=48 cm.

Replacing:

Cos 30 = AY / 48

Solve for AY

AY = Cos 30° (48)

AY = 41.57 cm = 24 √3 cm

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Trigonometry

Nadusha1986 [10]

55° is equal to 0.9599 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ radians.

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$ .

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)( $\frac{\pi}{180}$ ).

Step 2:

To convert 50°,

$55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.$

$0.3055 (\pi) =0.9599$ radians.

So 55° is equal to 0.9599 radians.

7 0

3 years ago

Read 2 more answers

How do you get the answer88-43.7

koban [17]

Since 88 has no decimal, you would but a zero behind it and then subtract. You have to borrow from the 8 (make it a 7) and make zero 10. Then subtract. 10-7=3, 7-3=4, 8-4=4. Your answer will be 44.3

6 0

3 years ago

Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6

Sveta_85 [38]

Answer:

$B=7x^4$

Step-by-step explanation:

The given equality is

$-35x^6=(-5x^2)B$

Take the term $(-5x^2)$ to the left hand side. This means the term $-35x^6$ will be divided by $(-5x^2)$

$\dfrac{-35x^6}{(-5x^2)}=B$

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

$\dfrac{35x^6}{(5x^2)}=B$

Now $5\times 7=35$ and $x^{6-2}=x^4$

$7x^4=B$

So, the missing factor $B=7x^4$

4 0

3 years ago

Evaluate the following if k=0.5, n=-3, and p=-2: K+n(p^2)

ivann1987 [24]

Answer:

-11.5

Step-by-step explanation:

$K + n( {p}^{2} ) \\ \\ plug \: K = 0.5, \: n = - 3, \: p = - 2 \\ \\ K + n( {p}^{2} ) \\ \\ = 0.5 + ( - 3) \{ {( - 2)}^{2} \} \\ \\ = 0.5 - 3 \{ 4 \} \\ \\ = 0.5 - 12 \\ \\ = - 11.5$

5 0

3 years ago

Please help this question.

sergejj [24]

Answer:

a). 59.049°C

b). 2.1179 seconds

Step-by-step explanation:

Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,

T = $100(0.9)^{x}$

where x = duration of cooling

a). Temperature when x = 5 seconds

T = 100(0.9)⁵

= 59.049

≈ 59.049°C

b). If the temperature of the metal decreases from 100°C to 80°C

Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds

80 = $100(0.9)^{x}$

0.8 = $(0.9)^{x}$

By taking log on both the sides

log(0.8) =log[ $(0.9)^{x}$ ]

-0.09691 = x[log(0.9)]

-0.09691 = -0.045757x

x = $\frac{0.09691}{0.045757}$

x = 2.1179

x ≈ 2.1179 seconds

3 0

3 years ago