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2 years ago

Solve for y. Round to the nearest whole degree.

Mathematics

1 answer:

mestny [16]2 years ago

7 0

Answer:

68°

Step-by-step explanation:

From sin rule:

a / sin A = b / sin B = c / Sin C

b /sin B = c / Sin C

250 / sin y = 200 / sin 48

Cross multiply :

200 * siny = 250 * sin 48

Sin y = 185.78620 / 200

Sin y = 0.9289310

y = sin^-1(0.9289310)

y = 68.268790

y = 68°

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Find the missing side. Round to the nearest tenth.

Firdavs [7]

Answer: <em>23.7</em>

Step-by-step explanation:

<em>Let's calculate the acute angle at the base of the triangle:</em>

$\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7$

5 0

2 years ago

David leaves reading at 11 45am. he arrives at cardiff at 1 45pm. david drives at an average speed of 56 miles per hour. work ou

yan [13]

Step-by-step explanation:

speed = distance/time

we know the speed and the time (11:45am to 1:45pm = 2 hours).

distance = speed × time = 56 m/h × 2 h = 112 miles

3 0

1 year ago

The equation t^3=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

ankoles [38]

Answer:

2√2

Step-by-step explanation:

We can find the relationship of interest by solving the given equation for A, the mean distance.

<h3>Solve for A</h3>

$T^3=A^2\\\\A=\sqrt{T^3}=T\sqrt{T}\qquad\text{take the square root}$

<h3>Substitute values</h3>

The mean distance of planet X is found in terms of its period to be ...

$D_x=T_x\sqrt{T_x}$

The mean distance of planet Y can be found using the given relation ...

$T_y=2T_x\\\\D_y=T_y\sqrt{T_y}=2T_x\sqrt{2T_x}=(2\sqrt{2})T_x\sqrt{T_x}\\\\D_y=2\sqrt{2}\cdot D_x$

The mean distance of planet Y is increased from that of planet X by the factor ...

2√2

8 0

1 year ago

Find the amount of $8000 for 3 years,compounded annually at 5% per annum. Also ,find the compound interest

Triss [41]

Answer:

$9261

$1261

Step-by-step explanation:

Principal: $8000

Interest rate: 5% PA compounded annually

Time: 3 years

Sum = $8000*(1.05)³ = $9261
Interest = $9261 - $8000 = $1261

3 0

3 years ago

84,267 nearest thousands

AleksAgata [21]

So the answer would be 84,000. hope that helped

4 0

3 years ago

Read 2 more answers