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denis23 [38]
3 years ago
9

Turn these mixed numbers to fractions

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0
19/6 and 35/4...multiply the denominator by the whole number and add the value of the numerator. Then put that over the original denominator to get an improper fraction
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Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
4 years ago
If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of
seropon [69]

Answer:

0.347

Step-by-step explanation:

n = 3

p = 1/6

r = 1

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

P = ₃C₁ (1/6)¹ (5/6)³⁻¹

P = 0.347

Or, using a calculator:

P = binompdf(n, p, r)

P = binompdf(3, 1/6, 1)

P = 0.347

7 0
3 years ago
How much times can 6 go into 48
DENIUS [597]
6 can go into 48 8 times. How I figured out?
Start multiplying from a small number like
6×6= 36
6×7=42
6×8= 48
until you see your number 48, or a number that is lower that 48, but can not go any higher than 48.
6 0
3 years ago
PLS HELP ME PLS SOVLE THIS WITH THE LIKE TERMS I ONLY HAVE 25 MINS TO FINISH THIS
Basile [38]

Answer:

Step-by-step explanation:

Here are the 3 answers you needed :)!!!

8 0
3 years ago
Read 2 more answers
Eduardo and Paul are leaving the same airport in Florida. Eduardo’s flight to Jamaica is 273 miles long. Paul's flight to Hondur
k0ka [10]

Answer:

B. 41.8° is the correct answer

Step-by-step explanation:

We are given that,

Length of Eduardo's flight path = 273 miles

Length of Paul's flight path = 357 miles

Distance between their destinations = 238 miles.

Now, using the law of cosines, we get,

238^2=273^2+357^2-2\times 273\times 357\times \cos \theta

i.e. 56644=74529+127449-194922\times \cos \theta

i.e. 56644=201978-194922\times \cos \theta

i.e. 194922\times \cos \theta=145334

i.e. \cos \theta=0.7456

i.e. \theta=\arccos 0.7456

i.e.  θ = 41.8°

Hence, the angle between their flight paths is 41.8°.

4 0
4 years ago
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