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bulgar [2K]
3 years ago
7

A boat traveled 37 miles in 2 hours. At this rate, how many miles will the boat travel in

Mathematics
1 answer:
Inessa [10]3 years ago
8 0

<u><em>Answer:</em></u>

i. The boat will travel 18.5 miles in one hour

ii. The boat will travel 9.25 miles in half an hour

iii. The boat will travel 27.75 miles in one and a half hours

<u><em>Explanation:</em></u>

We are given that the boat travel 37 miles in 2 hours

To get the miles traveled, we can simply use cross multiplication

<u>i. Miles traveled by the boat in one hour:</u>

37 miles .....................> 2 hours

x miles ........................> 1 hour

x = \frac{37*1}{2}=18.5 miles

<u>ii. Miles traveled in half an hour:</u>

37 miles .....................> 2 hours

x miles ........................> 0.5 hour

x = \frac{37*0.5}{2}=9.25 miles

<u>iii. Miles traveled in an hour and a half:</u>

37 miles .....................> 2 hours

x miles ........................> 1.5 hour

x = \frac{37*1.5}{2}=27.75 miles

Hope this helps :)

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8, 5, and  2


Step-by-step explanation:

8+5+2= 15

8 x 5 x 2 = 80

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Answer:

65

Step-by-step explanation:

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3 years ago
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
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The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

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4 0
3 years ago
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pychu [463]

Answer:

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The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

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Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:


6 0
3 years ago
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algol13

Answer:

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6 0
2 years ago
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