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Oxana [17]
3 years ago
14

Which expression has a value closest to 1 ? (Use 3.14 as the value of pi.)

Mathematics
2 answers:
leva [86]3 years ago
8 0
B is the answer for the question
4vir4ik [10]3 years ago
3 0

B is the answer for the question

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A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 mil
svlad2 [7]

Hey there! I'm happy to help!

We see that if the river isn't moving at all the boat can move at 18 mph (most likely because it has an engine propelling it.)

We want to set up a proportion where our 21 miles downstream time is equal to our 15 miles upstream time so we can find the speed. A proportion is basically showing that two ratios are equal. Since our downstream distance and upstream distance can be done in the same amount of time, we will write it as a proportion.

We want to find the speed of the river. We will use r to represent the speed of the river. When going downstream, the boat will go faster, so it will have a higher mph. So, our speed going down is 18+r. When you are going upstream, it's the opposite, so it will be 18-r.

\frac{distance}{speed} =\frac{21}{18+r} = \frac{15}{18-r}

So, how do we figure out what r is now? Well, one nice thing to know about proportions is that the product of the items diagonal from each other equals the product of the other items. Basically, that means that 15(18+r) is equal to 21(18-r). This is a very nice trick to solve proportions quickly. We see that we have made an equation and now we can solve it!

15(18+r)=21(18-r)

We use the distributive property to undo the parentheses.

270+15r=378-21r

We subtract 270 from both sides.

15r=108-21

We add 21 to both sides.

36r=108

We divide both sides by 36.

r=3

Therefore, the speed of the river is 3 mph.

You also could have noticed that 18mph to 21 mph is +3, and 18mph to 15 mph -3 in -3 mph, so the speed of the river is 3 mph. That would have been a quicker way to solve it XD!

Have a wonderful day!

3 0
3 years ago
Helpppp pleaseeeee math algebra
beks73 [17]

Answer:

B is the correct answer

Step-by-step explanation:

Coefficient is - 5 and constant is 2

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Y = -3. Solved using elimination, although I've never seen the matrix tool before.
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PLEASE HELP ME I WILL GIVE BRAINLIEST
Stels [109]

Answer:

its 1,2,3,5,6

Step-by-step explanation:

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What must be true about the sides and angles of congruent triangles?
Usimov [2.4K]

Answer:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

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