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2 years ago

PLEASEHELP!!!!!!

Mathematics

2 answers:

pantera1 [17]2 years ago

5 0

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

$v_2 = v_1 + 4$ .

The first runner's speed is 4/5 of the speed of the second runner, hence:

$v_1 = \frac{4}{5}v_2$

$v_1 = \frac{4}{5}(v_1 + 4)$

$\frac{1}{5}v_1 = \frac{16}{5}$

$v_1 = 16$

$v_2 = 16 + 4 = 20$

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

anastassius [24]2 years ago

4 0

Answer:

Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.

Step-by-step explanation:

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Salem High School's winter sports teams WON 72% of their games last season. If the teams played 50 games, how many games did the

Dmitriy789 [7]

Answer

Find out the how many games did the teams lose .

To prove

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

As given

Salem High School's winter sports teams WON 72% of their games last season.

If the teams played 50 games .

Percentage = 72%

Total value = 50

Put in the formula

$72 = \frac{Number\ of\ games\ win\times 100}{50}$

$Number\ of\ games\ win = \frac{72\times 50}{100}$

Number of games win = 36

Number of games teams loses = Total number of games - number of games win

= 50 - 36

= 14

Therefore the number of games team loses are 14 .

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3 years ago

Can atriangle be formed with side lengths of 5cm. 10cm and 15cm

andreyandreev [35.5K]

Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc

In this case:
a=15 cm
b=10 cm
c=5 cm

cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1

A=arc cos -1=180º This is impossible, because:

A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).

Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.

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andreyandreev [35.5K]

Answer:

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A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was

ELEN [110]

Answer:

Number of games won = 110

Step-by-step explanation:

Given:

Total games played = 154

The ratio of number of games won to number of games lost = $\frac{5}{2}$

Solution:

Let the number of games won be = $5x$

Thus, number of games lost = $2x$

The total games played can be given as = $5x+2x=7x$

Thus, we have:

$7x=154$

Dividing both sides by 7.

$\frac{7x}{7}=\frac{154}{7}$

∴ $x=22$

So, number of games won = $5\times 22 = 110$

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3 years ago

Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. How are they alike? How are they different?

AleksandrR [38]

<span>1 perpendicular bisector divides 1 side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths.

Angle bisectors splits an angle of a triangle into two even degrees.
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