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2 years ago

7

A Lorry is travelling at 13.5 m/s along a stretch of road where the speed limit is 50kmh

1 answer:

KIM [24]2 years ago

8 0

13.5x3600=48600
48600÷1000=48.6km/h

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tom has 34 students in his class. 20 of them run around The track. 18 of them jump rope. How many do both?

Lera25 [3.4K]

Answer:

4

Step-by-step explanation:

20+18=38

38-34=4

hope this helped!!

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2 years ago

Cynthia ran 17.5 laps in 38.5 minutes if she ran each lap at the same pace how long did it take her to run one full lap

marishachu [46]

Answer:

2.2 minutes

Step-by-step explanation:

38.5 ÷ 17.5 = 2.2

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2 years ago

triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congru

cluponka [151]

Answer:perpendicular bisector theorem

Step-by-step explanation:

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1 year ago

Read 2 more answers

In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio

Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

<u>The equation for the hole</u>

$x^{2} + y^{2} = 5$ (1)

<u>The equation for the path of the bean bag</u>

$y = 0.5x^{2} + 1.5x - 4$ (2)

By entering equation (2) into (1) we have:

$x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5$

$x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5$

$0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0$

By solving for <em>x</em>, we have:

x₁ = 1

x₂ = 2

Now, for <em>y</em> we have (eq 2):

<u>x₁ = 1</u>

$y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2$

<u>x₂ = 2</u>

$y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1$

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults

I hope it helps you!

8 0

2 years ago

A truck travels 500 miles at an average speed of 60 miles per hour on a return trip on the same route and travels at an average

marta [7]

The return trip took 1 hour 42 minutes longer

Further explanation:

The distance will remain same on return.

The formula for speed is given by:

$Speed=\frac{Distance}{Time}$

Let d be the distance

s1 be the speed while going and s2 be the speed while returning

and

t1 be the time while going and t2 be the time while returning

d=500 miles

s1=60 miles per hour

s2=50 miles per hour

We have to calculate time for both trips,

So,

<u>Time while Going:</u>

<u> $s_1=\frac{d}{t_1}\\t_1=\frac{d}{s_1}$ </u>

<u>Putting the values of d and s1</u>

<u> $t_1=\frac{500}{60}\\=8.3\ hours$ </u>

<u>Converting 8.3</u>

8 will be the hours,

for 0.3 hour

0.3*60=18 minutes

The first trip took 8 hours and 18 minutes.

<u>Time while returning:</u>

$s_2=\frac{d}{t_2}\\t_2=\frac{d}{s_2}$

Putting the values of d and s1

$t_2=\frac{500}{50}\\=10\ hours$

The difference of both times is: 1 hour 42 minutes

So,

The return trip took 1 hour 42 minutes longer

Keywords: Time, Distance, Speed

Learn more about movement at:

#LearnwithBrainly

8 0

2 years ago