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trapecia [35]
3 years ago
12

A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7

seconds, the boy has rolled to a distance of 30 meters. What is his average speed?
Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

His average speed is 4.75 m/s

Step-by-step explanation:

Here, we are interested in calculating the average speed of the boy.

At time t = 4 seconds, total distance traveled = 6 meters

The average speed here is distance/time = 6/4 = 1.5 m/s

Now at time 30 7 seconds , he has rolled 30 meters

What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second

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The area of the square is 100 square centimeters. What is the area of the circle?
swat32

Answer:

  • Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

  • Area = (side length)²
  • 100 cm² = (side lenght)²

        side\text{ }length=\sqrt{100cm^2}=10cm

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

  • diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

         diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm

The area of the circle is π (radius)².

  • radius = diameter/2 = diagonal/2

        area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2

6 0
3 years ago
Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.
Law Incorporation [45]

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

8 0
3 years ago
Read 2 more answers
What is the answer 47 * 63
Anuta_ua [19.1K]
<h3>47 × 63 = <u>2961</u></h3>

<h3>... Hope this will help... </h3>

<h3>U can also verify the answer using a calculator </h3>
8 0
3 years ago
Graph the six terms of a finite series where a1 = -3 and r = 1.5.
zavuch27 [327]
A1 is the 1st term 
r is the difference, they can say "r" or "d" for the difference 

1st a1 is the first term = -3
2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5
the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d 
a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th 
d --> difference 
so to get the 2nd-->    -3+(2-1)*1.5= -1.5
to get the 3rd -->        -3 +(3-1)*1.5 = 0 
<span>and so on </span>
4 0
4 years ago
Read 2 more answers
A cosmetics company makes three batches of a nail polish color called Purple Dusk using the recipe shown.
Ivanshal [37]

Answer:

Batch 1:- Red 2  ounces     Blue 1 1/2 ounces

Batch 2:-  Red 3     White  3 3/4 ounces.

Batch 3:- White  4 1/6      Blue  2 1/2 ounces.

Step-by-step explanation:

Batch 1

Amount of the white paint = 5/12 of the batch = 2 1/2  or 5/2 ounces.

5/12 is equivalent to 5/2 ounces of white paint.

1/12   ......................... 5/2 / 5 =  5/10 = 1/2 ounce.

Red paint.

!/3 of the product contains red paint which is 4/12 so this is 4 times 1/12 = 4 * 1/2 ounce   = 2 ounces of red paint.

Blue paint.

Similarly to the above amount of blue paint =  1/4 =3/12

= 3 * 1/2 = 1 1/2 ounces of  blue paint.

Batch 2.

We can calculate the missing quantities in a similar way to Batch 1.

Blue Paint =  3/12 of the product  = 2 1/4 ( = 9/4) ounces  so

1 /12 =

9/4 * 1/3 =  9/12 = 3/4 ounce

Red Paint:-  1/12 is equivalent to 3/4 ounce so

Amount of red paint = 4 * 3/4 = 3 ounces  (answer)

White paint = 5 * 3/4 =  15/4 = 3 3/4 ounces (answer)

Batch 3.

Red paint = 3 1/3 ounces is equivalent to  4/12 of the product.

So 1/12 = 10/3  / 4 = 10/12 = 5/6 ounces.

White paint = 5/6 * 5 = 4 1/6 ounces.

Blue paint = 5/6 * 3 = 15/6 = 2 1/2  ounces.




3 0
3 years ago
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