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Katen [24]
3 years ago
12

The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a

given number of seconds. Time (s) Height (cm) 0 −25 1.5 0 3 25 4.5 0 6 −25 7.5 0 9 25 10.5 0 12 −25 From its resting position, how long does it take the weight to bounce one direction, then the other, and then back to its resting position? Enter your answer in the box. s
Mathematics
1 answer:
Paha777 [63]3 years ago
4 0
Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.

By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.

ANSWER: One whole cycle of the weight took 6 seconds.
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3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
Airida [17]

Answer:

b.) 104

Step-by-step explanation:

Percent formula:

x/y = p/100

where x is the fraction, y is the total, and p is the percent

This means:

x = number of games the team won

y = total number of games

p = percent the number of teams won

Let's plug these values into the equation:

x/y = p/100

x/160 = 65/100

Solve by cross-multiplying:

x/160 = 65/100

100(x) = 100x

160(65) = 10,400‬

100x = 10,400

/100     /100

x = 104

Therefore, the team won 104 games.

6 0
3 years ago
Find the unknown angle A<br>​
uranmaximum [27]
40! When you add all four angles of a quadrilateral together, you will always end up with 360. So, 360-75-120-125=40 :) have a great day!
4 0
3 years ago
Read 2 more answers
BELP ME WITH THIS PLZ!!!!!!
kati45 [8]

Answer:

The entire area of the sailboat is 60cm²

Step-by-step explanation:

You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.

In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.

Because the two triangles can be put together to form a single triangle, we don't need to measure them independently.  We can simply take the total length of their bases, multiply it by their height, and divide by two.  This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.

(2cm + 3cm) × 6cm

= 5cm × 6cm

= 30cm²

The rectangle's area is of course equal to its width times its height, so we can say:

2.5cm × 12cm

= 30cm²

The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²

3 0
3 years ago
18 is 75% of what number?
Nonamiya [84]

Answer:

24

Step-by-step explanation:

18 * 4 /3 = 72/3 = 24

8 0
3 years ago
Read 2 more answers
The subject of the formula below is y.<br>a=4x/t - p<br>Rearrange the f make x the subject.​
Crazy boy [7]

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

4 0
3 years ago
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