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FinnZ [79.3K]
2 years ago
11

The time required for one complete swing of a pendulum is called period of pendulum. The period of pendulum is directly proporti

onal to the square root of its length. If a pendulum has a period of 1.5 seconds when it is 2 m long, what is the period of the pendulum when it is 8 m long?
Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0

Answer:

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Step-by-step explanation:

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If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s
STALIN [3.7K]

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

4 0
2 years ago
Read 2 more answers
A fountain shoots water into the air. The graph shows a water droplet's height y in feet x seconds after it is shot from the fou
katrin2010 [14]

Answer:

A water droplet reaches it's maximum height after 6 s

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th
zzz [600]

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

(3x-4)\text{ degrees}

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134

Thus, the measures of angle are 46 degrees and 134 degrees.

7 0
2 years ago
A father is 25 years older than his son. 10 years ago, he was six times as old his son. What are their present ages?​
RoseWind [281]

Answer:

Present age of son = 15 years

& Present age of father = 40 years

Step-by-step explanation:

  • Let the son's present age be x years

  • -> Father's present age = (x + 25) years

  • 10 years ago:
  • Son's age = (x - 10) years

  • Father's age = (x +25 -10) = (x +15) years

  • It is given that: 10 years ago father was six times as old as his son

  • -> x + 15 = 6(x - 10)

  • -> x + 15 = 6x - 60

  • -> x- 6x = - 60 -15

  • -> -5x = - 75

  • -> x = -75/(-5)

  • -> x = 15

  • -> x + 25 = 15 + 25 = 40

  • -> Present age of son = 15 years

  • & Present age of father = 40 years.
3 0
2 years ago
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Complete each blank to find an expression that is equal to 16%. a. __ for every 100, b. __for every 50, c. 1 for every __, d. 0.
KonstantinChe [14]
16 for every 100
8 for every 50
1 for every 16
.5 for every 8
4 0
3 years ago
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