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anyanavicka [17]
1 year ago
13

To build 12 birdhouses, Felipe needs 5 1/4 meters of wood. He was asked to make 4 1/2 times the number of birdhouses he usually

makes. How many meters of wood does Felipe need to make that many birdhouses?
Mathematics
1 answer:
Dimas [21]1 year ago
5 0

Using proportions, it is found that Felipe needs 23.625 meters of wood to make that many birdhouses.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

To make an amount, he needs 5 1/4 meters = 5.25 meters. How many meters he needs to make 4 1/2 = 4.5 times the amount?

5.25 x 4.5 = 23.625 meters.

Felipe needs 23.625 meters of wood to make that many birdhouses.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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A basketball player, standing near the basket to grab a rebound, jumps 66.1 cm vertically. How much time does the player spend i
Zepler [3.9K]

Answer:

0.293 s

Step-by-step explanation:

Using equations of motion,

y = 66.1 cm = 0.661 m

v = final velocity at maximum height = 0 m/s

g = - 9.8 m/s²

t = ?

u = initial takeoff velocity from the ground = ?

First of, we calculate the initial velocity

v² = u² + 2gy

0² = u² - 2(9.8)(0.661)

u² = 12.9556

u = 3.60 m/s

Then we can calculate the two time periods at which the basketball player reaches ths height that corresponds with the top 10.5 cm of his jump.

The top 10.5 cm of his journey starts from (66.1 - 10.5) = 55.6 cm = 0.556 m

y = 0.556 m

u = 3.60 m/s

g = - 9.8 m/s²

t = ?

y = ut + (1/2)gt²

0.556 = 3.6t - 4.9t²

4.9t² - 3.6t + 0.556 = 0

Solving the quadratic equation

t = 0.514 s or 0.221 s

So, the two time periods that the basketball player reaches the height that corresponds to the top 10.5 cm of his jump are

0.221 s, on his way to maximum height and

0.514 s, on his way back down (counting t = 0 s from when the basketball player leaves the ground).

Time spent in the upper 10.5 cm of the jump = 0.514 - 0.221 = 0.293 s.

5 0
3 years ago
If increasing 50 by x% is equal to the result of decreasing 70 by x%. what is the value of x?
ozzi

Increasing 50 by x% can be written as:

50 + \frac{x}{100} =50+0.01x.................(1)

Decreasing 70 by x % can be represented by the expression:

70 + \frac{x}{100} =70-0.01x...........(2)

Now we are given in the question that if we increase 50 by x% and 70 by x%, then the two values are equal.

so equating (1) and (2) , we get

50 +0.01 x =70 - 0.01x

bringing 0.01x to the left side:

50  +0.01x +0.01x = 70

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taking 50 to the right side, subtracting it from 70

0.02x = 70-50

0.02x = 20

dividing both sides by 0.02

\frac{0.02x}{0.02}  =\frac{20}{0.02}

Answer x=2000

4 0
4 years ago
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