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Mrac [35]
2 years ago
13

A 52 foot ladder is set against the side of the house so that it reaches up 48 feet .if jevonte grabs the ladder at its base and

pulls it 3 feet farther from the house ,how far up the side of the house will the ladder reach now ? (The answer is not 45ft) round to the nearest tenth of a foot
Please help my daughter is stuck and I can't figure it out thanks
Mathematics
1 answer:
Vesnalui [34]2 years ago
6 0

Answer:

Step-by-step explanation:

The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:

52^2=48^2+x^2 and

2704=2304+x^2 and

x^2=400 so

x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:

52^2=23^2+x^2 and

2704=529+x^2 and

2175=x^2 so

x = 46.6 feet

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Whats the area of the real Bedroom?
Gemiola [76]

Answer:

The answer is 18 cm.

Step-by-step explanation:

Just multiply 6 by 3.

3 0
3 years ago
A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 t
forsale [732]

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

P value is 0.0002 at 0.05 significance level

Hence probability =0.4998

7 0
3 years ago
Problem 2:
kifflom [539]

Answer:

The answers to the questions about problem 2 are:

  1. The fraction of the length after Priya stops two times is 3/4.
  2. The fraction of the length after Priya stops four times is 15/16.
  3. Priya will never reach the end of the hallway.

Step-by-step explanation:

The explanation about each answer is below:

1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:

\frac{1}{2}/2=\frac{1}{4}

If you add the two values you obtain the total distance traveled by Priya:

\frac{1}{2}+\frac{1}{4}= \frac{3}{4}

And the distance traveled in two stops is 3/4 of the total length of the hallway.

2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:

\frac{1}{4}/2=\frac{1}{8}

And in the fourth stop she will travel half of the remaining, I mean:

\frac{1}{8}/2=\frac{1}{16}

Now, we add all the values of the distances obtained:

\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}

So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.

3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.

3 0
3 years ago
The number of employees for a certain company has been decreasing each year by 2%. If the company currently has 690 employees an
solmaris [256]

Answer:

511 employees

Step-by-step explanation:

Given data

P=690

rate= 2%

time = 13 years

let us apply the simple interest formula

A=P(1-rt)

Note the  negative sign (since we are dealing with decrease)

A= 690(1-0.02*13)

A=690(1-0.26)

A=690*0.74

A=510.6

A= 511 approx

Hence the population will reduce to 511 employees

8 0
2 years ago
If Julie needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?
Gwar [14]
The answer is thirteen
1 cup=4 one fourths
3 cups=12 one fourths
Add one more one fourth
6 0
3 years ago
Read 2 more answers
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