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DaniilM [7]
2 years ago
6

The height of one story of a building is about 10 feet. The bottom of the ladder on the fire truck must be at least 24 feet away

from the building. How many stories can the ladder reach?
Mathematics
2 answers:
DENIUS [597]2 years ago
5 0
The most possible answer is 2 stories 
Anni [7]2 years ago
3 0

Answer: There are atleast 2 stories that the ladder can reach.

Step-by-step explanation:

Since we have given that

Height of one story of a building  = 10 feet

Length between the bottom of the ladder and the building = 24 feet

So, we need to find the number of stories that the ladder can reach.

So, Number of stories is given by

\dfrac{\text{Length b/w ladder and building}}{\text{Height of one story}}\\\\=\dfrac{24}{10}\\\\=2.4

Hence, there are atleast 2 stories that the ladder can reach.

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Solve the following quadratic equations by extracting square roots.Answer the questions that follow.
Vikentia [17]

Answer:

1.  x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\

x=±4

2. t^2=81

Taking square root on both sides

\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}

t=±9

3. r^2-100=0

r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}

x=±12

5. 2s²=50

\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}

s=±5 ..

4 0
1 year ago
Read 2 more answers
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red
Alisiya [41]

5 people.

14 + 9 + 12 + 13 + 12 = 60 total pencils.

60 pencils /  5 people = 12 pencils each.

7 0
2 years ago
Read 2 more answers
In a data set with a range of 55.4 to 105.4 and 400 observations, there are 176 observations with values less than 86. Find the
IrinaVladis [17]

<u>ANSWER: </u>

In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.

<u>SOLUTION: </u>

Given, in a data set with a range of 55.4 to 105.4 and 400 observations.

There are 176 observations below the value of 86, and we need to find the percentile for 86.

We know that, percentile formula = \frac{\text {number of observations below the required number}}{\text {total number of observations}} \times 100

Percentile of 86 = \frac{176}{400} \times 100

Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,

=\frac{176}{4} = 49

So, percentile of 86 = 49

Hence, 86 lies in the 49th percentile.  

5 0
2 years ago
In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of
professor190 [17]

Answer:

C. 905 in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

We know that the volume of a sphere is expresses as

V= 4/3πr³

Given that the diameter of the sphere is 12inches

Radius r= 12/2= 6 inches

Substituting our radius we can solve for the volume

V=4/3(3.142*6³)

V= (4*3.142*216)/3

V= 2714.68/3

V= 904.9in³

Approximately V= 905in³

5 0
1 year ago
A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t
Andrews [41]
The situation will be represented by linear equation, this is given by:
y=ax+b
where:
a=slope=rate
b=y-intercept
from our situation:

a=-1/20
b=5 ft
thus the equation modeling the situation will be:
y=-1/20x+5

Answer: y=-1/20x+5
3 0
2 years ago
Read 2 more answers
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