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olasank [31]
3 years ago
8

an 18 foot leans against a wall. The base of the ladder is 9 feet from the wall on the level ground. How many feet up the wall,

to the nearest tenth of a foot, is the top of the ladder
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

Answer:

15.6

Step-by-step explanation:

We need to use Pythagorean theorem:

hypotenuse ² =( leg 1)² + (leg 2)²

Hypotenuse is 18 ft.

leg 1 = 9 ft.

18² = 9² + (leg2)²

(leg 2)² = 243

(leg 2) = +√243 ≈ 15.6 (ft)

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the mean monthly rent for a sample of studio apartments in one city is $1260 with a standard deviation of $230. the monthly rent
il63 [147K]

Answer:

$1743, $1973, $1789 and $685 are unusual data values. $1973 is very unusual data value.

Step-by-step explanation:

The data values will be unusual if the data values more than 2 standard deviations away from mean.

mean=1260

standard deviation=230

mean-2*standard deviation

1260-2*230

800

mean+2*standard deviation

1720

mean±2*standard deviation=(800,1720)

The values that don't lie in this interval will be unusual.

mean-3*standard deviation

1260-3*230

570

mean+3*standard deviation

1260+3*230

1950

mean±3*standard deviation=(570,1950)

The values that don't lie in this interval will be very unusual.

$1099 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1099 is not unusual.

$1651 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1651 is not unusual.

$1743 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1743 is unusual.

$1973 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1973 is unusual. Also,  $1973 don't lie in the interval mean±3*standard deviation and so it is more than the three standard deviation away from mean. So, $1973 is very unusual.

$846 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $846 is not unusual.

$1789 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1789 is unusual.

$1398 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1398 is not unusual.

$685 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $685 is unusual.

5 0
4 years ago
To which subsets of the real numbers does the following number belong? square root of seven
alexandr402 [8]

Answer: this might be wrong well we all know it’s is going to be wrong but let’s give it a shot so I am probably going to go with answer C

Plz give me brainlest

byeeeeeeeeeeee

k guys plz give me brainless I need it so much I suck we’ll probably not but u get the point but give me brainles ppppppppplllllllllllllzzzzzzzzzzzzzzz I need it

5 0
3 years ago
Read 2 more answers
If PG' equals 0. 5 units, what is PG? 2. 5 units 3 units 4. 5 units 6 units.
Dmitrij [34]

The correct option is B which is the value of PG is 3 units.

Given

The scale factor of the dilation of segment HG is 1/6.

If PG' equals 0.5 units,

<h3>What is the scale factor?</h3>

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

The scale factor of the dilation of segment HG is 1/6.

By the rule of scale factor;

\rm \dfrac{PG'}{PG}= SF = \dfrac{1}{6}

Where SF represents the scale factor.

Solving for PG, we get:

\rm \dfrac{PG'}{PG}=\dfrac{1}{6}   \\\\ \dfrac{0.5}{PG} = \dfrac{1}{6}\\\\ 0.5 \times 6= 1\times PG\\\\ PG = 3

Hence, the value of PG is 3 units.

To know more about the Scale factor click the link given below.

brainly.com/question/16806865

3 0
3 years ago
What is the change in temperature from -45°F to - 71°F?
wlad13 [49]
The answer to this question would be -26
6 0
4 years ago
Read 2 more answers
Combine like terms to create an equivalent expression of 3.26d + 9.75d - 2.65
sleet_krkn [62]

Answer:

13.01 d -2.65

Step-by-step explanation:

3.26d + 9.75d - 2.65

Combine like terms

3.26d + 9.75d          - 2.65

13.01 d                     -2.65

4 0
3 years ago
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