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Gelneren [198K]
3 years ago
10

A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t

op of the ladder? Round to the nearest tenth of a foot.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

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Law of cosine find m<B a=11 b=12 c=17
Andrei [34K]
Cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (11^2 +17^2 -12^2) / (2 * 11 * 17)
cos (B) = (121 + 289 -144) / (374)
cos (B) = 266 / 374
cos (B) = <span> <span> <span> 0.7112299465
Angle B =  </span></span></span>44.665 degrees








3 0
3 years ago
A realtor collects the data set given in DS 12.2.4 concerning the sizes of a random selection of newly constructed houses in a c
Yuliya22 [10]

The table is missing in the question. The table is attached below.

Solution :

Let X = appraised value

    Y = area (square feet)

The regression line is given by :

$\hat y = b_0+b_1X$

$b_1=\frac{n\sum XY-\sum X \sum Y}{n \sum X^2-(\sum X)^2}$

   $=\frac{15(5964990)-(2157)(33370)}{15(404799)-(2157)^2}$

  $=12.3267$

$b_0=\frac{\sum Y}{n}-b_1\frac{\sum X}{n}$

   $=\frac{33370}{15}-\left(12.3267 \times \frac{2157}{15}\right)$

  $b_0=452.0841$

The regression line is :

$\hat Y = 452.0841+12.3267 X$

To estimate the error variance, we have:

Error variance, $\sigma =\sqrt{\frac{\sum (Y-\hat Y)^2}n-2{}}$

                           $=\sqrt{\frac{587682.3}{15-2}}$

                            $=212.6178$

8 0
3 years ago
I need help is it A B C Or D
Anarel [89]
Natural selection <span>is the process where organisms are more likely to reproduce. When they reproduce, they pass on traits to the next generation. Over time this process allows organisms to adapt to their environment. Giving what natural selection means, I believe the answer is D. Evolution does NOT always improve organisms. 

I hope this helps:)</span>
5 0
3 years ago
HELP AHHH<br> PLEASE AND THANK YOU
aleksley [76]
Is it D? if not i’m so sorry
4 0
2 years ago
Read 2 more answers
The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.​
Marysya12 [62]

Answer:

28.26 miles

Step-by-step explanation:

Area= pi times radius squared

diameter is twice the radius so 6÷2=3miles

3 miles is the radius

So A= 3.14 × 3²

= 28.26

6 0
2 years ago
Read 2 more answers
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