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Zolol [24]
3 years ago
10

A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs the ladder at its base and

pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth of a foot.
Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

Answer: 43.9

Step-by-step explanation:

a

2

+

(

24

)

2

=

a

2

+(24)

2

=

 

 

5

0

2

50

2

Use the Pythagorean Theorem.

a

2

+

576

=

a

2

+576=

 

 

2500

2500

Simplify.

−

576

−576=

 

 

−

576

−576

Subtract 576 from both sides.

a

2

=

a

2

=

 

 

1924

1924

a

2

=

a

2

​

=

 

 

±

1924

±

1924

​

Square root both sides.

a

=

a=

 

 

43.863424...

43.863424...

Simplify. Ignore negative root, as length must be positive.

a

≈

a≈

 

 

43.9

43.9

Round to the nearest tenth.

Usimov [2.4K]3 years ago
5 0

Answer:

43.9

Step-by-step explanation:

yes

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Find the perimeter of the polygon. Round your answer to the nearest tenth.
lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units

Perimeter refers to sum of lengths of all the sides.

Perimeter = 5.4+8.5+7.1+7+10.8=38.8

Or approximately 39 units

3 0
3 years ago
HELP±! FAST<br><br>What is the scale factor?
cupoosta [38]

Answer:

\frac{5}{3}

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal.

To determine the scale factor calculate the ratio of corresponding sides, that is

\frac{NO}{GH} = \frac{15}{9} = \frac{5}{3}

4 0
3 years ago
Which is not a solution to the equation x -2y = 10 ?
Travka [436]
The answer is B because -3 -8 = -11. 
7 0
2 years ago
Read 2 more answers
How do you simplify a fraction?
attashe74 [19]
You simplify a fraction by finding it's greatest common factor. A greatest common factor is what both numbers are divisible by. If they can both be divided by two, then you've simplified them a little bit. Keep going until you can't find a common number that can be divided by the two, and you've got your simplified fraction. For example, 10/5 = 1/2 since both 10 and 5 is divisible by 5.
5 0
3 years ago
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=−2 b(n)=b(n−1)−7 ​ Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript ter
vitfil [10]

Answer:

-16

Step-by-step explanation:

Given the sequence:

b(n)=b(n−1)−7, where b(1)=−2

b(2)=b(2−1)−7

=b(1)−7

=-2-7

b(2)=-9

Therefore, the 3rd term of the sequence

b(3)=b(3−1)−7

=b(2)-7   (Recall b(2)=-9 from above)

=-9-7

b(3)=-16

The 3rd term of the sequence is -16.

5 0
3 years ago
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