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Vesna [10]
3 years ago
15

What is 2/10 + 62/100?

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
Multiply \frac{2}{10} by 10 to get \frac{20}{100} so that the fractions have equal denominators. then, add the 62 in \frac{62}{100} with the 20 in \frac{20}{100} to get \frac{82}{100}. when simplified, the answer is \frac{41}{50}
dangina [55]3 years ago
6 0
The answer is simply 41/50
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A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend
Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b²  + (5 + x)²...............(1)

using similarity of triangle

\dfrac{x}{6}=\dfrac{5+x}{b}

b=\dfrac{5+x}{x}6

from equation (1)

L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2

     = (5+x)^2(1+\dfrac{36}{x^2})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})

for maxima or minima

\frac{\mathrm{d} L^2}{\mathrm{d} x}=0

x = -5 and x =  ∛190  = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0
3 years ago
Find the sum of the first 10 terms. 0.5, 0.9, 1.3, 1.7....
elena-s [515]

Answer: the 10th term is 4.1

Step-by-step explanation:

The sum is +0.4 each time.

1=0.5

2=0.9

3=1.3

4=1.7

5=2.1

6=2.5

7=2.9

8=3.3

9=3.7

10=4.1

8 0
3 years ago
Read 2 more answers
Betty had an order of 70 sausages,but she only grilled 20%.Erika's an order of 30 sausages,but she only grilled 60%.who grilled
nadezda [96]

Answer:

Erica did

Step-by-step explanation:

60% of 30 is 18

20% of 70 is 14

8 0
3 years ago
What is the value of x, 6x +2=180
tester [92]

Answer: x=\frac{89}{3} or 26\frac{2}{3}

\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\6x+2-2=180-2\\6x=178

\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{178}{6}\\

x=\frac{89}{3}

<em>Hope this helps and have a great day!!!</em>

7 0
3 years ago
Read 2 more answers
a maple tree is 4.2 meters tall. A pine tree is 1.02 shorter that the maple tree. An oak tree is 1.89 taller than the pine tree
torisob [31]

Answer:

7.782352941

Step-by-step explanation:

4.2 divided by 1.02 the multiply the out come of that by 1.89 to get 7.782352941

5 0
4 years ago
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