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IrinaK [193]
3 years ago
15

I don't understand this one.

Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Answer:

C.  27 feet to the nearest foot.

Step-by-step explanation:

In a 45-45-90 triangle the 2 legs ( the base and the height)  are equal in length.

So the area = 1/2 * base * height

= 1/2 h^2 = 32

h^2 = 32 / 1/2 = 64

h = 8 feet.

That is both legs are 8 feet long.

So the amount of fencing needed = the perimeter

=  2*8 + H    where H is the hypotenuse.

As it is a 45-45-90 triangle H = √ * 8 = 11.3 feet.

The perimeter = 16 + 11.3

= 27 feet to the nearest foot.

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A group of 120 people touring Europe includes 45 people who speak French, 42 who speak Spanish, and 50 who speak neither languag
lianna [129]

Answer : P(\text{this group will speak both French and Spanish})=0.141666666

Explanation:

Since we have given that

n(U) = 120, where U denotes universal set ,

n(F) = 45, where F denotes who speak French,

n(S) = 42 , where S denotes who speak Spanish,

n(F∪S)' = 50

n(F∪S) = n(U)-n(F∪S) = 120-50 = 70

Now, we know the formula, i.e.

n(F∪s) = n(F)+n(S)-n(F∩S)

⇒  70    = 45+42-n(F∩S)

⇒ 70  =  87- n(F∩S)

⇒ 70-87 = -n(F∩S)

⇒ -17 = -n( F∩S)

⇒  17 = n(F∩S)

P(\text{this group will speak both French and Spanish})= \frac{17}{120}\\P(\text{this group will speak both French and Spanish})=0.141666666

3 0
2 years ago
What is the solution of sqrt (x-4)+5=2
worty [1.4K]

Answer:

x = 13

Step-by-step explanation:

<em>sqrt (x-4) + 5 = 2</em>

<em>The equation is √(x+4) + 5 = 2</em>

√(x-4) = 2 - 5

√(x-4) = -3

x-4 = (-3)²

x-4 = 9

x = 9 + 4

x = 13

Therefore, the second option x = 13 is correct.

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3 years ago
What is the sum of -5 and -5?<br> -10<br> 10<br> 0
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Answer:

-10

Step-by-step explanation:

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Step-by-step explanation:

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