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Blababa [14]
3 years ago
14

Find the missing side lengths leave your answers as radicals In simplest form.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

These are right triangles so we can use Pythagorean theorem to solve this.

the  Pythagorean theorem states that the hypotenuse of a right triangle, squared, is equal to the sum of the other 2 sides of the triangle, squared.

It can be expressed as so:

c^2=a^2+b^2 where c is the hypotenuse and a, b are the other 2 sides.

Therefore in number 11 6^2=x^2+y^2

36=x^2+y^2

for A, 3√3 / 2 is 2.59807621135 and y is 3. If we square both then they should equal 36 although if they don't then this answer is incorrect.

By doing this process for each answer you will see that

In D we finally see that the square root of 3 is 1.73205080757 and that number times 3 is 5.19615242271. y is 3 and 5.19615242271 squared comes out to 27 and 3 squared comes out to 9

27+9 = 36. Therefore by using the Pythagorean theorem, we found that D is correct

Because this involves a lot of typing and its 5:37 Am where i live ima let u do the next one alone but if u need help just follow my demonstration

Step-by-step explanation:

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A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to
Maurinko [17]

Answer:

X = 33,669.78 ft

Y = 15285.76 ft

Step-by-step explanation:

Given data:

let x be the distance btwn arch and plane

and y be the distance btwn  ground point  and arch y

we know that

cos\theta =  \frac{adjacent}{hypotaneous}

cos(27) = \frac{30,000}{x}

xcos27 = 30000

x = \frac{30000}{cos 27}

x = 33,669.78 ft

b) we knwo that

tan \theta  = \frac{opposite}{adjacent}

tan 27 = \frac{y}{30000}

y = tan(27) (30000)

y = 15285.76 ft

8 0
3 years ago
Simplify this rational expression. 2x^2+5x+3/2x^2-x-3
Murljashka [212]

Answer:

2x+3/2x-3

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify 2x^{2} +5x+3

to simplify this we use factorization

2x^{2} +2x+3x+3

2x(x+1) +3(x+1)

(2x+3) (x+1)        .....(1)

2nd step:simplify 2x^{2} -x-3

2x^{2} +2x-3x-3

2x(x+1)-3(x+1)

(2x-3)(x+1)          .....(2)

now dividing (1) and  (2), we get the answer

2x+3/2x-3

5 0
3 years ago
What does it equal 240 fl oz = c
VLD [36.1K]
It would equal 30 c cuz there is 8 fluid oz in a cup

4 0
3 years ago
Read 2 more answers
A snowmobile traveled 32 miles in 2 1/3 hours.
laila [671]

Answer:

13.7 mph

Step-by-step explanation:

• d = st

Given:

  • d = 32 miles
  • t = 2 1/3 hr = 7/3 hr

Find the rate s:

  • s = d/t
  • s = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)
5 0
3 years ago
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s c
yaroslaw [1]
Hi there Maebe, since the ratio is 3:1 your answer is 96.

The ratio 3:1 is just saying Juanita has 3 times whatever Elita has. So, Elita’s 32 times 3 equals 96. :) I hope I’ve helped you. Please give me feedback if you need more help understanding!
7 0
3 years ago
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