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olasank [31]
3 years ago
6

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

Hence x = y = 2

Step-by-step explanation:

Using the SOH CAH TOA identity

Hypotenuse = 2√2

Opposite = x

theta = 45

Sin theta = opp/hyp

Sin 45 =x/2√2

1/√2 = x/2√2

x = 2√2 * 1/√2

x = 2

To get y we will use the pythagoras theorem;

(2√2)² = x² +y²

(2√2)² = 2²+y²

8 = 4 + y²

y² = 8-4

y² = 4

y = √4

y = 2

Hence x = y = 2

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PLEASE HELP I THINK I DID THIS WRONG ( Best Answer = Brainliest)
Afina-wow [57]
1. 2/7x100=28.57%
2.3:7x100=42.85%
3.1/7x100=14.29%
4. 6/7x100=85.71%
5.0%
6.4/7x100=57.14%

Good luck!
7 0
4 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 10.2 inches, and standard deviation of
ArbitrLikvidat [17]

Answer:

P [ X ≤  9.8 ]  = 0.1335

Step-by-step explanation:

P [ X ≤  9.8 ]  =  [ ( 9.8  - 10.2 )/1.8√25 ]

P [ X ≤  9.8 ]  =  - 0.4*5/1.8

P [ X ≤  9.8 ]  = - 2 / 1.8

P [ X ≤  9.8 ]  =  - 1.11

From z- table we get:  α  =  0.1335

P [ X ≤  9.8 ]  = 0.1335   or   P [ X ≤  9.8 ]  = 0.1335

8 0
4 years ago
Diana purchases 6 pounds of strawberries and 4 pounds of apples for 18.90. Then she realized that this was not enough and purcha
Veronika [31]
<span>6 pounds of strawberries for x pounds and 4 pounds of apples for y pounds. = $18.90.
6x + 4y = 18.90
Then, you add 3 more pounds of each fruit which equals $10.17. 
3x + 3y = 10.17
Then you multiply by -2 which is (-6x) - 6y = -20.34. After that, you add that (read carefully) you would do this. (-6x) + 6x - 6y + 4y = -20.34 + 28.90.
-2y = -1.44 divided by -2.
Y = -1.44/-2
Y = $0.72 per pound of apples.</span><span>Now, plus in the value of Y in equation 2.
3x + 3y = 10.17
3x + 3 * 0.72 = 10.17.
3x + 2.16 = 10.17
-2.16
3x = 10.17 - 2.16
3x = 8.06 /3

Int total, X = $2.68 per pound of strawberry. Hope this helps just read it carefully. </span>
4 0
3 years ago
A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.
FromTheMoon [43]

Answer:

24√2

Step-by-step explanation:

Let the side of the square be x

If the diagonal is 12m (hypotenuse), then;

x^2 + x^2 = 12^2

2x^2 = 144

x^2 = 144/2

x^2 = 72

x = √72

x = √36*2

x = 6√2

Perimeter of the square garden = 4x

Perimeter of the square garden = 4(6√2)

Perimeter of the square garden = 24√2

7 0
3 years ago
Match each description when z = 9 + 3i. 1. Real part of z, 3 2. Imaginary part of z, 9 - 3i 3. Complex conjugate of z, 3i 4. 3i
Andreyy89

Answer:

see below

Step-by-step explanation:

z = 9 + 3i

This is in the form a+bi   where a is the real part and b is the imaginary part

1.The real part is 9

2. The imaginary part is 3

The complex conjugate is a-bi

3. complex conjugate 9-3i

4. 3i - z = 3i - (9+3i) = 3i -9 - 3i = -9

5. z-9 = 9+3i - 9 = 3i

6.  9-z = 9- (9+3i) = 9-9-3i = -3i

5 0
3 years ago
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