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AURORKA [14]
3 years ago
14

7 45° X Find the value of x . Write your answer in simplest form.

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Answer:

7√2

Step-by-step explanation:

From the diagram given;

Hypotenuse = x

Opposite = 7

Angle = 45 degrees

According to SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 45 = 7/x

x = 7/sin45

x = 7/1/√2

x = 7 * √2/1

x = 7√2

Hence the value of x is 7√2

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Please help with these problems! Will mark answer as brainliest and give 30 points. You have to show your work for each problem.
gulaghasi [49]

Answer:

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

2)  2(x + 1)(x - 1)

3) (x^2 + 3)(x^2 - 3)

4) 2x(x + 5)(x - 2)

5) (5x + 2y)(5x - 2y)

Step-by-step explanation:

1)

2x^2 + 6x + 4

= 2x^2 + 4x + 2x + 4

= 2x(x + 2) + 2(x + 2)

= (2x + 2)(x + 2)

2)

2x^2 - 2

= 2(x^ 2 - 1) (The difference of two squares)

= 2(x + 1)(x - 1)

3)

x^4 - 9 (The difference of two squares)

=(x^2 + 3)(x^2 - 3)

4)

2x^3 + 6x^2 - 20x

= 2x(x^2 + 3x - 10)

= 2x(x + 5)(x - 2)

5)

25x^2 - 4y^2         (The difference of two squares)

= (5x + 2y)(5x - 2y)

4 0
3 years ago
Solve this equation |x-4|+4>9
g100num [7]
|x - 4| + 4 > 9 \\ |x - 4| >5 \\ x - 4 > 5 \: or \: x - 4 < - 5 \\ x > 9 \: or \: x < - 1
Btw it's an inequality not an equation
3 0
3 years ago
The least common multiples
Talja [164]
For second one the answer is 14


8 0
3 years ago
Read 2 more answers
Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours at 21 cm tall
-BARSIC- [3]
I would use ratio.
14:8 divide 2
7:4 times 3
21:12
12 hours before going out.
4 0
3 years ago
Read 2 more answers
It took the Farhats 85 minutes to drive 102 miles. If they this same driving rate, how long will it take them (in minu get to th
STALIN [3.7K]

Answer:

255 minutes

Step-by-step explanation:

306 can be subtracted by 102 a total of 3 times. We know that for every 102 miles = 85 minutes. So 85 * 3 = 255.

8 0
3 years ago
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