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Yuliya22 [10]
3 years ago
12

Please help me find the value of x the answer must be exact

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Answer:

x=11

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

leg=x\\hypotenuse=x\sqrt{2}

Therefore, the value of x is 11.

You can double-check using the sine ratio:

sineX=\frac{opposite}{hypotenuse}

Insert the values:

sin45=\frac{x}{11\sqrt{2} }

Insert the equation into a calculator:

x=11

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

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Solve the quadratic equation by completing the square.
Step2247 [10]

Answer:

x1, x2 = 4.74 , -2.74

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 2x - 13

a = 1     b = -2    c = -13

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (2 + √ (2^2 - 4 * 1 * (-13)))/2 * 1

x1 = (2 + √ (4 + 52)) / 2

x1 = (2 + √ 56 ) / 2

x1 = (2 + 7.48) / 2

x1 = 9.48 / 2

x1 = 4.74

x2 = (2 - √ (2^2 - 4 * 1 * (-13)))/2 * 1

x2 = (2 - √ (4 + 52)) / 2

x2 = (2 - √ 56 ) / 2

x2 = (2 - 7.48) / 2

x2 = -5.48 / 2

x2 = -2.74

6 0
3 years ago
3/4 - 1/3 plz explain
balandron [24]
First covert them to fractions with the same denominator so you can compare them (9/12 and 4/12), then subtract the numerators, and not the denominators (9/12-4/12), then whatever you get is the answer (5/12). If you can, simplify. 
7 0
3 years ago
Read 2 more answers
Or the figure shown on the​ right, find m∠3 and m∠4.
ioda

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

4 0
3 years ago
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I need help please and thank you
Thepotemich [5.8K]
By solving 1 & 2
no solution.
4 0
3 years ago
Pls answer I will follow you if u do answer
Marianna [84]

Answer:

The answer is 113

Step-by-step explanation:

6^2 + 7(3^2 + 8 - 6)

36 + 7(9 + 8 - 6)

36 + 7(11)

36 + 77  

113

3 0
2 years ago
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