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3 years ago

Find the missing side lengths (Use sqrt in place of a square root symbol)

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Step-by-step explanation:

Because this is a right triangle and it is given that one angle is 45 than also the ather angle is 45 so this triangle has 2 equal sides.So also the ather side is 6 .

Hypotenuse can be found by pythagorean theorem

6^2+6^2=x^2

36+36=x^2

x=√72

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I’m a right triangle the length of the hypotenuse is 12and the length of one leg is 8 . What is the length of the other leg?

denis23 [38]

Answer:

other leg is 8.94

Step-by-step explanation:

Pythagorean Theorem is a² + b² = c²

a and b are legs

c is the hypotenuse

8² + b² = 12²

64 + b² = 144

-64 -64

b² = 80

√b² = √80

b ≈ 8.94

3 0

3 years ago

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

What am I supposed to do?

aleksley [76]

You take the amount paid and divide it by the amount of cheese. So 10.50 divided by 2.5 equals 4.2 and 12.60 divided by 3 equals 4.2 meaning that one pound of cheese costs $4.20

6 0

3 years ago

Translate this sentence into an equation.

Ber [7]

Answer: 7c=91

Step-by-step explanation: Product means multiplication so Carlos' height- "c" times 7 equals 91.

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3 years ago

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Apple orchard sells Apple's in bags of 10. The orchard sold a total of 2,430 apples one day. How many bags of Apple's was this

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