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romanna [79]
3 years ago
14

Need help with solving right triangles again, can you guys solve for x too​

Mathematics
1 answer:
Lisa [10]3 years ago
5 0

Answer:

Step-by-step explanation:

sin\theta =\frac{5}{13}\\ \\ \theta =sin^{-1}\frac{5}{13}\\ \\ \theta =22.62^o\\ \\ \\ a=90-22.62\\ \\ a=67.38^o\\ \\ \\ 13^2=5^2+x^2\\ \\ x^2=169-25\\ \\ x^2=144\\ \\ x=\sqrt{144}\\ \\ x=12

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The roots of the equation 3x²-2x-4=0 are J and K. Evaluate J² + K².
melamori03 [73]

Answer:

28/9

Step-by-step explanation:

If the roots are J and K, then:

3 (x − J) (x − K) = 0

3 (x² − (J+K)x + JK) = 0

So if we factor out the leading coefficient:

3x² − 2x − 4 = 0

3(x² − 2/3x − 4/3) = 0

The coefficient of the second term is the sum of the roots:

J + K = 2/3

And the constant is the product of the roots:

JK = -4/3

If we take the sum of the roots and square it:

(J + K)² = (2/3)²

J² + 2JK + K² = 4/9

And subtract twice the product:

J² + K² = 4/9 − 2JK

J² + K² = 4/9 − 2(-4/3)

J² + K² = 4/9 + 8/3

J² + k² = 28/9

6 0
3 years ago
You have $30 to buy muffins. However, at the shop you can buy 1 muffin for $4. (a) Write an inequality from the above informatio
sattari [20]

Answer:

Let m be the number of muffins.

a) 4m <= 30

b) m <= 7.5, so the maximum number of muffins to buy is 7.

c) $4 × 7 = $28, so $2 will be left over.

8 0
1 year ago
Elena and Noah used different methods to compute 0.23 x 1.5. Both calculations were correct. Analyze the 2 methods.
mafiozo [28]

Answer:

i have this same question. im sorry but i don't get it either. sorry..

Step-by-step explanation:

5 0
2 years ago
A kite flying in the air has a 10-ft line attached to it. It’s line is pulled taut and casts a 7-ft shadow. Find the height of t
jasenka [17]

Answer:

If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).

To find the height x of the kite, we can apply the Pythagorean theorem.

x² = 11² - 8²

x² = 121 - 64

x² = 57

x =√57 Step-by-step explanation:

6 0
2 years ago
(help) Miller’s Farm had apples on sale for $1.78 a pound. Maria spent $15.21 on apples. How many pounds did she buy?
jolli1 [7]

Answer:

8.5 pounds

Step-by-step explanation:

$ 1.78 - 1 pound

$ 15.21 - 15.21/1.78

= 8.5

5 0
2 years ago
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