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Solnce55 [7]
3 years ago
6

Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.

Mathematics
1 answer:
Helga [31]3 years ago
7 0

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59

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Please simplify: 5x + 2 (x - 3) = -2 (x - 1)
zysi [14]

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

3 0
3 years ago
Write the sentence as an equation. 396 subtracted from p is t
Paladinen [302]
P - 396 = t <== ur equation
7 0
3 years ago
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What is the variance?
kotegsom [21]

Answer:

Variance is the squared deviation and deviation is the difference of observed value from other values

Step-by-step explanation:

Variance is the squared deviation and deviation is the difference of observed value from other values

variance=\text({standard deviation})^2

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Where, \mu=\text{mean},N=\text{Number of sample space}


8 0
3 years ago
Larry made 5 batches of punch. Each batch ises 24 fluid ounces of lemon juice and 5 pints of orange juice. If each serving is 1
kkurt [141]

Answer:

65 servings

Step-by-step explanation:

Larry made 5 batches of punch.

In each batch, she uses the amount of lemon juice = 24 fluid ounces

and the amount she uses of orange juice = 5 pints

Since 1 pint = 16 fluid ounces

∴ 5 pints = 16 × 5 = 80 fluid ounces

Total quantity of punch in each batch = 24 + 80

                                                              = 104 fluid ounces

Total quantity of punch in 5 batches = 104 × 5

                                                             = 520 fluid ounces

If each serving is 1 cup.

and 1 cup = 8 ounces

He made the number of servings all together = \frac{520}{8}

                                                                           = 65 cups

He made 65 servings all together.

8 0
3 years ago
A gene carries the______ for a trait.
MrRissso [65]

Answer:

A gene carries the <u>information</u> for a trait.

Step-by-step explanation:

Just got it right on edge

8 0
3 years ago
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