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Katena32 [7]
3 years ago
15

Hector drank 6 glasses of orange juice that contained a total of 360 calories. What was the unit rate (calories per glass)?

Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer:

60 calories per glass

Step-by-step explanation:

360 divided by 6 equals 60

tatiyna3 years ago
5 0

Answer:

60 calories per glass.....

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Find the indefinite integral using the substitution x = 10 sin(θ). (Use C for the constant of integration.) 1 (100 − x2)3/2 dx
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Answer:

The indefinite integral

= \frac{1}{100} ˣ \frac{x}{\sqrt{100-x^{2} } } ⁺ C

Step-by-step explanation:

x= 10sinθ

dx = 10cosθdθ

the step-to-step explanation is in the attachment

3 0
3 years ago
I need the length of AC to the nearest 10th. If you can explain how you got it, that will be nice, but you don’t have too
Nezavi [6.7K]

Answer:

13.5

Step-by-step explanation:

\sin 64\degree = \frac{AC}{AB}\\\\AC = AB \sin 64\degree \\\\AC = 13.481910694\\\\AC \approx 13.5

4 0
3 years ago
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a recipe makes a total of 5 cups a serving of pudding is 3/4 cup how many servings of pudding does the recipe make?
klasskru [66]
The recipe makes Zero
4 0
3 years ago
Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
2 years ago
Lin's father is paying for a $40 meal. He has a 15%-off coupon for the
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The subtotal of the meal is $34 because 15% of $40 is $6
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