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lawyer [7]
2 years ago
15

By , cos(θ) = StartFraction x Over r EndFraction, and by , sin(θ) = StartFraction y Over r EndFraction. Multiplying both sides o

f the above equations by r, we get that x = r cos(θ) and y = r sin(θ). The states that x2 + y2 = r2. By , we have [r cos(θ)]2 + [r sin(θ)]2 = r2. Applying the , the equation can be written as r2 cos2(θ) + r2 sin2(θ) = r2. Dividing both sides of the equation by r2 results in cos2(θ) + sin2(θ) = 1.
Mathematics
1 answer:
Marianna [84]2 years ago
8 0

Answer:

definition of cosine, definition of sine, pythagorean theorem, substitution, laws of exponents.

Step-by-step explanation:

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What is the first step to solve this equation : 11-3x=44
Zolol [24]

Answer:

Subtract 11 from both sides

Step-by-step explanation:

4 0
2 years ago
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Chaucer explores the idea that appearances can be deceiving through the character of the old woman. how does this theme relate t
Inessa [10]
Since the plot of "The Wife of Bath's Tale" has at its heart a loathly lady who shape-shifts into a beautiful, young damsel, we might expect appearances to be important here. And they are, just not for the reason you might think. For instead of this being a tale about how a knight learns to appreciate people for what's on the inside and that outer appearances don't matter, it's a tale about how a knight learns to give up sovereignty to his wife. That sovereignty includes power over the body. The loathly lady's physical appearance becomes an important symbol of that body, so that, at the end of the tale, when she offers her husband a choice about how he wants her to look, she's in essence offering him control of her body. He grants this control back to her, thus proving his understanding of the doctrine of women's sovereignty in marriage. Medieval stories don't necessarily go in for the whole 'appearances don't mean anything' maxim anyway, as we've seen in the "General Prologue<span>."</span>
7 0
2 years ago
A prescription calls for the following: Sodium citrate 5 g Tartar Emetic 0.015 g Cherry syrup ad 120 mL Using a balance with a s
ella [17]

Answer:

measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

Step-by-step explanation:

Given:

Mass of Sodium citrate = 5 g

Mass of Tartar Emetic = 0.015 g = 15 mg

Volume of Cherry syrup ad 120 mL = 120 mL

sensitivity = 4 mg

Error = 5%

Now,

The smallest weight that can be measured = \frac{\textup{Sensitivity}}{\textup{Error}}\times100

or

The smallest weight that can be measured =  \frac{\textup{4}}{\textup{5}}\times100  = 80 mg

Now,

80 mg is dissolved in 120 mL of Cherry syrup according to prescription

( Thus,

1 mg is dissolved in \frac{120}{80}\ mL  of Cherry syrup according to prescription )

so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup

=   15\times\frac{120}{80}\ mL

= 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

8 0
2 years ago
Someone help! you have 44 text messages in your inbox. How many messages can your cell phone hold? (and inbox is 88% full)
marin [14]
We can set up a proportion.

88% = 0.88

44/0.88 = x/1

Cross multiply:

0.88x = 44

Divide 0.88 to both sides:

x = 50

So your cell phone can hold 50 messages.
4 0
2 years ago
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John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint
Alexxandr [17]

Answer:

Width =22.955 in

length =28.785 in

Step-by-step explanation:

let width=x

painting is 5.83 in taller than it is wide

length =x+5.83

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Perimeter of painting =103.48

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width =x=22.955 in

length =x+5.83=22.955+5.83=28.785 n

5 0
2 years ago
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