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2 years ago

Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)

1 answer:

8 0

The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)

Here r=7csc(θ)
so
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(θ)
y=7csc(θ)*sin(θ)=7sin(θ)/sin(θ) = 7
therefore the rectangular coordinates are (7cot(θ), 7)

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George buys some first class and second class stamps to put on some letters. Each first class stamp costs 67p, and each second c

Dafna1 [17]

Answer:

£191.36

Step-by-step explanation:

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide 320 by 5 to find the value of one part of the ratio.

320 ÷ 5 = 64 ← value of 1 part of the ratio , thus

4 parts = 4 × 64 = 256

Thus he bought 64 first class and 256 second class.

Cost = (64 × £0.67) + (256 × £0.58)

= £42.88 + 148.48

= £191.36

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2 years ago

Help please please help

Artemon [7]

Answer:

could you maybe give me a better picture in the light or something? it is hard for me to see it

Step-by-step explanation:

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2 years ago

daniiel is currently 26 years older than his son. in 6 years he will be three times older than his son. how old are both of them

Molodets [167]

Answer:

Daniiel is 33 years old.

The son is 7 years old.

Step-by-step explanation:

x+26=3x

The x represents the son.

To solve for x:

-26=x-3x

-26=-2x

x=13

Since the father will be 3 times his son's age in six years we subtract 6.

x=7

This means the son is 7 years old as of right now. To find the father's age you do 7+26=33

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2 years ago

"Trigonometric Models" (50 POINTS) Is my graph right?

ch4aika [34]

Answer:

Yes, this graph is absolutely right for the function y = $2\sin(2x)-3$ .

Step-by-step explanation:

firstly we will calculate amplitude, period, phase shift, and vertical shift.

Use the standard form $a\sin(bx-c)+d$ to calculate the values of amplitude, period, phase shift, vertical shift.

here a = 2

b = 2

c = 0

d = -3

Amplitude = |a| = 2

period = $\frac{2\pi}{|b|}$

= $\frac{2\pi}{2}$ = $\pi$

phase shift = $\frac{c}{b}$ = 0

and vertical shift = d = -3

so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.

6 0

2 years ago

Elaine body total of 15 shirts and a pair of pants she bought seven more shirts than pants how many of each did you buy

Vlad [161]

She bought 11 shirts and 4 pants.

7 0

3 years ago