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Hatshy [7]
3 years ago
12

Lucy's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lucy

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0
Ruthless Nation on Ice
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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
2 years ago
Use the given graph. Determine the period of the function.
Ivahew [28]

Answer:

3

Step-by-step explanation:

Period of a function is the period after which the function attains the same value

in the graph attached with this problem we can see that

f(0)=1

the value of x for which function f(x) attains the value 1 again is at

x=3

f(3)=1

similarly , we see

f(6)=1 , f(9)=1

Hence we see that after every increased value of x by 3 units , we attain the same value of function . hence the period of the function is 3

6 0
3 years ago
1) A radio signal travels from the earth and through space at a speed of 300,000 km/s. How far into space would the signal trave
riadik2000 [5.3K]

Answer:

1. 24,000,000, i believe you divide, 300,000/80.

2. 4.065 seconds, i also believe you divide 5000m/1230.

7 0
3 years ago
PLS NEED HELP WITH 3 AND 4
Rainbow [258]

Answer:

the first one is 62 and the second one

Step-by-step explanation:

i dont know the second one

3 0
3 years ago
Can someone answer this
Romashka [77]

Answer:

the answer is d  

Step-by-step explanation:

3 0
2 years ago
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