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3 years ago

It says to find the value of x.

Mathematics

1 answer:

bija089 [108]3 years ago

8 0

Answer:

x = 23

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the third angle forms a straight angle with 100°, hence

third angle in triangle = 180° - 100° = 80°

Summing the 3 angles gives

2x + 3 + 80 + 51 = 180

2x + 134 = 180 ( subtract 134 from both sides )

2x = 46 ( divide both sides by 2 )

x = 23

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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

3 years ago

REPOST BECAUSE OF LINKS ASAP WORTH 70 POINTS IF U ANSWER

Dmitriy789 [7]

Answer/Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

5 0

2 years ago

Read 2 more answers

1. An orange is peeled . 18 identical sectors are found . What angle do does each semicircular surface make with another in a wh

KatRina [158]

Answer:

<u>Since the circle covers 360°, each sector will be:</u>

360°/18 = 20°

The same angle will be made between two adjacent semicircles.

The points have same latitude but different longitude.

35°W and 15° are at different sides from zero longitude.

<u>The difference is:</u>

35° + 15° = 50°

8 0

2 years ago

Sophie borrowed $2000 and took 3 years to repay the loan and $900 interest.

dedylja [7]

I = p * r * n

i is the interest
p is the principal
r is the interest rate per time period
n is the number of time periods.

in your problem:

i = 900
p = 2000
r = what you want to find
n = 3 years

formula becomes 900 = 2000 * r * 3

solve for r to get r = 900 / 2000 / 3 = .15

that's .15 interest rate per year = 15% per year.

at a nominal interest rate of .15 per year, the interest rate per month would be .15/12 = .0125 per month.

the remaining balance at the end of 6 month is equal to 1907.140183

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3 years ago

Which of the following is true about the expression sqrt3*sqrt2

Mars2501 [29]

Answer:

<h2>Option B is the right answer.</h2>

Step-by-step explanation:

$\sqrt{3} , \sqrt{2}$ are two irrational numbers, that is, they can not be shown as the fraction of two integers.