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3 years ago

HELP!!

Mathematics

1 answer:

Leokris [45]3 years ago

6 0

Answer:

1/2

Step-by-step explanation:

Given:

sinx=-1/2

cosy=√3/2

finding x

x=sin^-1(-1/2)

x=-π/6

x=-30°

finding y

cosy=√3/2

y=cos^-1(√3/2)

y=π/6

y=30°

Now finding cos(x-y)

cos(-π/6-π/6)

=cos(-π/3)

=1/2!

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The circle below is centered at the point (4, 1) and has a radius of length 2 What is its equation?

11111nata11111 [884]

Answer:

(x - 4)^2 + (y - 1)^2 = 2^2 = 4

Step-by-step explanation:

The applicable equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2. Here, h = 4; k = 1; and r = 2.

So the desired equation is (x - 4)^2 + (y - 1)^2 = 2^2

6 0

3 years ago

What percentage of total hours were spent skiing?

eduard

Answer:

10%

Step-by-step explanation:

5/50=x/100

5×100=500

500/50=10

x=10

10%

7 0

3 years ago

Determine the intercepts of the line. 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 xxx-intercept: \Big((left parenthe

earnstyle [38]

Answer:

The intercepts $(x,y) = (\frac{3}{2},-2)$

Step-by-step explanation:

Given:

$4x-1=3y+5$

Required

Determine the intercepts

The equation is a linear equation and the intercepts of the equation is calculated as thus;

For x intercepts; substitute 0 for y

$4x-1=3y+5$

$4x-1=3(0)+5$

$4x-1=0 + 5$

$4x-1=5$

Add 1 to both sides

$4x-1 + 1=5 + 1$

$4x = 6$

Divide both sides by 4

$\frac{4x}{4} = \frac{6}{4}$

$x = \frac{6}{4}$

Simplify fraction to lowest term

$x = \frac{3}{2}$

For y intercept, substitute 0 for x

$4x-1=3y+5$

$4(0)-1=3y+5$

$0 - 1 = 3y + 5$

$-1 = 3y + 5$

Subtract 5 from both sides

$-5 - 1 = 3y + 5 - 5$

$-6 = 3y$

Divide both sides by 3

$\frac{-6}{3} = \frac{3y}{3}$

$-2 = y$

Reorder

$y = -2$

Hence, the intercepts $(x,y) = (\frac{3}{2},-2)$

8 0

3 years ago

Read 2 more answers

Five hundred twelve people visited a ski resort last week. The resort hopes to triple the number of weekly visitors by advertisi

____ [38]

Answer:

The resort wants 1,536 visitors each week.

Step-by-step explanation:

512 x 3 = 1536

Times three is like tripling.

7 0

3 years ago

Read 2 more answers

Solve -2/3x > 8 or -2/3x < 4.

dezoksy [38]

Answer:

B) {x| x<-12 or x>-6}

Step-by-step explanation:

-2/3x>8

change -2/3 as -3/2 and multiply both sides by -3/2x

-2/3x•(-2/3)x<-3/2•8

calculate

reduce

x<-3•4

multiply numbers

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x<-12

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now we're done with the first equation, let's do the other equation to find the answer!

-2/3x<4

multiply both sides by -3/2 and again change -2/3 by -3/2

-3/2•(-2/3)x>-3/2•4

calculate

reduce

x>-3•2

multiply numbers

----------

x>-6

----------

6 0

4 years ago