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3 years ago

Sin x = - 1/2 where (-360 < x < 360)

Mathematics

1 answer:

dimulka [17.4K]3 years ago

3 0

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

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Help 0.06 is 10 times as much as

Ipatiy [6.2K]

Answer:

0.06 is 10 times as much as 0.006

Step-by-step explanation:

let the number be x

as per the condition 0.06 is 10 times as much as x.

Solve for x:

10 times as much as x represents as $10 \times x$

Then;

$0.06 = 10 \times x$ ......[1]

Division property of equality states that you divide the same number to both sides of an equation.

divide by 10 to both sides in equation [1];

$\frac{0.06}{10} = \frac{10x}{x}$

Simplify:

x = 0.006

Therefore, 0.06 is 10 times as much as 0.006

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3 years ago

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miskamm [114]

Answer:

Step-by-step explanation:

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3 years ago

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map of a city uses the scale 1 cm equals 50 m. On the map, South Street is 25 cm long. If there is a traffic cone at the start

aivan3 [116]

Answer:

125 traffic cones

Step-by-step explanation:

In order to find the total number of meters, we can set up a proportion to find based on the ration of cm to m:

$\frac{centimeters}{meters}=\frac{1}{50}=\frac{25}{x}$ , where 'x' is the number of meters

cross-multiply: x = 25(50) or x = 1250 m

Since there is a cone every 10 m, we can divide the total number of meters by 10:

1250/10 = 125 cones

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3 years ago

A farmer has a square plot of land he needs defense he walked to the diagonal of the plot of land and found it to be 80 yards ho

andre [41]

Answer: i think the answer is 320

Step-by-step explanation:

i say 320 because a square has 4 sides and there is 80 yards so all i did is multiply 80 x 4 = 320

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3 years ago

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A: 1/2 inch <br> B: 1 inch <br> C: 2 inches<br> D: 1/32 inch

mote1985 [20]

The expression of the height is

$a_n=8\cdot (\frac{1}{2})^{n-1}$

the index "n" is the numbers of times that the ball is down, to n=1 the height is 8 inches, to n=2 the height is 4 inches.

An when n=5, the height is

$a_5=8\cdot (\frac{1}{2})^{5-1}=8\cdot (\frac{1}{2})^4=\frac{1}{2} =0.5$

the anwers is 0.5 inches

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3 years ago