Solve v+8<3 or -8v-40 .

Which of the following is true of the location of the terminal side of an angle, Theta, whose sine value is One-half?

FinnZ [79.3K]

Answer:

Theta has a reference angle of 30° and is in Quadrant I or II

Step-by-step explanation:

Sin(theta) = ½

Basic angle: 30

Angles:

30,

180-30 = 150

Because sin is positive in quadrants 1 and 2

6 0

3 years ago

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show work plz answers i know just tell me the equation that equals the answer or explain all how to do it

Tanzania [10]

Step-by-step explanation:

you find the blank number by finding the pattern. on number 9 the number increases by 10 every time. you find the mean by adding all the numbers on question 9 and finding the average.

example say its 0 5 10 _ 20 25

you can assume the blank is 15 because the pattern is +5

then you add all of them together which is 75

then you find the average or mean. you find this by dividing it by the numbers you started off with. with this example you divide it by 6 because we started with 6 numbers.

the mean would be 12.5

hope this helped

4 0

2 years ago

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Find the area of the shaded portion in the square. Show all work for full credit.

kumpel [21]

Well, what I would do [not sure if it's the correct way], is use the white area as a sector of a circle. The top right of the box is the center of the circle, so the radius is 6.
Then, by the white portion being one quarter of the circle (90° out of 360°), I could calculate the that pink shaded region = the total square (6×6) minus the white sector.
So area (A) of white sector (s): A(s) = 1/4×pi×r^2
$A(s) = \frac{\pi {r}^{2} }{4} = \frac{\pi \times {6}^{2} }{4} \\ A(s) = \frac{36\pi}{4} = \frac{9\pi}{1} = 9x3.142 \\ A(s) = 28.27$
36 - 28.27 = 7.73

6 0

3 years ago

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A carpenter has at most $250 to spend on lumber the inequality 8x+12y<250 represents the numbers x of 2 by 8 boards and the n

malfutka [58]

Answer:

The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.

Step-by-step explanation:

Given:

Amount a carpenter can spend at most = $250

The inequality to represent the amount he can spend on each type of board is given as:

$8x+12y$

where $x$ represents '2 by 8 boards' and $y$ represents '4 by 4 boards'.

To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.

Solution :

In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the $x=12$ and $y=14$ in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.