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OLga [1]
2 years ago
9

Find the value of 0 round to the nearest whole degree

Mathematics
1 answer:
Jlenok [28]2 years ago
4 0

Answer:

27°

Step-by-step explanation:

we have the 'opposite' as length 2 is opposite the angle θ

we have the adjacent (length 4) which is next to the angle θ

the hypotenuse is the longest side (we don't need)

Using SOHCAHTOA

we use TOA as O is opposite and A is adjacent

tanθ = opposite ÷ adjacent

tanθ = 2 ÷ 4

using the inverse sign to find θ

θ = tan⁻¹(2/4) = 27° (to the nearest whole degree)

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First question. The midpoint of SR is...
Blizzard [7]

The formula of a midpoint SR:

M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)

We have

S(4, 1) and M(7, -5)

Substitute:

\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11

<h3>Answer: R(10, -11)</h3>
6 0
3 years ago
What is 4+5????????????????
eimsori [14]

Answer:

9

Step-by-step explanation:

4+5=9

6 0
3 years ago
Read 2 more answers
Determine the maximum value of the objective function, P.
Ad libitum [116K]

Answer:

Maximum (250,125) Answer

Step-by-step explanation:

This is more of a graphing problem than it is anything else.

Begin by graphing all 4 given equations.

When you do that, mark the intersection points of at least 2 lines. In this case it is exactly 2 lines for each intersecting point.

6x + 4y <= 2000 and 2x + 4y <= 1000 intersect at (250,125)

x=>0 and y=>0 intersect at (0,0)

6x + 4y <=2000 and x => 0 intersect at 333.333

2x + 4y <=1000 and y>=0 intersect at  0,250.

Any other intersection points fall outside the range of the givens. The shaded part we are interested in is sort of a very dark green/blue. It is the interior of the quadrilateral determined by the 4 vertices that are marked.

Now all you have to do is determine the maximum point using P=15x + 12y

For 0,0                 P = 15*0 + 12,0 = 0

For 0,250            P = 15*0 + 12*250 = 3000

For 333.3333,0   P = 15*333.3333 + 12*0 = 5000 rounded.

For 250,125        P = 15*250 + 12*125 = 5250  Which is the maximum

Answer (250,125) produces the maximum value Answer

5 0
3 years ago
work out the equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4
Sauron [17]

The equation of the line which passes through the point (-1, 2) and is parallel to the line y = x + 4 is y = x + 3

<h3><u>Solution:</u></h3>

Gtiven that line passes through the point (-1, 2) and parallel to line y = x + 4

We have to find the equation of line

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c  ---------- eqn 1

where "m" is the slope of line and "c" is the y - intercept

<em><u>Let us first find the slope of line</u></em>

Given equation of line is y = x + 4

On comparing the given equation of line y = x + 4 with general slope intercept form y = mx + c,

we get slope of line "m" = 1

We know that slopes of parallel lines are equal

So the slope of line parallel to line having equation y = x + 4 is also 1

Now we have to find the equation of line having slope "m" = 1 and passes through point (-1, 2)

Substitute m = 1 and (x, y) = (-1, 2) in eqn 1

2 = 1(-1) + c

2 = -1 + c

c = 3

<em><u>Thus the required equation of line is:</u></em>

Substitute c = 3 and m = 1 in eqn 1

y = 1x + 3

y = x + 3

Thus the required equation of line is found out

4 0
3 years ago
I don’t understand this at allllll.
oee [108]
i think the answer is yes. what i did was set it up as
x + 9 = 9x +1 then solved
i subtracted x to the other side which got me
9 = 8x +1
then moved the 1 over
8 =8x
i divided both sides by 8 then
and got 1!
8 0
3 years ago
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