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maksim [4K]
2 years ago
15

Using the identity sine + cos²0 = 1, find the value of tan 8, to the nearest hundredth, if cos 0 is -0.7 and 8 is in Quadrant II

.​
Mathematics
1 answer:
IRISSAK [1]2 years ago
7 0

Answer:

-1.01

Step-by-step explanation:

cos^2 + sin^2 = 1

0.49 + sin^2 = 1

sin^2 = 0.51

sin = 0.71

tan = sin/cos = 0.71/-0.7 = -1.01

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The  area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is
Pie

We know that the points at which the parabola intersects the x axis are

(-5,0) and (1,0)

So the extent between these two points would be the base of the triangle

lets find the length of the base using the distance formula

\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}

the base b=6

We will get the height of the triangle when we put x=0 in the equation

y=a(0+5)(0-1)

y=-5a

so height = -5a (we take +5a since it is the height)

We know that the area of the triangle =

\frac{1}{2} × 6 × (5a) = 12

15a=12

a= \frac{4}{5}


7 0
3 years ago
Henry wants some of his
Morgarella [4.7K]

Answer:

maybe 14 or 15 im not good with this stuff im in 8th grade and im very very behind a lot im prob gonna delete this app cuz I dont understand anything

3 0
3 years ago
Which expression is equivalent to 2(x + 7) – 18x + = ?
Blizzard [7]

Answer:

-16x + 14 or 2(7-8x)

Step-by-step explanation:

= 2(x + 7) – 18x

= 2x + 14 -18x

= -16x + 14

or

= 2(7-8x)

8 0
3 years ago
Photo above need help
Ira Lisetskai [31]

Answer:

m = 0

Step-by-step explanation:

<u>If two lines are parallel, their slopes are equal. </u>

The slope of x - axis is 0

(why?)

because, slope of a line is given by

\boxed{\mathsf{slope\:of\:a\:line=tan \theta}}

Θ is the angle made by the line with the x- axis.

Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.

=> Θ = 0

=> tan Θ = 0

=> slope = 0

and the line in blue is parallel to the X- axis, therefore, it's slope is also 0

(also, a line makes an angle of 0° with the line it's parallel to)

<u>                                </u>

\mathfrak{\overline{There\:You\:Are!}}

6 0
2 years ago
Read 2 more answers
PLEASE HELP ME SEE IF MY ANSWERS ARE CORRECT!!!!!!!
Lena [83]
So first one
'how many solutions does 2x-y=-5 and 2x+y=5 have?'
add and get
2x-y-5
plus
2x+y=5

equals
2x+2x+y-y=5-5
4x=0
x=0 always
solve for y
4(0)+y=5
y=5
the solution is (0,5)
only <u>ONE </u>solution






one way is to subsitute
just remember that it is in (x,y) form so
the pont (1,2) means that 1 solution is x=1 and y=2 so subsitute and find that
the first one is the answer you are correct





just look at the graph
the solution is the intersection
it seems to be at a point that is 3 units to the right and -6 units up (6 units down)
so the solution is (3,-6)
yo are corect








subsitution
y=y
therefor
the answe ris (-4,-14) if you did the math correctly











#8 is correct

# 9 is correct




# 10 the answe ris bananas=0.40 pears=0.60


the  last one you got it wrong, remember to check your answer to the graph for commonsense
then answer is (-2,5) and (1,2)
8 0
3 years ago
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