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3 years ago

Need help w this onee thankss!!

Mathematics

1 answer:

skad [1K]3 years ago

6 0

Step-by-step explanation:

if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.

now from the angle given i.e X.

perpendicular= 5 cm

base = 14 -2= 12 cm

hypotenuse= ?

we know that,

h² = p²+b²

= 5²+12²=169

h= √169

h= 13

again,

cos X = b/h

= 12/13

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Answer:40

Step-by-step explanation:

The answer is 40

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3 years ago

Please help me <br>why - 9/5-1=-14/5

Jobisdone [24]

Answer:

Step-by-step explanation:

Because you have to take the L.C.M ,

-9/5 - 1

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3 years ago

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

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$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

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3 years ago

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Thepotemich [5.8K]

Hi there! :)

Answer:

$\huge\boxed{C}$

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$1 * 10^{5} = 1 * 100000 = 100,000 g$

Ant:

$2 * 10^{-3} = 2* 0.001 = 0.002$

Divide the ant's weight from the lion's weight:

$100000 / 0.002 = 50,000,000$

Convert to scientific notation: (use # of zeros to determine exponent)

$50,000,000 = 5 * 10^{7}$

Therefore, the correct answer is C.

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3 years ago

Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y

Mashcka [7]

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

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= log2(z³/y²) + log9(y⁴x¹²)