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likoan [24]
3 years ago
9

Find the values of x and y. 40 sy 40 xº X = y= 0

Mathematics
1 answer:
Helga [31]3 years ago
5 0

Answer:

x = 30°

y = 5

Step-by-step explanation:

The ∆ where you find x is an isosceles ∆ because two of its sides has a length of 40 each, since the other triangle has equal angles of 60° each, it also has equal length sides of 40.

Therefore, x is a base triangle of the isosceles, thus:

x = ½(180 - (180 - 60))

x = ½(180 - 120)

x = ½(60)

x = 30°

Let's find y.

8y = 40 (sides of an equilateral ∆ are equal)

Divide both sides by 8

y = 5

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3 years ago
What is the approximate solution of the linear system represented by the graph below
VashaNatasha [74]
ANSWER

The approximate solution is

(4, - 1)

EXPLANATION

The point of intersection of the two lines is the solution of the linear systems represented by the graph.


From the graph we can determine that each box is 2 units.


From the graph, when we start at O and count two boxes to the right and half box down, we obtain the point of intersection of the two lines to be
(4, - 1)


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3 years ago
The equation of a line is given by 4x-3y=12.How do you solve for x
maria [59]

Simplifying

4x + -3y = 12

Solving

4x + -3y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0

4x + 0 = 12 + 3y

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Divide each side by '4'.

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Simplifying

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3 years ago
A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

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3 years ago
Question on image. <br><br> will report answers out of question. Thank you
olchik [2.2K]

Answer:

84°

Step-by-step explanation:

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3 years ago
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