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3 years ago

The net of a right triangle

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

Answer:

l \

l______\

Step-by-step explanation:

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(cos x - (sqrt 2)/2)(sec x -1)=0

Darya [45]

$(\cos x-\frac{\sqrt{2}}{2})(\sec x-1)$ =0 [/tex]

$=(\cos x-\frac{1}{\sqrt{2}})(\sec x-1)$ =0 [/tex]

$\frac{(\sqrt{2}\cos x-1)}{\sqrt{2}}(\frac{1}{\cos x\ }-1)=0$

(Reciprocal Identity)

$(\frac{^{\sqrt{2}\\cos x-1}}{^{\sqrt{2}}})(\frac{1-\cos x}{\cos x})=0$

$\frac{^{(\sqrt{2}\cos x-1})}{\sqrt{2}}\frac{(1-\cos x)}{\cos x}=0$

$(\sqrt{2}\cos x-1}){(1-\cos x)}=0$ (ZeroProduct Property)

$\sqrt{2}\cos x-1=0$

$\sqrt{2}\cos x=1$

$\cos x=\frac{1}{\sqrt{2}}$

$x=\frac{\Pi }{4}$

and

$1-\cos x=0$

$\cos x=1$

$x=0$

x=0 and x= $\frac{\Pi }{4}$ are the solutions.

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4 years ago

Read 2 more answers

Is |4x+2|+6=0 no solution, all real numbers, 0, and 2

algol [13]

<u>|4x + 2| + 6 = 0</u>

Subtract 6 from each side: |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make |4x + 2| negative.

So the equation has <em>no solution</em>.

7 0

4 years ago

The top of a rectangular table has an area of 11 square feet. It has a length that is 3.5 feet more than the width. Find the dim

pashok25 [27]

Step-by-step explanation:

If we let the width be w, then the length is w+3.5.

This means that w(w+3.5)=11

w^2 + 3.5w - 11 = 0

2w^2 + 7w - 22 = 0 (multiply both sides by 2)

(2w+11)(w-2)=0

w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)

This means that w=2, and thus the length is 2+3.5=5.5

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2 years ago

Mark set his watch 12.96 seconds behind, and it falls behind another 1.97 seconds every day. How many days has it been since Mar

iris [78.8K]

Answer:13 to 14

Step-by-step explanation:

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3 years ago

Find any points of discontinuity for the rational function... y=x-3/x^2-3x-10

vlabodo [156]

Answer:

x = -2 or 5

Step-by-step explanation:

y = (x-3)/((x-5)(x+2))

y is undefined when the denominator is zero.

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3 years ago