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densk [106]
3 years ago
8

I need help with this one

Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.
Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

AC^{2} + BC^{2} = AB^{2}

AC^{2} + AD^{2} = AB^{2}      (Given that AD = BC)

AC^{2} + AD^{2} = 3^{2}      (Given that AB=3)

AC^{2} + AD^{2} = 9 ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

AD^{2} + CD^{2} = AC^{2}

AD^{2}+(\sqrt{2})^2= AC^{2}

AD^{2}+2= AC^{2}

AD^{2}=AC^{2} -2 ...(ii)


Plug value (ii) into (i)

AC^{2} + AC^{2}-2 = 9

2AC^{2} -2=9

2AC^{2} =11

AC^{2} =\frac{11}{2}

AC=\sqrt{\frac{11}{2} }


Hence final answer is AC=\sqrt{\frac{11}{2} }

8 0
3 years ago
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The radius of a circle is 9. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diam
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The formula of the circumference is C=
7 0
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Is times and divide the same explain
iVinArrow [24]
Times means
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divide is
4 divided into 2 parts=2
6 divided into 3 parts=3

but you could multiply by a fraction and essensially divide

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Find the value of x and y if 50=x+y
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180-50=130
x-y=130
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6 0
3 years ago
Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 6, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d
evablogger [386]

y=2x+1\\\\\dfrac{dy}{dt}=2\dfrac{dx}{dt}

(a) For dx/dt=6, dy/dt = 2·6 = 12

(b) For dy/dt=2, 2 = 2·dx/dt ⇒ dx/dt = 1

_____

The value of x is irrelevant for this question.

=====

If your function is 2^x +1 or 2^(x +1), it needs to be written as such. The answer above applies to the function given.

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