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GenaCL600 [577]
3 years ago
15

The triangles are similar. what is the value of x ?

Mathematics
1 answer:
o-na [289]3 years ago
7 0

<em>is there a formula to follow for this problem?</em>

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the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas
katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

A=x^2 ....(1)

Where

x is the side of a square

\dfrac{dA}{dt}=12\ cm^2/s

Differentiating equation (1) wrt t.

\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}

When A = 81cm²​, the side of the square, x = 9 cm

Put all the values,

12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0
2 years ago
Which of the following are adjacent angles?
andriy [413]

Answer:

c

Step-by-step explana i think its right

3 0
3 years ago
The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13
Juli2301 [7.4K]

Answer:

It would be at a depth of 42 meters below the surface

Step-by-step explanation:

13(6)=78  -120+78=-42

8 0
2 years ago
By what percentage must the diameter of a circle be increased to increase its area by 50%?
katovenus [111]
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of  sqrt 1.5 = 1.2247

Answer is 22.47 %
5 0
3 years ago
Read 2 more answers
Does anyone know this?
lakkis [162]

Answer:

obtuse scalene

Step-by-step explanation:

8 0
3 years ago
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