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4 years ago

Triangular sail has a baseline of 2.5 m. The area of the sail 3.75 m². How tall is the sail?

Mathematics

1 answer:

Debora [2.8K]4 years ago

3 0

Check the picture below.

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What are the last 2 digits of 7 to the power of 2018. This question was on a past exam paper.

Xelga [282]

Answer:

Step-by-step explanation:

Try finding pattern of last two digits of 7 to the power of some numbers.

7^1=07

7^2=49

7^3=343

7^4= 2301

7^5= 16807

so , the pattern is, 07,49,43,01

so, if we start writing all numbers from 1 to 2018 , four number in each line, 2018 will fall in the second column.

so it will have 49 as the last 2 digits [by seeing this pattern : 07,49,43,01 ]

6 0

3 years ago

Given g(x)=2x-1, solve for x when g(x)=3.

SashulF [63]

Answer:g(x)=2(3)+1=6+1=7

Step-by-step explanation:7

7 0

3 years ago

Read 2 more answers

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

8 0

4 years ago

Simplify 13 to the second power pretty please :3

just olya [345]

13 to the second power is 169.

Hope this helps!

6 0

3 years ago

I don't know the answer can eney one help??

zlopas [31]

Answer:

Please see attached picture for full solution.

4 0

3 years ago