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Sophie [7]
3 years ago
13

Show all your working please​

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

45 cm²

Step-by-step explanation:

area = ½×11×13×sin 39°

= 71.5 × 0.6294

= 45 cm²

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What is the derivative of y = x^(lnx)? Show your solution.
aleksley [76]
Hello,

ln(y)=ln(x^(ln(x))=ln(x)*ln(x)=(ln(x))²

(ln(y))'=2ln(x)*1/x
(1/y)*y'=2ln(x) / x
y'=(2 ln(x) * x^(ln(x)) )  /x
4 0
3 years ago
Read 2 more answers
14. What is the slope and y-intercept of the equation 5(y + 3) + 6(x - 3) - 2 = 0?
Alexxandr [17]

Step-by-step explanation:

5(y + 3) + 6(x - 3) - 2 = 0 \\  \\ 5y + 15 + 6x - 18 - 2 = 0 \\  \\ 5y + 6x + 15 - 20 = 0 \\  \\ 5y + 6x - 5 = 0 \\  \\ 5y =  - 6x + 5 \\  \\ y =  -  \frac{6}{5}  x+  \frac{5}{5}  \\  \\ y =  -  \frac{6}{5}  x+  1 \\ equating \: it \: with \\ y = mx + c \\ \\  slope \: (m) =   -  \frac{6}{5}  \\  \\ y - intercept \:( c )= 1

8 0
3 years ago
Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirte
Fudgin [204]

Answer:

Patricia's account balance after thirteen years is $867.16

Step-by-step explanation:

This problem is on simple interest calculation

we know that the formula for simple interest is given as

A= P(1+rt)

Given that

P= $612.40

r= 3.2%= 0.032

t= 13 years

Applying the formula we have

A= 612.40(1+0.032*13)

A= 612.40(1+0.416)

A= 612.40(1.416)

A= 867.1584

A= $867.16

8 0
3 years ago
Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations
Alexus [3.1K]
N + q = 28
.05n + .25q = 4.00
4 0
3 years ago
How to find h’(3) <br> base on the graph
const2013 [10]

By the quotient rule for differentiation,

\displaystyle h'(x) = \dfrac{g(x)f'(x) - f(x)g'(x)}{g(x)^2}

According to the plots of f and g, we have f(3)=2 and g(3)=3.

On the interval [2, 4], f is a line through the points (2, 5) and (4, -1), and hence has slope (-1 - 5)/(4 - 2) = -3, so f'(3)=-3. We can similarly find g'(3)=2.

Then

h'(3) = \dfrac{3\cdot(-3)-2\cdot2}{3^2} = \boxed{-\dfrac{13}9}

4 0
2 years ago
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