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3 years ago

13

Work out the area of this shape. ? cm2 4 cm 9 cm 6 cm 12 cm Help!!!

1 answer:

mars1129 [50]3 years ago

7 0

Answer:

84 cm^2

Step-by-step explanation:

Area of triangle + area of rectangle

Area of triangle = 1/2*l*b

= 1/2*8*3= 12 cm^2

Area of rectangle = l*b

= 12*6 = 72 cm^2

Total area= 72+12

= 84 cm^2

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The value of a motorbike depreciates by 32% per year. Work out the current value of a motorbike bought 5 years ago for £3600

DaniilM [7]

$\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &3600\\
r=rate\to 32\%\to \frac{32}{100}\to &0.32\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
A=3600(1-0.32)^5\implies A=3600(0.68)^5\implies A\approx 523.41601$

3 0

3 years ago

Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: between the midpoints of segments AP and QB

amid [387]

Answer:

$\frac{a}{8}$

Step-by-step explanation:

AB = a

AP = 2PQ = 2QB

AB = AP + PQ + QB

= AP + $\frac{AP}{2}$ + $\frac{AP}{2}$

AB = 2AP

AP = $\frac{a}{2}$ -----(1)

And we know QB = $\frac{AP}{2}$

QB= AP/2 = $\frac{a}{4}$ ---------(2)

Now midpoint of AP = $\frac{a}{2}$ × $\frac{1}{2}$ = $\frac{a}{4}$

and midpoint of QB = $\frac{a}{4}$ × $\frac{1}{2}$ = $\frac{a}{8}$

distance between these midpoints = $\frac{a}{4}$ - $\frac{a}{8}$

= $\frac{a}{8}$

4 0

4 years ago

Read 2 more answers

F(x)= x^2– 3x + 9<br> g(x) = 3x^3+ 2x^2– 4x – 9<br> Find (f - g)(x).

denis-greek [22]

Answer:

$\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

$(f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

If 2 out of 36 people applaud, and 10 people in a concert hall are applauding, how many people are in the concert hall?

solmaris [256]

46 people are in the concert hall

3 0

4 years ago

Read 2 more answers

How you do this? I've been trying but I keep getting it wrong

zmey [24]

Answer:

you plug in (y) with the top equation

Step-by-step explanation:

step 1: 2x+1/2x-1=-6

step 2: 2.5x-1=-6

step 3: 2.5x-1=-6

+1. +1

step 4: 2.5x= -5. Divide both sides by 2.5

-5/2.5 = -2

step 5: plug in your (x) to find (y)

y= 1/2(-2)-1

step 6: 1/2(-2) = -1

y=( -1)-1

y=-2

step 7: (x,y)= (-2,-2)

step 8: graph your coordinate

I hope that this helped you!

6 0

3 years ago