Ask question

Ask question

All categories

4 years ago

8

Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce

ntimeters and the width is 15 centimeters. What is the area of the park

1 answer:

Svet_ta [14]4 years ago

5 0

Answer:

The area of the park is $108\ m^{2}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{5}{3}\frac{cm}{m}$

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

$20/(5/3)=12\ m$

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

$15/(5/3)=9\ m$

step 3

Find the area of the park

$A=(12)(9)=108\ m^{2}$

You might be interested in

15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find<br>dy/dx at =22/7*4<br>

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

It looks like we're given

$\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}$

where <em>a</em> and <em>b</em> are presumably constant.

Recall that

$\cos^2t=\dfrac{1+\cos(2t)}2$

$\sin^2t=\dfrac{1-\cos(2t)}2$

so that

$\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}$

Then we have

$\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t$

$\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}$

$\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}$

where the last reduction follows from dividing through everything by $\cos(2t)\cos^2t$ and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0

3 years ago

Marks ratio is 3 tablespoons sugar to 4 tablespoons Milk.Shari is using 6 tablespoons of sugar to 8 tablespoons of milk. Eve is

Ganezh [65]

The awnser is Shari is using the same ratio as Mark's

8 0

3 years ago

I WILL MARK AS BRAINLIEST!!! What is the value of x?<br><br> 8x+3=43

uysha [10]

8x+3=43
-3 -3
8x=40
/8 /8
X=5

8 0

3 years ago

Use the graph below to fill in the blank with the correct number:

Alik [6]

Let
$A(-3,0) \\ B(-2,2) \\ C(0,1) \\ D(1,-2)$

we know that

Point A
$A(-3,0) \\ for x=-3 \\ f(-3)=0$

Point B
$B(-2,2) \\ for x=-2 \\ f(-2)=2$

Point C
$C(0,1) \\ for x=0 \\ f(0)=1$

Point D
$D(1,-2) \\ for x=1 \\ f(1)=-2$

therefore

the answer is
$f(0)=1$

4 0

3 years ago

Read 2 more answers

The number of cars at a dealership dropped from 64 to 48 after a weekend sale.

tigry1 [53]

Answer: B. 25%

Step-by-step explanation:

64-48 = 16

16/ 64= 0.25

0.25 x 100 = 25%

8 0

3 years ago