Ask question

Ask question

All categories

3 years ago

8

A scale model of a building is 30centimeters tall. when the building is completed, it will be 240 meters tall. what is the model

's scale?

1 answer:

Black_prince [1.1K]3 years ago

5 0

The models scale is
1cm=8 cm because :

240÷30=8

hope this helped

You might be interested in

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

2 years ago

1.4=0.7p solve the equation

WINSTONCH [101]

You need to isolate p:
1.4 divided by 0.7 = 0.7p divided by 0.7 (this eliminates 0.7)
2 = p

4 0

2 years ago

Read 2 more answers

What is the volume of a sphere with a radius of 1 foot

navik [9.2K]

The volume is 4.19ft³ Hope it helps <3

7 0

2 years ago

Read 2 more answers

5. If z=10 find the value of Z3-3(2-10)

avanturin [10]

Answer:

54

Step-by-step explanation:

BEDMAS

z=10

(10)3-3(2-10)

=(10)3-3(-8)

=30-(-24) *2 negatives = a positive

=30+24

=54

3 0

1 year ago

How much change will you get back if you bought 3 $0.99 chocolate bars and paid with $5 bill

Molodets [167]

You will get $2.03 back in change

4 0

2 years ago