Answer:
The real-life distance between the park and the theatre is of 12 km.
Step-by-step explanation:
Scale of 1:400,000
Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km
What is the real-life distance between the park and the theatre?
On the map, the distance between them is of 3 centimeters.
3*4 = 12
The real-life distance between the park and the theatre is of 12 km.
Answer:
The point P(1,-3) is not a solution to the system.
Step-by-step explanation:
Given
Let a point be P(1,-3)
Here x = 1 ; y = -3
Substituting the values of x,y in the function

For y<x-1
-3 < 1-1
-3<0 (True)
now for,
y>-x+2
-3 > -1 + 2
-3 > 1 (False)
Hence the point is not a solution to the system.
<h2>Greetings!</h2>
Answer:
x + 20 = area
Step-by-step explanation:
You need to recall the equation for a rectangle:
Width x Length = Area
So simply plug the values into this:
(0.5x+10) * 6
(0.5x * 6) + (10 * 6)
= 3x + 60
Simplified down by dividing by three:
= area
<h3>x + 20 = area</h3>
<h2>Hope this helps!</h2>
Answer:
A. Cylinder + cone
<u>Volume is the sum of volumes:</u>
- V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
- V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³
<u>Surface area of cone:</u>
- A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²
<u>Surface area of cylinder minus bases:</u>
- A = 2πrh₂ = 2π*9*120 = 6785.8 cm²
<u>Total surface area:</u>
- 678.6 + 6785.8 = 7464.4 cm²
-------------------------------------------------
B. Cube+ pyramid
<u>Volume:</u>
- V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
- V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³
<u>Surface area of pyramid:</u>
- A = a² + 2al = 8² + 2*8*10 = 224 cm²
<u>Surface area of cube minus bases:</u>
- A = 4a² = 4(8²) = 256 cm²
<u>Total surface area:</u>
Step-by-step explanation:
The given quadratic equation is :

The formula to solve a quadratic equation is :

Put a = 13, b = 10 and c = 1
So,

Hence, this is the required solution.