Answer:
28 workstations
Step-by-step explanation:
First, let us find the area of the shop to be built:
Area = Length × width
Area = 14.0 × 10.0 = 140.0 m²
Next, we are told that each workstation allows 5.0 m²
this means that:
5.0 m² = 1 workstation
1.0 m² = 1/5 workstation
∴ 140.0 m² = 140 × 1/5 workstation
= 140 × 0.2 = 28 workstations
Hi!
The equation of a circle is (x – h)² + (y – k)² = r², with (h, k) being the center, r being the radius, and x + y being left as just x and y.
If the smallest circle has a radius of 3 units, then the next one is 7 units (4 units greater), and then the second largest 11 units, and then the largest 15. That means, for r in our equation, we're going to put in 15.
So we get:
(x – h)² + (y – k)² = 15², or
(x – h)² + (y – k)² = 225
The center of our circle is at (-4, 3). That means h = -4 and k = 3 in our equation. So let's substitute that in.
(x – (-4))² + (y – 3)² = 225
(x + 4)² + (y - 3)² = 225 is our final equation.
Hope this helped!
Answer:
Cone
Step-by-step explanation:
Options:
a) Cone b) Cube
c) Cylinder d) Triangular prism
From the given options (a) to (d), option (a) is true.
This is so, because.
The volume (V) of a cone is:

This is as a result of dilating the cylinder by 1/3 whose volume is:

In other words:

<em>i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)</em>
Answer:
<h2>11/26</h2>
Step-by-step explanation:
Since we have 13 heart card then
p(heart) = 13/52
Since we have 12 picture card then
p(picture) = 12/52
Since we have 3 heart and picture (at the same time) card then
p(heart∩picture) = 3/52
finally,
the possibility that you are dealt a heart or a picture card = p(heart or picture)
p(heart or picture) = 13/52 + 12/52 - 3/52 = 22/52
Answer:
5 logbc
Step-by-step explanation:add them up