Answer:
i believe it's 31°. not messing around either
Answer: Function g reflected function f across the x-axis.
For function g, as x approaches negative infinity, g(x) approaches negative infinity.
Function f is symmetrical about the point (4,6).
Answer:
10 cm
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
The volume of a cone is given by the formula ...
V = 1/3πr²h
The ratio of the volume of the cone to that of the sphere is ...
Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)
In order for the ratio to have a value of 1, we must have ...
h = 4r
The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.
Answer:
3 inches to the right
Step-by-step explanation:
The first birdhouse is 27.7 inches to the right
The second birdhouse is 24.9 inches to the left or -24.9 ( left is negative)
The distance between is found by adding the distances
27.7 - (24.9)
27.7-24.9 =2.8
2.8
Rounding to the nearest integer
3 inches apart
Using integers
28 - (25)
3 inches
Answer:
101.9 sq ft
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.
We have in total 5 faces:
- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is
- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is
- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is
- Finally, we have 2 triangular faces (top and bottom), so their area is
where
b = 5.1 ft is the base
h = 6.8 ft is the height (because the triangle is a right triangle)
So the area of the triangle is
So the total lateral surface area of the figure is:
