Answer:
A) 264 ft^2, 4 gallons
Step-by-step explanation:
Area of rectangle = 12 ft x 18 ft = 216 ft^2
Area of triangle = 1/2 (28- 18)(12) = 1/2(10)(12) = 60 ft^2
Area of window: 3 ft x 4 ft = 12 ft^2
Areas will be painting = (216 + 60) - 12 = 264 ft^2
1 gallon of paint will cover 70 ft^2 so 264 ft^2 / 70 ft^2 = 3.77 gallons
So Mr. Williams will need 4 gallons of paint to cover 264 square feet of his barn
Answer:
.
Step-by-step explanation:
Given the statement
If 
, then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
.
Sphere
The radius of the sphere is the only unknown variable need to find the volume of a sphere.
Step-by-step explanation:
Sphere is a geometrical three dimensional round figure with every point on its surface equidistant from its center. It is a three dimensional representation of a circle. A line which connects from the center to the surface is called radius of the sphere.The diameter of the sphere is the longest straight line which passes through the center of the sphere.
The volume of sphere is given by:
Volume of sphere(V) = 
where V is the volume of the sphere
r is the radius of the sphere
= 3.14
Hence the only unknown variable to find the volume of a sphere is the radius.
If the pool has 18 married and 22 not married, this means there are 40 people total
this means there’s a 18/40 probability that people who are married will be chosen
18/40 = 2/5
There is a 22/40 probability people who are un married will be chosen
22/40 = 11/20
The true statements about the triangles RST and DEF are: (a), (d) and (e)
<h3>How to determine the true statements?</h3>
The statement ΔRST ≅ ΔDEF means that the triangles RST and DEF are congruent.
This above implies that:
- The triangles can be mapped onto each other by rigid transformations such as reflection, translation and rotation
- The transformation does not include dilation
- Corresponding sides are congruent
The above means that the possible true statements are: (a), (d) and (e)
Read more about transformation at:
brainly.com/question/4289712
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