Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
From definition:
Replacing:
Answer:
43100
Step-by-step explanation:
A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?
Volume = length x width x height
or volume = area x height
Volume of the one- storey = 3700 x 8 = 29600 square feet
Volume of the second floor = 50 x 30 x 9 = 13500 square feet
volume of interior = 29600 + 13500 = 43100 square feet
If you're just integrating a vector-valued function, you just integrate each component:
The first integral is trivial since 
.
The second can be done by substituting 
:
The third can be found by integrating by parts:
Answer:
It takes 33 hours to produce 66 cars.
Step-by-step explanation:
When dividing 220 workers buy the amount of cars produced the amount of time spent on making 66 cars is 33 hours.
Easier Explaination:
Divide the amount of workers to the cars produced to find out how many hours it takes.
