Answer:
When the dimensions of the shape, such as radius, height, or length, change, both surface area and volume also change. However, the volume of the object always changes MORE than the surface area for the same change in dimensions.
Step-by-step explanation:
Answer:
m(n) = 60000
Amount = 60000/n
Step-by-step explanation:
Given
Budget = 60000
Solving (a) Represent as a function mn
To do this simple substitute m(n) for Budget.
This gives;
m(n) = 60000
Solving (b) Amount each committee will receive.
Since the amount will be shared evenly.
Amount = m(n)/n
Substitute 60000 for m(n)
Amount = 60000/n
This seems to be more of a middle-school-level of a geometry question vs college level.
Either way, what you're doing here is comparing 3 shapes. The square, rectangle, and rhombus. You should definitely know what a square and rectangle look like, but in case you don't know the rhombus, it's the shape that's usually allocated with diamonds, on a 2D plane.
All of these shapes are considered parallelograms. They all have similar features and characteristics, but only to some extent.
Square=Four sides, four 90 degree angles, 2 pairs of opposite congruent angles (meaning all angles are congruent in this case), sum of 360 degrees (90*4)
Rectangle=Four sides, four 90 degree angles, 2 pairs of opposite congruent angles (meaning all angles are congruent in this case), sum of 360 degrees (90*4)
Rhombus= Four sides, Four angles in total measuring up to 360 degrees, 2 acute angles (congruent; less than 90), two obtuse angles (congruent; more than 90). Angle measurements can fluctuate within the 2 acute-2 obtuse parameters. 2 pairs of opposite congruent angles, however, these are not all congruent with each other, unlike the previous two.
All 3 sum to 360 degrees
All 3 have both pairs of opposite angles congruent
All 3 have 4 angles.
~Hope this helps!
For this case, the first thing we must do is define variables.
We have then:
x: amount of money for charity 1.
y: amount of money for charity 2.
We now write the system of equations that models the problem:
We solve the system.
Using substitution we have:
Clearing x:
Then, the value of the second charity is:
Answer:
charity 1 = $ 83500
charity 2 = 65500 $
Answer:
19.5º
Step-by-step explanation:
Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.
33.5 + 127= 160.5
180- 160.5 = 19.5
So, the angle F is 19.5º
Hope this helps !!
-Ketifa