Answer:
the height of the front doorstep is 12 cm
angle given is 15 degree
so, the length of the ramp wooden peice should be 44.7
mark me brainliest plsss
plssss
We know that 1 ft= 1/3 yd.
2 ft* (1/3 yd/ 1 ft)* ($12.99/ 1 yd)= $8.66
(Note that the units cancel out so you get the answer)
2 ft of fabric will cost $8.66~
Answer:
- 8 small houses; 0 large houses
- 80 small houses; 0 large houses
Step-by-step explanation:
a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.
Sam should make 8 small houses and 0 large houses in 24 hours.
__
b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.
_____
If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.
If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.
154-2= 152/8= 19
answer is 19
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If 
, then 
.
Let's simplify that.
Distribute with 
:
Combine the end like terms 
:
Use 
identity for 
:
Combine like terms 
and 
:
We are given 
.
So we have that 
.
The vertex happens at 
.
Compare 
to 
to determine 
.
Let's plug it in.
So the 
coordinate is 5.
Let's find the corresponding 
coordinate by evaluating our expression named 
at 
:
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is 
where the vertex is 
.
Let's put 
into this form.
We are given .
We will need to complete the square.
I like to use the identity 
.
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.
