Answer:
=193.2 cm
Step-by-step explanation:
- Figure out the triangles first
- Area= Base times Height divided by 2
- first figure out one triangle A= (6)(5.2)/2 = 15.6 (brackets means times and the slash means divide
- times it by 2 so you get the area of both triangles (15.6)(2)= 31.2
- Now figure out the rectangles
- Area= Base times Height
- A=(6)(9) = 54
- Then times it by 3 to get the area of all three triangles
- (54)(3)= 162
- Now add 162 and 31.2 and you get 193.2 cm
Answer:
108
Step-by-step explanation:
View Image.
Whenever you have a limit and the answer to that limit is one of the indeterminant form, you can use the L'Hopital's Rule to solve for the limit.
<u>Indeterminant forms:</u>
<u>L'Hopitals Rule:</u>
L'Hopitals rule is just taking the derivative of the numerator, and the derivative of the denominator separately.
After doing the L'Hopital's rule, take the limit again. If the result is an actual number then you got your answer.
If the result is another indeterminant form then use L'Hopitals rule again and check the limit again after that. Repeat the process until you get your answer.
Area of triangle= (base*hieght)/2
T=(5*6)/2=15
T=15
To the right of T = (4*8)/2 = 16
Triangle to the right of T=16
Y=(6*6)/2 = 18
Y=18
A=(5*7)/2 = 17.5
A=17.5
To the right of A = (7*7)/2 = 24.5
A=24.5
E = (6.4*8.5)/2 = 27.2
E = 27.2
I = (2.7*3.6)/2 = 4.86
I = 4.86
N = I cant read N
D = (19*17)/2 = 161.5
D = 161.5
Do you think you can complete the rest?
Answer:
Step-by-step explanation:
Let x represent the number of batches of soap that Lilth makes.
Let y represent the number of batches of lotion that Lilth makes.
It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that
x/3 + 7y/12 = 20
4x + 7y = 240- - - - - - - - - - -1
The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that
5x + 15y ≤ 325 - - - - - - - - -2
4x = 240 - 7y
x = (240 - 7y)/4
Substituting
5(240 - 7y)/4 + 15y ≤ 325
(1200 - 35y)/4 + 15y ≤ 325
1200 - 35y + 60y ≤ 1300
25y ≤ 1300 - 1200
25y ≤ 100
y ≤ 100/25
y ≤ 4
4x + 7 × 4 = 240
4x + 28 = 240
4x = 212
x = 212/4 = 53
Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion
Answer:
13/24
Step-by-step explanation:
=3/8+1/6=9/24+4/24=(9+4)/24=13/24
