Answer:
312
Step-by-step explanation:
Triangles
1/2 12 *10 = 6*10 = 60
there are two triangles meaning we have to multiply 60 by 2 = 120
Rectangle
12*16 = 192
Add the two and you have the area 120+192=312
Answer:
y=-4x+4
Step-by-step explanation:
The slope is Delta Y over Delta Y so the slope is -4. The Y intercept is at (0,4) sot the equations is y= - 4x +4
Answer: See explanation
Step-by-step explanation:
Here is the complete question:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.
A. Students: 72
Minimum of chaperones: 9
B. Students: 16
Minimum of chaperones: 2
C. Students: 60
Minimum of chaperones: 6
D. Students: 45
Minimum of chaperones: 5
E. Students: 40
Minimum of chaperones: 8
Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.
We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:
Students: 72
Minimum of chaperones: 9
This will be: 72/9 = 8
Therefore, this is correct.
B. Students: 16
Minimum of chaperones: 2
This will be: 16/2 = 8
This is correct
C. Students: 60
Minimum of chaperones: 6
This will be: = 60/6 = 10.
Therefore, this is wrong
D. Students: 45
Minimum of chaperones: 5
This will be 45/5 = 9
Therefore, this is wrong.
E. Students: 40
Minimum of chaperones: 8
This will be: 40/5 = 8.
Therefore, this is wrong.
Therefore, options A and B are correct.
Answer:
f(g(2)) = 102
Step-by-step explanation:
f(x) and f(g(2))
As we can see, we can find g(2) and substitute this value into
f(x)=x² + 2x + 3 instead of x.
g(x) = x² + 5, g(2) = 2² + 5 = 9
f(x)=x² + 2x + 3
f(9)=9² + 2*9 + 3= 102
Answer:
The right answer is: 14,256 cubic inches
Step-by-step explanation:
First of all, let's identify the dimensions of the tank and convert them to inches
Knowing that 1 Feet = 12 inches
So, the dimensions of the tank, expresed in inches will be:
Height (H): 2 ft. x 12 = 24 inches
Width (W): 1.50 ft. x 12 = 18 inches
Lenght (L): 3 ft. x 12 = 36 inches
Before calculating the volume of water inside the thank, We must consider that <em>there are two inches of empty space at the top.</em>
So , We must substract 2 inches to the height to calculate the volume.
Then, the height used for calculating the volume will be:
H'= 24 inches - 2 inches = 22 inches
Then,
Volume (V)= W x L x H'
V= (18 inches) x (36 inches) x (22 inches)
V= 14,256 cubic inches
