Answer:
Step-by-step explanation:
Add 20 to both sides:
Multiply 8 on both sides:
Divide by 13 on both sides:
What is 47+50- __ - 32
1 answer:
You might be interested in
This type of problems are solved by partitioning the figure into rectangles, whose areas we can find easily.
Picture 1)
From the point denoted by E, draw two altitudes towards the sides AG and AC.
Since ED is 3, then BC is 3. Thus, AB=4-3=1.
Since EF is 1, then HG is 1, so AH=3-1=2.
The area of the figure is equal to the area of rectangle ACDH + the area of the square HEFG.
That is, the area of the figure is 4*2+1*1=8+1=9 (square in).
Picture 2)
As in the first part, draw the altitudes EB and EH from point E.
GF is 5, so AB is 5. This means that BC=7-5=2 (in).
FE is 3, so GH is 3, that is HA=6-3=3.
Thus, Area(figure)=Area(ABFG)+Area(BCDE)=5*6+2*3=30+6=36 (square in.)
Answer: 9 (square in); 36 (square in.)
Picture 1)
From the point denoted by E, draw two altitudes towards the sides AG and AC.
Since ED is 3, then BC is 3. Thus, AB=4-3=1.
Since EF is 1, then HG is 1, so AH=3-1=2.
The area of the figure is equal to the area of rectangle ACDH + the area of the square HEFG.
That is, the area of the figure is 4*2+1*1=8+1=9 (square in).
Picture 2)
As in the first part, draw the altitudes EB and EH from point E.
GF is 5, so AB is 5. This means that BC=7-5=2 (in).
FE is 3, so GH is 3, that is HA=6-3=3.
Thus, Area(figure)=Area(ABFG)+Area(BCDE)=5*6+2*3=30+6=36 (square in.)
Answer: 9 (square in); 36 (square in.)
First we need to find the heigh of the soda can be rearanging the volume formula, 
. We can make that 
We know that V is 36 and radius is half of the diameter, so radius is 2. 
h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can