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Rudik [331]
3 years ago
6

6. Sketch the region enclosed by the graphs of x =0, 6y-5x=0 and x+3y=21. Find the area

Mathematics
2 answers:
Gala2k [10]3 years ago
4 0

6. 52.5

7. 13.3

I'm still waiting for feedback but those are my answers I'm almost certain on 6 but 7 I'm unsure. I used gizmos to help me out.

kow [346]3 years ago
3 0
We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h

1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6

Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
A2=(1/2)*5*15=75/2
3) whole area=A1+A2=25/2+75/2=100/2=50

You might be interested in
Solve the following inequality. 4x-1> -9
pychu [463]
Solve inequalities the way you would solve an equation except for this rule-
If you multiply or divide a negative, the sign must be switched.

Do the inverse of everything like in an equation-
4x-1> -9
+1      +1 (Add 1)
4x>-8
/4    /4     (Divide 4)
You are not dividing a negative number from another number.  So keep the sign.
x>-2
Your answer is C.


3 0
3 years ago
6x+1=6x-8. I need to show my work also
Alenkasestr [34]

Answer:

No solution.

Step-by-step explanation:

Lets try to solve it.

6x + 1 = 6x - 8      Bring like terms to the same side:  

6x - 6x =  -8 - 1

0 = -9  which is absurd so there is no solution to this equation.

7 0
3 years ago
Read 2 more answers
What’s the inequality?
Hitman42 [59]

Answer:

x: numbers of hot chocolate selling

y: numbers of apple cide selling

1x + 2y ≥ 240

2y ≥ 240 - x

y ≥ 120 - 0.5*x


7 0
3 years ago
How do I solve for X in x/2 + x-3/5= 3
alexandr402 [8]
First of all,we have to cancel off the denominator.

times 2 to the equation in order to cancel off the denominator "2"
(x2) x+2x-6/5=6
#all numbers in this equation will be timed by 2 as well

then times 5 to cancel off the denominator"5"
(x5) 5x+10x-6=30
#all of them are timed by 5

then u will see this equation:
5x+10x-6=30

plus up the unknown numbers,
15x-6=30

Move the negative number "-6" to the back of 30.

When negative number moved to the other side,it will become positive number.
Same as when positive number moved to the other side,it will become negative number.

Thus,
"-6” moved
become positive "6"
Usually positive means plus"+" while negative means minus"-".

15x=30+6
15x=36

Move 15 to the opposite side,
Timed by 15 become divided by 15.

Just like the positive and negative numbers,they forced to become the opposite things.
positive→negative OR negative→positive
plus→minus OR minus→plus
times→divide OR divide→times

Thus,
x=36÷15
OR u can write as fraction,
x=36/15
x=12/5

final ans:
x=12/5 OR 2.4


3 0
2 years ago
Yeah 82,300,000 scientific notation
IceJOKER [234]

Answer:

Dear user,

Answer to your query is provided below

82300000 in scientific notation = 8.23 × 10^7.

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

4 0
3 years ago
Read 2 more answers
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