MATHEMATICS HIGH SCHOOL

NVM it is DFind the surface area of the cylinder with a radius of 9 inches and a height of 11 inches in terms of pi
a) 198 pi in^2
b) 234 pi in^2
c) 846 pi in^2
d) 360 pi in^2

Answers

Answer 1
Answer: T.S.A of a cylinder = 2\pir² + 2\pirh
                              =2(9)²\pi + 2(9)(11)\pi
                              = 162\pi + 198\pi
                             = 160\pi in²

And yes the Answer is D. 360\pi in²

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If 81 came out, what was dropped in?I have rewritten the problem to but do not know how to solve it.

Adam, Beth, and Carly walked a total of 10 miles collectively. Beth walked twice as far as Adam, and she walked a half a mile further than Carly. If a = number of miles Adam walks, b = number of miles Beth walks, and c = number of miles Carly walks, which equation is NOT true for this situation?A) b = 2a
B) b = c + 0.5
C) 3a + c = 10
D) a + 2c = 10.5

Answers

D) a+2c=10.5

Since b=c+(1)/(2)
a+b+c=10
a+(c+1/2)+c=10
a+2c+1/2=10
a+2c=9.5

Answer: Option 'D' is not correct.

Step-by-step explanation:

Since we have given that

Total distance walked by Adam , Beth, and Carly = 10 miles

Let number of miles Adam walks be a

Let number of miles Beth walks be b

Let number of miles Carly walks be c

According to question,

Beth walked twice as far as Adam

So, the equation will be

b=2a

Thus, Option 'A' is satisfied.

Now, Beth walked a half a mile further than Carly.

So, the equation will be

b=c+0.5

Thus, Option 'B' is correct.

Now, we substitute the first equation, then we get

a+b+c=10\na+2a+c=10\n3a+c=10

Thus, Option 'C' is correct.

The only incorrect equation is Option 'D' .

What is the volume of the container needed to store 0.8 moles of argon gas at 5.3 atm and 227°C?. . (Given: R = 0.08205 l · atm/mol · K). . 2.81 liters. . 4.39 liters. . 6.19 liters. . 9.67 liters

Answers

T = 227 ° C + 273 = 500 K
V = R n T/p = (0.08205 l atm/mol K * 0.8 mol* 500 K) / 5.3 atm = 6.19 lit
Answer: C ) 6.19 liters

Answer:

6.19 L

Step-by-step explanation:

We are given that

Number of moles of argon gas=0.8 moles

Pressure =P=5.3 atm

Temperature =T=227 degree Celsius=227+273=500k

We have to find the volume of the container needed to store the argon gas.

We know that

PV=nRT

Where R=0.082051 L atm/ mol k

Substitute the values in the given formula

5.3* V=0.8* 500* 0.82051

V=(0.8* 0.082051* 500)/(5.3)=6.19 L

Hence, the volume of container needed to store the gas=6.19 L

Write (5+2yi)(4-3i)-(5-2yi)(4-3i) on a+bi form, where y is a real number

Answers

the answer is attached here

Add.
5x^2- 5x+1
2x^2+9x-6

Answers

Answer: C. 7x^2+4x-5

Step-by-step explanation:

Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.

A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. the value of x is ___, the value of y is ___.

Answers

Use the equation y = mx +c
y = 2/3x +c              Substitute the slope (m) in
5 = 2/3(-2) +c          Substitute the point (-2,5)
5 = -4/3 +c               Make C the subject
c = 19/3

y = 2/3x + 19/3        This is the equation of the line.

Next you start subbing the points A and B in separately, using the same equation.

Subbing A(x, 3)
3       = 2/3x + 19/3         Make x the subject to find it.
-10/3 = 2/3x
     -5 = x

The point A is (-5,3)

Subbing B(-2, y)
y = 2/3(-2) + 19/3           y is already the subject and you just solve it
   = -4/3 + 19/3
y = 5

The point B is (-2, 5)

I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<

Answer:

(x) = -5 (y) = 5

Use the information to answer the question.A store is having a sale on hats. The sale is buy one hat get one 50% off. The original price of one hat is $24.98. Alex bought several hats, and the
total cost was $187.35.

Answers

Answer:

  • 10 hats

Step-by-step explanation:

Original price

  • $24.98

Sale price

  • $24.98*1.5 = $37.47 for two hats

Total cost

  • $187.35

Hats sold:

  • 187.35/37.47 *2 = 10 hats
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