A. 19 units
B. 38 units
C. 12 units
D. 22 units

Answer:

V = r(40 - 3πr²)/2

Step-by-step explanation:

We know the area of a cylinder, A = 2πr² + 2πrh where r = radius and h = height.

Now, 2πr² = area of top and bottom and 2πrh = curved surface area

Since the cost of material for the top and bottom is 3 cents per square inch, the total cost of the materials for top and bottom = cost of material × area = 3 × 2πr² = 6πr²

Also, the cost of material for the curved is 2 cents per square inch, the total cost of the materials for the curved side = cost of material × area = 2 × 2πrh = 4πrh

The total cost of material = 6πr² + 4πrh

Since the total cost of material = 80 cents,

6πr² + 4πrh = 80

3πr² + 2πrh = 40  (1)

Now, the volume of a cylinder, V = πr²h

From (1), making h subject of the formula, we have

3πr² + 2πrh = 40  

2πrh = 40 - 3πr²  

h = (40 - 3πr²)/2πr

Substituting h into V, we have

V = πr²h

V = πr² (40 - 3πr²)/2πr

V = r(40 - 3πr²)/2

Answer:

[tex]y = x - 5[/tex]

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

[tex]y = (1 \times x) + (-5)[/tex]

[tex]=> y = x - 5[/tex]

Answer:

4

Step-by-step explanation:

2 out of 5 play so if there is 10 students 10*2/5 = 4 students

Answer:

4 students would play soccer

Step-by-step explanation:

To make the total students 10 instead of 5 we multiply the information by 2. 2/5 times 2 equals 4/10. So 4 out of 10 studento play soccer

i think a is the answer but am not sure

Answer:

D) 55.8

Step-by-step explanation:

what is the probability that the third spinner lands on a perfect square or a gray space?

6/12 or 1/2

Answer:

There are 6 gray spaces (12, 2, 4, 6, 8, 10) and 3 perfect squares (4, 9, 1). However, 4 is repetitive (it is gray and a perfect square) so there are only 8 we want. There are 12 numbers/spaces in total. The probability formula is (# of desired outcomes)/(# of total outcomes). In this case, there are 8 desired outcomes and 12 total outcomes. So, our answer is 8/12, or 2/3.  

Answer: 20

Step-by-step explanation:

if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20

Answer:

87

Step-by-step explanation:

87 x 11= 946

946-88-79-83=696

696/8 = 87

Answer:

1.6 * 10^{-8}

Step-by-step explanation:

Given the following data;

Time = 0.000000016 nanoseconds

To express in standard scientific notation;

Scientific notation is a standard way of expressing very large numbers in powers of 10.

0.000000016 nanoseconds = 1.6 * 10^{-8} nanoseconds.

Note: count the number of zeros (0s) before 1 and write it to the power of 10.

Answer:

the correct answers are 1.6E-8 and 1.6 × 10-8

Answer:

$3+x is less than or equal to $15

Step-by-step explanation:

I can't write the sign but it's < with a line under it

Step-by-step explanation:

y≥15-3

I am not sure

Answer:

7k+7

41

Step-by-step explanation:

Distribute the 7 -

7(k+1)

7 * k = 7k

7*1 = 7

so 7k + 1

Insert 3 instead of x, so it reads -

[tex]5[/tex][tex](3)^{2}[/tex] - 4

[tex]3^{2} = 9[/tex]

9 * 5 = 45

45 - 4 = 41

6×25= 150

17×5= 85

150+85= 235

the answer is 235 :3

Answer: - 3/2

Step-by-step explanation:

Use this formula to find the slope for any two given points.

(4, 3) and (6, 0)

↓   ↓            ↓  ↓

x1  y1           x2 y2

y2 - y1     0 - 3      

--------- = ---------- = -3/2

x2 - x1      6 - 4

Hope this helped! :)

Answer:

See the proof below

Step-by-step explanation:

prove that 1-cosA/sinA=cosecA-cotA​

Starting from RHS

cosecA-cotA​

From trig identty

cosec theta = 1/sintheta and cot theta = cos theta/sin theta

Hence;

cosecA-cotA​

= 1/sinA - cosA/sinA

FInd the LCM

= 1-cosA/sinA (LHS)

Answer:

a=62

Step-by-step explanation:

11a + 9c=2482 equation 1

a + c = 262 equation 2

a=262-c isolate value of a in equation

11(262-c) + 9c = 2482 substitute value of a (262-c) into equation 2

2882-11c + 9c= 2482 solve

-2c=-400

c=200

a+c=262

a+200=262

a=62

Check answer:

11a + 9c=2482

11(62)+9(200)=2482

682+1800=2482

2482=2482

Answer:

c the answer is c

Step-by-step explanation:

Answer:

C

I hope this helps

9514 1404 393

Answer:

  D  (53π)/180

Step-by-step explanation:

There are π/180 radians in 1 degree, so in 53°, there are ...

  53(π/180) radians = (53π)/180 radians

Answer:

1/16 or 0.0625

Step-by-step explanation:

There are two numbers on the chart that are divisible by 3.

So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.

The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.

To get: 1/16

Step-by-step explanation:

S+T+U=180°{sum of angle of triangle}

sin theta= p/h

sin22°=x/83

o.37=x/83

x=0.37×83

x=30.71

x=31

stay safe healthy and happy.

14 is the asnwer because sqaure root of 200 is 14.14213562 and if you round that it is 14

Answer:

8.302

Step-by-step explanation:

cos(41)x/11

since x is on top then just multiply

cos(41)(11)

x=8.302 round it how u like

Answer:

8.3

Step-by-step explanation:

It has been awhile since I have done this so I may be a bit rusty.

a = (sin(A)⋅b) / sin(B)  =  (sin(49.00∘)⋅11.00)   /  (sin(90.00∘))    =    8.30

Answer:

y=5

Step-by-step explanation:

Plugging in the two points.

(2,5). y=mx+b or 5=0 × 2+b, or solving for b: b=5-(0)(2). b=5.

(0,5). y=mx+b or 5=0 × 0+b, or solving for b: b=5-(0)(0). b=5.

Hence, equals to y=5

Answer:

C) 120,000

Step-by-step explanation:

Let's use fractions.

7800 = x

---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.

39,000,000 = 325x

----------------- --------

325 325

Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.

39,000,000 /325 = 120,000

325x / 325 = x

x = 120,000

Answer:

500

Step-by-step explanation:

(11-3)^3-2x6

first evaluate 11-3-->8

then cube it-->8^3=512

then multiply 2x6-->12

then subtract the two-->512-12=500

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{Just do PEMDAS}[/tex]

[tex]\huge\textsf{Parentheses}[/tex]

[tex]\huge\textsf{Exponents}[/tex]

[tex]\huge\textsf{Multiplication}[/tex]

[tex]\huge\textsf{Division}[/tex]

[tex]\huge\textsf{Addition}[/tex]

[tex]\huge\textsf{Subtraction}[/tex]

[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]

[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]

[tex]\mathsf{3^3 - 2 \times 6}[/tex]

[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]

[tex]\mathsf{27 - 2 \times6 }[/tex]

[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]

[tex]\mathsf{27 - 12}[/tex]

[tex]\boxed{\mathsf{\bf= 15}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

y = x + 3

Step-by-step explanation:

Equation of the line can be written as y = mx + b (slope-intercept form)

Let's find the slope (m) and the y-intercept (b)

Slope (m) = change in y/change in x

Using two points on the line, (0, 3) and (1, 4),

Slope (m) = (4 - 3)/(1 - 0) = 1/1

m = 1

y-intercept (b) = 3 (the coordinate of the point where the y-axis is intercepted by ye line)

To write the equation, substitute m = 1 and b = 3 into y = mx + b

y = 1(x) + 3

y = x + 3

Answer:

4th option

Step-by-step explanation:

[tex]\frac{n}{360}[/tex] represents the fraction of the circle occupied by the sector , that is

The ratio of degrees in the sector's central angle to the total number of degrees in the circle

Option 4 is correct. The ratio of degrees in the sector's central angle to the total number of degrees in the circle.

Fraction is defined as the number of composition constitute the Whole.

area of a sector is a secotor = n/360 degrees pie r^2
n =number of fraction at which the circle is divided
mean n = in degrees x number of angles.
and the ratio n/360 degrees
describes the number of partition to the circle.

Thus, the ratio n/360 degrees defines The ratio of degrees in the sector's central angle to the total number of degrees in the circle.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ2

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

Answer:

Yup

Step-by-step explanation:

91 - 22 = 69

Answer:

yes,

distance = time * speed

the more hours you spend in the road, the longer distance you took

Step-by-step explanation:

Answer:

Yes, the relationship between hours elapsed x and distance traveled y represent a proportional relationship.

Step-by-step explanation:

This is because he continuously stayed at a constant speed and didn't change. Once you stay at a constant speed then it will always be a proportional relationship.