I NEED HELP WITH THIS! ITS A LONG MATH QUESTION TY :D

Answer:

i. 33.51 cm³

ii. 14.14 cm³

iii. 231.61 g

Step-by-step explanation:

(i) the total volume of the paper weight,

Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm

So, V = πD²h/12

V = π(4 cm)² × 8 cm/12

V = 16π cm² × 8 cm/12

V = 128π cm³/12

V = 402.124 cm³/12

V = 33.51 cm³

(ii) the volume of the wooden portion,

The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion

From similar triangles in the figure, we have

height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r

h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm

and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm

So,

r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm

So, V' = πr'²h'/3

V' = π(1.5 cm)² × 6 cm/3

V' = π2.25 cm² × 2 cm

V' = 4.5π cm³

V' = 14.14 cm³

(iii) the total mass of the paper weight.

The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³

So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³

m = 12.726 g + 218.881 g

m = 231.607

m ≅ 231.61 g

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

9514 1404 393

Answer:

  (3, 2)

Step-by-step explanation:

Reflection across y=x swaps the coordinates:

  (x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

  (x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

  (x, y) ⇒ (y/2, x/2)

  (4, 6) ⇒ (3, 2)

Answer:

easy what's 5% of 3000 that's just for one year then multiple it by 4

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

Answer:

Question?

Step-by-step explanation:

?

Answer:

A

Step-by-step explanation:

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Answer:

1375 square inches

Step-by-step explanation:

Area= Length × Width

15in×75in=1125in

25in×10in=250in

250in + 1125in= 1375square inches

Answer:

10.5, 31.5,  and 6.

Step-by-step explanation:

So to find the answers here, we must find the  value of t, when h equals 1.

To do this, lets take a h-t value we already know, and solve.

We can use: when h=2 t equasl 21:

2h=21t

So if we divide both sides by two we get:

2h/2=21t/2

=

h=10.5t

So know we know for every one h, t is 10.5

This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t

So now that we have a value for t, lets get our solutions.

First off, we have 1h=__t?

Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t

Next up, we have 3h=___t

All we have to do it multiply 10.5 by 3 to solve this:

10.5*3

=

31.5

So this is our second fill in answer.

Finally we have ___h=63t

We must divide both sides by 10.5, which is equal to 1t, to find this answer:

63/10.5

=

6

So our last fill in answer is 6.

Hope this helps!

Answer:

It will take 20 minutes to pump out 1000 unit milk tank

Step-by-step explanation:

The pump on the milk tank pumps milk out at a rate of 50 units per minute,

1 minute = 50 units

x minutes = 1000 units

Using the  unitary method x= = 1000*1/50=  20 minutes

It will take 20 minutes to pump out 1000 unit milk tank

Answer:

A)  4/5

B)  2/25

C)  2/45

Step-by-step explanation:

A) P(not blue) = 8/10 or 4/5

B) P(red,blue) = 4/10 x 2/10 = 2/25

C) P(yellow,red) = 1/10 x 4/9 = 2/45

Answer: You should use the mean of the data set to find the average distance he hit the baseball.

Step-by-step explanation:

Answer: Raul should use the mean absolute deviation to find how much the distance that the ball travels during each hit varies, on average, from the mean distance.

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Easy way: use a graphing calculator.

__

Manually: plot the y-intercept and another point.

The given equation is in slope-intercept form:

  y = mx + b . . . . . . . slope m, y-intercept b

For this line, the slope is 2/3, and the y-intercept is 1.

This means the line crosses the y-axis at y=1. You can plot that point on your graph.

The slope of 2/3 means the line will rise 2 units for each 3 units to the right. 3 units right of the y-axis is x=3. 2 units up from y=1 is y=3. So, another point on the line is (x, y) = (3, 3). Plot that point and draw a line through the points you have identified.

Answer:

D

Step-by-step explanation:

Answer:

Point B is to the right of point A

Step-by-step explanation:

On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.

Answer:

It's Cos again.

Thumbs-up

9514 1404 393

Answer:

  (a)  $1430

  (b)  $1340

  (c)  Debit card

Step-by-step explanation:

(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.

__

(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.

  Limit - balance = $2350 -1010 = $1340

The most Jenny can spend using her credit card is $1340.

__

(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.

Answer:

D.(3, 3)

Step-by-step explanation:

The equation of a straight line is given as:

y = mx + c;

where x, y are variables, m is the slope of the line, c is the y intercept.

From the graph, we can see that line 1 passes through (6,0) and (0,6).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{6-0}{0-6} (x-6)\\\\y=-x + 6\ \ \ (1)[/tex]

Line 2 passes through (6, 5) and (0, 1)

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-5=\frac{1-5}{0-6} (x-6)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

To get the coordinates of the intersection of the two lines, we solve equation 1 and 2 simultaneously using a calculator. This gives:

x = 3, y = 3

Therefore the two lines meet at (3, 3)

Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57

Answer:

x = 4

Step-by-step explanation:

i am smart

Answer:

X=4

Step-by-step explanation:

Simplifying

8x + 7 = 6x + 15

Reorder the terms:

7 + 8x = 6x + 15

Reorder the terms:

7 + 8x = 15 + 6x

Solving

7 + 8x = 15 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

7 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x

7 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

7 + 2x = 15 + 0

7 + 2x = 15

Add '-7' to each side of the equation.

7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = 15 + -7

2x = 15 + -7

Combine like terms: 15 + -7 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying.                Hope this helps :D

x = 4.                              Plz brainly and like

Answer:

G

Step-by-step explanation:

G. Plug in x=5 to    x-2<7

which becomes

5-2<7

3<7

which is correct.

Hope This Helps!

Unfortunately, doing this kind of problem by hand would take a very long time. So I recommend using a graphing calculator. Specifically, one that can handle numeric integration. You'll need to find the area under the curve from t = 0 to t = 3. This will tell you the change in velocity during the time period from t = 0 to t = 3 seconds. You should find that

[tex]\displaystyle \int_{0}^{3}\frac{t+3}{\sqrt{t^3+1}}dt \approx 6.71005[/tex]

If you want to do this by hand, you can use Riemann rectangles to break up the area and find the area of each rectangle. Though use of a calculator is recommended here as well.

This result will add onto the initial velocity of 5 to get a final approximate result of 5+6.71005 = 11.71005 which rounds to 11.710

Answer:

D. 6 bags

Step-by-step explanation:

Answer:

The answer is 4 bags

Answer:

30 Step-by-step explanation:

Answer:

Its 60

Step-by-step explanation:

I took the test

Answer:

Add the equations to eliminate x

Step-by-step explanation: