Unit 11: Volume & Surface Area
Homework 1: Area of Plane Figures
Directions: Find the area of each figure. Round to the nearest hundredth where necessary.
2. and 11. all I need
will give brainliest if u get it right I promise​

Answer:

d

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

Answer:

414π

Step-by-step explanation:

Volume of a cylinder = area of circle/ cross-section x height

Area of cross-section = πr² = 6²π = 36π

36π x 11.5 = 414π

Answer:

1300.61936 cm

Step-by-step explanation:

:))

Answer:

137 in.^2

Step-by-step explanation:

A = nsa/2

where

n = number of sides = 9

s = length of side = 4.7 in.

a = length of apothem = 6.5 in.

A = (9)(4.7 in.)(6.5 in.)/2

A = 137.475 in.^2

Answer: 137 in.^2

Answer:

Step-by-step explanation:

5 + 6 = 11 x 2 - 1 = 21 therefore its 21

Answer:

$8.25

Step-by-step explanation:

I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.

Answer:

1/5%

Step-by-step explanation:

The percentage of the model shaded green will be 20.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

The total number of the box in the figure is 100.

The total number of shaded green = 20

So,

[tex]\dfrac{20}{100} \times 100[/tex]

20%

Therefore, The percentage of the model shaded green will be 20.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps

9514 1404 393

Answer:

  6.  4

  7.  36

Step-by-step explanation:

The given conditions in each case allow you to conclude that the triangles are congruent. Corresponding parts of congruent triangles are congruent.

__

6. YX = YZ = 4

7. Angle XWY is congruent to angle ZWY, so is 18. Angle XWZ is the sum of those two angles, so ...

  ∠XWZ = ∠XWY +∠ZWY = 18 + 18

  ∠XWZ = 36

Answer:

17

Step-by-step explanation:

[tex]\sqrt{x} = 4.1[/tex]

16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D

Answer:

V = 706.5 in³

Step-by-step explanation:

V = πr²h = 3.14(5²)9 = 706.5 in³

Answer:

the lcm is 6

Step-by-step explanation:

6 divided by 3 is 1

18 divided by 3 is 6

6 becomes 3 and 2

Answer:

18

Step-by-step explanation:

Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM

9514 1404 393

Answer:

  $341.75

Step-by-step explanation:

You have not provided the formula, so we'll use one we like:

  A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months

  A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75

The monthly payment is about $341.75.

Answer:

A sample of 151 cans must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The standard deviation of fill volumes is 0.05 ounce.

This means that [tex]\sigma = 0.05[/tex]

How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce?

We need a sample of n.

n is found when M = 0.008. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.008 = 1.96\frac{0.05}{\sqrt{n}}[/tex]

[tex]0.008\sqrt{n} = 1.96*0.05[/tex]

[tex]\sqrt{n} = \frac{1.96*0.05}{0.008}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.05}{0.008})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

A sample of 151 cans must be selected.

Answer:

20 units

Step-by-step explanation:

Volume of a cylinder = πr²h

V = πr²h

height, h = 7

V = π * r² * 7

V = 8792

8792 = 21.991148 * r²

r² = 8792 / 21.991148

r² = 399.79722

r = √399.79722

r = 19.99unit

r = 20 units

Answer:

12 minutes

Step-by-step explanation:

The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath

Answer:  Do you have a pic

Step-by-step explanation:

9514 1404 393

Answer:

  $364,130.83

Step-by-step explanation:

You put in $160 monthly for 32 years, so your contribution is ...

  $160×12×32 = $61,440

The difference between the account balance and your contribution is ...

  $425,570.83 -$61,440 = $364,130.83

There is $364,130.83 more in the account than what you put in.

Answer:

22.1

Step-by-step explanation:

Because of it being a pyramid we must use the equation Bh1/2

B = L + W  we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height

9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5  

44.16/2 = 22.08 then finally rounding to the nearest tenth

making 22.1 cubic inches

Answer:

see explanation

Step-by-step explanation:

f(x + 2) is a horizontal translation of f(x) 2 units to the left

f(x - 2) is a horizontal translation of f(x) 2 units to the right

Given

f(x) = x³ , then

f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left

f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right

Answer:

The second answer option

Step-by-step explanation:

Lmk if you need explanation

Answer:

3/10

Step-by-step explanation:

Answer:

Box dimensions:

L = 3 ft

D = 6 ft

H = 1 ft

Volume  V = 18 ft³

Step-by-step explanation:

a) Each side of the future box is

L = 5 - 2*x     D = 8 - 2*x  

height of the box is   x

Then the volume of the box as function of x is:

V(x) =  ( 5 - 2*x ) * ( 8  - 2*x ) * x

V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x

V(x) = 40*x - 26*x² + 4*x³

Tacking derivatives on both sides of the equation:

V´(x) = 40 - 52*x + 12x²     or     V´(x) = 20 - 26*x + 6*x²

If V´(x) = 0

6*x² - 26*x + 20  = 0

Solving for x

x₁,₂  = (-b ± √ b² - 4*a*c  ] /2*a

x₁,₂  = ( 26  ±  √ 676  - 480  ) / 12

x₁,₂  =  (26 ± 14 )/ 12

x₁  = 1

x₂ = 3,33        ( we dismiss this solution since is not feasible according to cardboard dimensions )

Then the sides of the box are:

L = 5 -2*x      L  =  5 - 2*1     L = 3 ft

D = 8 - 2*x    D  = 8 - 2*1     D = 6 ft

H = x = 1 ft

And the volume is    V = 6*3*1 = 18 ft³

Answer:

w = 1/2

Step-by-step explanation:

One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.

log b (a) = c

b^c = a

By plugging in the numbers we get this:

log 16 (4) = w

16^w = 4

w = 1/2

Answer:

Negations.

Step-by-step explanation:

The first statement is:

p ∧ q

(p and q)

This statement is only true when:

p = true

and

q = true.

And is false in all the other cases.

The other statement is:

¬q ∨ ¬p

(not q or not p)

This statement is only true if at least one of the elements is true, this happens if:

q =false (then ¬q = true)

or

p = false (then ¬p = true)

Then the first statement needs p and q to be true.

The second statement needs at least one of these to be false.

This means that when the first statement is true, the second statement is false.

When the first statement is false, the second one is true.

Then the statements are negations.

Answer:

50 cents

Step-by-step explanation:

half of 5.00$ is 2.50$

Answer:

178.3

Step-by-step explanation:

Hello There!

We can find the value of y using trigonometry

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

For the angle that has a measure of 27 degrees

we are given its adjacent angle and we need to find its opposite angle (y)

Adjacent and Opposite sides corresponds with the trigonometric ratio Tangent so we are going to use the trigonometric ratio tan to solve for y

Now we set up an equation (remember tangent = opposite over adjacent)

[tex]tan(27)=\frac{y}{350}[/tex]

Now that we have created an equation we want to solve for y

What we want to do is isolate the variable using inverse operations

So basically we want to get rid of the 350

The opposite of division is multiplication so we multiply each side by 350 to get rid of it

[tex]tan(27)*350=350tan(27)\\\frac{y}{350} *350=y\\y=350tan(27)\\350tan(27)=178.3339073\\[/tex]

so we can conclude that y = 178.3339073

finally we want to round to the nearest tenth and we get that the answer is 178.3