What is the surface area of this right prism?

48 in²

84 in²

96 in²

120 in²

Answer:

452.39

Step-by-step explanation:

area of circle = [tex]\pi r^{2}[/tex]

area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)

diameter = 2 x radius, and radius = half of diameter

so

radius = 24 / 2 = 12

[tex]12^{2}[/tex] x π = 452.389342

to nearest hundredth = 452.39

Hope this helps. If you need any further explanation, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

Answer:

266.19 in²

Step-by-step explanation:

[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]  (where r is the radius of the circle)

As a semicircle is half a circle

[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]

From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.

[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]

Therefore, the radius of the circle = 24 ÷ 2 = 12 in

Substitute r = 12 into the equation for the area of a semicircle:

[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]

Answer:

PQ= XY

QR=YZ

RP=ZX

/_P= /_X

/_Q= /_Y

/_R= /_Z

Answer:

FGHI is a Parallelogram

[tex]x=13.8[/tex]

Step-by-step explanation:

[tex]tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}[/tex]

x × [tex]tan41^o=12[/tex] ( divide both sides by [tex]tan41^o[/tex] )

x =  ≈  ( nearest tenth )

Answer:3.5

Step-by-step explanation: Check file

Hey there!

16 + 2 * 36

= 16 + 36 * 2
= 16 + 36 + 36

= 16 + 2 * 6^2

= 16 + 72

= 88

Thus, your answers could possibly be:

• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The probability that the sequence is guessed on the first try is 1/24

The given parameters are:

Colors = 4

Selection = 3

The first color can be selected from any of the 4, the second can be selected from any of the remaining 3 and the third can be selected from any of the remaining 2.

So, the number of sequence is:

Sequence = 4 * 3 * 2

This gives

Sequence = 24

Only one of these sequence is correct

Hence, the probability that the sequence is guessed on the first try is 1/24

Read more about probability at:

https://brainly.com/question/251701

Answer:

I'm sorry for trolling you, but ur mom

Step-by-step explanation:

Answer:

the answer is 980 hope this helps

I think it is the last one

The greatest common factors of the expressions 48ab² and 32a²bare,

⇒ 2⁴ ab

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The expressions are,

⇒ 48ab²

⇒ 32a²b

Now,

GCD of 32, 48 = 16

And, GCD of (ab²) and (a²b) = ab

Thus, The greatest common factors of the expressions 48ab² and 32a²b are,

⇒ 16 ab

⇒ 2⁴ ab

Hence, The greatest common factors of the expressions 48ab² and 32a²bare,

⇒ 2⁴ ab

Learn more about the Greatest common factors visit:

https://brainly.com/question/219464

#SPJ7

Answer:

I don't know. How much he wants I guess.

Step-by-step explanation:

Answer:

Median: 37

First quartile: 33.5

Third quartile: 40.5

Interquartile range: 7

Step-by-step explanation:

Your first step should be putting them in order from least to greatest.

27, 33, 34, 35, 37, 39, 40, 41, and 54. Now to find the median you have to find the middle which in the case would be 37. Now to find the 1st quartile u eliminate the meduan and focus on the lower half of the numbers which would be 27, 33, 34, and 35. If you numbers are even you add and divide by 2. In this case you have to add 34 and 33 and then divide by 2 since they are both in the middle. Your 1st quartile would be 33.5. To find the 3rd quartile you do the same thing as the 1st quartile. Only focus on the upper half now. add both the middles then divide by 2 since there are 2 middles. You 3rd quartile should be 40.5. To fine the inerquartile range you subtract the 1st quartile from the 3rd. so it would be 40.5-33.5 which would give you 7. If you want to fine just the range you would subtract the highest number from the lowest number.

Answer:

Step-by-step explanation:

If the coordinates of A are (3,-6) then the coordinates if A after dilation by a factor 1/3 then the coordinates will be (9,-18).

The dilation is the action or condition of becoming or being made wider, larger,or more open, point or figure. The area of shape will be area/ factor after dilation.

We have been given point A whose coordinates are (3,-6). We have to plot the point A after dilation with factor 1/3,

The x value after dilation will be 3/1/3=9

The y value after dilation will be -6/1/3=-18.

Hence the coordinates of A after dilation are (9,-18).

Learn more about dilation at https://brainly.com/question/3457976

#SPJ2

The equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1

The equation of a lins is a linear equation and expressed as:

y = mx + b

m is the slope

b is the y-intercept

Determine the equation in point slope form

y - y1 = -1/m(x - x1)

y -(-2) = 3/2(x + 2)
y + 2 = 3/2(x+2)

Write in slope-intercept form

2(y+2) = 3(x+2)

2y + 4 = 3x + 6
2y = 3x - 2

y = 3/2x - 1

Hence the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1

Learn more on equation of aline here:  https://brainly.com/question/7098341

Answer:

I think it is 4/9 pi r

Step-by-step explanation:

according to the condition given:

2nd cone has:

Height = 12cm

r= 1/3r (cause it's given 1/3 of radius of the original cone)

We know that volume of a cone is = 1/3 pi (r)^2 h

Now substitute the values:

1/3 * pi* (1/3r)^2 * 12

when u simplify u will get

pi* 1/9*r*4 = 4/9 pi r

So, the answer is probably 4/9 pi r.

The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.

Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.

The annual percentage rate(APR) = 8%

We know the formula for finding the money factor is given by:

[tex]\rm Money \ factor = \frac{APR}{2400}[/tex]

[tex]\rm Money \ factor = \frac{8}{2400}[/tex]

Money factor = 0.00333

Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

Learn more about the money factor here:

https://brainly.com/question/9583229

Answer:

x = 9

Step-by-step explanation:

You need to use PEDMAS (Parentheses, exponents, division, multiplication, addition, subtraction) to solve the equation.

1.) Begin by multiplying the values inside of the parentheses by the (-3).

2.) Isolate the variable by adding (15) to both sides.

2.) Isolate the variable by subtracting (2x) from both sides.

Starting Equation.)        2x - 6 = -3(5-x)

                            1.)       2x- 6 = -15 + 3x

                           2.)       2x + 9 = 3x

                           3.)        9 = x

Volume = 6³ dm³

Volume = 216 dm³

Volume = 10 × 8 × 6 cm³

Volume = 480 cm³

Volume = 1/3 × 14 × 17 × 12.86 cm³

Volume = 1020.226 cm³

Volume = 3.14 ×6.5² × 5 m³

Volume = 663.325 m³

volume = 1/3 × 18.5² × 16 cm³

Volume = 1825.3 cm³

Volume = 4/3 ×3.14 × 7³ m³

Volume = 1436.026 m³

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability of one quote being chosen at least two times is given by:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351[/tex]

[tex]P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321[/tex]

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328[/tex]

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:3200

Step-by-step explanation:

Answer:

no. 1

Step-by-step explanation:

visual brain cuz im on the moon

Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

answer

4√5/5

i hope u understand what i meant by that

sry hope this helps

Answer:

4√5/5

Step-by-step explanation:

yw :)

Answer:

The rate of decay is: [tex]2\%[/tex]

Step-by-step explanation:

Exponential functions are modeled by:

[tex]f(x) = a(b)^x[/tex]

Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.

To calculate the percentage, subtract [tex]b[/tex] from 1:

[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]

Multiply the result by 100 to get the percentage.

[tex]0.02 * 100 = 2\%[/tex]

Answer:

12+y

Step-by-step explanation:

Given,

a=6

b=6

c=y

Perimeter of triangle= sum of all sides of triangle

= 6+6+y

= 12+y

Answer:

Step-by-step explanation:

Perimeter is the length of any closed figure. So for a triangle, the Perimeter is equal to P = a + b + c.

You are told that the triangle is isosceles which means it has 2 equal. You are to presume that the third side is not equal to the other 2.

a=  6

b = 6

c = y

Perimeter = a + b + y

Perimeter = 6 + 6 + y

Perimeter = 12 + y

You cannot go any further. There is no way to reduce it any further.

[tex]\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}[/tex]

Answer:

f = food variable

d = number of days

Equation: f = 1.5d

Answer:

48 units sq

Step-by-step explanation:

Find the area of each square/rectangle

2x2

2x5

2x5

2x5

2x2

2x5

Add all the parts together

4 + 10 + 10 + 10 + 4 + 10

= 48 units sq