What is the volume of the right prism

A. 1275
B. 600
C. 1020
D. 680

Answer:

182

Step-by-step explanation:

We need to find 3/4 of 242.  To do this, multiply 3/4 by 242:

[tex]\sf \implies \dfrac34 \times 242=\dfrac34 \times \dfrac{242}{1}=\dfrac{3 \times 242}{4 \times 1}=\dfrac{726}{4}=181.5[/tex]

181.5 rounded is 182.

Therefore, approximately 182 students went on the field trip.

49, 36, 25, 16, 9, 4

============================================================

Explanation:

We always start with n = 1 when it comes to sequences and series problems.

Plug in n = 1 to get

[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]

The first term is 49, showing that the answer is choice C.

We can stop here, but I'll show how to do another one to help you get practice.  Plug in n = 2.

[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]

I'll let you compute the other terms.

Answer:

49,36,25,16,9,4

Step-by-step explanation:

First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.

Foil out the equation:

a=(n-8)^2

a=(n-8)(n-8)

a=n^2-8n-8n+64

a=n^2-16n+64

Now find the values by substituting values n>=1:

49=1^2-16(1)+64

36=4-32+64

etc.

Answer:

Variables

Let m = number of movies rented

Let g = number of video games rented

Given:

System of equations

m + g = 5

2m + 3g = 13

Solution

Rewrite  m + g = 5  to make m the subject:

⇒ m = 5 - g

Substitute this equation into  2m + 3g = 13 and solve for g:

⇒ 2(5 - g) + 3g = 13

⇒ 10 - 2g + 3g = 13

⇒ 10 + g = 13

⇒ g = 3

Substitute found value of g into  m = 5 - g  and solve for m:

⇒ m = 5 - 3

⇒ m = 2

Therefore, 2 movies and 3 video games were rented.

Answer:

11 inches

Step-by-step explanation:

The perimeter of a rectangle is 2*(base) + 2*(height), or P = 2B + 2H

P = 2B + 2H

P = 2B + 2H

52 inches = 2(15 in) + 2H

2H = 22 inches

B = 11 inches

Answer:

the number is 15

Step-by-step explanation:

The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95

It is given that

The value of Sinx=0.3

Now we know that

[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]

Hence the value of  Cosx=[tex]\pm[/tex]0.95

To know more about trigonometry identities follow

https://brainly.com/question/24496175

Answer:

i guess 36 ft in cubic feet

Step-by-step explanation:

= 8 x 9/2

= 4 x 9

= 36

Answer:

Density is mass over volume so if the mass is being divided the value is smaller and volume is being multipliedd so value is larger but since volume is the denominator and is getting larger you are going to end up with a smaller number since smaller number gets/ larger number gets = smaller value gets

Step-by-step explanation:

from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.

if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.

Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]

Answer:

okay so i think the length of CD is 16cm

Answer:24cm is the perimeter

Answer:

24 cm :)

Step-by-step explanation:

Hexagon perimeter: l x 6

Now lets solve!!

4 x 6 = 24 :)

Have an amazing day!!

Please rate!!

Answer:

72 squared meters

Step-by-step explanation:

triangle area= 1/2 bh

16 x 9 = 144

144 x 1/2 = 72

Hope this helps

Answer:

A = 72m



The sides we would need to multiply are:
9m x 16m

The formula for finding the area of a triangle is:
L x W X 1/2


9m x 16m =

9m x 10m = 90
9m x 6m = 54


90m + 54m = 144m

144m / 2 = ?m

? = 72m

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

please what is the dimension for the length and breadth

Answer:

[tex]\left( 3-2i\right) \left( 3+2i\right) =13[/tex]

Step-by-step explanation:

Note :

i² = −1

(a - b)(a + b) = a² - b²

________________

[tex]\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2[/tex]

                         [tex]=9 - (2)^2\times i^2[/tex]

                         [tex]=9 - 4(i)^2[/tex]

                         [tex]=9-4\times(-1)[/tex]

                         [tex]=9+4[/tex]

                         [tex]=13[/tex]

Answer: (3 – 2i)(3 2i)=13

Step-by-step explanation:

edge2020

Answer:

6.3 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!!

3^2 + b^2 = 7^2

9 + b^2 = 49

Now we subtract!!

49 - 9 = b^2

40 = b^2

Now we need to find the square root!!

[tex]\sqrt{40}[/tex] = 6.3

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

y=2 cos (π/4x-π/4)

Step-by-step explanation:

Given

A cosine function has an amplitude of 2, a midline of 5 and a period of 8.

To find:

A cosine function.

Explanation:

Let the function be,

[tex]y=Acos(ws+p)[/tex]

Since amplitude is 2.

Then,

[tex]A=2[/tex]

Also, since the period is 8.

Then,

[tex]w=\frac{2\pi }{8}[/tex]

[tex]w=\frac{\pi }{4}[/tex]

And, since midline is 5.

Hence, the cosine function is,

y=2 cos ([tex]\frac{\pi }{4}[/tex]x-[tex]\frac{\pi }{4}[/tex]

let's recall that d = rt, namely distance = rate * time.

d = distance from one pier to another

c = speed of the current

b = speed of the boat

now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.

when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.

now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.

from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.

[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]

Answer:

yes

Step-by-step explanation:

your answer is correct

Answer:

115

Step-by-step explanation:

If 65 is subtracted from 180the answer is 115

Answer:

triangle D and F

Step-by-step explanation:

triangle D and F are the same as A, just angled differently.

God bless! hope i helped someone, somehow.

Answer:

D,F

Step-by-step explanation:

[tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

[tex]\rm 3x^2[/tex]  and

[tex]x^2y+3xy^2+1[/tex]

For [tex]3x^2[/tex]

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, [tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

The polynomial 3x2 is a monomial with a degree of 2

The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3

Step-by-step explanation:

Answer:

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!

Answer:

According to my calculation this is the answer.Hope the picture will help you...

Answer:

1/6 i think

Step-by-step explanation:

Step-by-step explanation:

radius = 10 cm

volume = v

height h cm

[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]

hope it's helpful thanks

Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

Answer:

Step-by-step explanation:

the first 400 digits of pi

3.1415926535897932384626433832795028841971

6939937510582097494459230781640628620899

8628034825342117067982148086513282306647

0938446095505822317253594081284811174502

8410270193852110555964462294895493038196

4428810975665933446128475648233786783165

2712019091456485669234603486104543266482

1339360726024914127372458700660631558817

4881520920962829254091715364367892590360

0113305305488204665213841469519415116094