Consider two congruent square prisms each rectangular face of prism A has a width of 2x+3 and each rectangular face of prism B had a length of 4x+6 if each rectangular face of prism A has and area of 25x+25 what is the volume of prism B (round to the nearest whole number)

Answers

Answer 1

Answer:

Step-by-step explanation:

prism A side area is square of side length

(2x + 3)² = 25x + 25

4x² + 12x + 9 = 25x + 25

4x² - 13x - 16 = 0

x = (13 ±√(13² - 4(4)(-16))) / (2(4))

positive answer is

x = (13 +√425)/8 which is approximately 4.20194...

so side length of B is

4((13 +√425)/8) + 6  which is approximately 22.80776...

Volume is side length cubed

V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...

V = 11,864 units³


Related Questions

Help help help help help help help help help

Answers

Answer:

(-1,1)

Step-by-step explanation:

Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite  of (1,-1) would be (-1,1) ).

Hope this helped!

The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo

Answers

On moving a distance of 20m towards the foot of the cliff the angle of

elevation increases to 60° .

The situation forms 2 right angle triangle.

The height of the cliff is the opposite side of the 2 triangles formed.

Using trigonometric ratio, the bigger triangle  can be represented as

follows:

tan 30 = opposite / adjacent

Let the distance from point Q to the foot of the cliff be d.

Therefore,

tan 30° = 17.3 / d

d = 17.3 / tan 30

d = 17.3 / 0.57735026919

d = 29.9644789709

d ≈ 30 m

Let's find the new angle when he moves 20 m towards the foot of the cliff.

The smaller triangle formed is used to find the new angle.

Therefore,

The new distance  from the foot of the cliff (adjacent side) = 30 - 20  = 10 m

tan x° = 17.3 / 10

tan x° = 1.73

x = tan ⁻¹ 1.73

x = 59.9705982385

x  ≈ 60°

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Find the line integral along the curve C from the origin along the x-axis to the point (6, 0) and then counterclockwise around the circumference of the circle x2 y2

Answers

Parameterize C by the two vector functions,

r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)

with 0 ≤ t ≤ 1, and

s(t) = (6 cos(t), 6 sin(t))

with 0 ≤ t ≤ π/2.

Then the line integral over C is equal to the sum of the line integrals over each path:

[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]

[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]

[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]

[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]

The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A. 5
O B. //
1
C.
091
D. -5

Answers

Answer:

its C. 1/5

Mark me BRAINLIEST

What is the area of the rectangle? 7 feet 3 feet 3 feet 7 feet​

Answers

A= 21 ft^2

Area of a rectangle= Base x Height

Base= 7ft
Height= 3ft

A= 7 x 3= 21 ft^2

Answer:

21ft^2

Step-by-step explanation:

A=LW

A= 3ft x 7ft

A=21ft^2

to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false​

Answers

Answer:

True

Explanation:

3 feet is 1 yard so 13/3 is 4.3 yards approximately

True

[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]

3x = 13

[tex]x = \frac{13}{3} yards[/tex]

Anyone that can answer it right gets 30!

Answers

Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

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

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

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

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

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

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

Y=4x+8 y=-x-7 solve by substitution

Answers

Step-by-step explanation:

Alrighty! here you go image.

Answer:x=15

Step-by-step explanation:

What sentence represents this equation? 912=15−x 912 ​is the same as a number decreased by 15. 15 decreased by 912 is the same as a number. A number is the same as the difference of 15 and 912. 912 is the same as 15 decreased by a number.

Answers

9 1/2 is the same as a number decreased by 15

I guess that's the right answer maybe i'm wrong if I am oh well

can anyone help with this, please

Answers

Answer:

Step-by-step explanation:

As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)

y = C(x + 2)(x - 2) = C(x² - 4)

applying the y intercept of (0, 4)

4 = C(0² - 4)

C = -1

y = -1(x² - 4)

y = 4 - x²

Answer:

hi

Step-by-step explanation:

Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará

Answers

Answer:

i tink its a

Step-by-step explanation:

Chris rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 75 cents for each mile driven. Chris had to pay
$167.24 when he returned the truck. For how many miles did he drive the truck?
M miles

Answers

Answer:

Chris drove the truck 203 miles.

Step-by-step explanation

So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.

Find the slope (show your solution)

y=4x+5


please help me to answer this i really really need it

Answers

Ok so for this we need to use the gradient (slope) formula :
Y = Mx+c
The slop of the line is M
And the y intercept ( where it goes through on y axis) is C
So if we substitute that into ur equaton
Y = Mx +c
Y= 4x + 5
You can see that M ( the slope) is 4
And C ( y intercept) is 5



Point J(-3, -7) was rotated to J'(7, -3). How
many degrees was the rotation?

Answers

Answer:

90 clockwise

Step-by-step explanation:

Answer:

270 degrees

Step-by-step explanation:

If both numbers are negative it means its in the lower left quadrant, so to reach 7 and -3, that means we need to reach the lower right quadrant so a 270 degree turn works

At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?

Full explanation (No links)

Answers

Answer:

28

Step-by-step explanation:

the ratio is written as copies/dollars.

14/4=x/8

since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.

14/4=28/8

Ok so the answer is 28 copies for $8



The reason that’s correct is because $8 is 2 times more than $4. So we would do 14 (which is the amount of copies that are made for $4) x 2 = 28 copies

(1.2•10^9) divided by (3•10^5)

Answers

Answer:

4000

Step-by-step explanation: First multiply the first two equations and will give you 1200000000 divided by 300000. Now logically 12/3is 4  so u do the same in the equation and it gives you 4000. Pls give brainly if i was right

Answer:

4000

Step-by-step explanation:

(1.2•10^9) divided by (3•10^5)

(1.2 * 10^9) : (3 * 10^5) =

(1.2 * 1000000000) : (3 * 100000) =

1200000000 : 300000 =

4000

Jeanine Baker makes floral arrangements. She has 22 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are​ possible?

Since the order of the flowers does not​ matter, this is a combination of 22 things taken 6 at a time.

Answers

Answer:

16

Step-by-step explanation:

(2,-6); m= -1/4
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

y + 6 = -1/4(x - 2)

Step-by-step explanation:

Point slope form:  [tex]y - y_{1} = m(x - x_{1} )[/tex]

[tex]y - y_{1} = m(x - x_{1} )[/tex]    Substitute slope = -1/4 and point (2, -6)

[tex]y - (-6) =\frac{-1}4} (x - 2)\\[/tex]

y + 6 = -1/4(x - 2)

 

Is there anyone that can please help me out with this question as soon as possible?

Answers

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.

can someone please help me with this one question! ​

Answers

Answer:

RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND

you are slicing pie for your family. Your grandmother asks for 1/3 of the pie. Your brother asks for 1/4 of the same pie. Your aunt asks for 1/2 of the remainder of the pie. How much pie is left?

Answers

After give your grandma and your brother, you only have:
1 - 1/3 - 1/4 = 5/12 ( of the pie )
After give your aunt, you have:
5/12 - 1/2 x 5/12 = 5/24 ( of the pie )

Ok done. Thank to me :>

how do you solve this problem lol​

Answers

You just do 852 divided by 4 which is 213

According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?​

Answers

Answer:

Given the temperature of an object at time t as

-kt f(t) = T. + Ce +

where TO is the environment temperature, C is the difference in temperature of environment and object.

Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have

To = 0

C = 100 – 0= 100

After 26 minutes the temperature of water is 50 degree celsius.

f(26) = 0 + 100e -26k = 50

100e 26K = 50

-26 e = 0.5

-26%: In e = ln 0.5

-26% = ln 0.5

In 0.5 k= 26

So the temperature of water after 78 minutes will be,

f(78) = 100e -78 In 0.5 26 = = 12.5 =

The temperature of water after 78 minutes will be approximately 12.5 0 C

Step-by-step explanation:

Please take a look at the picture.

Answers

Answer:

A and B

Step-by-step explanation:

a) -x+0+(-x)=0

Combine like terms.

-2x+0=0

Subtract 0 from both sides.

-2x=0

Divide both sides by -2.

x=0

b) -x-(-x)=0

Remove parentheses.

-x+x=0

Combine like terms.

0=0

Hope this helps :)

If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?

Answers

Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...

But if the roles are reversed the the Seventh graders should earn the 50 points.

There is not a full answer to what I am saying but from speculation you should be able to decide..

Answer:  

Step-by-step explanation:

The new Apple Watch series 7 cost $799. There is an additional 7% sales tax rate . If Oscar has a total of 850.00 to spend, will he be able to purchase the new Apple Watch Series 7? Explain.

Answers

The total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

The given parameters;

cost of new Apple Watch Series 7, = $799sales tax, = 7%Oscars available cash = $850

The total cost of the new Apple Watch Series 7 is calculated as follows;

Total cost = 0.07(799)  +  799

Total cost = $854.93

Thus, we can conclude that the total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

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Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.

Answers

Answer/Step-by-step explanation:

C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

Answer:

C = 35 + 9.5m

Step-by-step explanation:

This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

Octavia is making cotton candy. She uses 17.5 cups of sugar to make 5 bags of cotton candy. At this rate, how many cups of sugar are used to make 1 bag of cotton candy?

Answers

Answer:

3.5 cups of sugar per bag.

Step-by-step explanation:

17.5/5

3.5 cups of sugar are used to make 1 bag of cotton candy

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For 5 bags of candy = 17.5 cups of sugar needed

and, For 1 bags of candy

=17.5/ 5

=3.5 cups of sugar needed

hence, 3.5 cups of sugar are used to make 1 bag of cotton candy

Learn more about unitary method here:

https://brainly.com/question/22056199

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In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts

Answers

as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)

but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15

Need help with this

Answers

Answer:

It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation:

nope

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