Choose the formula for the volume of a rectangular prism V = lwh written in terms of h.

A. h = Vlw
B. h = lVw
C. h = lwV
D. h = Vwl
Part B
Find the height h of a rectangular prism with volume V = 96 cm3, l = 8 cm and w = 2 cm.

height =
cm

Answer:

The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].

Step-by-step explanation:

This is the general standard equation for the circle centered at (h, k) with radius r.

                                           [tex](x-h)^2+(y-k)^2=r^2[/tex]

From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.

To find the standard equation of the circle you must:

Step 1: Find circle radius.

To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:

[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]

[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]

Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.

[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]

Answer:

option 4

Step-by-step explanation:

LA = πrl

Here, l ----> slant height

l= 21 ft

r = 12 ft

LA = 3.14*12*21  =  791.7 square ft

SA = πr(l + r)

= 3.14*12 *(12+21)

=3.14* 12 * 33

= 1244.1 square ft

Answer:

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

[tex]7x+4y= 12 + 4x+7y[/tex]

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Answer:

False

Step-by-step explanation:

For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5

but when you add 3 and 4 they do not give you 5

so that is false

Answer:

y = .9

Step-by-step explanation:

0.7(1.5+ y) = 3.5y - 1.47

Distribute

1.05 +.7y = 3.5y -1.47

Subtract .7y from each side

1.05 +.7y.-.7y = 3.5y-.7y -1.47

1.05 =2.8y -1.47

Add 1.47 to each side

1.05+1.47 = 2.8y

2.52 = 2.8y

Divide by 2.8

2.52/2.8 = y

.9 = y

Answer:

y = 0.9

C, the third one

Step-by-step explanation:

Examine this multistep equation with variables on both sides.

0.7(1.5 + y) = 3.5y - 1.47

Which of the following is the solution to this equation?

y = 0.09

y = 0.17

y = 0.9

y = 1.7

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

Answer:

LKH and JKM

Step-by-step explanation:

Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)

Answer: it is angle LKH and angle JKM

Step-by-step explanation:

Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!

Answer:

Since sine is equal to opposite over hypotenuse, you would create the fraction 8/10. 8 and 10 are both divisible by 2, so that fraction would reduce to 4/5, which is the answer.

Step-by-step explanation:

hey can yall make me brainlyiest

Answer:

4/5 sine

Step-by-step explanation:

Answer: multiply the mass value by 1000

Real Answer: 1800

Answer:

1800

Step-by-step explanation:

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x² + 40 = 31x

6x² - 31x + 40 = 0

6x² - 16x - 15x + (-5)*(-8) = 0

2x(3x - 8) - 5(3x -8) = 0

(3x - 8) (2x - 5) = 0

Answer:

57 miles

Step-by-step explanation:

Answer:

57 miles

Step-by-step explanation:

divide 199.5/3.5 and you will get 57 miles

Answer: Center (0, -8) and Radius = 2

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.

Answer:

x = 0   or  x = -4

Step-by-step explanation:

Solve: 6x² +24x = 0

First you can factor this binomial.

6x² +24x = 6x (x + 4) = 0

so  x = 0  or  x + 4 = 0

x = 0   or  x = -4

Answer:

10.912

Step-by-step explanation:

0.22*49.6=10.912

Answer:

the answer is 225.45

Step-by-step explanation:

49.6 ÷ 22% =

49.6 ÷ (22 ÷ 100) =

(100 × 49.6) ÷ 22 =

4,960 ÷ 22 ≈

225.454545454545 ≈

225.45

The first statement is correct

To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11

Answer:

The first answer. The distance is 11.

Answer:

1 gallon and 1 quarter

Step-by-step explanation:

Step-by-step explanation:

(5x+2y=6)2

10x+4y=12

10x+4y=12 then substract

10x+4y=12

0=0 true so, it have infinite s/n

Answer:

48.048

Step-by-step explanation:

multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you

i think it is C

Step-by-step explanation:

Answer:

1 or D

Step-by-step explanation:

Answer:

Step-by-step explanation:

389

Answer. 3/89

Step-by-step explanation:

HEY FREN

Answer:

m∠DEH= 128.6°

Step-by-step explanation:

∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.

This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.

Answer:

128.6

Step-by-step explanation:

GHJ= DEH

adjasent angle

Answer:the length of MN is6 units

Step-by-step explanation:

It is correct

Answer:

4x+6

Step-by-step explanation:

(x+4)+(3x+2)

=x+4+3x+2

=4x+6

Answer:

4 is the length of a side.

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

4 units

Step-by-step explanation:

The area of a square is denoted by: A = s², where s is the side length.

Here, we know that the area is 16, so plug this in for A:

A = s²

16 = s²

s = √16 = 4

Thus, the side length is 4 units.

~ an aesthetics lover

Answer:

Step-by-step explanation:

x three point shots: 8*3=24

x two point shots: 2*2=4

The point would Anthony score is : 24+4=28

I hope it'll help you much

Thank you for asking

The height and width of the box shipped is 15 and 8 inches respectively.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The width of the box is seven inches less than the height.

Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.

We know the volume(V) of a cuboid is l×w×h.

Therefore,

24×w×(w + 7) = 2880.

24w(w + 7) = 2880.

24w² + 168w = 2880.

6w² + 42w = 720.

w² + 7w = 120.

w² + 7w - 120 = 0.

w² + 15w - 8w - 120 = 0.

w(w + 15) - 8(w + 15) = 0.

(w + 15)(w - 8) = 0.

w = 8 and hence h = 8 = 7 = 15.

So, the width and height of the box is 8 and 15 inches respectively.

learn more about cuboids here :

https://brainly.com/question/29568631

#SPJ5

Option B. is correct

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

Learn more about polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:

option B

Step-by-step explanation:

edge 2023

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

Answer: [tex]150ft^2[/tex]

Step-by-step explanation:

length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]

width: [tex]5 in[/tex]

[tex]Formula: A=w*l[/tex]

[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]

Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.

[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]

[tex]\frac{1}{4}in^2 : 1ft^2[/tex]

Convert.

[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]

Invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]

Answer:

20.5 feet

Step-by-step explanation: