A rectangular prism and its dimensions are shown in the diagram.

What is the total surface area of this rectangular prism in square inches?​

Answer:-111

and -99

Step-by-step explanation:

Answer:

-111 and -99 ( in order)

Step-by-step explanation:

Have a great day!

Given:

The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Let point P divides the segment AB in m:n. Then by using the section formula, we get

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]

[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]

Multiply both sides by 4.

[tex]3(m+n)=2(4m+n)[/tex]

[tex]3m+3n=8m+2n[/tex]

[tex]3n-2n=8m-3m[/tex]

[tex]n=5m[/tex]

It can be written as

[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]

[tex]1:5=m:n[/tex]

Therefore, the point P divides the line segment AB in 1:5.

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

Answer:

42-a²+ab

42-6²+6×5

42-36+30

6+30

36.

Answer:

B) 10-6x is the answer ...

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

Answer:

4. Given

6. Definition of verticle angles

7. Algebra/part-whole-postulate/sum of interior angles in a triangle/CPTCTC (Corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

number 4 is just...given because it shows that they're both right angles

6, it's literally the definition of verticle angles

7, since we know that angle TQU and angle RSU are congruent and angle QUT and SUR are congruent, if we subtract those from 180, that means those two angles also have to be congruent

Also, the two triangles are congruent by LA or ASA, so CPCTC would also work

Part-whole-postulate, same reasoning as algebra.

Sum of interior angles in a triangle, same as algebra.

Hope this helped, let me know if you have any questions.

Answer:

27 1/4

Step-by-step explanation:

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

Answer:

15, A

Step-by-step explanation:

(0,6) (9,-6)

distance formula =

[tex]d= \sqrt{(x_2-x_1)²+(y_2-y_1)² }[/tex]

lets put our numbers

[tex]d= \sqrt{(0 - 9)²+(6+ 6)² }[/tex]

so answer will be = 15, A

Answer:

1. Down.

2. Clare's line would be higher because she begun further away from her house.

3. The lines would have the same slope since they are going the same speed.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

5d/9=10

5d=10*9

5d=90

d=90/5

d=18

Answer:

root(x+6) +3

Step-by-step explanation:

so you see that it is moved 2 left and 5 up

so root (x+6) +3

Answer:

[tex]y = \frac{1}{3} x[/tex]

Step-by-step explanation:

Una recta que es perpendicular a la pendiente de una ecuación es la recíproco negativo. de l

a ecuación original.

Primero, este problema está en forma estándar, así que conviértalo a la forma de intersección de pendiente

[tex]3x + y - 9 = 0[/tex]

[tex]3x + y = 9[/tex]

[tex]y = 9 - 3x[/tex]

[tex]y = - 3x + 9[/tex]

Ahora encuentre el recíproco negativo de la pendiente que es -3x

[tex] \frac{ - 3}{1} [/tex]

[tex] - ( - \frac{3}{1} [/tex]

[tex] \frac{1}{3} [/tex]

La pendiente es 1/3, así que sepa que introduzca 0 para nuestro valor X para encontrar nuestro valor y

[tex]y = \frac{1}{3} x[/tex]

[tex]y = \frac{1}{3} (0)[/tex]

y=0

0,0

Answer:

x=16

Step-by-step explanation:

so you know that the other side of the right traingle is 15

so x2+18x+81=225+144+x2

18x=288

x=16

Answer:

shed height = 12 feet

shed width = 28 feet

Step-by-step explanation:

3/4"=3'   then 1"=4'

3" tall=4x3"=12'

7" wide=4x7"= 28'

Answer:

5000x3.00= total sales  15000 x 16% or.16

= 2400

Step-by-step explanation:

1.Find Gross Sales

2. Get retail sales  3.00 x 5000

3. Total Sales times commission  15000 x .16

Answer:

your answer is 4.50. the total of cartons eggs is 3.16+ the total of turkey 27.96+ the jar 4.38= 35.50 now we can do the math 40-35.50= 4.50. I hope it helps!

Step-by-step explanation:

it is

4.50

why os ot because 9 did the math

Answer:

i'm sure its 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

El derecho a la educación es un derecho humano que tiene como finalidad establecer una educación primaria para todos los niños y niñas, desarrollar una educación secundaria accesible progresivamente a todos los niños y niñas y el acceso a la educación superior en función de los méritos.

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation: