Find the surface area of the rectangular prism

Answer:

y=-¼x+⁴⁴/8

Step-by-step explanation:

p(2,-6). Q(-6-4)

p (x¹,y¹). Q(x²,y²)

1) find the gradient(slope)

gradient=y²-y¹

x²-x¹

gradient = -4-(-6)

-6-2

gradient= -4+6

-6-2

gradient=²/-8

2)equation is supposed to be in the form of y=mx+c

where m is the gradient

thus.

gradient=y²-y¹

x²-x¹

when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.

2 = y-(-4)

-8 x-(-6)

2 =y+4

-8. x+6

remove the denominators by cross multiplying that is:

2(x+6)= -8(y+4)

2x+12= -8y-32

express in the format y=mx+c

2x+12+32=-8y

2x+44=-8y.

divide all sides by -8 to remain with y

²/-8x+⁴⁴/-8=y

-¼x+ -⁴⁴/8=y

y=-¼x-⁴⁴/8

Answer:

Step-by-step explanation:

measure of a = 9 degree

angle POM = 48 degree = angle NMO [ AIA}

HOPE IT HELPS

Answer:

Below

Step-by-step explanation:

We are given that <PMO= (3a+15)° and NMO= (6a-6)°

Notice that the sum of <PMO and <NMO gives a right angle.

● <PMO+<NMO = 90°

● 3a+15+6a-6 = 90

● 9a + 9 = 90

Substruct 9 from both sides

● 9a +9 -9 = 90 -9

● 9a = 81

Divide both sides by 9

● 9a/9 =81/9

● a = 9

So the value of a is 9°

■■■■■■■■■■■■■■■■■■■■■■■■■■

MN and PO are parallel since MNOP is a rectangle.

MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.

● <NMO = <POM

● <POM = 6a-6

The value of a is 9°

● <POM = 6*9-6 = 48°

So <POM = 48°

Answer:

P = 1,-10

Q=1,-1

R=7,-1

S=7,-10

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

domain: (−∞,∞)

range: [−9,∞)

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

Explanation:

The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞)  when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.

The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that [tex]y \ge -9[/tex] so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.

Answer: It is A, I did this question many times before.

(−∞,∞)

Step-by-step explanation:

Answer:

height = 21.5 ft

Step-by-step explanation:

Substitute t = 1.5 into h(t) and evaluate

h(1.5) = - 16(1.5)² + 35(1.5) + 5

        = - 16(2.25) + 52.5 + 5

       = - 36 + 57.5

      = 21.5 ft

Answer:

21.5 feet.

Step-by-step explanation:

Let t = 1.5

[tex]h(1.5)=-16(1.5)^2+35(1.5)+5\\h(1.5)=-36+52.5+5\\h(1.5)=21.5[/tex]

Therefore, at 1.5 seconds, the basketball is 21.5 feet in the air.

Answer:

3x^3 ⋅ √2x

Step-by-step explanation:

Answer:

16/3 or 5 1/3

Step-by-step explanation:

7 + x - 15 = -2 2/3

x - 8 = -2 2/3

x = 16/3

Answer:

Let's solve your equation step-by-step.7+x−15=223

Step 1: Simplify both sides of the equation.

x−8=8/3

Step 2: Add 8 to both sides

.x−8+8=8/3+8x=32/3

Answer:x=10 2/3

i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!

Step-by-step explanation:

figure for the triangle with ab

Answer:

(16x + 8)m²

Step-by-step explanation:

area of a rectangle = 2length + 2width

=2(3x + 5) + 2(5x-1)

=6x + 10 + 10x - 2

=(16x + 8)m²

Answer:

2nd 3rd last one

Step-by-step explanation:

Angles, lines, rays, and segments can be found in a plane. The terms shown on the diagram are: Ray KM, Line JK, and Ray MJ

A line is an unending, straight path that has no endpoints and travels in both directions along a plane. A line segment is a finitely long portion of a line with two endpoints. A line segment that goes on forever in one direction is known as a ray.

To identify the terms shown on the diagram, we need to note the following: A ray has no endpoint; it is represented with an arrow on one side line segment has two endpoints.

It is represented with dots on both sides. An angle is a space between intersecting lines, line segments, or rays. There is no connection between J and L. So, JL is not a line segment

Ray KM

KM has a dot at point K and an arrow that points in the direction of M. So, KM is a ray.

Line JK

JK has dots on both ends (at J and K). So, JK is a line.

Ray PK

PK has dots on both sides (at P and K). So, PK is a line; not a ray.

Angle LJK

There is no connection between points L, J, and K. Hence, LJK is not an angle.

Ray MJ

MJ has a dot at point M and an arrow that points in the direction of J. So, MJ is a ray.

The diagram is attached with the answer below.

Read more about lines, points, and rays at:

brainly.com/question/13486760

#SPJ5

Answer:

$228.80 paid for rent.

Steps:

Divide the percentage by 100.

26/100=0.26

Multiply this amount by the principal amount, 880.

880*0.26=228.8 is 26% of 880

Answer:

26% of 880

= (26 x 880 )  /  100

= 228.80 ($)

Step-by-step explanation:

Have attached some composite functions completed to show you the whole unit. Hope it helps. The 2nd and third one are part of the same answer.

The forth one attached may help you most.

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \sf{ \frac{3}{5} = \frac{x - 1}{8} }[/tex]

Apply cross product property

⇒[tex] \sf{ 5(x - 1) = 3 \times 8}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{5x - 5 = 3 \times 8}[/tex]

Multiply the numbers

⇒[tex] \sf{5x - 5 = 24}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{5x = 24 + 5}[/tex]

Add the numbers

⇒[tex] \sf{5x = 29}[/tex]

Divide both sides of the equation by 5

⇒[tex] \sf{ \frac{5x}{5} = \frac{29}{5} }[/tex]

⇒[tex] \sf{x = \frac{29}{5} }[/tex]

Hope I helped!

Best regards!!

Answer:

$16

Step-by-step explanation:

$24 - $8 = $16

Answer:

$ 16

Step-by-step explanation:

$ 24 - $ 8 = $ 16

Answer:

5 < x < 21

Step-by-step explanation:

I did this bfore.

Answer: The solution of these inequalities are similar because they begin at two, however they are different because in the first inequality two cannot be an answer hence the open circle ⭕️, but the second inequality can have two as a solution hence the closed circle.

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

71 = z+37

Subtract 37 from each side

71 -37 =z

34 =z

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

.............................

Answer:

C

Step-by-step explanation:

The answer is C cz it contains the letter a

Step-by-step explanation:

A is directly proportional to B is written as

where k is the constant of proportionality

First we must find the relationship between the two variables

when

A = 5/3

B = 5/6

Substitute the values into the formula to find k

[tex] \frac{5}{3} = k \frac{5}{6} [/tex]

Multiply through by the LCM which is 6

That's

[tex]5 \times 2 = 5k[/tex]

5k = 10

Divide both sides by 5

k = 2

So the formula for the variation is

when B = 1/3

[tex]A = 2 \times \frac{1}{3} [/tex]

When A = 15/2

[tex] \frac{15}{2} = 2B[/tex]

Multiply through by 2

[tex]4B = 15[/tex]

Divide both sides by 4

Hope this helps you

Answer: x=5, y=-1

Hope this helps

Answer:

3600

Step-by-step explanation:

First, solve the innermost brackets first.

=> 55/11 [120 /2{4 + (10 + 5 - 7)}]

=> 55/11 [120 /2{4 + (8)}]

=> 55/11 [120 /2{4+8}]

=> 55/11 [120 /2{12}]

=> 55/11[ 60 x 12]

=> 55/11 [720]

=> 5 [720]

=> 3600

Answer:

they can pick 27 berry's

Step-by-step explanation:

I think-

They can pick 1.29 liters of berries in 1 minute working together.

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

The together rate is the sum of each separate rate. In this question:

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

Together, they can pick x liters, and the rate is: [tex]\frac{1}{x}[/tex]

Then

[tex]\frac{1}{x} = \frac{3}{8} + \frac{4}{10}[/tex]

[tex]\frac{1}{x} = \frac{15 + 16}{40}[/tex]

[tex]\frac{1}{x} = \frac{31}{40}[/tex]

Applying cross multiplication:

[tex]31x = 40[/tex]

[tex]x = \frac{40}{31}[/tex]

[tex]x = 1.29[/tex]

They can pick 1.29 liters of berries in 1 minute working together.

A similar question is given at https://brainly.com/question/23323624

Answer:

140°

Step-by-step explanation:

[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\

\therefore m\widehat{BG} = 360\degree - 300\degree \\

\therefore m\widehat{BG} = 60\degree \\

\because m\widehat{BGD} = m\widehat{BG}

+m\widehat{GD}\\

\therefore m\widehat{BGD} = 80\degree+60\degree\\

\therefore m\widehat{BGD} = 140\degree\\

\because m\angle BAD = m\widehat{BGD} \\

\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]

Answer:

12y

Step-by-step explanation:

product means multiplycation so twelve times y is  12y

Answer:

cwbmwl2h2h2jl2bcek2k3cgwkel

Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

it can't be factorizes with rational numbers

Answer:

Prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

Answer:

No.

Step-by-step explanation:

No, Bob is not correct.

The formula he's using is the following:

[tex]A=\frac{1}{2} ab\sin(C)[/tex]

The important thing here is that the angle is between the two sides.

In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.

Either Bob needs to find the other side first or find the angle between 8 and 18.

Step-by-step explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10

Answer:

Step-by-step explanation:

[tex] \mathrm{ - 22 = - 8u + 6(u - 7)}[/tex]

Distribute 6 through the parentheses

⇒[tex] \mathsf{ - 22 = -8u + 6u - 42}[/tex]

Collect like terms

⇒[tex] \mathrm{ - 22 = - 2u - 42}[/tex]

Swap the sides of the equation

⇒[tex] \mathrm{ -2u - 42 = - 22}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathrm{ - 2u = - 22 + 42}[/tex]

Calculate

⇒[tex] \mathrm{ - 2u = 20}[/tex]

Divide both sides of the equation by -2

⇒[tex] \mathrm{ \frac{ - 2u}{ - 2} = \frac{20}{ - 2} }[/tex]

Calculate

⇒[tex] \mathrm{u = - 10}[/tex]

Hope I helped!

Best regards!

Answer:

12.25

Step-by-step explanation:

73.50 divided by 6 for each shirt is 12.25 a shirt