What is the surface area of the triangular prism?


A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2

Answer:

y = 2x - 22

Step-by-step explanation:

y = 2x + 1

Parallel slope: 2

(7, -8)

y - y1 = m(x - x1)

y + 8 = 2(x - 7)

y + 8 = 2x - 14

y = 2x - 22

Answer:

Solution given:

equation of line 1 is:

y=2x+1

2x-y+1=0.......[1]

slope of line 1 is

m1=[tex] \frac{ -coefficient \:of\: x }{coefficient\: of \:y} [/tex]

[tex] \frac{ - 2}{ - 1} = 2[/tex]

Since the lines are parallel than slope of another line m2=m1=2

It passes through (x1,y1)=(7,-8)

equation of a line is:

is a required equation of a line in slope intercept form.

Answer:

x²-8x+9

Step-by-step explanation:

Answer:

The answer is Prime

Step-by-step explanation:

Attached photo for proof

Answer:

hi

Step-by-step explanation:

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

Answer:

Im sorry never did this before

Answer:

the answer should be 9, im not sure tho I vaguely remember this

Answer:

32 inches^3

Step-by-step explanation:

Volume = 1/2 ( base x height x length)

0.5 ( 4 x 2 x 8) = 32 inches^3

Answer:

64

Step-by-step explanation:

thats all my answer...

Answer:

16 ounces in a pound

14 x 16= 224 ounces

Answer:

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

Answer:

....

Step-by-step explanation:

Answer: 1, 2, 3, 4.

Step-by-step explanation: When you count to five, the numbers that are listed above, (1, 2, 3, 4) are the right answers

Answer:6

Step-by-step explanation:

Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6

Answer:

The probability of getting 1,2 and 3 after rolling once , second and thrice is

1/6

Step-by-step explanation:

These are all independent events.

The sample space = [1,2,3,4,5,6]

A die has 6 sides

1. If this die is thrown once, the probability of getting a 1 is = 1/6

2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6

3. If we rolled a 3rd time the probability remains 1/6 also

Answer:

d) 100 feet

Step-by-step explanation:

The x value of the vertex (highest point in this case) is found via -b/2a:

-80/-32 = 2.5

Plug 2.5 into the function:

h(2.5) = -16(2.5)² + 80(2.5)

= - 100 + 200 = 100

An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.

Answer:

caca

Step-by-step explanation:

caca

Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$

Step-by-step explanation:

80 / 5 = 16

50 / 3 = 16.666

Answer:

52cm^2

Step-by-step explanation:

I did the splitting in my head and that's pretty hard to explain like this so, just BTW if your confused on where I got my lengths from.

(7*6) + (5*2)

(42) + (10)

52

I separated them into an almost square and a rectangle, then I found the area of each rectangle and then added them together.

Hopefully this was useful and you didn't have any issues with this!

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

6/1.5=4

is the scale factor for the smaller triangle to the bigger triangle

Answer:

6/1.5=4

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

1) Determine the slope (m)

To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug m into [tex]y=mx+b[/tex] .

2) Determine the y-intercept (b)

Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.

I hope this helps!

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

Answer:

Step-by-step explanation:

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

Answer:

Step-by-step explanation:

The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope  is:  y - y₀ = m(x - x₀)  

m = -3

(1, 2)     ⇒    x₀ = 1,    y₀ = 2

y - 2 = -3(x - 1)

Answer:

cosH = JH/KH

Step-by-step explanation:

coa refers to base by hypotenuse

for H,

the base is JH and the hypotenuse is KH.

In the given right angled triangle cos H is equivalent to sin K

A triangle in which one of the interior angles is 90° is called a right triangle

Here,

Cos H =  Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]

In the given option

sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]

Therefore Cos H is equivalent to the sin K

Hence, sin K is equivalent to the cos H

Learn more about right angled triangle here

https://brainly.com/question/3770177

#SPJ2

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°