Find the surface area of the triangular prism

Find The Surface Area Of The Triangular Prism

Answers

Answer 1
Front: 12 square centimeters
1/2 x 6 x 4 = 12

Back: 12 square centimeters
1/2 x 6 x 4 = 12

Right: 15 square centimeters
3 x 5 = 15

Left: 15 square centimeters
3 x 5 = 15

TOTAL: 54 square centimeters

The surface area is the added areas of each face of a 3D figure.
Formulas I’ve used:
Area of a parallelogram:
A = bh

Area of a triangle:
A = 1/2bh

Related Questions

choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2

Answers

Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
-4 = 1/2(1) + b
b = 9/2
Therefore, the equation of the line is:
y = 1/2x + 9/2

1+-2/3--m where m=9/2

Answers

Answer:

-25/9

Step-by-step explanation:

1 + (-2/3) - m

Plug in:

1 + (-2/3) - 9/2

1 + 2/3 - 9/2

1/3 - 9/2

-25/9

Hope this helped.

Answer:

4 5/6

Step-by-step explanation:

1+-2/3--m

Subtracting a negative is like adding

1-2/3 +m

1/3+m

m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 +9/2*3/3

2/6 + 27/6

29/6

Changing to a mixed number

4 5/6

someone answer fast with a model: Kevin spends $11.25 on lunch every week during the school year.If there are 35.5 weeks during the school year how much dies Kevin spend on lunch over the entire school year? Remember to round to the nearest penny

Answers

Answer:

$399.45

Step-by-step explanation:

all you gotta do is

11.25×35.5

Got u bro

First, you multiply. You get $399.375. when you round it to the nearest penny, look behind the decimal, see if it's going down to 0, or going higher than 5, then round. the overall answer is going to be..............$399 and 40 cents.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

Its the only answer where the y intercept is 16.

We know its 16 because the line crosses the y axis at 16

A pattern for a skirt calls for 1 7/8 yd of fabric. If Mary
Kate wants to make one skirt for herself and one for her
twin, how much fabric will she need?

Answers

Answer:

Mary Kate will need 3 6/8 yd of fabric.

Step-by-step explanation:

If Mary wants to make one skirt for herself AND her twin, that is equal to 2 skirts.

So if one skirt calls for 1 7/8 yd of fabric, multiply it by 2:

1 7/8 x 2

Convert 1 7/8 to an improper fraction and add 1 as a denominator for 2:

15/8 x 2/1 = 30/8

30/8 simplified is 3 6/8

Brainliest please?

Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.

Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???

Answers

Answer:

55 ways

Step-by-step explanation:

Out of 12 consecutive integers:

3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3

Sum of 3 integers will be divisible by 4 if the remainders are:

0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9  combinations 1 - 1 - 2  ⇒ 2*3 = 6  combinations 1 - 2 - 1  ⇒ 2*3 = 6  combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinations

So total number of combinations is:

1 + 9*4 + 6*3 = 55

Can someone helpp pls

Answers

Answer:

Step-by-step explanation:

You have to solve this as a system. We have 3 coordinates given; the first 2 are given as zeros of the quadratic, the 3rd one is given as a regular coordinate. The zeros of a quadratic are where the y values of a coordinate are 0's because the x-intercepts of a quadratic (aka zeros) exist where y = 0. We use each of those points in the standard form of a quadratic to solve for a, b, and c. First, (0, 0):

[tex]0 = a(0)^2+b(0)+c[/tex] which gives us that c = 0. We'll use that value of c as we move forward with the problem. Next we'll use (3, 0):

[tex]0=a(3)^2+b(3)+0\\0 =9a+3b[/tex]Hold that thought for a minute or 2. Next we'll use the coordinate (1, 6):

[tex]6=a(1)^2+b(1)+0\\\\6=a+b[/tex] Now we have a system that we can solve using either substitution or elimination for a and b. I used elimination:

6  =  a  +  b

0  = 9a + 3b  and multiply the top equation by -3:

-18  =  -3a  -  3b

 0  =   9a  +  3b

so

-18 = 6a and

a = -3. Now back solve for b:

6 = -3 + b so

b = 9 and our quadratic is

[tex]y=-3x^2+9x+0[/tex] or just

[tex]y=-3x^2+9x[/tex]

Solve for p.

19p–2p+16p+12=

18
p=

Answers

Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6

Lydia Gomez has $185 deducted from her semimonthly pay for her group health insurance. Her employer
pays 65% of the cost. What is the annual premium amount for Lydia's group health insurance?

Answers

65% = 35 %
? = 135

Cross multiply

8775 divided by 35 = 250.72 ( this is what her employer pays )

She pays $135 . If we add $250.72 + $ 135 = $385.72
. That means every 2 months =$385.72

But they asked for annual

So,

385.72 x 6 = $ 2,314.32 for her premium group health insurance

Answer:

$12,685.71

Step-by-step explanation:

35% is what she pays

Semimonthly is 24 because monthly is 12

0.35a

---------       = 185

24

Multiply both sides by 24

0.35a=4,440

divide by 0.35

a=$12,685.71

Find the smallest natural number that has a remainder 3 when divided by 5, a remainder 5 when divided by 7, and a remainder 8 when divided by 10.

Answers

Answer:

68

Step-by-step explanation:

"a remainder 3 when divided by 5": The number must be 3 more than a multiple of 5.

"a remainder 5 when divided by 7": The number must be 5 more than a multiple of 7.

"a remainder 8 when divided by 10": The number must be 8 more than a multiple of 10.

List some number that are 8 more than a multiple of 10:

18, 28, 38, 48, 58, 68, 78, 88, 98

List some number that are 5 more than a multiple of 7:

12, 19, 26, 33, 40, 47, 54, 61, 68, 75

We see 68 as a the lowest common multiple.

68/5 = 13 remainder 3

Answer: 68

Solve for a. HELPPppppppppppppppp

Answers

Answer:

a = -24

Step-by-step explanation:

[tex]30=26-\frac{a}{6}\\(6)4=-\frac{a}{6}(6)\\24=-a\\-24=a[/tex]

Answer:

-24 = a

Step-by-step explanation:

30 - 26 - a/6

Subtract 26 from each side

30 -26 = 26 - a/6 - 26

4 = -a/6

Multiply by -6 on each side

-6 *4 = -a/6 *-6

-24 = a

please answer this!!​

Answers

Answer:

You can not solve it because Side P does not exist

Step-by-step explanation:

raise s to the 7th power, then find the sum of the result and 3

Answers

Answer:

s^7 + 3

Step-by-step explanation:

Brainliest, please!

Y+y+y+y rewrite in multiplication

Answers

Answer:

4y

Step-by-step explanation:

y+y+y+y

= (1+1+1+1) y

= 4y

Answer:

4y

Step-by-step explanation:

Y+y+y+y

Combine like terms

4y

Please help I was asigned this for how and I am stuck

Answers

Answer:

-0.555

Step-by-step explanation:

-2/3÷12

=-2/3÷12×3/1×3

=-2/3÷36/3

=-2/3×3/36

=-2/36

=-0.0555

I got this answer but don't know how did you got -8?!

fine the area ABC triangle​

Answers

Answer:

48 cm²

Step-by-step explanation:

A(Triangle) = 1/2bh

b = baseh = height

A(Triangle) = 1/2(12)(8) = 48 cm²

Answer:

area of triangle = 1/2 * b* h

=1/2 ×12 ×8

=48 cm^2

13. A map has a scale of 2 cm to 3 km.
(iii) If the actual area of a lake is 81 km?, calculate
its area on the map.

Answers

Scale = 1cm:3km

Therefore area of lake = 81Km

1:3 = x:81

= 27:81

Therefore the area on map is 27cm

Must click thanks and mark brainliest

Answer:

121.5 is answer.

Step-by-step explanation:

81 / 2 = 40.540.5 *3 = 121.5

factorize. xy^2-y(x-z) -z​

Answers

Answer:

The equation x The equation x 2The equation x 2 +xy+xz+yz can be factorised as follows:The equation x 2 +xy+xz+yz can be factorised as follows:x The equation x 2 +xy+xz+yz can be factorised as follows:x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2 +xy+xz+yz=(x+z)(x+y)

Answer:

= (y-1) (xy-z)

Step-by-step explanation:

First we expand them -

= xy^2 - xy - yz - z

= xy(y-1)-z(y-1)

= (y-1) (xy-z)

Hope this helped

Diana and Dulce were selling tickets for their upcoming
softball game. Dulce sold 20% more than Diana. If they
sold 55 tickets total, how many tickets did each of them
sell?

Answers

Answer:

Diana sold 25 tickets and Dulce sold 30 tickets

Step-by-step explanation:

Let us assume that Diana sold x number of tickets, dulce sold 20% more x or 1.2x. ATQ, x+1.2x=55. x=25. So Diana sold 25 tickets and Dulce sold 30 tickets

Value of the boat after 3 years?

Answers

after each year it's 83% of it's value from last year (100%-17%=83%)

the function in 19000 * (0.83) ^x

3 will be filled in for x

19000 * (0.83) ^3= 10863.953

$10863.95

Answer:

$10,863.95

Step-by-step explanation:

y = 19,000[tex](.83)^{t}[/tex]

y = 19,000[tex](.83)^{3}[/tex]

y =$10,863.95

A tree's height increase by 15%. If a tree is 23 feet high, how tall will it be in one year ?

Answers

Increased height:-

[tex]\\ \sf\longmapsto 23\times 15\%[/tex]

[tex]\\ \sf\longmapsto 23\times \dfrac{15}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{345}{100}[/tex]

[tex]\\ \sf\longmapsto 3.45[/tex]

Now current height:-

[tex]\\ \sf\longmapsto 23+3.45=26.45ft[/tex]

May somebody help with this and show how you solved these 4 problems??

Answers

Answer:

x=27

y=25

c=12

n=70

Step-by-step explanation:

a- x-10=17

isolate the x by adding 10 to both sides

x=27

b- y+7=32

isolate the y by subtracting 7 from both sides

y=25

c- 4c=48

isolate c by dividing both sides by 4

c=12

d- n/5=14

isolate the n by multiplying both sides by 5

n=70

Answer:

a) [tex]x-10=17[/tex]

Add 10 to both sides:-

[tex]x-10+10=17+10[/tex][tex]x=27[/tex]

----------

b) [tex]y+7=32[/tex]

Subtract 7 from both sides

[tex]y+7-7=32-7[/tex][tex]y=25[/tex]

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

c) [tex]4c=48[/tex]

Divide both sides by 4

[tex]\frac{4c}{4}=\frac{48}{4}[/tex][tex]c=12[/tex]

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

d) [tex]\frac{n}{5}=14[/tex]

Multiply both sides by 5

[tex]\frac{5n}{5}=14\cdot \:5[/tex][tex]n=70[/tex]

OAmalOHopeO

the quotient of a number and -9 is increased by 10 the result is 11 what is the number? ​

Answers

Answer:

so the division of a number and -9 or

x/-9+10=11 or

(x/-9)+10=11

subtract 10 from both sides

x/-9=1

multiply both sides by -9

x=-9

inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Answers

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13

Answers

Answer:

The answer is D

Step-by-step explanation:

use the quadratic formula, plug and chug, and voila!

Choose the model that correctly illustrates the division problem 2 3 ÷ 3 4 3 2 ​ ÷ 4 3 ​ .

Answers

23÷34÷32÷43

= 0.0001558519

Must click thanks and mark brainliest

Write each decimal as a fraction or mixed number in simplest form -0.4

Answers

Answer:

-2/5

Step-by-step explanation:

What is an equation of the line that passes through the points (-6, -8) and (-3,-3)?​

Answers

Answer:

y = 5/3x+2

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 - -8)/( -3 - -6)

    = ( -3+8) / (-3+6)

    = 5/3

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

Substituting the point (-3,-3)

-3 = 5/3(-3) + b

-3 = -5+b

-3+5 = b

2 = b

y = 5/3x+2

Given points

(-6,-8)(-3,-3)

First find the slope

[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]

Now

[tex]\boxed{\sf y=mx+b}[/tex]

[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto b=2[/tex]

Hence the equation will be

[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]

the perimeter of a city rectangular park is 1428 feet. the length is 78 feet more than twice the width. Find the length and width of the park

Answers

Length = 502 ft
Width = 212 ft
Step-by-step explanation:
Recall the formula for the perimeter of a rectangle of length "L" and width "W":
Perimeter = 2 L + 2 W = 1428 ft
Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:
L = 2 W +78
so, 2 W = L -7 8
and now replace "2 W" with it equivalent "L - 78" in the first perimeter equation and solve for "L":
2 L + L - 78 = 1428
3 L = 1428 + 78
3 L = 1506
L = 1506/3
L = 502 ft
Then the width W can be obtained via:
2 W = L - 78
2 w = 502 -78
2 W = 424
w = 212 ft

HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!

Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).

Thank you!!

Answers

Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Other Questions
What is meant by the term Hormone? An imaginary star is four light years from earth. The star has a planet, upon which a large mirror has been installed. The mirror faces earth. A ten year old boy aims his telescope at the mirror. How old will the boy be when he sees his own reflection? Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY To ensure that a borrower is not using short-term bank credit to finance a part of its permanent needs for funds, banks often require borrowers to clean up their short-term loans for a 30-45 day period during the year.a. Trueb. False Identify the true statements about materials requirements planning. (Check all that apply.) Multiple select question. It is considered a push system. It is used widely, especially in manufacturing. It is similar to kanban scheduling. It uses a time-phased schedule that is based on lead time. It solely considers the number of actual orders for the planning of material requirements. Essay on importance of English language. Please make it about 25 lines. What is one interesting or surprising detail that adds to your understanding of D-Day? FILL IN THE BLANK WITH THE CORRECT FORM OF TENER.Mi abuela____ ochenta aos.Mi primo y sus amigos no____ un perro.Tu familia _____una casa muy grande. Mis hermanos y yo____que estudiar. Yo no____ hermanos.La profesora____calor. Los estudiantes____ hambre.Mi familia y yo___ muchas fotos. Yo_____ un dormitorio grande. Which of the following describes the life and ministry of Daniel?the chief of three princeshis ministry began five years after he had been a captivewas a made a ruler of Babylonwrote as an officer of Babylonhe died in Egypthis book was a prophetic diary 32X =degrees.please what is economic importance of honey bee Which properties of protists make it difficult to group them in any other group? Cellular Respiration is the process of what?A. The release of energy from food.O B. Producing oxygen at the cellular level.C. Breathing.D. The creation of food, powered by the energy of the sun.Reset Selectionhen In South America, huge areas of tropical forests are being cleared. The wood is sold and crops such as coffee are planted instead. a) Give two reasons why this damages the global environment.b) Suggest two ways of limiting the damage to the forests. please answer all of them I'll give brainly if answer for points will be reported Someone plz round 6.675 to the nearest hundredth Which is the graph of y = [x]-2?PLEASE HELP TIMED PLEASE I will give a brainliest and 20pts to the person that can use the Pythagorean theorem to solve for x. Please help. I went over it several times and the answer I got doesn't match up with what the box says You areworking with a combustible material. Which piece of safetyequipment is most important to have on hand? all of akilahs songs follow an AABA form. what is likely true about her songs?