Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Find The Total Surface Area Of This Triangular Prism.30 Cm18 Cm7 Cm24 Cm

Answers

Answer 1

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²


Related Questions

The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.

Answers

Answer:

1st , 2nd , and 4th

Step-by-step explanation:

how does the graph of y=Vx+2 compare to the graph of the parent square root function

Answers

Option c since the equation shifts 2 units vertically up compared to parent square root function

On the grid below, which point is located in the quadrant where the x-coordinate is a positive number and the y-coordinate is a negative number?
A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.
A
B
C
D

hurry!!

Answers

Answer:

The answer is A.......

Step-by-step explanation:

Solve the system by substitution. x=-y-9 6x-5y=1

Answers

Answer:

x= -64, y= 55

Step-by-step explanation:

x=-y-9

6(y-9)-5y=1

6y-54-5y=1

y=55

x=-55-9

x=-64

Answer:

{x=-4

{x= -5

Step-by-step explanation:

Substitute into one of the equations:6(- y -9) - 5y=1

Apply Multiplicative Distribution Law:- 6y-54-5y=1

Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54

Combine like terms:- 11y= 1+54

Calculate the sum or difference:-11y=55

Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)

Remove the parentheses:y = -55÷11

Calculate the product or quotient:y=-5

Substitute into one of the equations:x=-(-5)-9

Remove the parentheses:x=5-9

Calculate the sum or difference:x=-4

The solution of the system is:{x=-4

{x=-5.

In ⊙V, QT ≅ RS. If UV = 4 cm, then VW = _______ cm.

Answers

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

(0, 6) and (2, 96) in exponential function

Answers

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

Pls answer this and explain!

Answers

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4



ASP please


What is the slope of the line on the graph

Answers

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])

[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]

[tex]\frac{6}{1}[/tex]

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

I will give brainliest

Answers

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

Make n the subject of the formula
m = 5 n - 21

-----------------------------------------------------------
Can someone please help and explain!!
Incorrect or incomplete answers will be reported

Answers

Answer:

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

Step-by-step explanation:

To make "n" the subject of the formula, rearrange the formula so it begins with " n = "

To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.

=> m = 5n - 21

there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.

=> m + 21 = 5n - 21 + 21

=> m+ 21 = 5n

There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

Find the value of x and 3x.
x=
3x=

Answers

Answer:

Step-by-step explanation:

Sum of all the angles of the polygon = (n -2) *180  

                                                             = (6 - 2) * 180 = 4 *180 = 720

45 + 135 + 45 + 135 + x + 3x = 720

          360 + 4x = 720

                     4x = 720 - 360

                    4x = 360

                       x = 360/4

x = 90

3x = 3*90 = 270

Given: \overline{AE} \parallel \overline{FD},

AE



FD

, \overline{BF} \parallel \overline{EC}

BF



EC

and \overline{AC} \cong \overline{BD}.

AC



BD

.


Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC    Parallel lines cut by a transversal form congruent alternate  

                             interior angle  

Δ AEC ≅ Δ DFB   ASA                

What's the Answer of 5+5=09

Answers

Answer:

5+5=10

Step-by-step explanation:

i dont understand

If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x² ​

Answers

Answer:i)16y^2−4x^2

ii) i don't know the other one sorry

Step-by-step explanation:

Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)

Answers

Answer:

Step-by-step explanation:

We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.

AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)

AB = 3 then  XY = 2* 3 = 6

AB = 2.5 then XY = 2*2.4 = 5

XY = 18 ( the big one)  then AB = 18/2 = 9 ( the small one)

XY = 4 then AB = 2/2 = 2

XY = 9 then AB = 9/2 = 4.5

If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?

Answers

About 92 days are taken for 90 % of the material to decay.

The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.

In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)

If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]

[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]

[tex]\tau \approx 39.963\,d[/tex]

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]

[tex]t\approx 92.018\,d[/tex]

About 92 days are taken for 90 % of the material to decay.

We kindly invite to check this question on half-life: https://brainly.com/question/24710827

Find the quotient. Use a model to help you divide

6
.
15
÷
5
=
A.
1.03

B.
1.23

C.
1.3

D.
1.2

Answers

Answer:

Step-by-step explanation:

6.15/5=1.23

The answer is B.

ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?

Answers

The answer to that is 1/2

A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds

Answers

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

https://brainly.com/question/19979064

hi,please explain your answer
have a nice day​

Answers

Answer:

What grade are you my brother is good at this stuff

Please Help Im Doing A Test And Really Need The Answer!

Please no fake answer for points

Answers

Answer:

The last one (16+20+3+8)

Step-by-step explanation:

add up all the sides not including the 3 inside

Answer:

(16+20+3+8)

Step-by-step explanation:

The perimeter is the measurement on the outside of the shape.

so (3+16+20+8) = 47

I need 30 please thank you

Answers

Answer:

ok good morning

have a nice day

Step-by-step explanation:

#toxicsquad

Answer:

i think its 7, but you should probably check that...

can someone help please :)

Answers

The inequality is less than or equal to

Which statement about perfect cubes is true?

a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3

Answers

☆Answer : a.) false B.) false c.) True d.) false

V = s^3 = 8^3 = 512cm^3 True.

Answer:

every answer:

A

B

B

B

B D E

A

C

C

C

D

Step-by-step explanation:

i got 100% on Edg

find the gcf and the distributive property to each sum.19,22

Answers

Answer:

50 is sum of gcf its couldn't of 19 is 20

How many arrangements can be made from the letters in the word PICCOLO

Answers

Answer:

1260

Step-by-step explanation:

This is a permutation of 7 letters with double O and double C:

7!/2!2! = 5040/4 = 1260
☆Answer :

P = 1

I = 1

C = 2

O = 2

L = 1

--------

Total (n) = 7(k) = 2(C), 2(O)

p = N! ÷ k!

p = 7! ÷ 2!2!

p = 5,040 ÷ 4

P = 1,260

A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?

Answers

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

Which of the following is(are) the solution(s) to |11x +3 = 6 ?

Answers

exact form: x = 3/11

decimal form: x = 0.27

Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?

Answers

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

1 gallon = 4 quarts
4 quarts = 8 pints
8 pints = 16 cups

So 1 gallon = 16 cups of water

A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it

Answers

8. 4m x 8m x 1.5m (150cm is equal to 1.5m) and minus by 40
Other Questions
!!!!!!!!!!!!!!!!!!!!!!!!!!!!5 Nadia is a stockbroker. earns 13% commission each week. Last week, sold $7,500 worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011? please help me with the second image questions it is really important and I really need it please help me out and provide me the answers for the second image two questions, looking at the first image please. Solve for b.b+23=114Enter your answer as a fraction in simplest form in the box. b = Background information: This excerpt describes the United States use of economic sanctions against Sudan. It was created by the US Department of the Treasury. According to this text, what action can you assume Executive Order 13067 took? It supplied economic and military aid to the government of Sudan. It imposed trade restrictions on Sudan. It developed a free trade agreement between the United States and Sudan. It created diplomatic relations between the United States and Sudan. An egg with an initial temperature 25C was place into a boiling water for 15 minutes. Heat from the boiling water enters the egg and changes its temperature gradually over time and space. Using the 2 dimensional finite element method, prove that the temperature of the egg varies from the shell to the center of the egg. You may need to develop your own nodes before start deriving the equations. Robert baked 6 pies to donate to a charity dinner before he ran out of sugar. With each additional cup of sugar he buys, he can bake 1 more pie.Write an equation that shows how the total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x.Y= Label the plant cell diagram below.1.2.3.4.5.6.7. 2. did the storm--thick with blustering winds--leave beauty as well, or only devastation?A. didB. leaveC. bothD. neither How has Starbucks adapted to Chinese culture? This tennis grip is obtained by laying the racquet flat and picking it up. continental grip western grip eastern grip double handed grip The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls What do you think spirits do all day besides watching the people they knew and lovedwhat do you think they eat For a named river you have studied, explain the causes of flooding. 16+165+7+7+7+7+7+7+7+7+7+7+7+7 Between which two letters will the bond break to release energy?"O A and BO B and CO C and DO Band C and C and D numerical problems:a.) convert 300K into the celsius scale.b.) convert 220 centigrade scale into kelvin scale.c.) convert 20 ventigrade scale into Fahrenheit scale.d.) convert 260 Fahrenheit into centigrade. pls help me to solve this problems Determine the measured. To form a charge of +2 an atom must________electrons.To form -3 it must ________ electrons.Multiple choice:1) gain2 ;lose 32) gain3: lose23) lose2;gain34) lose3; gain2 To use the Expression Builder to create a calculated field, select the column in the Field row, right-click to display the shortcut menu, and then click ____.