Determine the lateral and surface area of each triangular prism


Answers

Answer 1

Answer:

Step-by-step explanation:

lateral surface area=(sum of sides)×height

Total surface area =2×base area +lateral area


Related Questions

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Answers

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?

Answers

it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849

The circumference of a circle is 18 pi inches what is the radius in inches of the circle

Answers

The radius would be 9 using the formula C=2r

martin has $.50. Sara has 10 times more than Martin. Jon has one tenth as much as Martin. Does Sara has more than Martin? Does Jon have more money than Martin?

Answers

Answer:

Sara has more than Martin

no Jon has less money than martin

Step-by-step explanation:

martin=0.50

Sara: 0.50×10 = 5

jon: 0.50(1/10)= 0.05

There are 40 ducks in a pond. The next spring there is a 40 percent increase. How many ducks are in the pond?

Answers

there are 56 ducks in the pond after a 40% increase

please help I dont understand

Answers

Answer:

Angle 2=160

Angle 3=10

Step-by-step explanation:

The rhombus is made up of two isoceles triangle.

Angle 1 measures 160.

Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.

So the reamaing angles in the top triangle are equal so we can use this equation

Remeber that triangle maximum degree it can hold is 180

[tex]160 + x + x = 180[/tex]

[tex]160 + 2x = 180[/tex]

[tex]2x = 20[/tex]

[tex]x = 10[/tex]

We have two congruent triangle side they share Three sides. SSS

This means the corresponding angle of Angle 1 is Angle 2.

Angle 2=Angle 1 by CPCTC.

Angle 2=160

Angle 3 corresponds with one of the remaining congruent angles so it measures

10.

Reds varied directly as yellows and inversely as greens squared. If 400 reds and 40 yellows went with 10 greens, how many reds went with 20 yellows and 5 greens?

Answers

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/3686/Unit%208%20Day%201%20extra%20practice%20key%20alg%202%201617.pdf its there

will give 15 points

Answers

Answer:

Whats the question

Step-by-step explanation:

What percent of 315 of 126.

Answers

Answer:

396.9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

126/315

126/315×100/100=40/100

40

Which two values are equivalent to 0.6?
1.
6

6%
35c
60%
100

Answers

Answer:

i know one is 60%

Step-by-step explanation:

The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?

Answers

Answer:

Mr. Reed DATA:

rate = 40 mph ; time = x hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)

Step-by-step explanation:

can you help me please? https://brainly.com/question/22819277

What is 1/4 divided by 2?

Answers

Step-by-step explanation:

1/4 ÷ 2 = 1/8 in fraction form.

Answer:

Find the length of VW.

Answers

Answer:

1.8

Step-by-step explanation:

it is on the diagram

1.8 the because of the length

2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?

Answers

Answer:

Sequence:

10, 15, 20, ...

(a) Recursive formula:

a₁ = 10, aₙ = aₙ₋₁ + 5

(b) Explicit rule:

aₙ = a₁ + (n - 1)*5 aₙ = 10 + 5n - 5 = 5n + 5aₙ = 5n + 5

(c) aₙ = 50, n = ?

50 = 5n + 55n = 45n = 9

Day 9

Find f(-6)
f(x) = 2^x

Answers

Answer:

f(-6) = 1/64

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationExponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = 2ˣ

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(-6) = 2⁻⁶Exponential Rule - Rewrite:                                                                               f(-6) = 1/2⁶Exponents:                                                                                                         f(-6) = 1/64

Which of the following points
would be plotted in Quadrant
IV on a coordinate grid?
A. (2,3)
B. (-4,-9)
C. (-9, 3)
D. (5, -6)
WIB

Answers

Answer:

D. (5, -6)

Step-by-step explanation:

f(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down.

equation = ???

Answers

Answer:

f(x) = 4x² - 1

Step-by-step explanation:

The given function is; f(x) = x²

Now, when stretched vertically by a factor of 4, we have;

f(x) = 4x²

It's now shifted 1 unit down.. Thus, the final function will be;

f(x) = 4x² - 1

Which function is linear?
es --
A)
f(x) = 13x] + 4
х
B)
f(x) =
+ 4
3x
f(x) = 3x - 4
D)
f(x) = 13x1 - 4


The answer is C... I just did it and it said it was C!!

Answers

Answer:

answer is b bro :)))))))))))))))

As the team’s fundraisers, Agnes and Betty both sold candy bars. At the end of the fundraiser, Agnes determined that she sold 8 more candy bars than Betty sold.

If Agnes and Betty sold a total of 348 candy bars, how many did Betty sell? i need to show work please help

Answers

Answer:

Step-by-step explanation:

What is the total surface area of the following square pyramid?

Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Help! I’ll mark brainliest /
Jules owns a square plot of land that measures 30 yards on each side. He plans to divide the land in half by building a fence as shown by the dotted line below. how many yards of fencing does Jules need
A 15yd
B 30 yd
C 30/2yd
D30/2yd

Answers

Answer:

BD = 30√2 yd

Step-by-step explanation:

The shape of the land is a square with 30 yd side length on each side.

The fence to he built is the diagonal of the square BD.

Apply pythagorean theorem to find the number of yards of fencing (BD) he needs.

Thus:

BD² = BC² + CD²

BD² ° 30² + 30²

BD² = 1800

BD = √1800

BD = √(900*2)

BD = 30√2 yd

1. Find the slope of the graph. Slope:​

Answers

Answer:

I think the answer is 5 down and over to the left 3.

Step-by-step explanation:

I just counted from the point on the (4,3) and counted down until it was line up with the other point. Next, I counted from there to the other point.

i believe that (-1,3) is correct, if not i will continue trying to help you solve this problem!

hi i like cheesi like cheese e i like chi like cheese eese i like cheese i like cheesi liki like cheese e cheei like chi lii like cheese ke chei like chei like cheese ese ese eese se e

Answers

Answer:

cheese is good but have you tried your mom

Step-by-step explanation:

A piece of rope that is 26feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Write a function g representing the area of the square as a function of the radius of the circle r.

Answers

9514 1404 393

Answer:

  g(r) = (13 -πr)²/4

Step-by-step explanation:

The circumference of the circle is given by ...

  C = 2πr

The amount of rope remaining after the circle is formed will be ...

  26 -2πr

When this is used to form a square, each side of the square will be 1/4 of this length, so is ...

  s = (26 -2πr)/4 = (13 -πr)/2

The area of the square is the square of the side lengths, so is ...

  g(r) = ((13 -πr)/2)²

  g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius

S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?

Please help me :) I’m down bad

Answers

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

help meeeeeeeeeeeeeeeee


Which is larger, 8 tons or 14,000 pounds?

Answers

Answer:

tons          pounds

7           14,000

8            16,000

so 8 tons

Step-by-step explanation:

Answer:

8 tons is larger than 14,000 pounds.

Step-by-step explanation:

Here is my explanation:

One ton (same thing as a short ton) is equivalent to 2,000 pounds.

So 8 tons is basically just 2,000 * 8 which is equal to 16,000.

Hope this helps!

Please help this is due tonight

Answers

Answer
149
Explanation
It adds up to 360 so add all the numbers together and take it away from 360

How many triangles are there help please

Answers

35 And just so you know your teacher is a Satanist xd

Answer:

35

Step-by-step explanation:

Make sure to count the right triangles the equilateral triangles as well.

What is 714 divided by 14?

Answers

Answer:

51

Step-by-step explanation:

Hope this helps

Answer:

51

Step-by-step explanation:

What is 90 divided by 10

Answers

Answer:

9

Step-by-step explanation:

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