Answer:
Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.
The number of sides of the base of a prism and the number of lateral faces is equal.
What is a prism?A prism is a three-dimensional object with two congruent and parallel faces, called the bases and it encloses the space between the bases. Every cross-section parallel to the base of a prism is congruent to its base.
How do we solve the given question?In the question, we are asked to tell the relationship between the number of sides of the base of a prism and the number of lateral faces.
We let the number of sides of the base of the prism be s, and let the number of lateral faces of the prism be f.
We know that a prism has two parallel and congruent bases and every corresponding side of the base are connected by a pane. These planes are the lateral faces of the prisms. As each corresponding pair of sides is connected by one lateral face, the number of the lateral face is equal to the number of sides of the base.
∴ The number of sides of the base = The number of lateral faces of the prism
or, s = f.
∴ We can say that the number of sides of the base of a prism and the number of lateral faces are equal.
Learn more about prisms at
https://brainly.com/question/1297098
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Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
The volume of a rectangular prism is 48 cubic centimeters. The volume of a similar rectangular prism is 6 cubic centimeters.
What is the scale factor for the rectangle?
a. 8
c. 4
b. 6
d. 2
What is the area of this triangle? I need help!! pleaseee
Answer:72
Step-by-step explanation: 9x8 =72
Please help me I really need help
Answer:
A, C
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the ∠A is adjacent (adj) to AB and opposite (Opp) of BC and AB is the hypotenuse (Hyp) of the triangle
which one of the above trig functions fits that?
sin(Ф) = BC / AC is sin(Ф)= Opp / Hyp , so choice A) works
cos(Ф) = BC / AC is not cos(Ф) = Opp / Hyp so choice B) does not work
cos(Ф) = BA / AC is cos(Ф) = Adj / Hyp so choice C) works
AC / BC is just a ratio it's not the angle , so D) doesn't work
Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer: 2 ounce
Step-by-step explanation:
Given
16 ounce of the box is shared by Sue and Bill
Sue has eaten [tex]\frac{5}{8}[/tex] of the box
Bill has eaten [tex]\frac{1}{4}[/tex] of the box
total cereal eaten by them is
[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]
So, they have eaten this much of the box. Amount left in the box is
[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]
In ounce it is
[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]
what is this can someone please help ?
Answer:
The answer is most likely A
Hope this helps if t does please consider giving brainliest
Cya on the next one!
Step-by-step explanation:
GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!
Answer:
The answer is option c....
Mark as brainliest
Prove that the point (2, 1) lies on the line with equation y = 3x – 5.
Answer:
3(2) - 5 = 1
Step-by-step explanation:
y = 3x - 5
(x, y)
plug x and y in
1 = 3(2) - 5
1 = 6 - 5
1 = 1
true
ANSWER ASAP NO LINKS WILL GIVE BRAINLIEST
a place from this table is chosen at random let event 4= the place is a city what is p(a^c)
a 3/7
b 4/7
c 2/7
d 5/7
Answer:
A
Step-by-step explanation:
Tim buys a jacket at $120.00. If he buys it during the Christmas sale,He will pay only 102.00. Calculate the percentage discount. Plz help and explain how to solve it l
Answer:
15% discount
Step-by-step explanation:
1 - (102/120)
1 - 0.85 = 0.15 = 15%
2. What are the current values and appreciation rates of the two coins you selected?
Step-by-step explanation:
You should pick the coin that is cheap but one that also has a high inflation value. You should graph out the rate of increase per year to see if the coins are worthy of investing upon
8.56
A. Right
B. Isosceles
C. Acute
D. Scalene
U
E. Obtuse
F. Equilateral
Answer:
its a right triangle
Step-by-step explanation:
because it has at least one right angle
Answer:
a right because it has kind of a 90 angle
Step-by-step explanation:
Translations and reflections
Answer:
The answer is A. x + 5, y - 2
Step-by-step explanation:
The answer is A because you would move the block 5 spaces to the right and 2 spaces down.
Hope this helps!
Need answer for only number 15! please help!
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
plz plz answer this question
NO LINKS :)
Answer:
did you forget a picture?
Step-by-step explanation:
Answer: first post the picture
Step-by-step explanation:
1. Take the picture
2. Post it on Brainly
3. Get your answer
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
150 x 3 = $450
6/100 x 150 = $9
450 + 9 = $459
Company B:
3.10 x 150 = 465
4/100 x 150 = 6
465 + 6 = $471
Company C:
3.20 x 150 = $480
Now the order (Answer):
A(459), B(471), C(480)
Usted esta tratando de manejar una inversion con un valor actual de $ 10,000 dentro de 10 años al 5% con acumulación anual. ¿ Cuanto necesita invertir?
Answer:
$6,139.1
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
P is the amount invested
A is the amount = $10000
r is the rate = 5%
t is the time = 10years
10000 = P(1+0.05)^10
10000 = P(1.05)^10
10,000 = P(1.6289)
Swap
P(1.6289) = 10,000
P = 10,000/1.6289
P = 6,139.1
Hence I need to invest $6,139.1
I really need help right now someone help pls!!!
imagine paying attention in class
What relation is a doorstep to a doormat???
Does anyone know how to show work using Pythagorean theorem???
Answer:
1)
a. 5.29 cm
b. 17.8 m
c. 9.75 in
d. 12 cm
e. 8.31 ft
f. 25.46 m
Step-by-step explanation:
Have a good day :)
√(4²×49)
__________________________________________
Edenuity Quiz
Help
Exit
Which question can be answered by finding the quotient of
OA)
OB)
Jared makes ad of a goodie bag per hour. How many
can he make in of an hour?
Jared makes of a goodie bag per hour. How many
can he make in zo of an hour?
Jared has . of an hour left to finish making goodie
OC) bags. It takes him ad of an hour to make each goodie
bag. How many goodie bags can he make?
Jared has it of an hour left to finish making goodie
Answer:
C?
Step-by-step explanation:
A) Jared makes x of a goodie bag per hour. How many
can he make in y of an hour?
B) Jared makes x of a goodie bag per hour. How many
can he make in y of an hour?
C) Jared has x of an hour left to finish making goodie bags. It takes him y of an hour to make each goodie bag. How many goodie bags can he make?
D) id k
Quotient is the answer to a division problem, so we need to find a problem that needs to divide x and y to find the answer. It isn't A or B, since they are asking for y, not the quotient. I have no idea what D is. C makes sense, so C might be the answer.
It tells us how much time he has(x), and how long it takes him to make 1 bag(y), and we need to find the answer, which is the quotient.
So C is the answer.
---
hope it helps
Answer:
c
Step-by-step explanation:
How do you find the slope from a equation
Answer:
For example the equation is y=3x+4 ... the slope would be 3
It's the number coming before the x variable
what is the opposite of -(-8)?
Answer:
the opposite of -8 is 8
Step-by-step explanation:
Step-by-step explanation:
We have to find the additive inverseSo multiply (-)[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]
what is f(-1) for the function given?
f(x)=x^2-3x+8
Answer: 12
Work is provided in the image I attached
You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
Your question is poorly formatted (See comment section for complete question)
Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
For what value(s) of x is the equation not true?
Answer:
The equation is not true at x = -7.
Step-by-step explanation:
At x = -7 we'd have division by zero, which is not defined (not allowed).
A kite and its tail total 48 ft in length. the tails is 7 times the length of the body. How long is the kite's tail?
Answer:
42 ft
Step-by-step explanation:
body = x
tail = 7x
x + 7x = 48
8x = 48
Divide both sides by 8
x = 6
Tail
7x = 7(6)
7x = 42
Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared
Answer:
50.24
Step-by-step explanation:
Area = pi*r^2
r = diameter/2
r = 4
Area = pi*4^2
Area = 3.14*16
Area = 50.24
Answer:
Step-by-step explanation:
The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.
Here, with the circle diameter being 8, we figure the radius to be half that, or 4.
Then the area of this circle is A = (3.14)(4 in)², or
A = 50.24 in²