Please help!
Find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
Answers
The lateral area of the triangular prism is: 720 in.²
The surface area of the triangular prism is: 840 in.²
What is the Lateral Area of a Triangular Prism?Lateral area of a triangular prism (AL) = (a+b+c)h
What is the Surface Area of a Triangular Prism?Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
a. Lateral area of a triangular prism:
a = √(17² - 15²) = 8 in.b = 15 in.c = 17 in.h = 18 in.Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²
b. Surface area of a triangular prism:
s1 = 8 in.s2 = 15 in.s3 = 17 in.L = 18 in.b = 8 in.h = 15 in.Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²
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Related Questions
8. If the area of Figure A is 216 square yards, find
the area of Figure B.
Answers
Step-by-step explanation:
the area is
baseline × height.
remember, 2 lengths are multiplied.
since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.
18 × f = 63
f = 63/18 = 7/2
this factor f applies (as mentioned) to the baseline AND to the height.
therefore, the area changes by f×f = f² = 49/4.
that means the area of the larger figure is
216 × 49/4 = 54 × 49 = 2,646 yd²
Annie's squirt gun holds two tanks one tank holds 968 ML and the other tank holds 784 ML how many liters does the squirt gun hold in total
Answers
ayo
968ml + 784ml = 1752ml or 1.752Liter
Problems Involving Fundamental Counting Principle
1. Patrick wants to buy a computer system. In a computer shop, a customer can choose one of the 4 monitors, one of the 2 keyboards, one of the 4 CPU, and one of 3 printers. Determine the number of possible systems that Patrick can choose from.
2. An ice cream parlor is offering different flavors of ice cream with two kinds of containers available, cone and paper cup. The flavors of their ice cream include cheese, vanilla, mango, and chocolate. What is the total number of possible combinations if a customer can choose a container and 3 flavors of ice cream?
3. Emma has 5 blouses, 3 skirts, and 4 pairs of shoes. In how many different ways consisting of a blouse, a skirt, and a pair of shoes can Emma dress up?
4. Tess, Rina, Rose, Ronnie, Bryan, and Gab are all members of the Student Council. In how many ways can you form a committee of three students?
Problems Involving Probability of Simple Events
5. A letter is to be chosen from the letters of the word EXTRAVAGANT. What is the probability that it is a consonant?
6. An auditor of a club is to be selected from 8 Grade 7, 9 Grade 8, 12 Grade 9, and 5 Grade 10 students. What is the probability that he/she is not a Grade 8 student?
7. A spinner is divided into parts and whose colors are similar to a color wheel. What is the probability that the pointer lands on a secondary color?
8. Slips of paper are numbered 4, 5, 6, …, 34, folded into similar squares and placed in a bowl. If a paper is to be picked at random, what is the probability that the number is a prime number?
Answers
The questions are illustrations of combination and probability
Combination involves the ways of choosing or selecting an item from a group of itemsProbability involves the chance of choosing or selecting an item from a group of items1. Number of systems to choose fromThe given parameters are:
Monitors = 4
Keyboard = 2
CPU = 4
Printer = 3
The number of systems to choose from is:
n = 4 * 2 * 4 * 3 = 96
Hence, Patrick can choose from 96 systems
2. Combination of Ice creamThe given parameters are:
Containers = 2
Flavors = 4
The number of total combination to choose from is:
n = 2 * 4C3 = 8
Hence, the number of total combination is 8
3. Emma dressing upThe given parameters are:
Blouse = 5
Skirt = 3
Shoes = 4 pairc
The number of ways to dress up:
n = 5 * 3 * 4 = 60
Hence, Emma can dress up in 60 ways
4. Members of committeeThe given parameters are:
Students = 6
Members of committee = 3
The number of ways to form a committee is:
n = 6C3 = 20
Hence, there are 20 ways to form the committee
5. Probability of consonantWe have:
Letters = 11
Consonnats = 7
The probability of selecting a consonant is:
P = 7/11
P = 0.636
Hence, the probability of selecting a consonant is: 0.636
6. Probability of not selecting a grade 8 studentWe have:
Total students = 34
Students not in grade 8 = 25
The probability that a student is not in grade 8 is:
P = 25/34
P = 0.735
Hence, the probability that a student is not in grade 8 is 0.735
7. Probability of a secondary colorNot enough details to solve
8. Probability of a prime numberThere are 9 prime numbers in a total number of 31 numbers from 4 to 34.
So, the probability that a number is prime is:
P = 9/31
P = 0.290
Hence, the probability that a number is prime is 0.290
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Given the definitions of f(x) and g(x) below, find the value of (g•x)(1).
=
f(x) = 3x2 + 2x - 3
g(x) = -x + 4
Answers
Step-by-step explanation:
f(x) = 3x2+2x-3
g(x) = -x+4
(g.f)(x) = g[3x2+2x-3]
= -(3x2+2x-3)+4
= -3x2-2x+3
(g.f)(1) = -3(1)2-2(1)+3
= -3-2+3
= -2
The list of all ordered pairs in the given relation R on the set T is (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).
Answers
Answer:
1,1. 4,4. 5,5 and. 6,6
Step-by-step explanation:
Because they are all the same numbers :)
kate has a coin collection. she keeps 7 of the coins in the box, which is only 5% of her entire collection. what is the total number of coins in kate's coin collection?
Answers
Answer:
140
Step-by-step explanation:
5 percent is 5% or 5 out of 100
5 / 100 = 7 / x
Cross multiply to get
5x = 700
Divide both sides by 5
x = 140
the answer need to be rounded to the nearest tenth
Answers
Answer:
251.3
Step-by-step explanation:
A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
The hypotenuse of a right triangle ensures 17cm and one of its legs measures 13cm
Answers
Answer:
sqrt (120)
Step-by-step explanation:
Use pythag theorem
Leg1 ^2 + Leg2^2 = Hypot ^2
13^2 + Leg2^2 = 17^2
Leg2^2 = 17^2 - 13^2
Leg2 = sqrt (120)
help me please
find value of x and y
Answers
Answer:
Below in bold.
Step-by-step explanation:
The triangle ABC is a right triangle as BCD is a tangent.
So m < y = 90 - 30 = 60 degrees
The angle at the centre O = 2*30 = 60 degrees (angle subtended at centre theorem)
m < x = 180 - 90 - 60 = 30 degrees
Step-by-step explanation:
y = 60
x= 30
these are the answer s
Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4. the four angles of the quadrilateral are °, °, °, and °.
Answers
The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:
1:2:5:4
Let the sides of the quadrilateral be x, 2x, 5x, 4x.
We know the sum of all angles of quadrilateral = 360°
x+2x+5x+4x=360
12x = 360
First angle, x = 30°
Seconds angle, 2x = 2×30 ⇒ 60°
Third angle, 5x = 5×30 ⇒ 150°
Fourth angle, 4x = 4×30 ⇒ 120°
Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Learn more about the quadrilateral here:
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The four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Step-by-step explanation:
Solve the equation and show your work.
A . 17x + 12 = 54 - 4x
B . 5x - 10 + 2x = 6(x + 1) - x
Answers
Answer:
A. x= 2
B. x= 8
Step-by-step explanation:
Solving an equation refers to finding the value of the variable in the equation.
A. 17x +12= 54 -4x
Bring all x terms to one side, constant to the other:
17x +4x= 54 -12
21x= 42
x= 42 ÷21
x= 2
B. 5x -10 +2x= 6(x +1) -x
7x -10= 6x +6 -x
7x -10= 5x +6
Bring all x terms to one side, constant to the other:
7x -5x= 10 +6
2x= 16
Divide both sides by 2:
x= 16 ÷2
x= 8
Hey ! there
Answer:
Value of x in equation A is 2 .Value of x in equation B is 8 .Step-by-step explanation:
In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .
Solution : -
A)[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]
Step 1 : Subtracting 12 on both sides :
[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]
Step 2 : Adding 4x on both sides :
[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: 21x = 42[/tex]
Step 3 : Dividing with 21 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]
Henceforth , value of x is 2 .Verifying : -
Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,
17x + 12 = 54 - 4x 17 ( 2 ) + 12 = 54 - 4 ( 2 )34 + 12 = 54 - 846 = 46L.H.S = R.HSHence , Verified .Therefore , our solution is correct .
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
B)[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]
Step 1 : Adding like terms on left side :
[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]
Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :
[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]
Step 3 : Solving like terms on right side :
[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]
Step 4 : Adding 10 on both sides :
[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]
Step 5 : Subtracting 5x on both sides :
[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]
On further calculations , we get :
[tex] \longmapsto \qquad \: 2x = 16[/tex]
Step 6 : Dividing with 2 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]
Henceforth , value of x is 8 .Verifying : -
Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,
5x - 10 + 2x = 6(x + 1) - x5 ( 8 ) - 10 + 2( 8 ) = 6 ( 8 + 1 ) - 840 ( - 10 ) + 16 = 6 ( 9 ) - 856 - 10 = 54 - 846 = 46L.H.S = R.H.SHence , Verified .Therefore , our solution is correct.
#Keep LearningSelect the correct answer
Choose the number sentence that ilustrates the distributive property of multiplication over
Answers
Answer:
b
Step-by-step explanation:
a x (b + c) = (a x b) + (a x c)
Answer:
B is the answer...
2(5+6)
(2×5)+(2×6)
solve fox x 8 = 3a - 4
Answers
8-(3*a-4)=0
Pull out like factors :
12 - 3a = -3 • (a - 4)
Solve : -3 = 0
Solve : a-4 = 0
Add 4 to both sides of the equation :
Answer a = 4
Please help me I’m really bad at geometry
Answers
Answer:
x+15=180(being co-interior angle)
x=180-15
x=165
How many groups of tens would represent the value of the digit 4 in the number 14752?
A. 4
B. 40
C. 400
D. 4000
show me why
Answers
Answer:
C. 400
Step-by-step explanation:
The number 14752 is "Fourteen thousand, seven hundred and fifty two"
The 1 is the place of ten thousands ⇒ 10,000
The 4 is the place of thousands ⇒ 4,000
The 7 is the place of hundreds ⇒ 700
The 5 is the place of tens ⇒ 50
The 2 is the place of units ⇒ 2
So we need to find how many groups of tens are in 4000.
To do this, divide 4000 by 10.
To divide anything by 10, simply move the decimal point one place to the left.
Therefore, there are 400 groups of ten in 4000
as 400 × 10 = 4000
NEED HELP: There are approximately 3.1 miles in 5 kilometers. Thaddeus is supposed to ride his bike for 20 kilometers for a charity ride.
Part A: How many meters are in this ride?
Part B: How many miles are in this ride?
Answers
20 kilometers = 20 * 1000
= 20000m
Part B: 5 kilometer = 3.1 miles
20 kilometer = 4 * 3.1
= 12.4 miles
Question 9
Which of the following problems would NOT have a solution?
o Eight pizzas are shared equally among four people, and you want to know how
much each person gets.
o Four pizzas are shared equally among three people, and you want to know how
much each person gets.
o Zero pizzas are shared equally among four people, and you want to know how
much each person gets.
o Three pizzas are shared equally among zero people, and you want to know how
much each person gets.
Answers
Answer:
(d) Three pizzas are shared equally among zero people, and you want to know how much each person gets.
Step-by-step explanation:
You want to know which pizza sharing problem has no solution for the amount each person gets:
8 pizzas, 4 people4 pizzas, 3 people0 pizzas, 4 people3 pizzas, 0 peoplePizza per personThe amount of pizza each person gets is found by dividing the number of pizzas by the number of people:
8 pizzas/(4 people) = 2 pizzas per person4 pizzas/(3 people) = 4/3 pizza per person0 pizzas/(4 people) = 0 pizzas per person3 pizzas/(0 people) = undefined — no solutionThe problem of dividing 3 pizzas among 0 people has no solution.
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1. According to the food label on a box cookies, each box has 16
servings and each serving contains 4 cookies. The weight of the
box of cookies is 1/2
kilograms. What is the weight of each
cookie?
Answers
Answer:
Step-by-step explanation:
Formula
Total number of cookies = number servings * number of cookies in serving
Givens
Number of servings = 16
Number of cookies in each serving=4
Total Mass = 0.5 kg
Solution
Total number of cookies = 16*4
Total number of cookies = 64
Total mass of box = # cookies * mass of 1 cookie
Total Mass of box = 0.5
# cookies = 64
0.5 kg = 64 * mass 1 cookie Divide by 64
0.5 / 64 = 64*mass 1 cookie/64 Compute
Answer: mass 1 cookie = 0.0078 kg
This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.
The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.
If two lines have the same slope, are they perpendicular?
Answers
Yes they would be perpendicular.
d=6cm
h=8cm
volume of a cylinder?
Answers
Answer:
226.224 cm^3
Step-by-step explanation:
Formula :
[tex]\pi r ^{2} h[/tex]
Pi = 3.142
[tex]\pi \times 3 ^{2} \times 8[/tex]
[tex] = 226.224cm ^{3} [/tex]
A purple marker costs 1 dollar and 82 cents. Paul pays for it with two $1 bills. He gets 5 coins back in change. What are the 5 coins?
Answers
Answer: Those coins are 5 pennies
Step-by-step explanation:
Dawn is selling her MP3 player for
3
4
of the original price. The original price for the MP3 player was $40. How much is she selling her MP3 player for?
Answers
$ 40
to find:the new price she's selling her MP3 player.
solution:3/4 of 40 or (3/4)*40
= $30.
so, she is selling her MP3 player for $30.
KITE is a kite.
a. Find the length of KI.
b. Find the length of IT.
Round your answers to the nearest hundredth.
Answers
Answer:
KI = 4.47
IT = 6.32
Step-by-step explanation:
KI
2²+4² = 4+16 = 20
The square root of 20 is 4.47
IT
2²+6² = 4 + 36 = 40
The square root of 40 is 6.32
Mandy has a total of $2.00 in change in her purse. Complete each set of coins below to show amounts equivalent to $2.00.
4 quarters, 5dimes,
______nickels
10 pennies, ____
dimes, 3 quarters, 5 nickels
2 quarters, 12 dimes, 3 nickels,______
pennies
______quarters, 4 dimes, 6 nickels, 5 pennies
Answers
Answer:
10 nickels
9 dimes
5 quarters
Step-by-step explanation:
Answer:
10 nickels, 9 dimes, 15 pennies, 5 quarters
Step-by-step explanation:
I'm a little confused by the question, but, I'll assume that each one is separated by a space.
4 quarters + 5 dims = 1.50. So, there would be 10 nickels.
10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes
2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies
4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters
A puppy weighs534pounds.
how many ounces does the puppy weigh?
a.23 oz
b.46 oz
c.92 oz
ds.184 oz
Answers
Answer:
none of those answers are correct unless u mean 5 and 3/4
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Answers
Answer:
y=0.5x-6
Step-by-step explanation:
check out the attached photo
Answer:
y=0.5x-6
Step-by-step explanation:
Consider these scenarios.
1. An elephant weighs 1.5 × 104 units.
2. A mouse weighs 2.13 × 10-5 units.
3. A puppy weighs 1.2 × 102 units.
Determine the unit of measurement that best represents each scenario.
1.
2.
3.
Answers
1. Pounds
2. Tons
3. Ounces
You guys have a good day :)
Answer:
1.pounds
2.tons
3.ounces
Step-by-step explanation:
just got it right on edge
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the
trapezold?
O 28 cm?
O 36 cm
45 cm?
O
90 cm?
Answers
Answer: 28 cm.
Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2. The work is done below:
b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.
5 + 9 x 4 / 2 = ?
Step 1 (Add): 5 + 9 = 14.
Step 2 (Multiply): 14 x 4 = 56.
Step 3 (Divide): 56 / 2 = 28.
Therefore, 28 cm is your answer.
Hope this helps! :)
To estimate the average amount of time it takes a professional football player to run a mile, a sample of 20 players yielded an average time of 6.32 minutes. What is the statistic
Answers
The average amount of time it takes a professional football player to run a mile is = 18.96 seconds
Calculation of the average time of a footballerThe total number of players that made up the sample data = 20
The average time for the whole players was = 6.32minutes.
If 20 players = 6.32 mins
∴ 1 player = ?
Make the unknown the subject of formula,
? = 1 × 6.32/20
? = 6.32/20
? = 0.316 mins
To converted to seconds multiply by 60,
Therefore, 0.316 × 60 = 18.96 seconds.
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Which one is it
(1, 100)
(3, 49)
(4, 50)
(2, 74)
Answers
Answer:
(1, 100) » First one
(3, 49) » Third one
(4, 50) » Forth one
(2, 74) » Second one
Step-by-step explanation:
[tex]{}[/tex]
(1,100)