Answer:
1) The volume of the frustum is 27·(√3)·h
2) The surface area the frustum is 24·h + 54·√3
Step-by-step explanation:
1) A frustum of the regular triangular prism is a portion of the triangular prism
The length of the edge of the triangle prism = 12
The area of the triangular face, A = (√3/4)·a²
∴ A = (√3/4)·12² = 36·√3
When
The volume of the triangular prism, V = A·h = (36·√3)·h
By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism = (√3/4)·6² = 9·(√3)
The volume of the top half, V₂ = 9·(√3)·h
The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h
The volume of the frustum = 27·(√3)·h
2) The surface area of the triangular side of the frustum is given as follows;
A = 36·√3- 9·(√3) = 27·(√3)
The surface area the frustum, [tex]F_A[/tex] = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3
The surface area the frustum = 24·h + 54·√3
7th grade math
plz help asap
the picture is attached
10 POINTS
Answer:
1. A, C, and E
2. 13.5
3. -3
4. $3.39
5. 9 1/4 miles
Step-by-step explanation:
Directions: Tell whether each set of ordered pairs satisfies an exponential function. Write yes
or no.
{(-1-1),(0,0),(1,-1).12.-4)}
. 4
{(0,1),(1,4),(216),(3,64)}
{(-11.5),(0,3).(16) (2.12)}
()/(
{(-1-9).(1,9),(3,27).(5,45)}
Answer:
1_9
Step-by-step explanation:
Directions: Underline the prepositional phrase in each sentence. Highlight the preposition. (There may be more than one.)
Can someone plz help real quick?
Answer:
1 Cm - 3 Meters
Step-by-step explanation:
Just do 15 (meters) divided by 5 centimeters. 15 divided by 5 is 3.
4x^2+9x+10+3x^2+7x+2
Answer:
7x2+16x+12
Step-by-step explanation:
=4x2+9x+10+3x2+7x+2
=(4x2+3x2)+(9x+7x)+(10+2)
=7x2+16x+12
Find the midpoint of the line segment with end coordinates of:
(−4,8) and (4,−2)
Answer:
(0, 3 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (4, - 2) , then
midpoint = ( [tex]\frac{-4+4}{2}[/tex], [tex]\frac{8-2}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (0, 3 )
Help!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
What is 3.00 - 2.50 explain your work
Answer:
0.5
Step-by-step explanation:
Subtract 2.5 from 3
Option A
Option B
Option C
Option D
Answer:
It's B
... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2
-6xy and 2xy are like terms
g(n) = 20(x+15) What is g(10)?
Answer:
500
Step-by-step explanation:
g (10) = 20(x+15)
= 20 (10+15)
= 20 (25)
= 500
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%
Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit
Answer:
10^2+24^2
Step-by-step explanation:
got 100% on the quiz
Sara simplified an expression as shown.
image
What property of operations did Sara use to get from Step 3 to Step 4?
A.
Subtracting a number is the same as adding its inverse.
B.
Associative Property of Addition
C.
Commutative Property of Addition
D.
The opposite of a sum is the sum of its opposites.
Sara simplified an expression as shown.
image
What property of operations did Sara use to get from Step 3 to Step 4?
A.
Subtracting a number is the same as adding its inverse.
B.
Associative Property of Addition
C.
Commutative Property of Addition
D.
The opposite of a sum is the sum of its opposites.
Answer:
B. Associative Property of Addition
Step-by-step explanation:
Explain what the (0,0) represents in the table.
Answer:
0,0
Step-by-step explanation:
0,0 on a graph would represent the origin.
which number is a zero of f(x) = 2x (x + 7) ( x-4)
Answer:
0, -7, 4
Step-by-step explanation:
Zeros of a function are values that make the function = 0
So, f(x) = 2x(x + 7)(x - 4) = 0
x = 0 or x + 7= 0 or x - 4 = 0
x = -7 x = 4
Note: If you were to graph f(x), the graph would intercept the x-axis at 0, -7, and 4
someone help ME PLZZZZ
Answer:
a+b
Step-by-step explanation:
Solve the system of linear equations.
Check your solution, if possible.
2x + 3y = 5
2x + 3y = 7
Answer:
there is no solution, meaning the lines would be parallel
Step-by-step explanation:
i hope this helps :)
FUDGEE help pleasee
. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equation below. x^2 + 10x + 21 = 0 x = 3; x = -7 x = -3; x = -7 x = 3; x = 7 x = -3; x = 7
Answer:
x= -7 and x= -3
Step-by-step explanation:
(x+7)(x+3)=0 (Think about the numbers that will add to 10 and multiply to 21)
x= -7 and x= -3
Answer:
x = −3 or x = −7
Step-by-step explanation:
Let's solve your equation step-by-step.
x^2 + 10x + 21 = 0
Step 1: Factor left side of equation.
(x+3) (x+7) = 0
Step 2: Set factors equal to 0.
x + 3 = 0 or x + 7 = 0
x = −3 or x = −7
I hope this helps you with your assignment and have a fantastic day! :D
one cookie at the bakery cost $0.65 two cookies cost $1.20 and three cookies cost $1.75 how much will half a dozen cookies cost
Answer:
half a dozen cookies would cost $3.90
Step-by-step explanation:
Your teacher gave you 45 of a bag of candy, but she only gave your friend 23 of a bag.
How much more of the bag did your teacher give you than your friend?
Answer:
you got 12 more then your friend, 45-23
Step-by-step explanation:
Give the product in simplest form:
Answer:
5 15/48
Step-by-step explanation:
5 times 3 is 15, 8 times 6 is 56, and 5 times 1 is 5....you can not simplify 15/48 so the final answer is 5 15/48
DO,-2(x, y)(3, 5). The point (x, y) is (1, 3) (-3/2, -5/2) (-6, -10)
Answer: -6, -10.
The question is asking you to make the coordinates negative and then multiply the negative numbers by 2, thus, -6, -10.
The coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have:
-2(x, y) → (3, 5)
The coordinate (x, y) changes after multiplication by factor 2
New coordinate = (3, 5)
-2x = 3
x = -3/2
-2y = 5
y = -5/2
Thus, the coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
Learn more about the ordered double here:
https://brainly.com/question/10757890
#SPJ2
What’s the slope? I need help pls
Answer:
The slope is -2/-3
Step-by-step explanation:
Look at the X-axis and go up to the point
Answer:
4/-2
Four over -2
Is your slope.
Your y-intercept is -1
Step-by-step explanation:
70% of x is 63. Write an equation to find the value of x, and solve the equation. What is the value of x?
Answer:
70%of x = 63
70/100 × x = 63
x=63×100/70
x=90
Step-by-step explanation:
find an ordered pair of 5x + y = 3
Answer:
Step-by-step explanation:
Find an ordered pair that satisfies the equation 5x + y = 3.
There are infinitely many ordered pairs that satisfy this equation.
If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).
If we were to choose x = 1, then 5(1) + y = 3, or y = -2. The ordered pair would be (1, -2).
And so on.
There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red marble, you win. If you draw a blue marble she wins. Is this a fair game?
Please help with these 3 pretty easy problems and explain how you got it!!! 100 POINTS AND BRAINLIEST!!!! Serious answers please..
Answer:
Step-by-step explanation:
1)
(x-3)/18=12/9, cross multiply
9(x-3)=18(12)
9x-27=216, add 27 to each side
9x=243, divide each side by 9
x=27
2)
(x-16)/(x+6)=3/5, cross multiply
5(x-16)=3(x+6)
5x-80=3x+18, subtract 3x from each side
2x-80=18, add 80 to each side
2x=98, divide each side by 2
x=49
3)
Since the triangles are similar we can say that
25/(4x-1)=10/(x+5), cross multiply
25(x+5)=10(4x-1)
25x+125=40x-10, subtract 40x from each side
-15x+125=-10, subtract 125 from each side
-15x=-135, divide each side by -15
x=9
here are the answers!
1)
(x-3)/18=12/9, cross multiply
9(x-3)=18(12)
9x-27=216, add 27 to each side
9x=243, divide each side by 9
x=27
2)
(x-16)/(x+6)=3/5, cross multiply
5(x-16)=3(x+6)
5x-80=3x+18, subtract 3x from each side
2x-80=18, add 80 to each side
2x=98, divide each side by 2
x=49
3)
Since the triangles are similar we can say that
25/(4x-1)=10/(x+5), cross multiply
25(x+5)=10(4x-1)
25x+125=40x-10, subtract 40x from each side
-15x+125=-10, subtract 125 from each side
-15x=-135, divide each side by -15
x=9
Can the sides of a triangle have lengths of 19,24 and 43? If so, what kind of triangle is it?
Answer:
Yes Isosceles Triangle
Step-by-step explanation:
Im not a 100% sure but they all add up to 84 so good luck
Simplify the expression.
-21k - 3 + 4 - 7k
Step-by-step explanation:
I hope it is helpful to you
A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green.
It is spun twice.
What is the probability of getting red both times?
Answer:
9/81
Step-by-step explanation:
Too long for me to explain it
Can someone help me pls :(
Answer:
30x-10
Step-by-step explanation:
6(5x−2)+2
Distribute:
=(6)(5x)+(6)(−2)+2
=30x+−12+2
Combine Like Terms:
=30x+−12+2
=(30x)+(−12+2)
=30x+−10
Answer:
=30x−10