The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
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how do i factor this problem?
Which function describes the sequence 4, 12, 36, 108, ... for n = 1, 2, 3, 4...?
a) f(n) = 2" + 1
b) f(n) = 3n
c f(n) = (n − 1)2 + 3
d) f(n) = 4.3"-1
Answer:
d) f(n) = 4 . 3^(n-1)
______________
Find the exact value of sin 2pi/3
Answer:
2 x 3.14 = 6.28
6.28 divided by 3 = 2.093 around 2.1
3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery?
4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
Answer:
I think it's 4
Step-by-step explanation:
Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
What is the slope of the line on the graph below?
Options:
A.-1/2
B.1/2
C.1
D.2
Answer:
2
Step-by-step explanation:
I need help thank you!
(7x + 14)
(15x - 4)
Answer:
(7x + 14)° = 84°
(15x - 4)° = 146°
Step-by-step explanation:
62° + (7x + 14)° = (15x - 4)°
62° +7x + 14 = 15x - 4
15x - 7x = 62 + 14 + 4
8x = 80
x = 10
Therefore, exterior angle (15x - 4)° = 146°
interior angle (7x + 14)° = 84°
if r = 9 in., what are the volumes for the cone, cylinder, and sphere?
I NEED HELP WITH THIS IT'S DUE TOMORROW!!
Step-by-step explanation:
the volume of :
cone = ⅓π.r².r= ⅓π.r³
cylinder = π.r²r= π.r³
Sphere = 4/3 π.r³
for r = 9 in =>
the volume of:
14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³
15. cylinder = π.9³ = 729π in³
16. Sphere = 4/3 π.9³ = 972π in³
17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =
1 : 3 : 4
a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
Write a direct proportion equation
that shows the price (y) for any
number of posters (x) that are $2.50
each.
A. y = kx
B. 2.50x = y
C. $2.50 = yx
D. 2.50y = x
The perimeter of the parallelogram below is 50 cm and the length of AB = 10 cm. What is the length of side BC?
Answer:
15
Step-by-step explanation:
The length of BC=20cm I think
I ligit dont understad
Plz help asap!!
And explanation will get brainlyst
Find the equasion for the following parabola
Vertex (4,3)
Directrix x (6)
4
3
6
Answer:
(y - 3 )² = 8 ( x - 4 )
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
The equation of parabola is
( y - k )² = - 4 ( P) ( x - h )
Now p = 4 - x = 4 - 6 = - 2
And given value of ( k , h) = ( 4 , 3)
Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )
Or, ( y - 3 )² = 8 ( x - 4 )
Hence The equation of parabola with directrix x = 6 And
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 ) Answer
The answer is (y - 3 )² = 8 ( x - 4 ).
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
What is the equation of a parabola?The equation of a parabola is :
⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]
Now p = 4 - x = 4 - 6 = - 2,
And given value of ( k , h) = ( 4 , 3)
Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]
Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]
Hence, The equation of a parabola with directrix x = 6 and
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 )
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Which set of shapes could be used to form a net for a square pyramid?
1 square and 4 triangles
2 squares and 4 triangles
1 square and 4 rectangles
2 squares and 4 rectangles
Answer:
1 square and 4 triangles
Step-by-step explanation:
Answer:
The answer is (A) or 1 square and 4 triangles .
Step-by-step explanation:
Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .
The number of birdhouses Ben can make varies directly with the amount of time he spends making the birdhouses. He can make 4 birdhouses in 1 1/2 hours. How many birdhouses can he make in 9 hours?
Answer:
24
Step-by-step explanation:
if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27
Answer:
24 birdhouses
Step-by-step explanation:
This is a proportional relationship. y = kx, where k is the constant of proportionality. We can determine k as follows:
4 birdhouses = k(1 1/2 hours), which leads to:
4 birdhouses
------------------------- = 8/3 birdhouses/hr
3/2 hours
In 9 hours, Ben can make (8/3)(9) birdhouses: 24 birdhouses
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?
Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.
Given :
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.
To Find :
How many mugs did Jack make if he had 28.88 lbs of clay left over.
Solution :
Clay required to make 1 mug, r = 0.72 lbs.
Amount of clay left after making sculpture is, T = 28.88 lbs.
Now, number of clay mug Jack can make is :
[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]
Since, number of mug cannot be in decimal, so we take the floor value.
Therefore, number of mug that can be prepared is 40 .
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
1. Find the slope of the line that goes through the points (2, 5) and (6, 7)
Answer:
[tex]\displaystyle m = \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, 5)
Point (6, 7)
Step 2: Find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{7-5}{6-2}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{4}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex] Which of the following best describes the shape of the distribution below ?
A) Uniform
B) right skewed
C) bell shaped
D) left skewed
Answer:
Its right skewed
HELP ME ASAP PLS !!!
Answer:
64 degree
Step-by-step explanation:
The tangent is perpendicular to the normal. In case of circle the normal is the radius which passes from the center of the circle.
Here Angle BAC = 90 degree (as the angle between the tangent and normal)
Angle BAC = 26 degree,
The sum of all the angles in a triangle is 180 degree,
So,
angle BAC + angle ABC + angle ACB = 180 degree
26 degree + angle ABC + 90 degree = 180 degree
angle ABC = 64 degree
4d multiply 7d exponent is 4
please help!!! due soon :)))) (look at my other questions too)
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
need help quickly please!
Answer:
86
Step-by-step explanation:
Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86
I think that's it I hope it will help you
Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?
Answer:
price of 5 bags of popcorn = 3.75 x 5 = 18.75
price of 8 drinks = 5 x 8 = 40
price of p bags of popcorn = 3.75 x p
price of d drinks = 5 x d
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
Can I get a good explanation on SAS Triangle Congruence? (35 points)
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.
For example - In the attached picture,
KL = XY∠KLM = ∠XYZLM = YZTherefore, ΔKLM ≅ ΔXYZ
(By SAS criteria)
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
help meeee please thuis is due at 2
Answer:
the answer is 20
Step-by-step explanation:
because if you add all of it you get 20
Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32
The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?
Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.
Define combinations?
In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.
To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.
Multiplying the number of choices at each step, we get:
2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.
Therefore, there are 3 possible dinner combinations for Leila.
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If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find how old Joe is.
Answer:
He is 20 at oldest, or [tex]x\leq 20[/tex]
Step-by-step explanation:
The first step in finding a possible age is:
Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.
This means Joe is younger than or 20 years old.
What is the solution to the equation below?
Answer:
The solutions are (2,0) and (3,0)
Step-by-step explanation:
The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.
2x (x - 4) - (x+3)(x - 2) = - 4x
============= ========
(x -2)(x - 4) x^2 - 6x - 8
Multiply both sides by x^2 -6x - 8
2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets
2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left
2x^2 - x^2 - 8x - x + 6 = - 4x
x^2 - 9x + 6 = - 4x Add 4x from both sides
x^2 - 9x + 4x + 6 = 0
x^2 - 5x + 6 = 0
This factors into
(x - 2) and (x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3