Answer:
1899.7 in^3.
Step-by-step explanation:
Radius = 1/2 diameter
= 22 * 1/2 = 11.
Volume = 1/3 pi r^2 h, so
= 1/3 * 3.14 *1 1^2 *1 5
= 1899.7 in^3.
Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid).The building has a 64 × 64 m square base and is 36 m tall. The cut off section has a 16 × 16 m, square base and is 12 m tall. What is the volume of the buliding?
Answer:
65,536−1,024
which = 64,512 m^3
Step-by-step explanation:
I took the test!
The volume of the building shaped like a pyramid that's cut off in a plane parallel to its base is 64512 m³
Volume of a pyramidvolume of a pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
volume of the building = volume of the whole figure - volume of the cut part
volume of the whole figure = 1 / 3 × (64 × 64) × (12 + 36)
volume of the whole figure = 65536 m³
volume of the cut part = 1 / 3 × (16 × 16) × (12)
volume of the cut part = 1024 m³
Therefore,
volume of the building = 65536 - 1024 = 64512 m³
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lloooooook belooooow please help giving brainliest
Answer:
Do you need the fourmulas?
Step-by-step explanation:
Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to
profit at least $500. Each baked good sells for $2 but costs $0.50 to make. How many baked goods
will they have to sell to meet the goal?
Answer
250
315
333
334
341
Answer:
334
Step-by-step explanation:
[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]
○=> Steps to derive correct answer :Money Jefferson needs to collect = $500
Selling price of each baked good = $2
Cost price of each baked good = 0.50
Number of baked goods Jefferson need to sell to meet his goal :
[tex] =\tt \frac{500}{2} \times 0.50[/tex]
[tex] =\tt 250 \times 0.50[/tex]
[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]
Thus, Jefferson needs to sell 125 baked goods.
▪︎Therefore, the correct option is (a) 125.
In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.
Round 0 1 2 3 n
Points 25 75 225 675
Which equation shows the number of points available, p, in round n of the game show?
Answer:
[tex]p = 25(3)^n[/tex]
Step-by-step explanation:
Given
Round 0 1 2 3
Points 25 75 225 675
Required
Determine the equation
Let n = rounds and p = points.
So, we have:
[tex](n_1,p_1) = (0,25)[/tex]
[tex](n_2,p_2) = (1,75)[/tex]
[tex](n_2,p_2) = (3,225)[/tex]
The above shows a geometric progression.
So, we solve using
[tex]p = ab^n[/tex]
In [tex](n_1,p_1) = (0,25)[/tex]
n = 0 and p = 25
Substitute these values in [tex]p = ab^n[/tex]
[tex]25 = ab^0[/tex]
[tex]25 = a*1[/tex]
[tex]25 = a[/tex]
[tex]a = 25[/tex]
In [tex](n_2,p_2) = (1,75)[/tex]
n = 1 and p = 75
Substitute these values in [tex]p = ab^n[/tex]
[tex]75 = ab^1[/tex]
[tex]75 = ab[/tex]
Substitute 25 for a
[tex]75 = 25*b[/tex]
Make b the subject
[tex]b = \frac{75}{25}[/tex]
[tex]b = 3[/tex]
So, we have:
[tex]a = 25[/tex] and [tex]b = 3[/tex]
The equation [tex]p = ab^n[/tex] becomes
[tex]p = 25(3)^n[/tex]
Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ
There is a common ratio of 'r' in each successive term to the
previous term.
Therefore, it's a geometric sequence.
Explicit formula of a geometric sequence is given by,[tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] nth term
Given in the table,
Common ratio (r) of any successive term to the previous term,[tex]r=\frac{75}{25}=3[/tex]
First term of the sequence 'a' = 25Explicit formula of the sequence will be,
[tex]P=25(3)^{n}[/tex] [For n ≥ 0]
Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Learn more about the geometric sequence here,
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[tex]4 \times {8}^{x + 1} = {2}^{2x} [/tex]
Calculate the value of x
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
2^2×2^3(x+1)=2^2x
same base cancel,you will get
2+3x+3=2x
take same variable then - or + you will get
[tex]x = - 2[/tex]
Answer:
x=-5
Step-by-step explanation:
2^2×2^3(x+1)=2^2xsince they have the same Base we equat the exponents2+3(x+1)=2x2+3x+3=2x group like terms3x-2x=-3-2x=-5y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step
Answer:
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ok
7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->
Answer:
7Q ^12
Step-by-step explanation:
Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos
I need help with algebra
Answer:
D
Step-by-step explanation:
All the y's go down by -4. If they keep changing by the same number its linear
Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook
Answer:
n+p=4.50
n=2p
2p+p=4.5
2p=4.5
p=$1.5
n=$3
Step-by-step explanation:
Answer:
Pencil: $1.50
Notebook: $3
Step-by-step explanation:
n = cost of notebook
p = cost of pencil
n + p = 4.5
n = 2p
substitute n into the first equation
2p + p = 4.5
3p = 4.5
p = 1.5
n = 2p
n = 2(1.5)
n = 3
Find the equivalent expressions for (x + 7)(x + 1).
x(x + 7+8)
(x +4)^2 - 9
x^2+ 8x + 7
x^2+ 7x + 8
(x+ 4)^2 +9
x(x + 8) +7
Answer:
The answers should be
x^2 + 8x + 7
x(x + 8) +7
Step-by-step explanation:
(x + 7)(x + 1)
x(x) + x(1) + 7(x) + 7(1)
x^2 + x + 7x + 7
x^2 + 8x + 7
Answer:
C d
Step-by-step explanation:
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)
Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]
[tex]4+a=-1[/tex]
[tex]a=-1-4[/tex]
[tex]a=-5[/tex]
And,
[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]
[tex]5+b=3[/tex]
[tex]b=3-5[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of fourth vertex are (-5,-2).
what is the area of a right triangle with a height of 8.9cm and a base of 14.3cm
A circle has its centre at the origin and has a radius of 5.
What is its equation?
Answer:
x²+y²=25
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x-0)²+(y-0)²=5
x²+y²=25
Simplify the following expression -24 - 3.r) + (5x - 2)
Answer:
-3 (r+8)
Step-by-step explanation:
-3 (r) -24
-3 (r) - 3 (8)
-3 (r+8)
The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions
Answer: no solution
Step-by-step explanation: after simplifying they are parallel which means they have no solutions
In which quadrant does the terminal side of 225° angle in standard position lie
Answer:
4 th quadrant
Step-by-step explanation:
olz make me brainliest
Which expression represents the quotient of the model shown? -x2 O x + 3 x - 3 lolo o O -X-3 -x + 3
Answer:
-x+3Step-by-step explanation:
Given the expression
-x^2 + x + 3 x - 3
Factorize
(-x^2 + x) + (3 x - 3)
-x(x-1)+3(x-1)
= (x-1)(-x+3)
Hence one of the quotient is -x+3
Write an equation for (-1,-2),(-3,-4)
Answer:
y=x+1
Step-by-step explanation:
First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:
-4--2/ -3--1= -2/-2= 1
so the slope is 1
Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b
-3=-4+b
1=b
now plug the slope and y intercept in:
y=x+1
hope this helps :D
HELP I AM CONFUSION WHATS THE ANSWERRR
Sarah started with two large dogs and 8 small dogs, write the ratio of large to small dogs. then interpret the ratio with words
Answer:
2:8
Sarah has 2 small dog and 8 big ones
Step-by-step explanation:
Hi can anyone solve this for me please solve it on a piece of paper please
Answer:
Awsten Knight
Step-by-step explanation:
Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median
Answer:
it will option A. Altitude hope it helps
The segment AD in the given triangle describes as Altitude.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given is a triangle ABC.
Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.
Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.
Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.
Median is the line segment joining the vertex with the mid point of the other side.
Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.
So it is altitude.
Hence the given segment is altitude.
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The table shows the number of students who ate different foods for lunch.
Food Students
Mac and cheese 6
Burger 7
Pizza 13
Salad 4
What is the ratio of students who ate pizza to students who ate mac and cheese?
a
6 : 30
b
6 : 13
c
13 : 7
d
13 : 6
Which one is it?
Answer:
13:6 D
Step-by-step explanation:
A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.
The ratio of students who ate pizza to students who ate mac and cheese is 13:6.
From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.
What is a ratio?In mathematics, a ratio indicates how many times one number contains another.
Now, pizza: mac and cheese=13:6
Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.
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I’m struggling with this could you help me pls
Step-by-step explanation:
a) x=0, y=6
x=1, y=4
x=2 , y=2
x=3, y=0
x=4, y= -2
y= 6-2x
b) look at the attachment.
c)
6-2x=3
-2x=-3
x=3/2
Line CD contains points A (4, 6) and B (4, 3). The slope of line CD is (2 points)
positive
undefined
negative
zero
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)
m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]
Division by zero is undefined thus the slope of CD is undefined
y = 3x - 2
y = 4x - 5
Answer:
x = 3
y = 7
Step-by-step explanation:
y=3x-2
y=4x-5
then 3x-2 = 4x-5
reduce
x = 3
y = 7
Answer:
SOLVE FOR Y
y=
2
x+5
SOLVE FOR X
x=2y−5
Step-by-step explanation:
BC has endpoints B(-3,-5) and C(12,12). FInd the coordinates of the midpoint of BC
Answer:
(9/2, 7/2)
Step-by-step explanation:
The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.
So, in your problem (-3 + 12)/2 = 9/2 and (-5 + 12)/2 = 7/2
The midpoint is (9/2, 7/2)
find the missing angle
Answer:
50°
Step-by-step explanation:
65+65+<z = 180
130+ <z = 180
<z = 50°
18 + x = 10 x=____ help
Answer:
X=-8
Step-by-step explanation:
18+x=10
-18 -18
x=-8
If 2^2x = 2^3, what is the value of x?
Answer:
The value of "X" would be 2.
To solve for x, you'd have to get it by itself. To do so, you'd simplify both sides by solv8ng the exonents of each side (2^2 = 4) and (2^3 = 8). This leaves you with 4x = 8, which you'd then divide both sides by 4. Thus getting 2 as a final answer.
I hope this helps!
(can i plz have brainlist :D hehe)
Step-by-step explanation: