Answer: 466.56
Step-by-step explanation:
Volume = pi times radius^2 times height/3
Radius = 1/2 of the diameter
Volume = 3.24 times 6^2 times 12/3
Volume = 3.24 times 36 times 4
Volume = 116.64 times 4
Volume = 466.56
Can anyone answer questions 10 A and B asap please
Problem 10, Part A
The larger outer square is x cm by x cm, where x is some placeholder for a positive number. For example, if x = 10, then we have a 10 cm by 10 cm square.
Unfortunately, we don't know what number replaces x.
What we can determine is the connection between the larger square and the smaller one. The frame is 3 cm wide in all directions (aka it's a uniform width). What this allows for is that the smaller square is x-6 by x-6. The 6 is from subtracting two copies of 3, so ultimately we're subtracting off 2*3 = 6 to form the smaller dimensions.
You can think of it like x-3-3 = x-6
So we need to expand out (x-6)(x-6) like so
(x-6)(x-6)
y(x-6)
xy - 6y
x(x-6) - 6(x-6)
x^2-6x - 6x+36
x^2-12x+36
In the second step, I replaced one copy of (x-6) with y, after which I used the distributive rule. After distributing, I plugged in y = x-6 and distributed again. The last step is combining like terms. As an alternative, you can use either the box method or the FOIL rule to find the answer.
The expression x^2-12x+36 is the expanded form of the area of the smaller square, which is the picture itself without the frame involved.
Answer: x^2 - 12x + 36===========================================================
Problem 10, Part B
We follow the same idea as the previous part. This time, we have a rectangle that isn't a square.
Along the horizontal, the (x+30) will drop to (x+30)-5-5 = x+20 when we consider just the picture without the frame. In other words, the smaller inner rectangle has a horizontal dimension of (x+20) cm.
The vertical component of this smaller rectangle is x-5-5 = x-10 cm
So,
area = length*width
area = (horizontal dimension)*(vertical dimension)
area = (x+20)(x-10)
area = y(x-10) ..... let y = x+20
area = xy - 10y ...... distribute
area = x(x+20) - 10(x+20) ... plug in y = x+20
area = x^2+20x - 10x - 200 ..... distribute again
area = x^2 + 10x - 200
Answer: x^2 + 10x - 200Side note: the units for this area, and for part A, are in square cm.
Match the inequality with its graph.
Answer:
the answer is b
Step-by-step explanation:
5x plus seven can equal 32 if x equals 5
5x equals 25 hypothetically plus 7 equals 32 and x can be a lower number so it is a closed circle
WILL GIVE BRAINLIEST
Find the value of x
5 of 12
Malachy was thinking of a number. Malachy doubles it and adds 1.4 to get an answer
of 66.9. Form an equation with x from the information.
Answer:
x×2+1.4=66.9
I hope I helped! Have a great rest of your day.
kevin uses a coupon for 75% off one item. he only pays $3.00 for a train set. how much money was the train set originally?
Answer:
$4.00
Step-by-step explanation:
75% of 4
75% × 4 =
75/100 × 4 =
(75 ÷ 100) × 4 =
75 × 4 ÷ 100 =
300 ÷ 100 =
= 3
Hope this helps.
What can be used to explain a statement in a geometric proof
Answer:
corollary,postulate,theorem,definition
what is 27/3 as a whole numder
Answer:
the answer to this will most likely be nine 9
Answer:
9
Step-by-step explanation:
27 divided by 3 is 9!
Please mark brainliest if possible and have a nice day!
Can someone please help me?
Answer:
Use the SINE COSINE and the TANGENT rule
Step-by-step explanation:
1.1st use the Pythagoras theorem to find the value of the other side
2.Now be comfortable to use the rule............................
I need help with one more problem in algebra 1a
Answer:
A = 1/8 or -1/8
Step-by-step explanation:
Find the missing amount)
Original: $15
New: $25
%Increase:_______
(not multiple choice)
Answer:
66.6%
Step-by-step explanation:
Original = 15
New = 25
Percent increase = x%
25 - 15 = 10
10/15 = 2/3 = 66.6%
-Chetan K
What is the iterative rule for this geometric sequence?
2/9, 2/3, 2, 6, ...
A.) an = 2/9 • 3^n
B.) an = 3(2/9)^n-1
C.) an = 2/9 • 3^n-1
D.) an = 3(2/9)^n
Answer:
I think it is B an=3(2/9)
The iterative rule for this geometric sequence is [tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]
What is geometric sequence?A unique kind of sequence is a geometric sequence. Every term in the series (aside from the first term) is multiplied by a fixed amount to determine the following term. In other words, we multiply the current phrase in the geometric sequence by a constant term (called the common ratio), Divide the current term in the geometric sequence by the same common ratio to discover the previous term in the geometric sequence. Here is an illustration of a geometric sequence with a common ratio of 2, which is 3, 6, 12, 24, and so on. A geometric sequence's common ratio can be either negative or positive, but it cannot be zero.Given that we are aware that a geometric series has an explicit formula in form[tex]a_{n} =(a_{1} )*r^{n-1}[/tex]where, [tex]a_{n}[/tex]=nth term of geometric sequence[tex]a_{1}[/tex]= 1st term of geometric sequencer=common ratioWe can see that our geometric sequence's first term is. By dividing any number by the number that comes before it in the sequence, let's find the common ratio of our supplied sequence.Since 2 comes before 6 in the given geometric sequence, let's divide 6 by 2.r= 6/3 = 3The common ratio is three, as can be seen.When we use the explicit geometric sequence formula with our values, we will obtain,[tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]Therefore, The iterative rule for this geometric sequence is [tex]a_{n} =\frac{2}{9} *3^{n-1}[/tex]
To learn more about geometric sequence, refer to
https://brainly.com/question/25461416
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What are the domain and range of this relationship?
Domain: {0, 1, 2, 3, 4, 5)
Range: {0, 12, 24, 36, 48, 60)
Domain: {0, 12, 24, 36, 48, 60)
Range: {0, 1, 2, 3, 4, 5)
Domain: {:10< 60}
Range: {y 0 Sy <5}
Domain: {r 10 SI<5}
Range: {y 10
Answer:
domain 0 ≤ y ≤ 72 and the range is 0 ≤ y ≤ 6
Step-by-step explanation:
turn into proper fractions( be sure to simplify all answers): 64/7 and 70/6
I'll give ʙʀɪɑɴʟɪɘsŦ (❤´艸｀❤)
Answer:
64/7 = 9 1/7
70/6 = 11 2/3
A 81-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
and are
8. (1.2) Sketch the information given then find BD. Points A.
collinear and in that order. CD = -254 + 8x, AC = 92, BD = x + 113,
and AB = 13x - 527,
First draw a straight line and plot the four points A,B,C,D on that line. It doesn't matter where you plot the points as long as they are in order and none overlap.
We're given AD = x+203. We also know that BD = x+127. Since AB + BD = AD (segment addition postulate) we can determine the length of AB
AB + BD = AD
AB + BD-BD = AD-BD Subtract BD from both sides.
AB = AD-BD
AB = (x+203)-(x+127)
AB = x+203-x-127
AB = 76
The length of BC is also 76 (given). So,
AB+BC = 76+76 = 152
this is equal to the length of AC because AB+BC = AC
So, AC = 152 units
Final Answer: 152 units
Given m
|| n, find the value of x and y.
(4x-6)
(8x+18)
(y+3)
Step-by-step explanation:
(4x-6)+(8x+18) = 180°
12x+12 = 180
12x=168
x=14°........ ..(1)
8x+18=y+3.. (putting the value of x from equation1)
72+18-3=y
y= 87°
hope this helps you.
help please if failed this
Name the marked angle in 2 different ways.
P
Q
N
Answer:
One way you can name it is ∠PQN. Another way is ∠NQP.
Step-by-step explanation:
Hope this helps!
what is 2 3/8 in a improper fraction?
Answer:
See below a shorter way to convert 2 3 8 to an improper fraction. Step 1: Multiply the whole number part (2) by the denominator (8). Step 2: Add the product from Step 1 (16) to the numerator (3). Step 3: Write that result (19) above the denominator.
Step-by-step explanation:
hope this helps you if it does plz mark brainiest
Will give 25 points pleaseee help
Answer:
i don't understand anything what grade are you in
Step-by-step explanation:
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
The 3rd option where it's at (-2,0) and going down.
Answer:
third one(from left) in first row
Step-by-step explanation:
-|x| is same as ^ and f(0)=-2
Can someone plz helppppp m=?
B=?
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
(2x+6)/5=4x−3
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
3.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
A. y = 45(x – 4); $180
B. y – 270 = 45(x – 2) ; $450
C. y = 45(x – 4); $270
D. y – 270 = 45x; $45
Answer:
B. y – 270 = 45(x – 2) ; $450
Step-by-step explanation:
In February, you have a balance of $270 in your bank account.
In January, you have a balance of $270 - $45 = $225 in your bank account.
In December, you have a balance of $225 - $45 = $180 in your bank account.
y = $180 + $45x, where x = 1, 2, 3, 4...
Balance in June: x = 6
y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450
The complete question is:
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
Answer:
$450 in June
Step-by-step explanation:
$X = 270 + 45 × ( number of month)
In this problem, February, the month you start with, would be month 0.
June would be 4.
$X = 270 + 45 × 4
= 270 + 180
= $450 in June
$450 in June.
i am so confused pleassssss help meeeee
Step-by-step explanation:
2y+7-5y+6y-3+y=
(2-5+6+1)y +7-3 =
(4)y + 4 =
4y + 4
the others could be:
9y-5+9-5y
and
4y-1+2y-y-y+1+4
Please, Help me im in middle school so it might be easy for you.
Answer:
1/2
Step-by-step explanation:
3(x + 2) = 2x + 5 justification/ reason
Answer:
x = -1
Step-by-step explanation:
3(x + 2) = 2x + 5
Use the distributive property on the left side.
3x + 6 = 2x + 5
Subtract 2x from both sides. Subtraction property of equality.
x + 6 = 5
Subtract 6 from both sides. Subtraction property of equality.
x = -1
Answer: 1
Step-by-step explanation: 3(x+2)=2x+5
3x+6=2x+5
-3x -3x
6=1x+5
-5 -5
1=1x
Convert three core seventeenlakh ten thousand seven hundred eighty six
Answer:
31710786
Step-by-step explanation:
IF you meant it to convert into digits.
write 5/8 as a decimal.
Answer:
0.625
Step-by-step explanation:
................
Given: Triangle ABC with vertices A(-3,5), B(-2,2), and. C(-4,2)
Given: Triangle A’B’C with vertices A’(3,1), B’(4,-2), and C’(2,-2).
Write the rule to map Triangle ABC onto Triangle A’B’C
Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'