Answer:
Label: About 527.9 square centimeters
Aluminum: About 835.7 square centimeters
Step-by-step explanation:
Amount of paper needed for the label:
You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be [tex]2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9[/tex].
Amount of aluminum needed for the can:
This time, you need to add in the top and bottom of the can as well, which each have area [tex]\pi r^2[/tex]. Together, they have area [tex]2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9[/tex]. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.
Hope this helps!
The sum of 9 consecutive numbers is 279. What is the sum of the first and the last number?
Let the first number = x
The second number would be x +1
3rd number = x +2
4th number = x +3
5th number = x+4
6th number = x+5
7th number = x +6
8th number = x +7
9th number = x+8
The sum is 279
Combine like terms in the 9 numbers to get: 9x + 36 = 279
Solve for x:
9x + 36 = 279
Subtract 36 from both sides:
9x = 243
Divide both sides by 9:
x =27
The first number is 27
The last number would be 27 + 8 = 35
The sum of the first and last would be 27 + 35 = 63
Which statements are true? Check all that apply.
On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis
for ed
Answer:
A,D,F
A is in Quadrant I.
D is in Quadrant III.
F is on the x-axis.
Step-by-step explanation:
got this right..... I did this like 3 months ago so I just answered this
hope this helps:)
The statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.
What is Coordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
On a coordinate plane, point A is (2, 3),
point B is (3, 2),
point C is (negative 2, 2),
point D is (negative 3, negative 3),
point E is (0, 3),
point F is (2, 0), and
point G is (0, 0).
A coordinate geometry has 4 quadrants, in the first Quadrant the x and y axis values are positive.
In second quadrant the coordinates are (-x, y)
In third quadrant the coordinates are (-x, -y)
In fourth quadrant the coordinates are (x, y)
A is in Quadrant I is true
D is in Quadrant III is true
F is on the x axis is true.
Hence, the statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.
To learn more on Coordinate Geometry click:
https://brainly.com/question/27326241
#SPJ3
4. Find the distance between points C and D
Round to the nearest hundredth.
Answer:
Distance between C and D is √10 which is 3.16
Step-by-step explanation:
PLEASE HELP!
What is the first step in drawing a 40° angle?
A.Line up the ray with the baseline and origin on the protractor
B. Draw a mark on the paper at 40°
C. Draw a ray
D. Draw a ray connecting the vertex and the mark
Answer:
C. Draw a ray
Step-by-step explanation:
The first step in constructing an angle - or copying one - is to draw a ray. Then, you will use a protractor, compass, straightedge, etc.
Answer:
C draw a ray
Step-by-step explanation:
A certain set of data has a correlation coefficient of -0.96. What does that tell you about the data?
Answer:
there is a strong negative correlation between data so the chosen model is a good fit
Step-by-step explanation:
a correlation coefficient close to -1 means that the model is considered a good fit; if correlation is greater than 0.8 then it's described as strong
A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.
show work plz thanks!
Theoretical Probability Compound Events
Answer:
5/33
Step-by-step explanation:
five apples and seven peaches = 12 total
P( apple) = number of apples / total
= 5/12
No replacement since you ate it
four apples and seven peaches = 11 total
P( peach) = number of peach / total
= 4/11
P(apple, no replacement, peach) = 5/12 * 4/11 = 5/33
PLease find attached the question
Answer: 102.9m
Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.
Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 2 to show that shape 2 is congruent to shape 1?
Answer:
i cant give you the answer because there is no picture
Answer:
Step-by-step
the only real way to answer this is to screenshot the question and post it and hopefully somebody else can solve it
Topic: The Pythagorean Theorem and Its Converse
State if the three sides lengths form a right triangle.
13) 10cm, 49.5cm, 50.5cm
(I NEED HELP PLZ SHOW WORK)
I WILL GIVE BRIANLIEST
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
The Pythagorean Theorem states that if the sum of the squares of the two small sides of a triangle add up to the square of the longest side, then the triangle is a right triangle: a² + b² = c², where a and b are the smallest sides (called legs) and c is the longest side (called the hypotenuse).
Here, the two smallest sides are 10 and 49.5, so let's square them, add them up, and see if they add up to 50.5²:
10² = 100
49.5² = 2450.25
100 + 2450.25 = 2550.25
50.5² = 2550.25
Since 10² + 49.5² equals 50.5², we know that this is a right triangle.
Thus, yes, this is a right triangle.
Simplify (3/4)^6÷(3/4)^3
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
Since we are dividing indices here with fractions, we apply the rule to minus the indices from each other when dividing. So,
[tex]\frac{3}{4} ^{6} -\frac{3}{4} ^{3}[/tex] = [tex]\frac{3}{4}^{6-3}[/tex] = [tex]\frac{3}{4}^{3}[/tex] = [tex]\frac{3 * 3 * 3}{4 * 4 * 4}[/tex] = [tex]\frac{27}{64}[/tex]
What is the measure of angle GFD?
40°
50°
80°
90°
Answer:
40
Step-by-step explanation:
i took the test and got it right.
Answer:
Its A on edge 40 degrees
Step-by-step explanation:
A line is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?
y = 5x + [?]
Answer:
y = 5x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 9 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, thus
y = 5x + c ← is the partial equation
To find c substitute (- 2, - 3) into the partial equation
- 3 = - 10 + c ⇒ c = - 3 + 10 = 7
y = 5x + 7 ← equation of parallel line
The Science Club has 6 members, 4 girls and 2 boys. What is the ratio of girls to boys in the Science Club?
Answer:
4 to 2
Step-by-step explanation:
Answer:
The ration is 2 : 1
Step-by-step explanation:
Out of 6 members, there are:
4 girls
2 guys
Ratio of girls to boys:
girls : boys
4 : 2
Simplify by dividing.
4 ÷ 2 : 2 ÷ 2
2 : 1
Solve the equation for x.
4x + ax = 2(bx + 3)
Answer:
x = [tex]\frac{6}{4+a-2b}[/tex]
Step-by-step explanation:
Given
4x + ax = 2(bx + 3) ← distribute parenthesis
4x + ax = 2bx + 6 ( subtract 2bx from both sides )
4x + ax - 2bx = 6 ← factor out x from each term on the left side
x(4 + a - 2b) = 6 ← divide both sides by (4 + a - 2b)
x = [tex]\frac{6}{4+a-2b}[/tex]
Solve the equation 1.2x = 5.16 for x
Answer:
x = 4.3
Step-by-step explanation:
Lets solve!
1.2(x) = 5.16
Divide both sides by 1.2 to get
x = 4.3
Answer:x=4.3
Step-by-step explanation:
Step 1: Divide both sides by 1.2
1.2x/1.2=5.16/1.2
X=4.3
z-6=15 what does z equal
Answer:
z = 21
Step-by-step explanation:
z-6=15
z = 15 + 6
z = 21
hope it helps!
Answer:
z=21
Step-by-step explanation:
z-6=15
add 6 on both side
-6+6=0
6+15=21
z=21
please find the kissing number
1,5,25,125,624,????
Answer:
The answer is 3125 and I suppose that 624 is meant to be 625
Answer:
The next number should be 3,125
Step-by-step explanation:
1*5=5
5x5=25
25x5=125
125x5=625
625x5= 3,125
A rectangular painting has a length of 8 inches and an unknown width, w. The area of the painting is less than 64 square inches. Which inequality represents the possible values of w? w less-than 8 w greater-than 8 w greater-than 56 w less-than 56
Answer:
i think is b
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
i dont know sorry:(
PLZ PLZ HELP ASAP WILL GIVE BRAINLEIST
Answer:
Sure thing! Volume is length times width times height. It does not matter what order you put the numbers in, though
Step-by-step explanation:
1 is 0.6666666666666666666666666666 infinity
2 is 0.421875
4 is 0.3
5 is 1.3125.
please mark brainliest!!
Answer:
Step-by-step explanation:
1. 1/6 feet
2. 27/64 yards
4. 3/10 inches
5. 21/16 cm
hope this helped you!!
Help!!! I need to turn in in 10 minutes
Answer:
C. If the radius decreases, then the height must decrease
Answer:
There is no change
Step-by-step explanation:
Though the radius and height are perpendicular to one another, there is no actual relationship between their lengths.
At least that is what my math teacher tells me. So if it's wrong please blame her and not me.
Simplify the expression –3 2 . A. 9 B. 6 C. –6 D. –9
Answer:
see below
Step-by-step explanation:
(-3) ^2
(-3)*(-3)
A negative times a negative
9
If the problem is
- (3) ^2
- (3*3)
- 9
To solve -6x + 4 = -20, what steps would you perform?
A.) subtract 4
b.) add 4
C.) divide 4
D.) multiply four
next
A.)divide-6
B.)add -6
C.)multiply -6
D.) subtract -6
Answer:
I think they are both wrong
The correct way to solve it is this.
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
[tex]-6x+4-4=-20-4[/tex]
[tex]-6x=-24[/tex]
Step 2: Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{-24}{-6}[/tex][tex]x=4[/tex]
Answer:
x=4
I hope to help you!!!!
First step is subtract 4 and next option is divided (-6)
So,From first part option A is the correct answer and from next part option A is the correct answer.
What steps would we perform?
This is a problem of equation part of Algebra.
Some important Algebra formulas.
(a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab − b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³
a³ + b³ = (a + b)³ − 3ab(a + b)
a³ - b³ = (a -b)³ + 3ab(a - b)
a² − b² = (a + b)(a − b)
a² + b² = (a + b)² − 2ab
a² + b² = (a − b)² + 2ab
a³ − b³ = (a − b)(a² + ab + b²)
a³ + b³ = (a + b)(a² − ab + b²)
Here given, equation is [tex] - 6x + 4 = - 20[/tex]
Now,
-6x + 4 = -20
First we are separating variable and constant part.
So first we subtracting 4 from (-20) and get
[tex] - 6x = - 20 - 4[/tex]
or,[tex] - 6x = - 24[/tex]
Now (-24) is dividing by (-6) and get,
[tex]x = \frac{ - 24}{ - 6} \\ x = 4[/tex]
So, value of x is 4.
Equation related one more question:
https://brainly.com/question/10413253
#SPJ2
Can you make 142? Numbers given: 2,9,1,7,2,7,5 Using any combination the numbers above and any operations, get the total to be 142. You need to give me at least 4 different ways. You also need to show me how you know your answer is correct. Only one answer can only use two steps, all the rest must have at least three steps. You have to attempt more than just one operation.
Answer:
1) 2 × 2 × 5 × 7 + 9 -7×1 = 142
2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142
3) 2 × 9² - 7 - 7 - 5 - 1 = 142
4) 2 × 7² + 9 + 7 × 5 × 1 = 142
Step-by-step explanation:
1) 2 × 2 × 5 × 7 + 9 -7×1 = 142
Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1
2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142
Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1
3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142
Multiply 2 by 9 raised to the power of 2 then subtract the sum of 7, 7, 5 and 1
4) 2 × 7² + 9 + 7 × 5 × 1 = 142
Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.
If you borrow $952 at 9% compound quarterly for four years, how much will you pay back by the end of the year
Answer:
23.69 per month
Step-by-step explanation:
Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6 sandwiches. Write an equation to determine how many ounces of cheese, c, Noah can use on each sandwich.
Answer:
24/6=c
Step-by-step explanation:
Well to split 24 you need to divide by 6 and that will equal the answer. An equation always has a equal sign so you know that you would be solving for c
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp due
Answer: I think it is B
What’s the BLM hashtag and why does it affect our society
Answer:
The BLM or Black lifes matter is a movements that started with the murther or death of a African american person some days ago
Step-by-step explanation:
At an office store, pens are sold by the box with 15 pens per box. The store has 232 boxes to sell. How many pens does the store have to sell? Enter your answer in the box.
Answer:
1 box contain 15pens
232 boxes contain x pen
to find x we wil cross multiply
1box = 15pen
232 boxes = x pen
x pen = 232 * 15
= 3480 pens
Hence , office have to sell 3480 pens
Step-by-step explanation:
1 box contain 15pens
232 boxes contain x pen
to find x we wil cross multiply
1box = 15pen
232 boxes = x pen
x pen = 232 * 15
= 3480 pens
Hence , office have to sell 3480 pens
Lucy have $6400 if she invests
$1200 at 15% interest
compounded quarterly?
Answer:
11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
6400 = 1200(1 +0.15/4)^(4t)
16/3 = 1.0375^(4t) . . . . divide by 1200
log(16/3) = 4t·log(1.0375) . . . . take logarithms
t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.
n/10.7=3.2
PLEASE HELP!
Answer:
n=34.24
Step-by-step explanation:
solve for n by simplifying both sides of the equation, then isolating the variable
Step-by-step explanation:
Hope this helps you
Ahhh.. Okay now it's long enough