what is the approximate diameter a sphere with a volume of 268 cm ^3
Answers
By formula,
\(V=\frac{4\pi r^3}{3}\)Cross multiply, we get,
\(\begin{gathered} 4\pi r^3=3V \\ r^3=\text{ }\frac{3V}{4\pi}=\frac{3(268)(7)}{4(22)}=63.955 \\ \\ r=\sqrt[3]{63.955} \\ r=3.999\approx4\operatorname{cm} \end{gathered}\)Related Questions
find the value of x in the figure given then find the measure of angle y
Answers
Answer:
x = 33
Angle Y = 105°
Explanation:
The sum of the interior angles of a polygon with 5 sides is equal to 540°. So, we can write the following equation:
4x + 113 + (3x+8) + (2x + 9) + 113 = 540
So, solving for x, we get:
4x + 113 + 3x + 8 + 2x + 9 + 113 = 540
9x + 243 = 540
9x + 243 - 243 = 540 - 243
9x = 297
9x/9 = 297/9
x = 33
Then, using the value of x, we can calculate the value of the angle with measure (2x + 9) as:
(2x + 9) = 2(33) + 9
(2x + 9) = 75
Finally, this angle and the angle Y are supplementary, the sum of them is equal to 180°, so the measure of angle Y can be calculated as:
(2x + 9) + Y = 180°
75° + Y = 180°
Y = 180° - 75°
Y = 105°
So, x is equal to 33 and the measure of angle Y is 105°
Please help and show work
Answers
Answer:
0.75x
Step-by-step explanation:
Theres not much to show. It says that you buy x bags of chips for $0.75. So how I got 0.75x is because you have to multiply 0.75 x times to get your answer,but here they just want you to write an equation with out solving it.
Which side lengths form a right triangle?
Answers
Answer:
Answer:\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ \) Pythagoras law:h²=p²+b²
needed to apply
4²+8²=12²
80≠144 not a right angled triangle
again
2²+√5²=3²
9=9/
side are a right angled triangle
again
2²+2²=(√8)²
4+4=8
8=8
side are a right angled triangle
why 13/4hr and 4hr are equal ?
Answers
Answer:
they are not equal
Step-by-step explanation:
13/4 hour is 3hour and 15 minutes
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answers
Answer:
224
Step-by-step explanation:
360.-136.
5.2, 5.2, 4.7, 5.4, 3.9, 3.5, 4.1, 4.2, 5.4, 4.7, 4.8, 4.2, 4.6, 5.1, 3.8, 3.9, 4.6, 5.1, 3.6, 4.6, 4.3, 3.4, 4.9, 4.2, 4.0
A manufacturer of pencils randomly selects 25 pencils and measures their length (in inches). Their data is shown. Create a frequency distribution with 6 classes and a class width of 0.4 inches. What is the shape of the frequency histogram?
The histogram is bimodal.
The histogram is roughly symmetrical.
The histogram is skewed right.
The histogram is uniform.
The histogram is skewed left.
Answers
Answer:
A) The histogram is bimodal.
Answer:
To create a frequency distribution, we first need to determine the range of the data. The smallest measurement is 3.4 inches and the largest is 5.4 inches, so the range is 5.4 - 3.4 = 2 inches. To create 6 classes with a width of 0.4 inches, we divide the range by 0.4 and round up to the nearest integer:
Number of classes = (range / class width) rounded up = 2 / 0.4 = 5
So we will use 5 classes with a width of 0.4 inches each. The classes and their corresponding frequency counts are:
Class 1: 3.4 - 3.8 | Frequency: 3
Class 2: 3.9 - 4.3 | Frequency: 8
Class 3: 4.4 - 4.8 | Frequency: 6
Class 4: 4.9 - 5.3 | Frequency: 7
Class 5: 5.4 - 5.8 | Frequency: 1
To create a histogram, we can plot the frequency counts on the y-axis and the class intervals on the x-axis. The shape of the histogram can give us information about the distribution of the data. In this case, the histogram is bimodal, meaning there are two peaks in the data. This suggests that the data may be composed of two separate subpopulations.
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
Answers
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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What is the product of -2/7 and -3/7 ?
Answers
Answer:
6/49
Step-by-step explanation:
-2/7 * -3/7 = (-2 * -3) / (7*7) = 6/49
Bismark Tractor put a markup of 26% on cost on a part for which it paid $450. Find the markup
Answers
Let's call the markup as x. The markup is the difference in cost between your selling price and the amount you spent to make your product. Bismark Tractor put a markup of 26% on cost, which means that the selling price was 26% more than the cost price. Since he paid $450 for the part, this gives to us the following equation
\(450+x=(1+0.26)\cdot450\)Solving it for x, we have
\(\begin{gathered} 450+x=(1+0.26)\cdot450 \\ 450+x=1.26\cdot450 \\ x=1.26\cdot450-450 \\ x=0.26\cdot450 \\ x=117 \end{gathered}\)The markup was $117.
smalles of 3 .3 .33 .333
Answers
0.3 is the lowest possible value
PLS HELP getting timed
Answers
4x+5x-3=180
9x=183
x=20.34 (approximately)
AD=4x
4(20.34)=81.36
Answer: 81.36
*remember, straight lines always equal 180
A girl is given 500 stamps to start a collection . If she adds 5 stamps a week , how many will she have at the end of n weeks ?
Answers
Answer:
T=(5×n)+500
Step-by-step explanation:
T=Total Stamps
In this case, there is no need to find the answer. All you need is the equation. N would be the multiplier in this case because it's the one that's changing since you're using a variable. If 3 weeks were to pass, then N would equal 3 weeks.
Which ordered pairs make the inequality true?
x+3y<9
Select each correct answer.
(5,1)
(1,3)
(−2,3)
(−1,4)
Answers
Answer:
The ordered pairs (-2,3) and (5,1) make the inequality true.
Step-by-step explanation:
How can areas of composite 2-D figures be found using simple 2-D shapes?
Answers
Answer:
hmm length x breadth... I'd simple formula
Use the method of Gauss to find the sum.
1+2+3+. . .
Answers
Answer:1 +2+3 +4
Step-by-step explanation:
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many
solutions, which statement must be true?
A) On the graph, there are no points (z, y) that satisfy both equations.
B) On the graph, there is exactly one point (z,y) that satisfies both the equations.
C) On the graph, any point (z,y) that satisfies one of the equations cannot satisfy the other equation.
D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.
Answers
Lines r and s are perpendicular and intersect at point k ray kt is drawn forming angles 1 and 2 if angle 1 is 4x-12 and angle 2 equals 3x -8 what is angle 1 to nearest 10th
Answers
The measure of angle 1 to the nearest tenth is 50.9 degrees
Since the line r and s are perpendicular, hence the sum of the angle m<RKT and m<SKT is 90 degrees.
Given the following parameters
m<RKT = m<1 = 4x - 12
m<SKT = m<2 = 3x - 8
Taking the sum of the angle and equating it to 90degrees, hence;
m<RKT +m<SKT = 90
4x - 12 + 3x - 8 = 90
7x = 90 + 20
7x = 110
x = 110/7
x = 15.71
Get the measure of angle 1
m<1 = 4x - 12
m<1 = 4(15.71) - 12
m<1 = 50.9 degrees
Hence the measure of angle 1 to the nearest tenth is 50.9 degrees
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Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
4
4√2 8
8√2
12 4√3 8√3
60°
4√3
30°
Answers
The missing side lengths for triangle ABC are 4, 4√3, and 8.
Based on the given information, it seems that the triangle is a right-angled triangle with angles of 30°, 60°, and 90°. Let's find the missing side lengths for triangle ABC using the given lengths and angles.
Identify the triangle type.
Since we have angles of 30°, 60°, and 90°, we are working with a 30-60-90 right-angled triangle.
Determine the ratio of side lengths.
In a 30-60-90 triangle, the ratio of the sides is 1:√3:2.
Find the corresponding side lengths.
Using the given lengths and the 1:√3:2 ratio, we can determine the side lengths for triangle ABC:
- If the shortest side (opposite the 30° angle) is 4, then the other sides would be 4√3 (opposite the 60° angle) and 8 (hypotenuse, opposite the 90° angle).
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A map has a scale of 1 cm : 275 miles. On the map, the distance between two towns is 3 cm. What is the actual distance between the two towns ?
Answers
Answer:
825 miles
Step-by-step explanation:
275 x 3 = 825
Helping in the name of Jesus.
Rewrite in simplest terms: -2(3g-8g+8)-9g−2(3g−8g+8)−9g
Answers
Answer: 2g - 32
Step-by-step explanation:
-2 (3g - 8g + 8) - 9g - 2 (3g - 8g + 8) - 9g
First step is to use the distributive property to distribute 2.
The expression is now:
-6g + 16g - 16 - 9g - 6g + 16g - 16 - 9g
Now you put the like terms together..
-6g + 16g - 9g - 6g + 16g - 9g -16 - 16
All that is left to do is combine them!
(-6g + 16g - 9g - 6g + 16g - 9g) + (-16 - 16)
2g + (-32)
2g - 32
Hope that helped!
A local fish fry fundraiser served 300 people and charged $9 for adults and
$5.50 for children. Use x to represent the number of adults served and write an
expression to show how much money was raised. Then simplify the expression.
Answers
Answer:
3.5x + 1650Step-by-step explanation:
Number of people served = 300Charge for adults = $9Charge for children = $5.50Number of adults = xNumber of children = 300 - xMoney raised:
9x + 5.5(300 - x) = 9x - 5.5x + 1650 =3.5x + 16505. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
Answers
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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NO LINKS PLS AND IF U DON'T KNOW KNOW THE ANSWER THEN DON'T ANSWER PLEASEJavin cuts a block of wood along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 2 in 3 in 4 in A. A rectangle, 4 inches by 3 inches O B. A rectangle, 4 inches by 2 inches C. A square, 2 inches by 2 inches D. A rectangle, 2 inches by 3 inches
Answers
Answer:
4 inches by 3 inches. It should actually be 10 inches by 6 but its not on there.
The slope of the line is ?
Answers
Answer:
slope= 4,
Step-by-step explanation:
y = 4x-6
PLEASE HELP!! BEST ANSWER WILL BE MARKED BRAINIEST! The stadium is at (-2,3) and the high schools (1,8). What is the shortest driving distance (in blocks) between these two locations? Can you figure this out without looking a the grid
Answers
Answer:
Shortest distance is 5 blocks.
Answer:
5.8
Step-by-step explanation:
I'm not 100% on this as the decimal in the answer makes me doubt myself. Here's the explanation anyways
John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Diameter of 24
76 in
75.4 in
38
37.7
Answers
Answer:
75.4
Step-by-step explanation:
Diameter * pi = circumference.
Find UV.
V
U
1
UV =
63°
W
Write your answer as an integer or as a
decimal rounded to the nearest tenth.
Answers
The length of UV, considering the trigonometric ratios, is given as follows:
UV = 5.8 units.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.Segment UV is the hypotenuse of a right triangle, in which the side opposite to the angle of 59º has a length of 5 units, hence the length of UV is obtained as follows:
sin(59º) = 5/UV
UV = 5/sine of 59 degrees
UV = 5.8 units.
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A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?
Answers
Answer:
56 hardwood 80 pine bark
Step-by-step explanation:
H = hardwood B= pine bark
B +H = 136
B = (136-H)
4.25 H + 3.75 (136-H) = 538
4.25H + 510 - 3.75H = 538
0.5 H = 28
1H = 56 (56 Hardwood)
136-56= 80
56x 4.25 + 80 x 3.75 = 538
$238 + $300 = $538
Question 2 of 5
Type the correct answer in the box. Use numerals instead of words.
For this item, a non-Integer answer should be entered as a fraction using/as the fraction bar.
Simplify the numerical expression.
1 + 24 + ( + 3) = 1
The expression has a value equal to ???
Answers
Answer:
27
Step-by-step explanation:
Given expression :
1 + 24 + ( + 3) = 1
Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.
1 + 24 + ( + 3) - 1 = 0
Now, opening the bracket, we get
1 + 24 + 3 - 1 = 0
Negative 1 and positive 1 will get cancel
24 + 3 = 0
or 27
Therefore, the value of the numerical expression 1 + 24 + ( + 3) = 1 is 27.
Write a numerical expression for
The sum of nine and the quantity four times two
Answers
Answer:
9 + (4x2)
Step-by-step explanation:
Sum of 9 = 9 +
4 times 2 = (4x2)