Answer:
3.5 feet
Step-by-step explanation:
Diameter = 7 feet
Radius = Diameter × [tex]\frac{1}{2}[/tex]
Radius = [tex]\frac{7}{2}[/tex] = 3.5 feet
estimate the square root of 27 to the nearest whole number
show how you got the answer
Final answer:
To estimate the square root of 27, find the two nearest perfect squares which are 25 (5 squared) and 36 (6 squared). Since 27 is closer to 25, the square root of 27 is estimated to be 5.
Explanation:
To estimate the square root of 27 to the nearest whole number, we should look for two consecutive perfect squares between which 27 lies. The perfect squares closest to 27 are 25 (which is 5 squared) and 36 (which is 6 squared). The square root of 25 is 5 and the square root of 36 is 6. Since 27 is closer to 25 than to 36, we estimate that the square root of 27 is closer to 5. But, because 27 is more than 25, we know it must be slightly greater than 5, so the nearest whole number would be 5.
Simplify the expression x^3+125/x+5 and then evaluate the resulting expression of x=-5
Answer:
[tex]-145[/tex]
Step-by-step explanation:
Step 1: Set x to -5
[tex]x^3+125/x+5[/tex]
[tex](-5)^3 + 125/-5 + 5[/tex]
[tex]-125 - 25 + 5[/tex]
[tex]-145[/tex]
Answer: [tex]-145[/tex]
What is the volume of the figure
Answer:
96 cubic cm.
Step-by-step explanation:
Area= Length*Width*Height
Area= 6*4*4
Area= 96
Answer:
D
Step-by-step explanation:
Because Volume = length x width x height
4 x 4 x 6=
16 x 6
96
Can anyone answer this like really quickly I’m being timed
Answer:
48%
Step-by-step explanation:
12 = 48
25 100
Answer:
Step-by-step explanation:
i dont know the answer but how to solve is by adding up all the numbers and dividing by 12
Dante bought a new graduated cylinder for his chemistry class. It holds 662.7 milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm
Given:
Dante bought a new graduated cylinder for his chemistry class.
Volume of the cylinder = 662.7π milliliters of liquid
Converting to cubic centimeter, we get;
Volume of the cylinder = 662.7π cm³
Radius of the cylinder = 4.7 cm
We need to determine the height of the cylinder.
Height of the cylinder:
The height of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
Substituting the values, we have;
[tex]662.7 \pi=\pi (4.7)^2h[/tex]
[tex]662.7 \pi=\pi (22.09)h[/tex]
Dividing both sides by 22.09π, we get;
[tex]30=h[/tex]
Therefore, the height of the cylinder is 30 cm.
Hence, Option C is the correct answer.
The calculated height of the graduated cylinder is approximately 30 cm, which is option C.
To determine how tall Dante's graduated cylinder is, given it holds 662.7π milliliters (mL) of liquid, we should use the formula for the volume of a cylinder, V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height.
Since 1 milliliter is equivalent to 1 cubic centimeter (cm³), we have V = 662.7π cm³, and the radius 'r' is given as 4.7 cm. Inserting these values into the formula and solving for 'h' gives us:
V = πr²h
662.7π cm³ = π × (4.7 cm)² × h
662.7π cm³ = π × (22.09 cm²) × h
662.7π cm³ = 22.09π × h
h = 662.7 cm³ /22.09
h ≈ 30cm
Therefore, the height of the cylinder is approximately option c. 30 cm.
The above question is incomplete, the complete question is:
Dante bought a new graduated cylinder for his chemistry class. It holds 662.7π milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The rest of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?
Answer:
1/15 of their time is free time.
Step-by-step explanation:
To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.
So to add all the fractions, you have the equation:
1/4 + 3/5 + 1/12
The first thing we have to do is to find a common denominator.
4, 5, and 12 are each able to multiply into 60.
So we can make the equation now with a common denominator.
15/60+36/60+5/60=56/60.
We now can simplfy this.
56/60=14/15
Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:
1-14/15=1/15
So 1/15 of their time is free time.
The total time spent is 14/15 and the free time is 1/15 if students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1/12 studying
Add all the fractions:
= 1/4 + 3/5 + 1/12
= 14/15
Free time = 1 - 14/15
= 1/15
Thus, the total time spent is 14/15 and the free time is 1/15 if students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying.
Learn more about the fraction here:
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The Deep Creek State Forest is a 380-acre state forest located 11 miles north of St. Augustine, Florida. The cottontail rabbit population in this forest grows at the rate of 5% monthly. If there are 175 rabbits in forest in September, find how many rabbits should be expected by next September. Use the formula: y=175(2.7)0.05t y = 175 ( 2 . 7 ) 0 . 05 t . Round your answer to the nearest whole number. The cottontail rabbit population next September is expected to be rabbits. (Round your answer to the nearest whole number)
Answer:
By next September, the estimated population would be 284 cottontail rabbits
Step-by-step explanation:
The formula that express the growth of the rabbits is
Y = 175(2.7)0.05t
Y = number of rabbits
Where t = time in months.
The growth of the rabbits in 12 months would be. Since from one September to another equal 1 year which is 12 months.
Y = 175(2.7)0.05(12)
Y = 283.5 = 284 rabbits
The estimated population of cottontail rabbits by next September is 284 rabbits
If a triangle has one angle that measures 62.5o and another angle that measures 77o , then what is the measurement of the last angle?
Answer:
40.5 degrees
Step-by-step explanation:
A triangle's angles all add up to 180 degrees, so to solve this all you need to do is add the two numbers you have and subtract them from 180.
62.5+77+x=180
139.5+x=180
-139.5 -139.5
x=40.5
To find the measurement of the last angle in a triangle, subtract the sum of the known angle measurements from 180 degrees. Given angles of 62.5° and 77°, the measurement of the last angle is 40.5°.
The question involves finding the measurement of the last angle in a triangle given the measurements of the other two angles. In Euclidean geometry, it is established that the sum of the angles in a triangle equals 180 degrees. Given that one angle measures 62.5° and another measures 77°, we can find the last angle by subtracting the sum of these two angles from 180 degrees.
Step 1: Add the measurements of the two known angles: 62.5° + 77° = 139.5°.
Step 2: Subtract this sum from 180°: 180° - 139.5° = 40.5°.
Therefore, the measurement of the last angle in the triangle is 40.5°.
Rewrite as a simplified fraction.
0.2 = ?
Answer:
1/5
Step-by-step explanation:
When changing a decimal to a fraction, think of the decimal "out of 1." In mathematical terms, "out of" generally means division.
For example on this question, think of 0.2 as 0.2 out of 1, which would be shown as 0.2/1
To more easily simplify this, multiply both the top and bottom by 10
0.2/1 x 10/10
You are able to do this because 10/10 is equal to 1 and multiplying by a number and 1 results in the same number.
Then you get 2 /10 . Both 2 and 10 are divisible by 2
2 /2 = 1 and 10 /2 = 5
So the final answer is 1/5
how to determine the rate of change by looking at graph?
The shape on the left is transformed to the shape on the right. Which of the following statements describes the transformation?
A. MNOP → M'N'O'P'
B. M'N'O'P' → MNOP
C. P'O'M'N' → MOPN
D. MNOP → O'P'M'N'
The shown transformation is described by the statement:
MNOP → M'N'O'P'
So the correct option is A.
How to define a transformation?
Here we have a transformation that enlarges and rotates our original rectangle, with vertices M, N, O, and P.
Transformations do not act only on figures, they act on every point on the plane, so we could apply the same transformation to each one of the vertices, in such a way, we will get:
M → M'N → N'O → O'P → P'.Writing all of these together, we just get:
MNOP → M'N'O'P'
So the correct option is A.
If you want to learn more about transformations, you can read:
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Not yet answered Marked out of 100 Flag question
Find the volume of a rectangular prism 3 inches high, 14 inches wide, and 9
inches long,
combining like terms
-7r-9+8+5r
show how you got the answer
Answer:
-2r - 1
Step-by-step explanation:
The like terms here are -7r and 5r,
The like terms for constants are -9 and 8
so add -7r + 5r = -2r
and add -9 + 8 = -1
The value Of a painting begins at $12,000 and increases by $500 per year write an equation representing the value V of the painting at the end of any given year y.
The graph below shows the relationship between the number of rides someone can ride and the total cost for three different amusement parks. Write and equation for Busters.
The correct interpretation is that the slope of the line is indeed 15, indicating that the cost of one admission ticket is $15, and point (1, 15) represents the unit rate.
The correct answer is option B.
The given graph illustrates the relationship between the number of people in a group and the cost of admission tickets. The statement correctly identifies that the slope of the line on this graph represents the unit rate of admission tickets.
The slope of a line on a graph signifies the rate of change between the two variables involved. In this context, the horizontal axis (x-axis) represents the number of people in a group, while the vertical axis (y-axis) represents the cost of admission tickets.
To compute the slope, you select two points on the line. The statement correctly utilizes the points (0, 0) and (1, 15) for this purpose. The slope formula, which is the change in y divided by the change in x, is applied as follows:
Slope = (y2 - y1) / (x2 - x1)
In this instance, x1 = 0, y1 = 0, x2 = 1, and y2 = 15. Substituting these values into the formula yields:
Slope = (15 - 0) / (1 - 0) = 15 / 1 = 15
This signifies that for each additional person in the group, the cost of admission tickets increases by $15. Consequently, $15 represents the cost of one admission ticket, and the point (1, 15) represents the unit rate.
Therefore, the conclusion that option B is the answer is accurate.
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The question probable may be:
The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus
There are 28 seats in the front row of a theater. Each successive row contains
two more seats than the previous row. If there are 24 rows, how many seats are in the last row of the theater?
Answer:
28+2*(24-1)= 74
Answer: 74
Step-by-step explanation:
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
2012
Step-by-step explanation:
Based on the graph, you can tell that private residence needed 6000 liters of cleaner in 2012 and only 2000 in 2016
Artaud noticed that if he takes the opposite of his age and adds 38 he gets the number 27. How old is
Artaud?
Answer:
11
Step-by-step explanation:
Let his age be x then the opposite of his age is - x, then
- x + 38 = 27 ( subtract 38 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
Thus he is 11 years old
Solve 5x=125.
X=25
x=3
Answer: X = 25
Step-by-step explanation: 5 * 25 = 125
Determine the following for the transformed cosine function shown whose period is 1,080 degrees.
Frequency:
b in the equation:
Answer:
Frequency: 1/1080
b in the equation: 1/3
Step-by-step explanation:
The frequency is 1/1080 and the value of b is 1/3
How to determine the values of frequency and b?The period is given as;
T = 1080
The frequency is calculated using:
f = 1/T
So, we have:
f = 1/1080
The value of b is calculated using:
2π/b = T
This gives
2π/b = 1080
Make b the subject
b = 2π/1080
Express 2π as degrees
b = 360/1080
Divide
b = 1/3
Hence, the frequency is 1/1080 and the value of b is 1/3
Read more about cosine functions at:
https://brainly.com/question/17075439
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Meagan was given 20 math problems and she has completed 14 of them. What percentage of the problems does she have left to do?
Question 5 options:
3%
30%
70%
7%
Answer:
30%
Step-by-step explanation:
Meagan completed 14/20 math problems. 14÷20 is 0.7
So she completed 70% of those math problems. The question is How many does she have left?
So she has 30% left to complete.
Is the answer -165° -125° 125° or 165° pleas help quickly
Answer:
125
Step-by-step explanation:
mark me brainliest pls? brainliest for brainliest
Answer:
165 I just did it
Step-by-step explanation:
A line passes through the point
Answer:
Step-by-step explanation:
y + 20 = 3(x + 4)
y + 20 = 3x + 12
y = 3x - 8
answer is b
Barry answered 32 out of 40 questions correctly on his math test. what percent of the questions did he get correct
Answer:it would be 80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Divide 32/40
you get .80
multiply .80 by 100
Can somebody help me
Answer:
B
Step-by-step explanation:
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Answer:
the answer is b and e
Step-by-step explanation:
Answer:
B and E
Step-by-step explanation:
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Find the area of the circle below
You can find the area of a circle by using this formula:
[tex]y = \pi r^2[/tex]
Knowing that a circle's diameter is double its radius, we know that the radius of this circle is 12.5 yards. Substitute this for r in the equation to find the area:
[tex]y = \pi *12.5^2\\y=156.25*\pi \\y=490.87[/tex]
Answer:
The area of the circle is 490.8738521 yards or if your rounding 490.87 yards.
Step-by-step explanation:
Area of circle = πr²
r = half of diameter
r = 25 ÷ 2
r = 12.5
A = π(12.5)²
A = π(156.25)
A = 490.8738521
A ≈ 490.87 yards
Hope I helped ya.
< Sarah >
What is the sum of (6p^2+3) and (6-5p^3+3p^2)
the sum of (6p^2+3) and (6-5p^3+3p^2) is
[tex](6p^2+3)+(6-5p^3+3p^2)= 6p^2+3+6-5p^3+3p^2=-5p^3+9p^2+9[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
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Answer:
9 P ^ 2 + 9 - 5 p ^ 3
Step-by-step explanation:
6p^ 2 + 3 + 6 - 5p ^ 3 + 3p ^ 2
(2+76+1+9)+4-3x9
Hi I’m doing homework right now and I don’t really get order of operations.
Answer:
65
Step-by-step explanation:
You should follow the PEMDAS rule. You first solve what is in the parenthesis, followed by the multiplication and division, then addition or subtraction. However depending on your equation you can switch the order of addition and subtraction
Answer:
65
Step-by-step explanation:
(2+76+1+9)+4-3x9
Parentheses first
(2+76+1+9)
88
Replace it in the equation
88+4-3x9
The exponents (we dont have any)
The multiply and divide
88+4-27
Then add and subtract
65
Started at 15 degrees and dropped 1/2 degrees each minute
Answer:
7.5 should be the answer sorry if its wrong i don't have all of the information