Answer:
A)
62/3 = 20.67 hours
B)
60 hours
C)
2074.29 miles
Step-by-step explanation:
If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.
A)
In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;
(24/360) = (x/310)
solving for x;
x = (24/360) * 310 = 62/3 = 20.67 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;
(24/2π radians) = (x/5π radians)
Solving for x;
x = (24/2π radians)*5π radians = 60 hours
C)
If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;
circumference = 2*π*R = π*D
= 7920π miles
Therefore, the speed of the earth is approximately;
(7920π miles)/(24 hours) = 330π miles/hr
The distance covered by a point in 2 hours will thus be;
330π * 2 = 660π miles = 2074.29 miles
Answer:
Part A). In 20 hr 24 minutes earth rotate 310°.
Part B). In 19 hr 6 minutes earth rotate 5 radians
Part C). 2072.4 miles point on equator rotates in 2 hours.
Step-by-step explanation:
Degree that earth rotate in 24 hour = 360°
Number of radian that earth rotate in 24 hour = 2π radian
Part A).
Time taken to rotate 360° = 24 hours
Time taken to rotate 1° = [tex]\frac{24}{360}=\frac{1}{15}\,hours[/tex]
Time taken to rotate 310° = [tex]310\times\frac{1}{15}=20\frac{2}{5}=20\,hr\:24\,minutes[/tex]
Part B).
Time taken to rotate 2π radian = 24 hours
Time taken to rotate 1 radian = [tex]\frac{24}{2\pi}=\frac{12}{\pi}\,hours[/tex]
Time taken to rotate 5 radian = [tex]5\times\frac{12}{\pi}=\frac{60}{\pi}=19.1\.hr=19\,hr\:6\,minutes[/tex]
Part C).
Diameter of Earth = 7920 miles
Radius of earth, r = 3960 miles
Degree of rotation in 1 hours = [tex]\frac{360}{24}=15^{\circ}[/tex]
Degree of rotation in 2 hours , [tex\theta[/tex] = 15 × 2 = 30°
Length of the arc for angle 30° of circle with radius 3960 miles = Distance covered by point in 2 hours.
Length of the arc = [tex]\frac{\theta}{360^{\circ}}\times2\pi r=\frac{30}{360}\times2\times3.14\times3960=2072.4\:miles[/tex]
Therefore, Part A). In 20 hr 24 minutes earth rotate 310°.
Part B). In 19 hr 6 minutes earth rotate 5 radians
Part C). 2072.4 miles point on equator rotates in 2 hours.
choose two correct answers
the expressions equivalent to [tex]\(k - \frac{k}{2}\)[/tex] are:
- Option C: [tex]\(\frac{1}{2}k\)[/tex]
- Option D: [tex]\(k + 2\)[/tex]
The correct option is (C) and (D).
the calculation step by step to find expressions equivalent to [tex]\(k - \frac{k}{2}\):[/tex]
1. Given Expression:
[tex]\[ k - \frac{k}{2} \][/tex]
2. Step 1: Find a Common Denominator:
To combine the fractions, we need a common denominator. The common denominator for \(2\) and \(1\) is \(2\). So, let's rewrite the expression:
[tex]\[ k - \frac{k}{2} = \frac{2k}{2} - \frac{k}{2} \][/tex]
3. Step 2: Subtract the Fractions:
Subtract the numerators while keeping the common denominator:
[tex]\[ \frac{2k - k}{2} = \frac{k}{2} \][/tex]
4. Step 3: Simplify:
Divide the numerator by (2):
[tex]\[ \frac{k}{2} = \frac{1}{2}k \][/tex]
Therefore, the expressions equivalent to [tex]\(k - \frac{k}{2}\)[/tex] are:
- Option C: [tex]\(\frac{1}{2}k\)[/tex]
- Option D: [tex]\(k + 2\)[/tex]
Find the equation in standard form of the line parallel to y=-1/5x+7 and passing through the point (-10,-3)
Answer:
the desired equation is y = (-1/5)x - 5.
Step-by-step explanation:
Parallel lines have the same slope. Here that slope is -1/5.
Let's use the slope-intercept form of the equation of a straight line:
y = mx + b
We know this new line passes through (-10, -3). Substitute -3 for y in y = mx + b, as well as -10 for x and -1/5 for m:
-3 = (-1/5)(-10) + b and solve for b:
-3 = 2 + b. Then b = -5, and the desired equation is y = (-1/5)x - 5.
Approximately how many accidents occurred between 1965 and 1970 inclusive?
Answer:
About 1,800 accidents
Step-by-step explanation:
Observing the attached figure
In 1965 ----> Approximately 260 accidents
In 1966 ----> Approximately 325 accidents
In 1967 ----> Approximately 300 accidents
In 1968 ----> Approximately 350 accidents
In 1969 ----> Approximately 360 accidents
In 1970 ----> Approximately 400 accidents
Total------> Approximately 1.920 accidents
Calculate the distance between (4,9) and (-2,6) using the distance formula.
Answer:
[tex]\large\boxed{d=3\sqrt5}[/tex]
Step-by-step explanation:
[tex]\text{the formula of a distance between two points}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2):\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=========================\\\\\text{We have}\ (4,\ 9)\ \text{and}\ (-2,\ 6).\ \text{Substitute:}\\\\d=\sqrt{(-2-4)^2+(6-9)^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36+9}=\sqrt{45}\\\\\sqrt{45}=\sqrt{9\cdot5}=\sqrt9\cdot\sqrt5=3\sqrt5[/tex]
The distance between the points (4, 9) and (-2, 6) is approximately 6.71 units.
Identify the coordinates:
Let (x₁, y₁) = (4, 9) and (x₂, y₂) = (-2, 6).
Apply the distance formula:
The distance formula is given by:
d=√[tex]\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} )^{2} }[/tex]
Substitute the coordinates into the formula:
d= [tex]\sqrt{((-2)-4)^{2} +(6-9)^{2} }[/tex]²
Simplify the terms inside the square root:
d=[tex]\sqrt{(-6)^{2} +(-3)^{2} }[/tex]
d=[tex]\sqrt{36+9}[/tex]
d=[tex]\sqrt{45}[/tex]
Simplifying further, we get:
d≈6.71
18. Recall that 0°C = 32°F and 100°C = 212°F.
a. Using x for degrees Celsius and y for degrees Fahrenheit, find
an equation of the line passing through (0, 32) and (100, 212).
b. What is the slope of the line? Explain what the slope means in
terms of degrees Celsius and degrees Fahrenheit.
c. What is the y-intercept of the line? Explain what the y-intercept
means in terms of degrees Celsius and degrees Fahrenheit.
Answer:
Part a) The equation of the line is
[tex]y-32=1.8(x-0)[/tex] or [tex]y=1.8x+32[/tex]
Part b) The slope of the line is [tex]m=1.8\frac{\°F}{\°C}[/tex]
Part c) The y-intercept is 32 (For a degrees Celsius equal to zero, the degrees Fahrenheit is equal to 32)
Step-by-step explanation:
Let
x ----> degrees Celsius
y ----> degrees Fahrenheit
we have the points
[tex](0,32),(100,212)[/tex]
Part a) Find the equation of the line
Find the slope m
[tex]m=(212-32)/(100-0)[/tex]
[tex]m=180/100[/tex]
[tex]m=1.8\frac{\°F}{\°C}[/tex]
The equation of the line into slope point form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1.8\frac{\°F}{\°C}[/tex]
Point [tex](0,32)[/tex]
substitute
[tex]y-32=1.8(x-0)[/tex] ----> equation of the line into slope point form
[tex]y=1.8x+32[/tex] ---> equation of the line into slope intercept form
Part b) What is the slope of the line?
The slope of the line is [tex]m=1.8\frac{\°F}{\°C}[/tex]
That means
The rate of change of the temperature is 1.8 degrees Fahrenheit by each degree Celsius
Part c) What is the y-intercept of the line?
we have
[tex]y=1.8x+32[/tex] ---> equation of the line into slope intercept form
The y-intercept is 32
The y-intercept is the value of y when the value of x is equal to zero
That means
For a degrees Celsius equal to zero, the degrees Fahrenheit is equal to 32
What is the volume of a cylinder that has a diameter of 22km and a height of 7km
The volume of a cylinder with a given diameter and height using the formula V = πr²h is equal to 8471π km³.
The volume of the cylinder can be calculated using the formula for the volume of a cylinder: V = πr²h.
Given a diameter of 22 km (which means a radius of 11 km) and a height of 7 km, substitute these values into the formula to find the volume.
Substitute the values into the formula:
V = π × (11 km)²×7 km
Calculate the volume:
V = 8471π km³
Therefore, the volume is 8471π km³.
The charge for a plumbing repair was $29.60 for parts, 1 1/4 hr. For labor at $56 per hr. And a $40 for the service call. What was the total cost (c) of the repair?
Answer: $139.60
Step-by-step explanation:
$40 for coming
$29.60 for parts
56 times 1.25 for labor = 70
70 + 29.6 + 40 = 139.6
The total cost (c) of the repair is given by the sum of the costs for parts, labor, and the service call that is [tex]\$139.60[/tex]
First, we calculate the labor cost. The plumber charged $56 per hour and worked for 1 1/4 hours. To find the total labor cost, we multiply the hourly rate by the time worked:
Labor cost = [tex]hourly \ rate \times \ time \ worked[/tex]
Labor cost =[tex]\$56 \times 1 1/4 hours[/tex]
Labor cost =[tex]\$56 \times (1 + 1/4) hours[/tex]
Labor cost = [tex]\$56 \times (5/4) hours[/tex]
Labor cost = [tex]\$56 \times 1.25 hours[/tex]
Labor cost = $70
Next, we add the cost for parts and the service call to the labor cost to find the total cost:
Total cost (c) = cost for parts + labor cost + service call cost
Total cost (c) = $29.60 + $70 + $40
Total cost (c) = $139.60
There were 442 students at Deerlake Middle School who voted on a theme for the spring carnival. Those who voted represent 76% of the entire student population. About how many students attend Deerlake Middle School?
A. 106
B.336
C.582
D.1842
Don't just guess. :p
Answer:
Option C is correct.
Step-by-step explanation:
Number of students of Deerlake middle school that voted = 442
Percentage of student that voted = 76%
Let x be the total number of student.
According to the Question,
[tex]\frac{76}{100}\times x=442[/tex]
[tex]x=442\times\frac{100}{76}[/tex]
[tex]x=582[/tex]
Therefore, Option C is correct.
16. Find the determinant of K.
A. 913
B. 1
C. 671
D. 597
Answer:
D. 597
Step-by-step explanation:
This question is on finding the inverse of a 3×3 matrix
The general formula of finding a 3×3 matrix is given by;
[tex]A=\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right] = a.D\left[\begin{array}{ccc}e&f&\\h&i&\\&&\end{array}\right] -b.D\left[\begin{array}{ccc}d&f&\\g&i&\\&&\end{array}\right] + c.D\left[\begin{array}{ccc}d&e&\\g&h&\\&&\end{array}\right][/tex]
where D is determinant
Given ;
[tex]k=\left[\begin{array}{ccc}14&-13&0\\3&8&-1\\-10&-2&5\end{array}\right] then ;\\\\\\\\ =14 D \left[\begin{array}{ccc}8&-1&\\-2&5&\\&&\end{array}\right] -13D\left[\begin{array}{ccc}3&-1&\\-10&5&\\&&\end{array}\right] + 0.D\left[\begin{array}{ccc}3&8&\\-10&-2&\\&&\end{array}\right][/tex]
= 14 [ 40-2] - -13[ 15-10] + 0
=14 [38] - [-65]+0
=532+65
=597
Multiply ( 3 x -5)(-x+4) applying The drifters tribute of property that expression becomes (3x )(- x )+( 3 x)( 4 )+( -5 )(-x)+(-5)(4) what is the simplified product in standard form?
For this case we must multiply the following expression:
[tex](3x-5) (- x + 4)[/tex]
We must apply distributive property, which by definition establishes that:[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
[tex](3x-5) (- x + 4) = (3x) (- x) + (3x) (4) + (- 5) (- x) + (- 5) (4) = - 3x ^ 2 + 12x + 5x-20 = -3x ^ 2 + 17x-20[/tex]
Answer:
[tex]-3x ^ 2 + 17x-20[/tex]
Which table shows a proportional relationship between x and y?
Answer:c
Step-by-step explanation:
Answer: D because they are all corresponding numbers.
Cara plants 5 seeds in 2 minutes, while Wade plants 3 times as many seeds in half the time. How many seeds can they both plant together in 10 minutes?
Answer:
together they can plant 175 seeds in 10 minutes
Answer with Step-by-step explanation:
Cara plants 5 seeds in 2 minutes.
⇒ Cara plants 5×5 seeds in 2×5 minutes
⇒ In 10 minutes Cara plant 25 seeds.
Wade plants 3 times as many seeds in half the time as Cara.
⇒ Wade plants 3×5 seeds in 2/2 minutes
i.e. Wade plants 15 seeds in 1 minute.
In 1×10 minutes Wade plants 15×10 seeds
i.e. In 10 minutes Wade plants 150 seeds.
150+25=175
Hence, they can together plant 175 seeds in 10 minutes.
What are the inequalities for:
x is less than 8 and greater than 3
x is less than 4 and greater than -2
x is greater than 12 and less than or equal to 17
Answer:
3 < x < 8
-2 < x < 4
12 < x ≤ 17
Step-by-step explanation:
x is less than 8 and greater than 3
i.e 3 < x < 8
x is less than 4 and greater than -2
i.e -2 < x < 4
x is greater than 12 and less than or equal to 17
i.e 12 < x ≤ 17
The triangle has side lengths of 25 in, 26in, and 3.5 in. Classify acute, obtuse, or right
Answer:
Obtuse triangle
Step-by-step explanation:
The longest side of the triangle is 26 in, so that will be the hypotenuse.
By an extension of the Pythagorean theorem:
Right triangle: a² + b² = c²Acute triangle: a² + b² > c²Obtuse triangle: a² + b² < c²Where a and b are the legs, and c is the hypotenuse.
Plug in: 3.5² + 25² ₙ 26²
Powers: 12.25 + 625 ₙ 676
Add: 637.25 < 676.
That means that this triangle is obtuse.
Answer:
Obtuse
Step-by-step explanation:
Using law of cosine, we can find the angle between the shorter sides:
c² = a² + b² − 2ab cos C
26² = 25² + 3.5² − 2(25)(3.5) cos C
cos C ≈ -0.221
C ≈ 102.8°
102.8° is greater than 90°, so the triangle is obtuse.
which is most likely the solution to the system of equations shown?
Answer:
The answer is G. (-2,3)
Step-by-step explanation:
The point where they meet is (-2,3), therefore that is the solution. Hope that helps! :)
What’s the smallest zero for the function h(x)=4x^2-8x-60
Answer:
-3
Step-by-step explanation:
In order to find the smallest zero, we will have to find out all the zeros of the function.
In case you are wondering what a zero is, it is the x-value or the domain intersections. The points where the parabola intersects the x-axis.
4x² - 8x - 60 = 0
Why zero?
We know that the parabola intersects the x-axis and when it does, the y-value is 0. h(x) is nothing but 'y'.
4(x²-2x-15) = 0 → I took the gcd as 4 and did it accordingly.
x² - 2x - 15 = 0 → Divide on both sides with 4
Now, what multiples to -15 but adds up to -2?
-5 and 3
x² + 3x - 5x - 15 → Grouping the terms
x ( x + 3 ) - 5 ( x + 3 ) → Taking the GCD in both groups
( x - 5 ) ( x + 3 ) = 0
x = 5 , -3
The smallest one out of these zeros is -3.
Hope it helps! :)
which of the following is the best definition of a vertical asymptote
Answer:
Step-by-step explanation:
B
Answer: Option A: A vertical line that the line of the graph aproaches but never intecepts it.
Step-by-step explanation:
An asymptote is a graph line that aproaches infinitely to something (in this case a vertical line), but it does not touch it (so never intercepts the graph).
This means that the graph aproaches but never intercepts the line, so the correct answer is A.
Write these numbers in standard notation
3.05 x 10–3
- I think if it was standard notation then it would be 3.05 * 10 = 30.5 - 3 = 27.5.
What is the circumference of a circle with a diameter of 7 inches? (use for pi) PLEASE HELP ASAP
Answer:
C = 7pi = 21.98 inches
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
where d is the diameter
C = pi * 7
If we use 3.14 as an approximation for pi
C = 3.14 * 7
C =21.98 in
Please help. I don't understand it. HELP ASAP....
Answer:
[tex]\large\boxed{x\leq-27}[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{-9}\geq3\qquad\text{change the signs}\\\\\dfrac{x}{9}\leq-3\qquad\text{multiply both sides by 9}\\\\9\!\!\!\!\diagup^1\cdot\dfrac{x}{9\!\!\!\!\diagup_1}\leq(-3)(9)\\\\x\leq-27[/tex]
Please Help! Asap! I’m on a deadline!!
Answer:
the diagonals intersect at right angle i.e. slope of AC = - 1/ slope of BD and
Midpoint of AC = Z₁ is equal to Mid point of BD = Z₂
so, the parallelogram is rhombus.
Step-by-step explanation:
A parallelogram is a rhombus if diagonals intersect each other at right angle and the diagonals intersect at mid point.
We are given vertices:
A(-3,2)
B(-2,6)
C(2,7)
D(1,3)
The diagonals of the parallelogram will be:
AC and BD.
Slope of AC = y₂ - y₁ / x₂- x₁ where A = (-3,2) and C = (2,7)
Putting values:
Slope of AC = 7-2/2-(-3) = 5/5
Slope of AC = 1
Slope of BD = y₂ - y₁ / x₂- x₁ where B = (-2,6) and D = (1,3)
Putting values:
Slope of BD = 3-(6) / 1-(-2) = -3/3
Slope of BD = -1
AS, Slope of AC = - 1/ Slope of BD
So, the diagonals intersect and right angle.
Now finding the mid point Z₁ of AC and Z₂ of BD:
Midpoint of AC = Z₁ = A+C/2
Putting values:
=(-3,2) + (2,7) / 2
= (-1,9)/2
= (-1/2, 9/2)
Mid point of BD = Z₂ = B+D / 2
Putting values:
=(-2,6) + (1,3) / 2
= (-1,9)/2
= (-1/2, 9/2)
Midpoint of AC = Z₁ is equal to Mid point of BD = Z₂ i.e.
Z₁ = Z₂, the diagonals intersect at the same midpoint.
As,
the diagonals intersect at right angle i.e. slope of AC = - 1/ slope of BD and
Midpoint of AC = Z₁ is equal to Mid point of BD = Z₂
so, the parallelogram is rhombus.
One number is 4 more than another. The difference between their squares is 128. What are the numbers?
Smaller number=___
Larger number=___
Answer:
14 and 18
Step-by-step explanation:
Small number : a
Larger number : a + 4
( a + 4 )^2 - a^2 = 128
a^2 + 8 a + 16 = 128
8 a = 128 - 16
a = 112 / 8
a = 14
And a + 4 = 18
what are the solutions to the equation x^2 + 4x+5=0
Help ASAP
Answer:
Let's solve your equation step-by-step.
x2+4x+5=0
Step 1: Use quadratic formula with a=1, b=4, c=5.
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(1)(5)
2(1)
x=
−4±√−4
2
Answer:
No real solutions.
Answer:
x=-2+-i
Step-by-step explanation:
Solve the equation for x by finding a, b, c of the quadratic then applying the quadratic formula.
The students in Nora's class chose between two options for an assignment.5/8 of the students chose option 1. If there are 32 students in Nora's class how many chose option 1? .20.24.15.28.
Answer:20 students chose option 1
Step-by-step explanation:
20 students chose option 1
answer
Answer:
20
Step-by-step explanation:
In the sentence of = multiply. So you multiply 5/8 x 32
5/8 x 32/1 next you simply
5/1 x 4/1 =20/1 = 20
When the point (-3,7) is dilated with the center of dilation at the origin, then the image of
the point is (-12.75, 29.75).
What is the scale factor of this dilation?
1) 4
2) 4.25
3) 9.75
4) 10
Answer:
4.25
Step-by-step explanation:
To find the scale factor divide the image coordinates by the original coordinates, that is
scale factor = [tex]\frac{-12.75}{-3}[/tex] = [tex]\frac{29.75}{7}[/tex] = 4.25
The answer would be 4.25
A paint can has a radius of 9.5 centimeters and a height of 28 centimeters. How
many cubic centimeters of paint will fill the can?
A) 31,739.12 cm3
B) 7934.78 cm3
C) 835.24 cm3
D) 3340.96 cm3
Answer: Option B.
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
You know that the paint can has a radius of 9.5 centimeters and a height of 28 centimeters:
[tex]r=9.5cm\\h=28cm[/tex]
Then, you need to substitute these values into [tex]V=\pi r^2h[/tex] to get the final result (In this case you can use [tex]\pi=3.14[/tex])
[tex]V=(3.14) (9.5cm)^2(28cm)[/tex]
[tex]V=7934.78cm^3[/tex]
Plz answer both for me plz
Answer:
[tex]\large\boxed{\text{Table 1:}\ y=4x+1}\\\boxed{\text{Table 2:}\ y=\dfrac{1}{2}x-1}[/tex]
Step-by-step explanation:
Tables show linear functions.
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
===================================================
Table 1:
(0, 1) → b = 1, (1, 5)
[tex]m=\dfrac{5-1}{1-0}=\dfrac{4}{1}=4\\\\y=4x+1[/tex]
Table 2:
(4, 1), (6, 2)
[tex]m=\dfrac{2-1}{6-4}=\dfrac{1}{2}\\\\y=\dfrac{1}{2}x+b[/tex]
Put the coordinateso f the point (4, 1) to the equation of a line:
[tex]1=\dfrac{1}{2}(4)+b[/tex]
[tex]1=2+b[/tex] subtract 2 from both sides
[tex]-1=b\to b=-1[/tex]
[tex]y=\dfrac{1}{2}x-1[/tex]
x divided by 12 = 12 divided by 72
Answer:
The equation to calculate what divided by 72 equals 12 is as follows:
X/72 = 12
Where X is the answer. When we solve the equation by multiplying each side by 72, you get get:
X = 864
Therefore, the answer to what divided by 72 equals 12 is 864.
I hope it helps!!
To find the value of x in the equation x/12 = 12/72, simplify 12/72 to get 1/6. Then, multiply both sides by 12 to solve for x, resulting in x = 2.
To solve the equation x divided by 12 = 12 divided by 72, we need to perform some algebraic manipulation to isolate x. First, rewrite the equation as a fraction:
x/12 = 12/72Next, simplify the fraction on the right-hand side:
12/72 = 1/6 (since 12 is 1/6th of 72)Now the equation looks like this:
x/12 = 1/6To solve for x, multiply both sides of the equation by 12:
x = 12 × 1/6x = 2So, the value of x is 2.
What is the volume of a right circular cylinder with a radius of 3 in, and a height of 10 in?
Answer: 90[tex]\pi \\[/tex]
Step-by-step explanation:
Final answer:
The volume of a right circular cylinder with a radius of 3 inches and a height of 10 inches is calculated using the formula V = πr²h, which gives 282.74 cubic inches.
Explanation:
To calculate the volume of a right circular cylinder, you can use the formula V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height of the cylinder. In this instance, the radius (r) is 3 inches, and the height (h) is 10 inches.
Using these values, you can plug them into the formula:
V = π × (3 in)² × 10 in
V = 3.14159 × 9 in² × 10 in
V = 3.14159 × 90 in³
V = 282.74 in³
Therefore, the volume of the cylinder is 282.74 cubic inches.
What is the value of
x3 + 4, when x = 6?
I'm not sure if you meant to write 3x or [tex]x^{3}[/tex] instead of x3 but I will work out both versions just in case
In the equation 3x + 4 plug 6 in for x
3(6) + 4
Multiply 3 and 6 first
18 + 4
Add 18 and 4
22
OR
In the equation [tex]x^{3}[/tex] + 4 plug 6 in for x
[tex]6^{3}[/tex] + 4
Solve the exponent
(6*6*6) + 4
216 + 4
Add the numbers together
220
Hope this helped!
Answer:
220
Step-by-step explanation:
Im going to assume x3 equals x^3, so 6^3 is 216, add this to 4 and get 220