Final answer:
The volume of the cylindrical oil drum is 9.426 cubic feet.
Explanation:
The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:
V = 3.142 × (1 foot)² × 3 feet
Calculating this, we get:
V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet
So, the volume of the oil drum is 9.426 cubic feet.
How do I find the median for 77,82,87,85,32,78?
Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median = [tex]\frac{78+82}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80
what’s the area
A. 64
B. 44
C. 30.25
D. 13.75
Answer:
B) 44
Step-by-step explanation:
Let's start with the triangles. Normally, when dealing with triangles, you would use the formula (B*H*1/2), but since there's two identical triangles, we can just do (B*H) and get the area for both:
2.5*5.5=13.75
Then to solve for the square, it is also (B*H):
5.5*5.5=30.25
At this point, to solve for the total area, you just add the areas together:
13.75+30.25=44
Hope this helps!
Answer: B. 44
Step-by-step explanation: The area of a rhombus is base times height. The height is 5.5 cm, and the base is 8 cm. To find the base, add 2.5 and 5.5.
8 x 5.5 = 44
The area is 44 cm^2
What is 7/5 times 7/8?
Answer:
7/5 time 7/8 is exactly: 2 11/40
Step-by-step explanation:
Hello.
First we need to multiply across.
7 x 7 is 49 so that's our top number.
49
---- 5 x 8 is 40 so that would be our bottom number.
?
You would write it [tex]\fbox{49/40}[/tex].
As a mixed number it would be [tex]\fbox{1 9/40}[/tex] Note that it is not 19 if you read it wrong.
A right triangle has legs measuring 18 inches and 26 inches. What is the length of the hypotenuse
31.6 because a^2+b^3=c^2
what is 4 apples per pound
Answer:
It actually really depends on the size of the apples, say 1 pound of aan apple should be approx 3 medium-sized apples, so maybe for 3 pounds of an apple it would be around 9 medium sized apples.
Which relationship describes angles 1 and 2?
complementary angles
adjacent angles
vertical angles
linear pair
Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line
Answer:
Step-by-step explanation:
1 and 2 are vertical angles
Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressions are equivalent. 12(w – 3) 12w – 36 When w = 5, both expressions have a value of 24. When w = 10, both expressions have a value of . Therefore, the expressions are equivalent.
When w is 5 both expressions have the same value 24.
When w is 10 both expressions have the same value 84.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Substitute w = 5
12 (w - 3)
= 12 (5 - 3)
= 12 x 2
= 24
And,
12w - 36
= 12 x 5 - 36
= 60 - 36
= 24
Now,
Substitute w = 10
12 (w - 3)
= 12 (10 - 3)
= 12 x 7
= 84
And,
12w - 36
= 12 x 10 - 36
= 120 - 36
= 84
Thus,
When w is 5 both expressions have the same value.
When w is 10 both expressions have the same value.
Learn more about expressions here:
https://brainly.com/question/3118662
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When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.
To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]
When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(5 - 3) = 12(2) = 24\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]
Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]
Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(10 - 3) = 12(7) = 84\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]
Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.
Is 2.924017738 a rational number
So Not A rational Number
I think :)
Good Luck:)))
Simply the expression 6x^2(3x)
Answer:
[tex]\large\boxed{6x^2(3x)=18x^3}[/tex]
Step-by-step explanation:
[tex]6x^2(3x)=(6\cdot3)(x^2x)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=18x^{2+1}=18x^3[/tex]
Which equation best models the relationship between x and y
Answer:
y = x + x or y+mx+b
Step-by-step explanation:
The first shows the relation in many different problems. But the second is used more for graphs of proportional value. You can use both in either case. But the y=x+x you would substitute the x with real numbers according to the problem.
Which of these functions has an inverse function? Select all that apply.
y = x
y = x^2
y = x^3
y = x^4
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Thus, the function is one to one.
For y=x or
[tex]f(x) = x[/tex]
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Hence this function has an inverse.
For the function y=x² or f(x)=x².
[tex]f(a) = f(b) \Rightarrow \: {a}^{2} = {b}^{2} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
[tex]f(a) = f(b) \Rightarrow \: {a}^{3} = {b}^{3} \Rightarrow \: a = b[/tex]
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
[tex]f(a) = f(b) \Rightarrow \: {a}^{4} = {b}^{4} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse over the entire real numbers.
Answer:
The function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
Step-by-step explanation:
Function inverse definition:
If a provided function f(x) is mapped x to y, then the inverse of the provided function f(x) is mapped y to x.
Or [tex]f(x)=f(y)\Rightarrow x=y[/tex]
Now, consider the function y = x.
Interchange the variables x and y.
[tex]x=y[/tex]
Now, solve [tex]x=y[/tex] for [tex]y[/tex].
[tex]x=y[/tex]
Therefore, this function has an inverse.
Consider the function [tex]y=x^{2}[/tex].
Interchange the variables x and y.
[tex]x=y^{2}[/tex]
Now, solve [tex]x=y^{2}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt{x} =y[/tex]
Therefore, the function has no inverse.
Consider the function [tex]y=x^{3}[/tex].
Interchange the variables x and y.
[tex]x=y^{3}[/tex]
Now, solve [tex]x=y^{3}[/tex] for [tex]y[/tex].
[tex]\sqrt[3]{x}=y[/tex]
Therefore, the function has inverse.
Consider the function [tex]y=x^{4}[/tex].
Interchange the variables x and y.
[tex]x=y^{4}[/tex]
Now, solve [tex]x=y^{4}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt[4]{x}=y[/tex]
Therefore, the function has no inverse.
Hence, the function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
The jacket is on sale for $36 which Is 80% of the original cost. What is the original price of the jacket?
Answer:
45
Step-by-step explanation:
percent x whole = part
80%w = 36
.8w=36
divide .8 by both sides
w=45
what is the name of line segment an on the circle below
Answer:
C
Step-by-step explanation:
Let's break down the definitions.
diameter = a line across the circle that crosses the center
radius = a line from the center of the circle to any edge
chord = a line with both endpoints on the edge of the circle
arc = the outside part of the circle
Since this line has both endpoints on the edge of the circle and does not cross the center, the line is a chord.
Which expression represents the number of coins Sarah has.
Sarah has 16 coins, but spends some of them during the day.
A. C - 16
B. 16c
C. 16 - c
D. 16 + c
This answer gone be c.16-c
Answer:
is it 16 c or not
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4, find h(-8)
Answer:
h(-8) = 22
Step-by-step explanation:
Plug -8 in for t and simplify...
h(-8) = 2(-8 + 5)² + 4
h(-8) = 2(-3)² + 4
h(-8) = 2(9) + 4
h(-8) = 18 + 4
h(-8) = 22
Answer:
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4
There is an intermediate step which is
h(f) = -2(f + 5)^2 + 4
h(-8) = -2(-8 + 5)^2 + 4
h(-8) = -2(-3)^2 + 4
h(-8) = -2(9) + 4
h(-8) = -18 + 4
h(-8) = - 14
Mr. broun paid $3.30 in tax on a $55 motel bill. What percent of $55 was the Tax?
Answer:
That would be 6%.
Answer:
6%
Step-by-step explanation:
55(x)= 3.30
3.30/55 = .06
x=.06 which equals 6%
what is the surface area formula for this shape and if you could explain that would help me a lot
Answer:
I think it's A
Step-by-step explanation:
The reason is because the circle is pi r ^2 but the wedge is some kind of fraction of a circle with degree 1, like area times circumference. The question should say, which of the following is the most probable formula for SA.
Answer:
[tex]\large\boxed{C.\ S.A.=\pi r^2+\pi rl}[/tex]
Step-by-step explanation:
It's a net of a cone.
The formula of a surface area of a cone:
[tex]S.A.=\pi r^2+\pi rl[/tex]
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 2
Step-by-step explanation:
As the exponents increase,
(that is, they go from negative to positive)
-5,-4,-3,-2, -1,0
------------------------>
We see that each previous value is multiplied by a factor of 2
We can see the graph of the values in the picture below
Please help I will give brainliest please show work and find the volume of this odd looking pyramid
Answer:
206 2/3 ft³
Step-by-step explanation:
The volume of this solid is given by V = (1/3)(base area)(height).
Here, V = (1/3) (62 ft²) (10 ft ) = 206 2/3 ft³
Examine the linear equation. 8x – y = –6 Choose the slope-intercept form of the equivalent equation:
Step-by-step explanation:
The slope-intercept form can be obtained by solving for y.
8x-y=-6
-8x
-y=-8x-6
divide by negative 1 to turn y positive.
y=8x+6
Answer:
y=8x+6
Step-by-step explanation:
just took the prac. on edge
Emily is making bracelets for herself and 6 of her friends she needs 1/5 of a yard of string to make each bracelet. How much string will Emily need to make all of the bracelets?
10 feet of string to make all the bracelets.
What is the third quartile of this data set? *I NEED THE HELP ASAP* thx
I think the answer is 44
Which if the following best describes a pair of angles that combine to form a straight angle.
A. Vertical Angles
B. Supplementary Angles
C. Complementary Angles
D. Linear Pair
Answer:
The answer to this is B, because supplementary angles sum up to 180 degrees, which means it is a straight angle.
Answer:
Option B and D
Step-by-step explanation:
Given are four options and we have to select the one which form a straight angle.
The given options are
A. Vertical Angles ... Vertical angles are formed when two lines intersect and hence cannot combine to form a straight angle. Incorrect option.
B. Supplementary Angles ... Supplementary angles are a pair of angles which add upto 180 degrees and hence they form a straight angle. Correct option
C. Complementary Angles ... These pair add up to 90 degrees and cannot combine to form a straight angle. .. Incorrect
D. Linear Pair ... A linear pair is a pair of angles formed on a straight line and hence correct option.
Lines
AB
and
AC
tangent to circle k(O) at B and C respectively. Find BC, if m∠OAB=30°, and AB=5 cm.
Answer:
5 cm
Step-by-step explanation:
If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.
If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.
Consider two right triangles ABO and ACO. In these triangles:
AO is common hypotenuse;∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;OB=OC as radii of the circle k(O).By HL theorem, triangles ABO and ACO are congruent. Then
∠OAB=∠OAC=30°;AC=AB=5 cm.Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.
Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus
∠CBA=∠BCA=1/2(180°-60°)=60°.
Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.
if you horizontally stretch the quadratic parent function, f(x)=x^2, by a factor of 3, what is the equation of the new function?
Answer: [tex]g(x)=\frac{1}{9}x^2[/tex]
Step-by-step explanation:
By definition, he quadratic parent function [tex]f(x)=x^2[/tex] is the simplest form of a quadratic function.
By definition, if the fucntion is multiplied by the factor b and:
|b|>0 the function is stretched.
If 0<|b|<1 the function is compressed.
Then the new function will have the form:
[tex]g(x)=(\frac{1}{b}x)^2[/tex]
Therefore, keeping the above on mind, if b=3, then the new function is:
[tex]g(x)=(\frac{1}{3}x)^2[/tex]
[tex]g(x)=\frac{1}{9}x^2[/tex]
Answer: g(x)=(1/3(x))^2
Step-by-step explanation:
A very small town has only five residents with the following incomes (all in thousands): $33, $24, $22, $45, $99. Find the median income.
Answer:$33,000
Step-by-step explanation:
Answer:
a.33,000
Step-by-step explanation:
How many tables are needed ~~~~~PLEASE HELP
Answer:
it would be 5 tables
Step-by-step explanation:
1:6
2:10
3:14
4:18
5:22
just count by 4
Write 33% as a fraction in simplest form
Answer: the answer to 33% is around 1/3
Step-by-step explanation:
Answer:
33/100
Step-by-step explanation:
There is no way to simplify
I need to answer this and also EXPLAIN how I got it. Help pls
Answer:
1+4*2=10
Step-by-step explanation:
1 + 4 is equal to 5 then multiply 5 by 2 and you get 10
Step-by-step explanation:
Let's solve for x.
x+4y=10
Step 1: Add -4y to both sides.
⇒x+4y+−4y=10+−4y
⇒x=−4y+10
Answer:
x=−4y+10
* Hopefully this helps:) Mark me the brainliest:)!!
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]