Answer:
5/6 - 1/6 = 4/6 = 2/3
Step-by-step explanation:
Since both numbers' denominators are the same, all you have to do is minus normally on the top numbers. You would take the difference and put it on the same denominators. Finally simplify!
1. A hexagon is inscribed in a circle. If the difference between the area of the circle and the area
of the hexagon is 24 m”, use the formula for the area of a sector to approximate the radius
of the circle. Give an exact answer( doesn't have to be rationalized) and round to 2 decimals.
Answer:
The radius, r ≈ 6.55 m
Step-by-step explanation:
The given parameters are;
An inscribed hexagon in a circle
The area of the hexagon = Area of the circle - 24 m²
The formula for the area of the circle = π·r² = π × r²
The area of each of the six equilateral triangle in the hexagon = √3/4 × r²
Where;
r = The radius of the circle
The area of a sector of a circle in which the equilateral triangle is inscribed = 60/360×π·r² = 1/6×π·r² = 1/6 × Area of the circle
Given that the sector of the circle in which one of the six equilateral triangles of the hexagon is inscribed is 1/6 the area of the circle, the difference in area between the equilateral triangle and the sector = 24/6 = 4
Therefore, the difference in the area between the sector of the circle and the area of the equilateral triangle = 4 m²
We then write; 1/6×π·r²- √3/4 × r² = 4
r²·(1/6×π- √3/4) = 4
r² = 4/(1/6 ×π - √3/4) = 48/(2·π -3·√3)
r = √(48/(2·π -3·√3) = 6.55 m to 2 decimal places
The radius, r ≈ 6.55 m.
Please help me with this
Answer:
b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Step-by-step explanation:
[tex] f(x) = \sqrt[3]{x + 2} [/tex]
[tex] y = \sqrt[3]{x + 2} [/tex]
[tex] x = \sqrt[3]{y + 2} [/tex]
[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]
[tex] x^3 = y + 2 [/tex]
[tex] y = x^3 - 2 [/tex]
[tex] f^{-1}(x) = x^3 - 2 [/tex]
Answer: b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Lance is solving the equation 2(2x + 1) - (3x - 5) = 17. His steps are shown below: Step 1: 4x + 2 - (3x - 5) = 17 Step 2: 4x + 2 - 3x - 5 = 17 Step 3: x + 2 - 5 = 17 Step 4: x - 3 = 17 Did Lance make a mistake? If so, in which step did he make the mistake and what was his mistake?
Answer:
Lance made a mistake
His mistake was in step 2
Step-by-step explanation:
Yes, Lance made a mistake.
He made a mistake in step 2 of his solution.
The mistake he made was that he was supposed to open the bracket of -(3x-5) to give -3x + 5
The 5 is supposed to have a positive value and not a negative
Find the slope.of (3,1) and (1,-11)
who can answer this?????
Answer:
All is the answer
Step-by-step explanation:
Answer:
Its all.
Step-by-step explanation:
Natural numbers mean terminating numbers.
In the table shown, the ratio of miles biked to hours biked is constant.
Answer:
B
Step-by-step explanation:
You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.
The proportion 44/4=m/7 can be used to determine the value of m.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of miles biked to hours biked is constant.
The given table is
Miles biked 11 44 m 132 165
Hours biked 1 4 7 12 h
We have to find the value of m.
m is the number of miles biked in 7 hr.
By using the proportion we can find m.
44/4=m/7
11=m/7
Apply cross multiplication
m=77
Hence, the proportion 44/4=m/7 can be used to determine the value of m.
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Subtract −5x^2 −9x+8 from -6x^2+5
Answer:
-(x^2 - 9 x + 3)
Step-by-step explanation:
Simplify the following:
-(-5 x^2 - 9 x + 8) - 6 x^2 + 5
Factor -1 out of -5 x^2 - 9 x + 8:
--(5 x^2 + 9 x - 8) - 6 x^2 + 5
(-1)^2 = 1:
5 x^2 + 9 x - 8 - 6 x^2 + 5
Grouping like terms, 5 x^2 - 6 x^2 + 9 x - 8 + 5 = (-6 x^2 + 5 x^2) + 9 x + (5 - 8):
(-6 x^2 + 5 x^2) + 9 x + (5 - 8)
5 x^2 - 6 x^2 = -x^2:
-x^2 + 9 x + (5 - 8)
5 - 8 = -3:
-x^2 + 9 x + -3
Factor -1 out of -x^2 + 9 x - 3:
Answer: -(x^2 - 9 x + 3)
I hope this is helpful
Answer:
im confused
Step-by-step explanation:
Answer:
Do you need me to answer somthing PLEASE tell me if you do!!!!!
THANK YOU FOR THE POINTS!!!!!
please tell Step-by-step explanation:
Linda watched a video. The introduction is 2 minutes, and the video is 7 minutes. What percentage of the video is the introduction? Explain.
Answer:
22.222222%
Step-by-step explanation:
all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer
Answer: 22.23% (Infinitely Long)
Step-by-step explanation:
9 = 100%
9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]
There ya go. :)
If you bring 2 pairs of shoes, 10 items of regular clothes, and 2 coats, how much will your bag weigh?
The weight of the bag =
Weight of 2 pairs of shoes + weight of 10 items of regular clothes + weight of 2 coats.
What is weight?A weight characteristic is a mathematical tool used when appearing a sum, critical, or average to provide some factors extra "weight" or impact on the result than different factors within the equal set.
What is the value of weight?
Weight Value is the basis of the overall progress calculation processes used to determine the weight of each phase in the project. It is measured based on the distribution of weight values and obtained by multiplying the weight value of each task in the project.
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2. What is the equation of a line that is passing through the point (8,11) and is perpendicular to y=2x+1.
Answer:
u need to substitute (8,11) in the equation because the line passses through that point
what are all the different methods for solving quadratic equations? discuss the pros and cons of each. what indicators predict when a quadratic equation will have a complex solution
Answer: are factoring, using square roots, completing the square and quadratic formula.
Step-by-step explanation:
Is the function f(x) = x even, odd or neither?
Answer:
odd
Step-by-step explanation:
pls answer the questions
Answer:
which question
Step-by-step explanation:
hope this helps u
Answer:
What question there is nothing here
(a4b-5c3)2 please solve
Answer: I thibk it is
a^8c^6
_______
b^10
Can you pls help me with this question pls
Answer:
This is it ranked from least to greatest. 3/10 being the least
3/10
5/9
45/90
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
2y–6=0
The slope − intercept form is :
The slope is:
The y − intercept is ( )
,
).
Answer:
see below:
Step-by-step explanation:
2y–6=0
a. slope intercept form using y = mx + b
y = 6/2
y = 3
b. slope: use the slope intercept form: y = mx + b
slope = m = 0
c. y-intercept = (0,3)
Answer:
slope intercept form: y=3
the slope:0
the y-intercept(0,3)
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 1660 seats. The students filled 1577 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
95%
Step-by-step explanation:
I need help with this math problem plz help
Answer:
A
Step-by-step explanation:
When you solve the equation it gives you the solution and it matches with the graph
Can someone please help me with this?
Answer:
Domain is the time in minutes
Range is the amount of water in liters
y≤75 liters
x≤15 minutes
How is solving literal equations like solving equations in one variable
Answer:
When given a literal equation, you will often be asked to solve the equation for a
given variable. The goal is to isolate that given variable. The process is the same
process that you use to solve linear equations; the only difference is that you will
be working with a lot more letters, and you may not be able to simplify as much as
you can with linear equations. This packet will hopefully show you the process in a
simple manner so that you will be able to solve literal equations yourself. See
examples before for the method to solving literal equations for a given variable:
Answer:
Step-by-step explanation:
To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.
Linear equations in one variable may take the form a x + b = 0 \displaystyle ax+b=0 ax+b=0 and are solved using basic algebraic operations. We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.
I hope this helps. Sorry if I could not answer your question!
Theo buys 116 shares of Raxin Accounting at $15.66 per share and 165 shares of Sanden Research Labs at $8.57 per share. If
Theo's broker charges a commission of $11.50 per ten shares bought or sold, how much does Theo pay in commission?
$1,816.56
b. $323.15
C. $3,553.76
d. $1,414.05
Answer:
the answer is letter B. $323.15
Step-by-step explanation:
Answer:
B: 323.15
Step-by-step explanation:
[tex](\frac{116+165}{10} )*11.50[/tex]
4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].
Here is the answer, with a picture of it!
Express 2101 three to base 10
Answer:
2101=64...............
Leslie is buying potatoes at a store. This graph shows the relationship between the number of pounds of potatoes she buys and the total cost.
The picture shows a line graph, titled Cost of Potatoes. The horizontal axis is labeled, Weight of Potatoes in pounds. The values shown on the horizontal axis are zero through five. The vertical axis is labeled Cost in Dollars. The values shown on the vertical axis are zero through five. The line on the graph starts at zero pounds and zero dollars. The line moves in the upward direction. It passes through the point two pounds and one and one-half dollars. It also passes through the point four pounds and three dollars.
Based on the graph, what is the unit cost, in dollars, of the potatoes?
Answer:
please someone answer this
Step-by-step explanation:
pls
Answer:
0.75
Step-by-step explanation:
(Help!!)Select all the true statements.
Answer:
the first choice, the second choice, and the last choice
Step-by-step explanation:
5 and 6 because they are alternate angles
2 and 3 because they are corresponding angles
2 and 4 because they are corresponding angles
What is the decimal equivalent of 18/5
The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.
The decimal equivalent of 18/5 is 3.6.
What is the decimal equivalent of 18/5?
To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.
When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6
Learn more about decimal
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6х + 17 = -7
justify each step
Answer:
x = -4
Step-by-step explanation:
Subtract 17 on both sides to get 6x = -24 then divide 6 to both sides to get your answer of x = -4
First, you need to get 6x by itself. So you would subtract 17 from both sides. After that you should have 6x= -24.Then you need to get x by itself. You divide 6 from both sides. The answer is x= -4.
Hope this helps!!
I need help with this
Answer:
w=8
Step-by-step explanation:
1(8)+12=2(8)+4
8+12=16+4
20=20
Questions on picture. Please help
Answer:
A) 2
Step-by-step explanation:
We already know that [tex]i[/tex] equals -1, so we can substitute that into the expression.
[tex](\sqrt{3} +(-1))(\sqrt{3} -(-1))\\(\sqrt{3} -1)(\sqrt{3}+1)[/tex]
Now we can use the distributive property to solve the rest
[tex](\sqrt{3} -1)(\sqrt{3}+1)\\\sqrt{3} *\sqrt{3} +\sqrt{3} -\sqrt{3}-1\\ 3+0-1\\=2[/tex]
Hope this helps! I apologize if I get this incorrect.