Answers
Find the perimeter and area of each figure.
Result
1. P = 56 A = 195
2. P = 76 A = 345
Solution
Perimeter = 2(l + w)
Area = wl
1. P = 2(15 + 13) = 2(28) = 56
A = 15 · 13 = 195
2. P = 2(23 + 15) = 76
A = 23 · 15 = 345
Related Questions
Please help I'm really bad at logorithms.
Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10?
Answers
2ˣ = 128
Let's take log base 10 of both sides.
For simplicity, we'll just use the symbol log to mean log₁₀
log (2ˣ) = log (128) Remember that log(yˣ) = x log(y)
x log (2) = log (128) Divide both sides by log(2) to get x by itself
x = log (128) ÷ log (2)
Lafayette county has a population of 7,022 people .Columbia county population is 8 times as great as Lafayette County's population.WHAT IS THE POPULATION OF COLUMBIA COUNTY
Answers
So, you would get this equation:
7,022(8) = population
Your answer is: 56,176 people.
An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8 and 12 hours. Is there a direct variation? Explain.
Answers
Answer:
Yes, there is a direct variation, where the constant is 195 miles\hr
Step-by-step explanation:
Consider the provided information.
An airplane travels 780 miles in 4 hours.
780 miles = 4 hours
Divide both the sides by 4.
780/4 miles = 4/4 hours
195 miles = 1 hours
we need to make a table and graph to show the mileage for 2,8 and 12 hours.
The required table is shown below:
hr Mileage (Miles)
2 2×195 = 390 miles
8 8×195 = 1560 miles
12 12×195 = 2340 miles
From the table we can observe that there is a direct variation, where the constant is 195 miles\hr
The graph of the table is shown below.
The graph is a line passing through the origin.
Thats the same problem mr kagey gave me
Step-by-step explanation:
Melissa is 24 years younger than Joyce. In 2 years Joyce will be 3 times as old as Melissa will be then. How old are they right now?
Answers
Melissa 12 and Joyce 36
Theresa walked around the track 22 times. How far did she walk? Write as an improper fraction or mixed number.
Answers
so 1/6 times 22 is 3.666666666666
that is (11/3)
or
(3 and 2/3)
Hope this helps :)
can someone please help md
Answers
If you look at the slopes of sides WZ and XY, they are equal.
Those two sides are parallel.
Also, keep in mind that a line that goes up to the right has a positive slope, and a line that goes down to the right has a negative slope.
For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
Answers
The slope of a tangent line in the polar coordinate is given by:
[tex]m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta} [/tex]
Thus, we have:
[tex]m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta} [/tex]
Part A:
For horizontal tangent lines, m = 0.
Thus, we have:
[tex]\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta[/tex]
Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
θ = 0
θ = 2.02875783811043
θ = 4.91318043943488
Part B:
For vertical tangent lines, [tex] \frac{1}{m} =0[/tex]
Thus, we have:
[tex]\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta[/tex]
Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
θ = 4.91718592528713
For the polar curve r = θ, the tangent lines are horizontal when θ = 0 and θ = π, and the tangent lines are vertical when θ = π/2 and θ = 3π/2.
Explanation:The question is asking us to find the values of θ for which the tangent lines to the polar curve r = θ are horizontal and vertical. To do this, we need to first derive the slope of the tangent line in polar coordinates.
The derivative dr/dθ represents the slope of the radius with respect to θ, or in other words, the slope of the curve. When r = θ, the derivative dr/dθ = 1. This slope is equal to the tangent of the angle that the tangent line makes with the positive x-axis.
Therefore, for the tangent lines to be horizontal, the angle needs to be 0 or π rad (0 or 180 degrees). For the tangent lines to be vertical, the angle needs to be π/2 or 3π/2 rad (90 or 270 degrees). Using the equation r = θ in rad, we find the horizontal tangents are when θ = 0 and θ = π, while the vertical tangents are when θ = π/2 and θ = 3π/2.
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During the weekend at the movie palace theaters, 24,875 tickets were sold. Add the following to the number of tickets sold. 100 tickets _____ and 1,000 tickets ____
Answers
Answer: 24,975 tickets and 25,875 tickets
Step-by-step explanation:
Given : The number of tickets sold at the movie palace theaters during the weekend = 24,875
If we add the the number of tickets sold to 100 tickets, we get
[tex]24,875+100=24,975[/tex]
If we add the the number of tickets sold to 1000 tickets, we get
[tex]24,875+1000=25,875[/tex]
Hence, when we add 100 tickets and 1000 tickets to the number of tickets sold we get 24,975 tickets and 25,875 tickets
Using the diagram, which two planes would hg intersect in ?
Answers
Answer:
we need to see the diagram..
Step-by-step explanation:
What is the product of 8.2 × 10/\9 and 4.5 × 10/\-5 in scientific notation?
36.9 × 10/\-45
12.7 × 10/\4
3.69 × 10/\5
3.69 × 10/\14
Answers
To make things easier for you, the correct answer is C: 3.69 × 10^5
one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?
Answers
time = x hr/job ; rate = 1/x job/jhr
Slower maid DATA:
time = 3x hr/job ; rate = 1/3x job/hr
Together DATA:
time = 3 hr/job ; rate = 1/3 job/hr
Equation:
rate + rate = together rate
1/x + 1/3x = 1/3
Multiply thru by 3x to get:
3 + 1 = x
x = 4 hrs (time for the faster maid to do the job)
By setting up and solving the equation based on the work rates of the maids, we find that the faster maid would need 4.5 hours to clean the complete house alone.
Explanation:Let's denote the time it takes for the faster maid to clean the house alone as x hours and for the slower maid as 3x hours (since she is three times slower). When they clean the house together, their combined work rate is 1 house per 3 hours.
We can set up an equation based on the work done: The faster maid's work + the slower maid's work = the total work done. Here, the 'work' is a fraction of the house cleaned per hour, so the equation can be written as: 1/x + 1/(3x) = 1/3.
By solving this equation, we find that x = 4.5. Hence, the faster maid would need 4.5 hours to clean the house alone.
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I need help. If you can explain it, show me!!
Answers
Divide this by 3E8:
2E13 = 200000E8
-------- --------------- is approx equal to 70000 (dollars).
3E8 3E8
Usually, when you subtract 98 from a number, you need to
Answers
We are taking the difference between x and the 98 we must borrow from x.
What are some alternative names for arithmetic operations?The addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
let us assume that we subtract 98 from the number x.
∴ We are taking the difference of x and 98 we have to borrow 98 from that number x.
For example -: We have to subtract 98 from 299, here we will borrow 98 from 299 which is (299 - 98) = 101.
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Please help me with this. What is the slope of a line parallel to the line with equation 5x-2y=11?
Answers
5x - 2y = 11 this equation is given in standard form
-2y = 11 + 5x add both sides by 5x and then divide all by -2
y = 5/2x - 11/2
so the slope is 5/2.
hope this helped, God bless!
To do this, we can switch it to slope intercept form, which is y = mx + b.
-2y = -5x + 11
Notice that the y doesn't have a variable next to it in slope intercept form. This means you have to divide all the sides to -2 to cancel out that -2.
-2y = -5x + 11
/-2 /-2 /-2
y = 5/2x + 11/-2
Since in the equation, y = mx + b, the number in the position of m = the slope, we know that 5/2 is the slope.
So therefore, the slope of a line parallel to the line with equation 5x - 2y = 11 must be 5/2.
:) help me please & tyyyy
Answers
x = 12 and y = 46
y = 3x + 10
46 = 3(12) + 10
46 = 36 + 10
46 = 46
The answer is true. I hope this helps love! :)
The base of a triangle is 3cm greater than the height. The area is 14cm. Find the height and base of the triangle.
Answers
the height....h
b*h/2=14
b=h+3
h*(h+3)=28
h*(h+3)=4*7
h=4 cm , b=7 cm
base x height/2 = 14
base x height = 28
Base - height = 3
Base = 7
Height = 4.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Helpppppp fast am being timed
Answers
The second one (up and right) does represent a linear function because y decreases a constant amount (3) when x increases a constant amount (1).
Th third one (bottom and left) does represent a linear function because y increases a constant amount (1) when x increases a constant amount (1).
The fourth (bottom and right) does not represent a linear function because the change is y is not constant when x increases a constant amount.
Don't understand need help
Answers
So, your questions are basically having to do with rotations. This means to rotate certain points in a grid.
The following are formulas for solving rotations-
90 Degrees Clockwise About The Origin = (X,Y) -> (Y,-X)
180 Degrees About The Origin = (X,Y) -> (-X,-Y)
270 Degrees Clockwise About The Origin = (X,Y) -> (-Y,X)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
90 Degrees Counterclockwise = 270 Clockwise
270 Degrees Counterclockwise = 90 Clockwise
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*Note, in the formulas, the negative sign only stands for the opposite. So if your original point is a negative, it will become positive,
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that we have our formulas, let's put them into affect with your points.
13) 90 Degrees CC = 270 Degrees Clockwise. Formula- (X,Y) -> (-Y,X)
A (2,-2) -> A' (2,2)
B (4,-1) -> B' (1,4)
C (4,-3) -> C' (3,4)
D (2,-4) -> D' (4,2)
*Note, the symbol _'_ Stands for prime. All this means, is the new point.
15) Now, I apologize, but I'm a bit confused on this one :( When it says about point L, I can't tell if it just wants that one point, or the whole figure translated. Again, I am so sorry :(
17) This one I do know. 270 degrees CC = 90 degrees Clockwise. Formula- (X,Y) = (Y,-X).
W (-6,-2) -> W' (-2,6)
X (-2,-2) -> X' (-2,2)
Y (-2,-6) -> Y' (-6,2)
Z (-5,-6) -> Z' (-6,5)
Hope this helped! Again, sorry about number 15. Have a great day!
Regards,
~KayEmQue
The area of a square garden is 1681 square feet. What are the dimensions of the garden?
Answers
Mrs.Hense sells a roll of coastal bermuda horse hay for $58. She says she will make $174 if she sells 3 rolls
Answers
58x3= 174.
A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. The value of the function at 0 is 4. Graph the function. Identify the slope, y-intercept, and x-intercept of the graph.
Answers
A. Finding the slope
The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
Check out the image attached
The linear function described is y = -2x + 4, with a slope of -2 and a y-intercept at (0,4). The line for this function will pass through the points (0,4) and (2,0), the latter being the x-intercept.
Explanation:The question asks to graph a linear function in which the dependent variable decreases 6 units for every 3 units the independent variable decreases, and the function's value at 0 is 4. The nature of this relationship implies that the slope of this function is -2 (calculated as -6 divided by 3). Therefore, the equation for this linear function, using the slope-intercept form y = mx + b, will be y = -2x + 4. In this equation, -2 is the slope (m) and 4 is the y-intercept (b, the function's value when x is 0).
To graph this function, you start by marking the point (0,4) on your graph. From this point, you then go down 2 units (as the slope is -2) and 1 unit to the right (as the decrease in y for a 1 unit increase in x). You will continue this pattern to graph the line. The x-intercept—the point at which the line crosses the x-axis (i.e., where y = 0)—occurs at x = 2, because plugging in 0 for y in the equation gives us -2x + 4 = 0, which simplifies to x = 2. So the final line should pass through the points (0,4) and (2,0).
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Marjorie bought 24 bottles of juice. She drinks 2 bottles each day. Which of the following best represents the number of bottles she has left at the end of d days? Question 1 options: 2d - 24 24d - 2 24 + 2d 24 - 2d
Answers
Answer:I know the answer is 24-2d. But can anyone give me the Step-by-step explanation of how to solve it in the comments below.
The best representation of the number of bottles she has left at the end of d days is,
⇒ 24 - 2d
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Marjorie bought 24 bottles of juice.
And, She drinks 2 bottles each day.
Now, We get;
First day;
⇒ 24 - 2
Second day;
⇒ 24 - 2 x 2
After d days;
⇒ 24 - 2d
Thus, The best representation of the number of bottles she has left at the end of d days is,
⇒ 24 - 2d
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If Harry's new balance was $123.40, what would be his total available credit?
A. $500.00
B. $367.60
C. $376.60
D. $123.40
I'm not sure how to find total credit available but I tried it two different ways and got two answers so I'm between B and C. If you just subtract the new balance from the total credit you get C but if you subtract both the new balance and payments you get B. Please help
Answers
PTINO Can you unscramble this... It's the answer to this riddle; Decimals always win in arguments with fractions. What do decimals have that fractions don't?
Answers
7/10 × 4/7 × 30/20 × 20/14=
I'm unsure how to multiply more than two fractions at a time
Answers
How is rate of change related to slope
Answers
They're pretty much the same thing but when you hear the word rate of change, your thinking of it more in the context of a word problem and interpreting what it means. So labels are pretty much the key difference.
So like slope is here is a random coordinate plane, here's random points or just tell me what the slope is whereas rate of change is like it's number of meters per minute or its number of miles per hour so rate of change means you're comparing two quantities but you have units or labels attached to it.
You're calculating it in the same way but when we say rate of change we're really being asked in the context what does it mean.
how do i solve? i don’t understand how you have to get the denominator
Answers
Remember, if a power is ever negative, then you have to turn it into a fraction, and if a power is zero, then the whole number turns into 1 :)
4⁻³ turns into 1/4³ due to the fact that the power is negative.
So, our question now looks like this :
1/4³ · 1
Simplify.
1/64 · 1
Simplify.
Our answer is : 1/64
~Hope I helped!~
Atlanta and Los Angeles have two of the top ten busiest airports in the world. In 2011, Atlanta had approximately 92.365 million passengers flying through its airport. If Los Angeles had 30.517 million fewer passengers, how many passengers did Los Angeles have?
A)61.848 million
B)89.313 million
C)99.314 million
D)122.882 million
plzawnser if i get 1 question wrong on the test allfoilmy chances of PASSING 12TH GRADE
Answers
Answer:
61.848 million
Step-by-step explanation:
Which problem can be solved with this model? A. 4 divided by 1/3 B. 1/3 divided by 4 C. 12 divided by 1/3 or D. 4 divided by 12
Answers
Simplify. 14+{−2+3[1+3(−6−2)]} Enter your answer in the box. pls HELP
Answers
i think most probably when i did i got this ans
The expression after simplification is -57
Given the expression 14+{−2+3[1+3(−6−2)]}
Using the PEDMAS method
P is parenthesis
E is exponent
D is division
M is multiplication
A is addition
S is subtraction
14+{−2+3[1+3(−6−2)]}
= 14+{−2+3[1+3(-8)]}
= 14+{−2+3[1+(-24)]}
= 14+{−2+3[1-24]}
= 14+{−2+3[-23]}
= 14+{−2+[-69]}
= 14+{−2-69}
= 14+(-71)
= 14 - 71
= -57
Hence the value of the expression after simplification is -57
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