When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side is true.
To find true/false When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side.
What is meant by line of symmetry?A line of symmetry is a line that cuts a shape exactly in half.
A line of symmetry divides a design so that every point on one side of the line coincides with a point on the other side of it. There are figures and shapes that can have more than one lines of symmetry. A circle has infinite lines of symmetry. Likewise, a triangle has three lines of symmetry, while rectangle and square have four such lines which divide them into identical parts.
so, a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side is true.
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HELP PLEASE! what is the inverse of the function f(x)=2x+1
Answer:
The inverse function is a) h(x) = 1/2x - 1/2
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = 2x + 1
x = 2f(x) + 1
Now solve for the new f(x). The result will be your inverse function.
x = 2f(x) + 1
x - 1 = 2f(x)
(x - 1)/2 = f(x)
h(x) = 1/2x - 1/2
The inverse of the function f(x)=2x+1 is found by switching x and y in the function to create a new equation, rearranging that equation to solve for y, resulting in the inverse f^-1(x)=(x-1)/2.
Explanation:
To find the inverse of the function f(x)=2x+1, you first switch the roles of x and y in the function.
Instead of f(x)=2x+1, you would write it as x=2y+1. Then, you solve for y in this new equation. To do that, you first subtract 1 from both sides of the equation, giving you x-1=2y. Then, you divide each side by 2: y=(x-1)/2.So, the inverse of the function is f^-1(x)=(x-1)/2.
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HURRY ITS TIMED!!!!!
A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of pi.
➷ The formula for surface area of a cylinder is:
[tex]2\pi rh + 2\pi r^2[/tex]
The radius is half the diameter
radius = 40/2 = 20
Substitute the values in
Surface area = [tex]2\pi (20)(32) + 2\pi (20)^2[/tex]
Simplify to get an answer of:
surface area = [tex]2080\pi feet^2[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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A 50-year-old male purchased a 20-Year Endowment insurance policy at the age of 40.The face value of the policy was $85,000. He asks his insurance agent for a reduced paid up insurance nonforfeiture option. Given the table below and the permanent insurance amount of $48.20 per thousand, determine the reduced paid up insurance value and the annual premium.
Answer:
The reduced paid up insurance value is $47,770 and the annual premium is $4,097
The reduced paid-up insurance value is $6,692.83.
The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would
We have,
To determine the reduced paid-up insurance value and the annual premium,
We need to use the information given and the following formulae:
The cash value of a policy is the amount of money that the policyholder would receive if they surrendered the policy before it matured.
The net amount at risk is the difference between the face value of the policy and the cash value.
The present value of a policy is the sum of the net amount at risk and the present value of the future premiums.
We are given that:
The policy is a 20-Year Endowment insurance policy, purchased when the policyholder was 40 years old.
The face value of the policy is $85,000.
The policyholder is now 50 years old.
The permanent insurance amount is $48.20 per thousand.
We need to determine the reduced paid-up insurance value and the annual premium.
We can use the following steps to determine the reduced paid-up insurance value and the annual premium:
Step 1: Calculate the cash value of the policy
The cash value of the policy can be calculated using the following formula:
Cash value = (Present value of future endowment benefits) - (Present value of future premiums)
We are given that the policy is a 20-Year Endowment policy, so the endowment benefit is $85,000. We can use the following formula to calculate the present value of the future endowment benefits:
Present value of endowment benefits = Endowment benefit / (1 + i)n
where i is the interest rate and n is the number of years.
Since the policyholder is 50 years old and the policy has 10 years left, we can assume an interest rate of 4% and calculate the present value of the endowment benefits as follows:
Present value of endowment benefits = $85,000 / (1 + 0.04)^10 = $48,598.20
We can calculate the present value of future premiums using the following formula:
Present value of future premiums = Net amount at risk / (Present value of an annuity due of $1 for n years, at i%)
where n is the number of years and i is the interest rate.
Since the policyholder has paid premiums for 10 years, there are 10 years left to pay. Using the same interest rate of 4%, we can calculate the present value of an annuity due of $1 for 10 years as follows:
Present value of an annuity due of $1 for 10 years, at 4% = 7.3601
We can now calculate the net amount at risk as follows:
Net amount at risk = Face value - Cash value
Face value = $85,000
Cash value = $48,598.20 + (Annual premium x Present value of an annuity due of $1 for 10 years, at 4%)
Net amount at risk = $85,000 - $48,598.20 - (Annual premium x 7.3601)
Step 2: Calculate the reduced paid-up insurance value
The reduced paid up insurance value is the amount of insurance that the policyholder can receive without paying any more premiums. It can be calculated as follows:
Reduced paid up insurance value = Cash value / Permanent insurance amount
Using the cash value calculated in Step 1 and the permanent insurance amount of $48.20 per thousand, we can calculate the reduced paid up insurance value as follows:
Reduced paid up insurance value.
= $48,598.20 / ($48.20 x 85)
= $6,692.83
Step 3: Calculate the annual premium
The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would
Thus,
The reduced paid-up insurance value is $6,692.83.
The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would
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connor went to new york for vacation. he spent 3 nights at a hotel and rented a car for 4 days. jillian stayed at the same hotel, but spent 4 nights and rented a car for 5days from the same company. if connor spent $675 and jillian spent $875 how much did one night at the hotel cost ?
A.$75
B.$100
C.$125
D.$150
Answer : C: $125.
Hopefully that helps you ! have a good day !
How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00
Answer:
$613.35
Step-by-step explanation:
As 1.45% of employee's pay check goes to the Medicare, so
Total pay of Kasey in next year=$42300
Amount to be paid to medicare=1.45% of Kasey^' s pay
=42300* 1.45/100
=42300* 145/10000
= 6133500/10000
=613.35
Kasey will have to pay $613.35 to Medicare.
Is change in math always represented as a positive number even when its negative?
What is 35.77 rounded off to the nearest whole number
Answer:
36
Step-by-step explanation:
since the .77 is larger than .5, you automatically round it up
Answer:
36
Step-by-step explanation:
The number 35.77 is closest to 36. It's all about the destimal, if we had 35.44 that's not above 50 so it would be 34. This would apply to any whole number.
A cereal company finds that the more it spends on advertising, the more boxes of cereal it sells. Which of the following graphs could represent the sales of the cereal company?
A. Graph Y
B. Graph X
C. Graph Z
D. Graph W
Hello there!
_________________________________
In this problem, it says the more it advertises, the more it sells. In this case then, C. Graph Z, would be your answer since it shows the increase of both
_________________________________
I hope I helped
Brainlyiest?
X8lue83rryX
Answer:
The correct answer option is C. Graph Z.
Step-by-step explanation:
We are given that a cereal company finds that the more it spends on advertising, the more boxes of cereal it sells.
It means that the advertising is directly proportional to the number of boxes of cereal sold.
Therefore, the sales of the cereal company can be represented by graph Z where the value of y increases as the value of x increases.
Consider circle H with a 5 centimeter radius. If the length of major arc RST is
25
3
π, what is the measure of ∠RST?
[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ r=5\\ s=\frac{25\pi }{3} \end{cases}\implies \cfrac{25\pi }{3}=5\theta \implies \cfrac{25\pi }{15}=\theta \implies \cfrac{5\pi }{3}=\theta[/tex]
Answer:
30
Step-by-step explanation:
Solve for x: (2/5)(x-4)=2x
Simplify brackets
2/5(x - 4) = 2x
Simplify 2/5(x - 4) to 2(x - 4)/5
2(x - 4)/5 = 2x
Multiply both sides by 5
2(x - 4) = 10x
Divide both sides by 2
x - 4 = 5x
Subtract x from both sides
-4 = 5x - x
Simplify 5x - x to 4x
-4 = 4x
Divide both sides by 4
-1 = x
Switch sides
x = -1
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
B = 103°, a = 12 cm, c = 22 cm
Answer:
The area of the triangle is [tex]128.62\ cm^{2}[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
The area of a triangle is equal to
[tex]A=\frac{1}{2}(a)(c)sin(B)[/tex]
substitute the values
[tex]A=\frac{1}{2}(12)(22)sin(103\°)[/tex]
[tex]A=128.62\ cm^{2}[/tex]
which value could be the length of the missing side of the triangle?
A. 5
B. 7
C.17
D.12
The correct answer is B.
Hope this helps.
Joan wants to reduce the area of her posters by one-third. Draw lines to match the original dimensions in the left column with the correct new area in the right column. Not all dimensions will have a match.
Answer:
1) [tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]
2) [tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]
3) [tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]
4) [tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]
Step-by-step explanation:
Verify each case
case 1) [tex]30\ in\ by\ 12\ in[/tex]
Find the area with the original dimensions
[tex]A=30(12)=360\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]360/3=120\ in^{2}[/tex]
therefore
[tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]
case 2) [tex]30\ in\ by\ 18\ in[/tex]
Find the area with the original dimensions
[tex]A=30(18)=540\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]540/3=180\ in^{2}[/tex]
therefore
[tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]
case 3) [tex]12\ in\ by\ 15\ in[/tex]
Find the area with the original dimensions
[tex]A=12(15)=180\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]180/3=60\ in^{2}[/tex]
therefore
[tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]
case 4) [tex]18\ in\ by\ 15\ in[/tex]
Find the area with the original dimensions
[tex]A=18(15)=270\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]270/3=90\ in^{2}[/tex]
therefore
[tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]
What is the monthly interest rate corresponding to 24% apr
Answer:
To calculate the monthly accrued interest on a loan or investment, you first need to determine the monthly interest rate by dividing the annual interest rate by 12. Next, divide this amount by 100 to convert from a percentage to a decimal. For example, 1% becomes 0.01.
Step-by-step explanation:
435,098 rounded to the nearest ten thousand place is ?
Answer:
440,000
Step-by-step explanation:
435, the ten thousands place is the 2 place in the 435, so 5 rounds up, so 440 is what it round o, and everything else becomes 0.
435,098 rounded to the nearest ten thousand place is Option (E) 440,000.
Process of rounding off -Rounding off is the process used when a number is formed from the approximated value to tens, hundreds or thousands places. Rounding off is applied to a certain number to find the closest value after that number.
How to round off the given number in the question ?The number given is 435098.
Thus rounding off the number to nearest thousand will give us the closest value after that number in the thousand place of the digit of number.
Therefore from the Options given, the correct rounded off number is Option (E) 440,000.
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write an expression to represent:
Eight less than the product of two and a number X.
2X - 8 is used to represent Eight less than the product of two and a number X.
How to write the equationTo represent "Eight less than the product of two and a number X" as an expression, we can use the following equation:
2X - 8
In this expression, 2X represents the product of two and the number X, and subtracting 8 from it gives us "eight less than the product of two and a number X."
The product of two and the number X is obtained by multiplying 2 and X, which gives us 2X.
The expression "2X - 8" then subtracts 8 from the product 2X. This subtraction of 8 represents "eight less than" the product of two and a number X.
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PLEASE HELP !! I will give brainliest to whoever answers !!
Answer:
90 cm^2
Step-by-step explanation:
The scale factor between triangle ABC and triangle PQR is 4:6 or 2:3
The scale factor is 2/3
When relating areas, we use the scale factor squared
Area of ABC = scale factor squared * Area of PQR
40 = (2/3) ^2 Area of PQR
40 =4/9 Area of PQR
Multiply each side by 9/4
40 *9/4 = 9/4 *4/9 * Area of PQR
90 = Area of PQR
When we work with lengths of similar figures, we multiply by the scale factor.
When we work with areas of similar figures, we have a length and a width, so we are really multiplying by the scale factor two times, or the scale factor squared.
A = l*w
A = SF (l) * SF (w)
= SF ^2 lw
So the area of the new figure is the scale factor squared times the area of the old figure.
A new = SF^2 A old
To get from the old figure to the new figure we multiply by 6/4 or 3/2
A new = (3/2)^2 (40)
A new = 9/4 * 40
= 90
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet of sand. Did the customer buy too much or too little sand? Justify your answer
Answer:
Customer has bought too much sand
Step-by-step explanation:
Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.
Volume of a rectangular box = Length * Width * Height
=> 6*5*1.2
=> 36 cubic feet
As mentioned, customer bought a sand box and 40 cubic feet of sand.
So,
Volume of rectangular box (R) = 36 cubic feet
Volume of Sand (S) = 40 cubic feet
From analysis
S > R
Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.
Therefore, customer has bought too much sand.
PLEASE HELP I'M TIMED
Really hope i'm right
1st row
the first one is length less than 10
one next to it is width greater than 5
next to that is length greater than 10
2nd row
the first one is length greater than 10
one next to that is width less than 5
next to that is width greater than 5
3rd row
first one is width less than 5
and last is length less than 10
The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?
Answer: -11
Step-by-step explanation:
(n+8)* -4= 12
-8 -8
n* -4= 12
/-4 /-4
n= -11
Based on the calculations, the unknown number (n) is equal to -11.
How to find an unknown number?In this exercise, you're required to find an unknown number (n). Thus, we would translate the word problem into an algebraic expression as follows:
The sum of a number (n) and 8:
n + 8
Multiplying by -4, we have:
(n + 8) × -4 = 12
-4n - 32 = 12
-4n = 12 + 32
-4n = 44
n = -11.
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Expanded expression of -12(4x+8)
Answer:
-48x-96
Step-by-step explanation:
Split the angle using the sum and difference formulas and simplify.
show that 9a + 3b has a greater value than 3x + 4y (photo provided)
[tex]3a + b = 7\Leftrightarrow 3(3a + b) = 3 \times 7\Leftrightarrow 9a + 3b = 21 \: (1)\\ 6x + 8y = 40\Leftrightarrow \frac{2(3x + 4y)}{2} = \frac{40}{2} \Leftrightarrow 3x + 4y = 20 \: (2) \\ (1),(2)\Rightarrow 9a + 3b > 3x + 4y[/tex]
[tex]\bf \begin{array}{lll|llll} 3a+b&=&7&&6x+8y&=&40\\&&&&&\\ 3(3a+b)&=&3(7)&&\frac{1}{2}(6x+8y)&=&\frac{1}{2}(40)\\&&&&&\\ 9a+3b&=&21&&\frac{6x}{2}+\frac{8y}{2}&=&\frac{40}{2}\\&&&&&\\ 9a+3b&=&21&&3x+4y&=&20 \end{array}\\\\ ~\hspace{7.5em}21>20[/tex]
If you help me U will be my HERO
Answer:
1. 24 in^2
2. 51 in^2
3. 286 cm^2
4. 90 m^2
5. 60 cm^2
6. 57.06 m^2
7. 185 ft^2
8. 13.5 in^2
9. 252 ft^2
10. I'm not quite sure how to do this one
11. 315 m^2
12. 322 ft^2
13. I cant see all of this one
14. 39 in^2
15. 100 in^2
16. 72.5 in^2
Some of the numbers were very blurry and did my best to make them out so If I got any of them wrong I apologize.
Answer:
im about a year and a half late but please give him brainliest
Step-by-step explanation:
Matteo is centering a poster on the back of a door that is 32 inches wide. The poster is 18 1/2 inches wide. How far from the edge of the door should Matteo hang the poster?
Answer:
2929 feet away from the door
Step-by-step explanation:
The area of Texas is about half the area of Alaska. Alaska has an area of approximately 5.6 × 10.5 square miles. What is the approximate area of Texas?
Answer:
Step-by-step explanation:5.6 times 10.5=58.8sq miles, divide by 2 because it is half, so 29.4 is the approximate of area thing
Answer:
The answer is 29.4 miles squared.
What is the first step needed to solve 2/5 x -6= -16 ?
Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2
Please help me with number 7
Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
A cone-shaped paper cup is 2.5 inches high and has a radius of 1.5 inches. What is its volume to the nearest hundredth?
Plz Help
Answer: 5.89 cubic inches.
Step-by-step explanation:
you use the formula v=pi radius squared h/3
Answer:
5.9
Step-by-step explanation:
Consider the graph of the quadratic function y = –2(x + 2)2 – 1 with no real zeros. What number can be added to the right side of the equation to change it to a function with one real root?
Answer:
The number is +1
Step-by-step explanation:
we have
[tex]y=-2(x+2)^2-1[/tex]
This is the equation of a vertical parabola with vertex at point (-2,-1)
The function has no real zeros
we know that
If the number +1 is added to the equation on the right side
then
[tex]y=-2(x+2)^2-1+1[/tex] -------> [tex]y=-2(x+2)^2[/tex]
Is a translation one unit up
The vertex of the parabola will be the point (-2,0) and the function will have one real root
see the attached figure to better understand the problem
Answer:
1
Step-by-step explanation:
On a piece of paper , graph y>2x-3. Then determine which answer choice matches the graph you drew
Answer:
C
Step-by-step explanation:
Since it is greater than or equal to, the graph line is a solid line.
Then, since we know that it is greater than, we know that we can shade above the graph line.
To check this, all you have to do is choose a random point in the shaded region and plug it in the equation. If it checks out, it is correct.
Answer:
Graph represented by option C is the correct choice.
Step-by-step explanation:
We are asked to graph an inequality [tex]y\geq2x-3[/tex].
The boundary line of our given inequality will be a solid line as we have greater than or equal to [tex]\geq[/tex] sign.
The boundary line of our given inequality would be [tex]y=2x-3[/tex].
Now, we will test point (0,0) to shade in the correct region as:
[tex]0\geq2(0)-3[/tex]
[tex]0\geq0-3[/tex]
[tex]0\geq-3[/tex]
Since the point (0,0) is a solution for our given inequality, therefore, the shaded area of our inequality will include point (0,0).
Please find the attachment.