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Work Shown:
n = number of sides = 17
S = sum of the interior angles of a polygon
S = 180(n-2)
S = 180(17-2)
S = 180*15
S = 2700
Answer:
2,700°
Step-by-step explanation:
Total degree measure for all the interior angles of a 17-gon
[tex] = (n - 2) \times 180 \degree \\ \\ = (17 - 2) \times 180 \degree \\ \\ = 15 \times 180 \degree \\ \\ \huge \red { \boxed{ = 2,700 \degree}}[/tex]
A point on a graph is located at (5,8). It is rotated 90 degrees
counterclockwise. What are the new coordinates? So get a graph and plot
the points to find out where the new coordinate is....OR just use the math
version of rotation. Either way works!!!
Answer:
Your answer would be (-5,8). Hoped I could help.
Step-by-step explanation:
Answer:
The answer for your question is (-5,8), Which woul also be in Quadrant ll
please help (due in 8 minutes!! have a blessed day/night)
Answer:
13
Step-by-step explanation:
[tex]--› \: \: \:3x + \frac{1}{4} {y}^{2} [/tex]
Insert values
[tex]--› \: 3(3) + \frac{1}{4} {4}^{2} [/tex]
multiply 3 by 3
[tex]--› \: 9 + \frac{1}{4} {4}^{2} [/tex]
follow PEDMAS of operation
Calculate exponents 4[tex]{}^{2}[/tex]
[tex]--› \:9 + \frac{1}{4} \times 16[/tex]
divide 16 by 4
[tex]--› \: 9 + 4[/tex]
add 9 to 4
[tex]--› \: 13[/tex]
Gabriel put $6000 in a 5-year CD paying 4% interest compounded monthly. After 2 years, he withdrew all his money, and as an early withdrawal penalty, he paid back all the interest he made during the first year. How much money was Gabriel left with?
Using compound interest, it is found that Gabriel was left with $6,255.
What is compound interest?The balance, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which the parameters are given as follows:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.In the context of this problem, the values of these parameters are as follows:
P = 6000, t = 2, r = 0.04, n = 12.
The balance after two years is:
[tex]A(2) = 6000\left(1 + \frac{0.04}{12}\right)^{24}[/tex]
A(2) = 6499.
The balance after one year is:
[tex]A(1) = 6000\left(1 + \frac{0.04}{12}\right)^{12}[/tex]
A(2) = 6244.
The interest paid on the first year was:
A(1) - P = 6244 - 6000 = 244.
Hence the amount that he was left with is:
6499 - 244 = $6,255.
More can be learned about compound interest at https://brainly.com/question/24924853
#SPJ1
Answer:
Step-by-step explanation:
6254.41
The radius of a circle is 11 feet. What is the circle's area? Use 3.14 for
Answer:
Formula for area of a circle;
A = πr^2
where pi is 3.14 in this case, and r is the radius squared
Plug in the actual values;
A = 3.14 x 11^2
A = 3.14 x 121
A = 379.94 square feet
To the nearest millimeter, a cell phone is 135 mm long and 48 mm wide. What is the ratio of the width to the length
Answer:
48:135
width:length replace width and length with the given value and thats where we get
Find the equation of the line shown
Answer:
Y = 1/2x + 1/2
Step-by-step explanation:
I'm not sure, but I think this is correct
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable and x is the dependent variable. 'm' represents the slope, and 'b' represents the y - intercept.
If we look at this graph:-
We can see that the line that intersects the y - axis is half of 1 which is 0.5, so that'll be our y-intercept.
It also rises one and goes over two so that'll be our slope.
To double check, we select two fixed points (1,1) and (3,2), we then divide the y-coordinates by the x-coordinates in the following order: (rise/run)
y2(second y-coordinate) - y1(first y-coordinate)
_____________________________________
x2(second x-coordinate) - x1(first x-coordinate)
2 - 1 1
_____ = ______, the slope is 1/2.
3 - 1 2
Now we format it in slope-intercept form:-
y = mx + b
y = 1/2x + 0.5
Where 1/2 is the slope, and 0.5 is the y-intercept
What is the solution of log (2 t 4) = log (14 minus 3 t)? –18 –2 2 10
The solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.
It is given that the [tex]\rm log(2t+4)=log(14-3t)[/tex].
It is required to find the value of 't'.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have:
[tex]\rm log(2t+4)=log(14-3t)[/tex]
Taking [tex]\rm log_1_0[/tex] base and removing the log from both sides.
[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]
Thus, the solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.
Learn more about the Logarithm here:
https://brainly.com/question/163125
Answer:
C or 2
Step-by-step explanation:
right on edge 2022
Help please I need it asap
Answer:
<2 ~= < 4 - Vertical Angles Theorem
<2 ~= <8 - Alternate Exterior Angles
<4 ~= <8 - Corresponding Angles Theorem
line I || line m - Transitive Property
check which of the following is a solution to the equation x-2y=4.
Answer:
solve for y y= -2+x/2
solve for x x=4+2y
Step-by-step explanation:
x-2y=4
+x =4+x
-2y = 4 + x divide both sides by -2
2 -2
y=-2 + x/2
x-2y=4
+2y=4+2y
x = 4+2y
Please help me ........
Answer:
How are we supposed to do this do we just write out every answer? :D
Step-by-step explanation:
An equilateral triangle has a height of 7 square root 3 cm. Find the perimeter of the triangle.
Answer:
42
Step-by-step explanation:
Explanation in image
An art teacher has 2 gallons of paint to pour into containers. If each container holds 1/3 gallon, how many containers can they fill?
Answer:
Six containers.
[tex]2 \div \frac{1}{3} = 6[/tex]
is f(x) = -3x + 4 and g(x) =2 solve for the value of x for which f(x) = g(x) is true
Answer:f(x)=-3+4
g(x)=2
that means:f(x) is -3 AND
g(x) is 2.
Step-by-step explanation:
A countertop is 16 feet long and 3 feet wide Tile costs $28 per square meter how much will it cost to cover the countertop with new tile
Answer:The total cost is about $124.86
Step-by-step explanation:
The area of the counter top is 16 ft by 3 ft so 16 x 3= 48. The area of the counter top is 48 ft squared.Then you have to convert it to meters squared, 48 x 0.092903 = 4.459244. Then multiply that by 28 to get your answer.4.459244 x 28 = 124.861632. The total cost is about $124.86
in an arithmetic sequence, the 5th term is equal to 75 and the 7th term is equal to 111 write an expression for the nth term of the sequence
Answer:
[tex]\bold{\underline{a_n=18n-15}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_5=a_1+d\cdot4\\\\a_7=a_1+d\cdot6\\\\a_7-a_5=a_1+6d-(a_1+4d)=2d\\\\111-75=2d\\\\2d=36\\\\d=18\\\\\\a_1+18\cdot4=75\\\\a_1=75-72=3\\\\\\a_n=3+18(n-1)=3+18n-18\\\\\underline{a_n=18n-15}[/tex]
1/3(1/2x-12)=1/2(2x+16)
Answer:
Rank Topic Problem Formatted Problem
1 Factor x^2‑4 x2−4x2‑4
2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16
3 Graph y=‑x^2 y=−x2y=‑x2
Step-by-step explanation:
What is the slope of the equation y = 4x - 3?
Answer:
4
Step-by-step explanation:
The slope-intercept form is mx + b = y.
According to the form, 4 = m which is also the slope.
What letter is located at approximately
√
22
22
?
A E
B F
C G
D H
Answer: B
Step-by-step explanation:
Pls help who ever gives a correct answer will get a brainlist and 100 points!!!
Answer:
a+3p
Step-by-step explanation:
l=a+4p-1p
l=a+3p
Hope this helps :)
Answer:
l = a + 3(p)
explanation:
upper length: a+ 4(p)
bottom length: p + l
As we can see both of them have equal length.Therefore,
p + l = a+ 4(p)
l = a + 4(p) - p
l = a + 3(p)
Alma was making soup, her recipe called for 24 potatoes, 15 carrots, and 4 stalks of celery.How many onions should she add, if it needs to be the same amount as the average of the potatoes and carrots?
Answer:
10
Step-by-step explanation:
Answer:
19.5
Step-by-step explanation:
First, we have to find the average of the pottoes and carrots. To do this we divide the sum of the potatoes and carrots by 2.
24+15=39
39/2=19.5
Alma will need 19.5 onions.
A bag has 2 green marbles and 10 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the
probability that it is a brown, glass marble?
Answer:
5/12Step-by-step explanation:
Total number of marbles:
2 + 10 = 12Number of brown marbles made of glass:
10/2 = 5Required probability:
P = 5/12What is the value of 2/11 dived by 3/11
Answer:
1/6
Step-by-step explanation:
Idk i just googled it
For each expression, combine like terms and write an equivalent expression with fewer terms. 3x + 5x - 1
Answer:
8x-1
Step-by-step explanation:
If you combine the like terms "the ones with x" you get 8x-1.
what is 12/8 in the simplest form
Answer:
3/2
Step-by-step explanation:
Answer: 3/2
Step-by-step explanation: 12 and 8 can be reduced by dividing them by 4, so 12/8 can be simplified to 3/2.
Help with Number 1 please
< A
Answer:
The angle A for the first question is equal to 43.6 degrees
Step-by-step explanation:
1st step:
[tex]\frac{sin\theta}{20} \times \frac{sin 90}{29}[/tex]
2nd step:
Take 20 to the other side.
[tex]sin \theta = \frac{20(sin90)}{29}[/tex]
3rd step:
Solve the right side and then take the inverse sin of the right side to get the value of theta and you get 43.6 degrees
[tex]\theta = 43.6[/tex]
I think of a number double it and add eleven. i get 25
a)use the statement above form an equation use the letter x for the uknown number
b) solve the equation
Answer:
see explanation
Step-by-step explanation:
(a)
let the number be x then doubling it is 2x and adding 11 is
2x + 11
(b)
the statement is equal to 25 , then
2x + 11 = 25 ( subtract 11 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
What is the range of this data set?
27,5,11,13,10,8,14,18,7
Help! Will mark brainliest! Promisw
Answer:
22
Step-by-step explanation:
Range is the highest value - the lowest value so in this case it's:
27-5 = 22
Help asap please I’ll give brainlyest A set of equations is given below:
Equation C: y = 4x + 8
Equation D: y = 4x + 2
Which of the following best describes the solution to the given set of equations?
O No solution
One solution
OTwo solutions
O Infinitely many solutions
Answer:
No solutions.
Step-by-step explanation:
Easy way to spot is to take the 4x term to the LHS.
[tex]y-4x = 8\\y-4x = 2[/tex]
You're required to find a quantity that is at the same time equal to both 8 and 2, which is obviously impossible.
There are two ways to figure this equation out.
Answer: O No solution
Way One - Graphing
We can graph the two equations. Points of intersection represent a solution to the set.
-> See attached.
Since there are no points of intersection, the answer is "O No solution"
Way Two - Analyzing the Equations
We can see that both of these equations have a slope of 4. We then can set them both equal to the y-intercept to see if they will have solutions.
y = 4x + 8
-> y - 4x = 8
y = 4x + 2
-> y - 4x = 2
Because 8 ≠ 2, but y - 4x = y - 4x, the answer is "O No solution"
RN means registered nurse. LP means licensed practical
nurse. What is the hourly pay for the LP? How much
more is the RN paid for a 40-hour work week than
the LPN?
Answer:
Answer: B. The law says you must write a new living will each time you re admitted to the hospital.
Explanation:
The law does not require that you make a new will whenever you are admitted to the hospital. Any existing will that has fulfilled the provisions of the law are biding unless the person decides to change the will of their own volition.
There is therefore no need to make a new will every time if there is already one in existence and the person is satisfied with it. The Registered Nurse should therefore correct this statement by the Licensed Practical Nurse.
Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee. (2 points)
638.54 + 159.50 − x ≥ 500; x ≥ $298.04
638.54 + 159.50 − x ≤ 500; x ≤ $298.04
638.54 − 159.50 + x ≥ 500; x ≥ $20.96
638.54 − 159.50 + x ≤ 500; x ≤ $20.96
Answer:
638.54 − 159.50 + x ≥ 500; x ≥ $20.96