Answer:
a) interior angle: 156°
b) exterior angle: 24°
Step-by-step explanation:
b)The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...
360°/15 = 24°
__
a)The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...
180° -24° = 156°
_____
Additional comment
We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.
Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential
Answer:
(4) exponentialStep-by-step explanation:
According to given, the function is:
A = P(1 + r)ⁿor
A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰This is an exponential relationship
Correct choice is (4)
To determine the money Eric will have in his bank account, he needs to use an exponential function.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.
Here, S = sum of money after the total period of investment.
P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.
Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3
Hence, after 10 years, Eric will have $705.3 in his bank account.
Learn more about compound interest here: https://brainly.com/question/25857212
#Tag #SPJ2
An online clothing company sells custom sneakers. The company charges $26.50 for each pair of shoes and a flat fee of $3.99 for shipping. Write a linear function that represents the total cost, y, in dollars, for a single order of x sneakers.
Answer:
6.50x + 3.99
Step-by-step explanation:
Every order of sweat shirts is charged $3.99
Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.
Solve the simultaneous equations
x + y = – 6
-x + 2y = 15
Answer:
x = -9, y = 3
Step-by-step explanation:
I hope it helps!
If d varies directly as t and d=20.5 when t =12 find the value of constant
Answer:
12÷20.5= 0.5953658537
find the percentage change and classify as an increase or decrease
2004 cost: $18.77
2006 cost: $19.17
Answer:
this is 2% increase
Step-by-step explanation:
to find percent change,
big - small
---------------
original
19.17-18.77
-------------- = 0.021
18.77
round: 0.02 or 2%
jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey
how to do the first question?
Answer:
DUDE MAYBE SHOW THE GRAPH ????
Rachel has 16 chocolate bars . Tracy takes 4 and asks for the remaining quarter. what would she end up with?
Answer:
Rachel ends up with 9 chocolate bars.
Step-by-step explanation:
16 - 4 = 12
quater is 1/4, so
12 / 4 = 3
12 - 3 = 9
Answer:
9 chocolate bars
Step-by-step explanation:
Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.
Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.
That leaves Rachel with 9, because 12 - 3 is 9.
Express as a power of 2
(2/root8)^3
[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST AND 100 POINTS
Answer:
answer down below:
https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard
Step-by-step explanation:
Answer:
4, 7.5
Step-by-step explanation:
4. (x+6)(x+10)=140 ->
x=4
5. 550 = 8(x-2)(x+5) ->
x=15/2=7.5
Hope that helps! :)
can someone help me with this sum please
Answer:
See below...
Step-by-step explanation:
v * 7x = 7vx
8c * 6e = 48ec
3a * 4a = 12a^2
8xw * 2w = 18xw^2
8mn * 3m^2n = 24m^3n^2
4acx * 5ax^2 * 6c = 120a^2c^2x^3
4m * 4n = 16mn
3x * 4x = 12x^2
5w * 3wx = 15w^2x
6c * 5ac^2 = 30ac^3
9wx^2 * 6w^2x = 54w^3x^3
9a^2c * 4ac^2e^3 = 36a^3c^3e^3
Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?
Answer:
8 weeks
Step-by-step explanation:
Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.
First, we have to look at the difference which is 2. How many 1/4ths makes 2?
8.
Therefore, 8 weeks would be your answer.
-kiniwih426
answer this pls!!...
help me out
-sry for my bad handwriting
Answer:
i cant read it
can u type so i can help?
Step-by-step explanation:
when you have an inequality with a variable on both sides what would you use to put all variables on one side and all constants on the other?
Answer:
Properties of Inequality
Addition Property of Inequality[tex]x - 3 = 9\\x-3 +3 = 9 + 3\\x= 9 + 3[/tex]
Subtraction Property of Inequality[tex]x+3<9\\x+3-3<9-3\\x<9-3[/tex]
Multiplication Property of Inequality[tex]\frac{1}{2}x<4\\\frac{2}{1} * \frac{1}{2}x < 4 * \frac{2}{1}\\x < 8[/tex]
Division Property of Inequality[tex]2x < 4\\\frac{2x}{2} < \frac{4}{2}\\x < 2[/tex]
Note: When you multiply or divide with a negative number. Flip the sign.
Step-by-step explanation:
search it up
-6(2v)+3a(3); v=1/3 a=2/3
Answer:
0
Step-by-step explanation:
-6(2(1/3)+3(2/3(3))=
Starting with pedmas (parenthesis, exponents, division, mulitplication, addition, subtraction).
We look at 2*1/3 and 2/3*3
[tex]2*\frac{1}{3}=\frac{2}{3}[/tex] and [tex]\frac{2}{3}*3=2[/tex]
[tex]-6(\frac{2}{3})+3(2)[/tex]=-6+6=0
[tex]v = \dfrac 13 ,~ a = \dfrac 23\\\\-6(2v) +3a(3)\\\\=-12v + 9a\\\\=-12\left(\dfrac 13 \right) + 9 \left( \dfrac 23 \right)\\\\=-4+ 3 \cdot 2 = -4 +6 = 2[/tex]
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.
tim drives at an average of 80km
Answer:
80km --- 49.7097mi
Step-by-step explanation:
thats quite slow... but please provide context then i can solve it for you
What is the slope of a line that passes through the points (8, 3) and (−3, 3)?
A. -8
B. 0
C. 1
D. undefined
Pasagot nga po, need ko na po kasi now
Answer:
0
Step-by-step explanation:
m = 3-3/8-(-3)
m = 0/11 = 0
plz help! so hardddddddd
Answer: The average temperature on Earth has risen.
Step-by-step explanation:
If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s
Write an equation that represents this question below ...
pls help me find the answer-
Answer:
answer in pic, hope it helps
Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.
Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.
We want to define and solve a linear equation to model the given case.
The answers are:
a) x = number of tickets, y = total cost.
b) y = $1.35*x + $6.35
We know that:
The tickets for each ride were $1.35 per ticket.
Paul purchased 30 tickets
He spent a total of $46.85 (on tickets and admission)
The cost for the 30 tickets is:
30*$1.35 = $40.50
a) Now we can define two variables:
y = total cost
x = number of tickets
b) the linear equation would be:
y = $1.35*x + P
Where P is the price of admission.
And we know that the total cost for 30 tickets is $46.85, then we have:
$46.85 = $40.50 + P
$46.85 - $40.50 = P = $6.35
So the admission price is $6.35
This means that the linear equation is:
y = $1.35*x + $6.35
c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).
If you want to learn more, you can read:
https://brainly.com/question/13738061
The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.
Answer:
First side is 15 m.
Second side is 13 m.
Third side is 21 m.
Step-by-step explanation:
Let x be the second side of the triangle = x
The first side of a triangle is 2 longer than the second side = x + 2
The third side is 5 shorter than twice the second side. = 2x - 5
Perimeter = 49 m
The formula for finding the perimeter of triangle is:
P = a + b + c
Put the values in the formula
49 = x + x + 2 + 2x - 5
49 = 4x - 3
Use APE or Addition Property of Equality
49 + 3 = 4x
52 = 4x
Use DPE or Division Property of Equality to find the value of x
[tex]\frac{52}{4} = \frac{4x}{4}[/tex]
13 = x
Now put the value of x in the equation
First side( x + 2) = 13 + 2 = 15
Second side( x ) = 13
Third side (2x - 5) =
2(13) - 5
26 - 5
= 21
is this the correct answer
Answer:
Step-by-step explanation:
correct.
Answer:
see attached
Step-by-step explanation:
The requested plot is only for that portion of the line that exists between the two points shown.
5x+y=-2y-31. 2y+10=-4x-12
What is the X and Y
Answer:
x= -0.1818
y= 10.6363
Step-by-step explanation:
HELPPPPP!!As soon as possible
Answer:
answer is D :
√24 = 4.89
which is the nearest to 5 and possible answer
Solve equations with variables on both sides
1/3+5/3r–r=2r
Answer:
r=1/4
Step-by-step explanation:
Answer:
r = 1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](\frac{5}{3}r - r) + (\frac{1}{3}) = 2r[/tex] [tex]\frac{2}{3}r+\frac{1}{3} = 2r[/tex]Step 2: Subtract 2r from both sides.
[tex]\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r[/tex] [tex]\frac{-4}{3}r+\frac{1}{3}=0[/tex]Step 3: Subtract 1/3 from both sides.
[tex]-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}[/tex] [tex]-\frac{4}{3}r=-\frac{1}{3}[/tex]Step 4: Multiply both sides by -3/4.
[tex]-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}[/tex] [tex]r = \frac{1}{4}[/tex]Therefore, r = 1/4.
oletha rapples from the top of a cliff at a rate of -6 inches per second. It takes oletha 4 minutes to reach the bottom of the cliff. What is the height of the cliff in feet?
Answer:-120
Step-by-step explanation:multiply -6 by 60 seconds which it will give you -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120
how to simplify 3x - 20
Answer:
-60
Step-by-step explanation:
you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number
Help Me WHAT is 2 + 2
Answer:
4
Step-by-step explanation:
Answer:
= 42 + 2 = 4
Step-by-step explanation:
yw :-)