Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).
Answer:
2340 degrees.
Step-by-step explanation:
The sum of the interior angle measures of any polygon can be calculated using the following expression ([tex]n[/tex] is the number of sides the polygon has):
[tex]180(n-2)[/tex]
For a 15-sided polygon, plug in 15 for n and simplify:
[tex]180(15-2)=180(13)[/tex]
Multiply to solve:
[tex]180(13)=2340[/tex]
For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).
The sum of the interior angles of a fifteen-sided polygon is 2340°.
What is the formula for interior angle of a regular polygon?The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
Given that, a fifteen-sided polygon.
Now, the sum of the interior angle measures is
(15-2)×180°
= 13×180°
= 2340°
Therefore, the sum of the interior angle measures is 2340°.
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pls help will give brainisest.
Find the length of A.
Answer:
If i'm correct I think that the length of a would be 4 because it shorter then five just by a minuscule measure .
Step-by-step explanation:
I Need Help!! Its Homework
Given the equation kx – 17 = 51 + x, where k=1, solve for X.
Answer:
No solution for x, when k = 1x = 68/(k - 1), when k≠ 1Step-by-step explanation:
Given the equation
kx – 17 = 51 + x, where k = 1,Solve for x:
1*x - 17 = 51 + xx - 17 = x + 51x - x = 51 + 170 = 68,Incorrect equation, no solution for x when k=1
Solving for x when k ≠ 1
kx - 17 = 51 + xkx - x = 51 + 17x(k - 1) = 68x = 68/(k - 1)What is the equation of the line in slope-intercept form
Answer:
y = -3/5x - 2
Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?
Answer:
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Step-by-step explanation:
Let the age of Alicia be x
Let the age of Quentin be y
Let the age of Rosalyn be z
If the sum of the siblings’ ages, in years, is 48 then;
x+y+z = 48.... 1
If Rosalyn is two years older than Quentin then;
z =y+2 ..... 2
Also if Quentin is four years younger than Alicia then;
y = x-4 ... 3
From 3:
x = y+4 ... 4
Substitute 2 and 4 into 1 to have:
y+4+y+y+2 = 48
3y + 6= 48
3y = 48-6
3y= 42
y = 14
Since x= y+4
x = 14+4
x = 18
Since z = y+2
z = 14+2
z = 16year
This means that;
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Determine the perimeter of a rectangle with a length of 6 inches and a width of 1 foot.
O 14 inches
O7 inches
O 36 inches
O 18 inches
Answer:
36
Step-by-step explanation:
How many different 5-digit whole
numbers can be made using the
digits: 2,3,4,5, and 6 when each
digit can be used once only?
Answer:
120
Step-by-step explanation:
so
?????this 5 interrogative marks are our 5 digit number
for the first place you have 5 choices(2, 3, 4, 5, 6)
for the second:4
for the third:3
for the fourth:2
and for the fifth:1
you multiply this choices
5×4×3×2=120
7+1-8-5||
(1-4) +17
What the answer
Answer:
Step-by-step explanation:
-5(3)+13
calculate the distance between the two points shown on the graph below give your answer correct to 2 decimal places if necessary
Answer:
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=
=16+9−−−−−√=25−−√=5
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
(x1+x22,y1+y22)
What is 700,000+9,000+60+7 in Standard form
Answer:
709,067
Step-by-step explanation:
add them together from greatest to least
?? anyone know thank you❤️
Answer: 9/8
Step-by-step explanation:
you turn 1/2 into 4/8 and add that to 5/8 to get 9/8
Pick any Martin Luther king speech and pick an inspirational reason why you chose that reason
Answer:
I Had A Dream speech
Step-by-step explanation:
Because Martin Luther king jr. had a speech and it was about his dream to make America better again
Helppppp!!! Please I need it now
Answer:
(6,9)
Step-by-step explanation:
3178 rounded to nearest thousand
Answer:
the answer is 3000, hope it helped :-)
if the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is
Answer:
10cm^2
Step-by-step explanation:
The parallel sides of a parallelogram is 2cm apart
Their sum is 10cm
Therefore the area can be calculated as follows
= 2 ×10/2
= 20/2
= 10 cm^2
Hence the area is 10cm^2
Two glasses contain orange juice.
A 400ml glass is 40% full.
A 300ml glass is half full.
Which glass contains less orange juice?
Plz give explanation too
Step-by-step explanation:
Amount of orange juice in 400ml glass
= 400ml * (40%/100%) = 160ml.
Amount of orange juice in 300ml glass
= 300ml * (1/2) = 150ml.
Since 150ml < 160ml, the 300ml glass contains less orange juice.
The second glass has less amount of orange juice.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Two glasses contain orange juice.
⇒ A 400ml glass is 40% full.
⇒ A 300ml glass is half full.
Now,
Since, Two glasses contain orange juice.
A 400ml glass is 40% full.
A 300ml glass is half full.
Hence, The amount of juice in first glass is,
⇒ 40% of 400
⇒ 40/100 × 400
⇒ 160 ml
And, The amount of juice in second glass is,
⇒ 300 / 2
⇒ 150 ml
Hence, The second glass has less amount of orange juice.
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You'd like your pendulum to take 20 seconds to complete a cycle. How long will the pendulum need to be? Is this reasonable in your building, which is planned to be 20 feet high
Answer:
It would need to be 324.23 feet high (not reasonable)
Step-by-step explanation:
If you plug it into the pendulum formula given T = 2 π √(L/32), all you would have to do is set T=20 and solve for L
You would end up getting 3200/(π²)
this is equal to 324.227
This was the formula given to me by the assignment, not sure if it is the same on yours. Good luck! ;)
I need help solve and explain it plz and this you will get 20 points
Answer:
Y=-1
Step-by-step explanation:
-4(y-2)
-4y+8=12
-8. -8
-4y=4
-4. -4
y=-1
Answer: Y = -1
Step-by-step explanation:
This is solved using the distributive property.
1. Distribute, so now it should look like -4y + 8 = 12
2. Now subtract the 8 from both sides to isolate -4y = 4
3. Divide -4 on both sides to get y = -1
an object is dropped from the too of a tower with a height of 1120 feet. neglecting air resistance, the height of the object at a time t seconds is given by the polynomial
Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
Answer:
I think it's wrong but.....2.7
Step-by-step explanation:
15:100=0.15
0.15×18=2.7
. 3(s - 8) + -13 = 5
Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
don’t mind my crusty computer
Answer:
Okay
Step-by-step explanation:
Answer:
R.I.P adrians hat
Step-by-step explanation:
The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represent the first number and let y represent the second number. What is the value of the first number? Use the table to guess and check.
Step-by-step explanation:
x+y=40
y=2x-5
[tex]x = 40 - y \\ y = 2(40 - y) -5 \\ y = 80 - 2y - 5 \\ 3y = 75 \\ y =25 \\ x = 40 - y \\ x = 15[/tex]
what is the slope of (-3,5) and (2,0)
Answer:
is there anymore to the question?
Step-by-step explanation:
Which of these is a unit rate? (from time4learning)
(A). $3.50 for 2 gallons of juice
(B). $5.00 for 3 pounds of cheese
(C). $4.25 for 1 watermelon
(D). $2.75 for 6 hamburger rolls
Answer:
B
Step-by-step explanation:
Can anyone solve this for me? Ty:)
Answer:
2x^2 + 6x + 2
Step-by-step explanation:
5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =
= 5 + 3x - x^2 + 3x^2 + 3x - 3
= 2x^2 + 6x + 2
You have a 12 inch ruler being used as a miniature seesaw. A pencil is placed under the 4 inch mark. A weight is placed at the 2 inch mark that balances the seesaw. Now the uneven seesaw is balanced. if you then placed a pencil at the 12 inch end, how many similar pencils approximately will you need to place at the other 1 inch end to get a balance again?
Answer:
The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils
Step-by-step explanation:
The given parameters are;
The length of the ruler used as a seesaw = 12 inch
The location where the pencil is placed = Under the 4 inch mark
The location where the weight is placed to balance the seesaw = The 2 inch mark
Therefore, the pencil at the 4 inch mark is fulcrum
The location where a pencil is placed on the ruler = The 12 inch end
The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;
The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches
The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches
Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;
The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches
x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)
x = 8/3 = 2.[tex]\overline 6[/tex] ≈ 3 pencils
The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.
Find the volume of a right circular cone that has a height of 16 m and a base with a
circumference of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
The volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m is 3,620.62 m³
Step-by-step explanation:
The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.
The volume of a 3-dimensional solid is the amount of space it occupies.
The volume V of a cone with radius r is one-third the area of the base B times the height h. This is:
[tex]V=\frac{1}{3}*A*h[/tex]
where A=π*r²
Then: V=[tex]\frac{1}{3}[/tex] *π*r²*h
In this case r=14.7 m and h=16 m. Replacing:
V=[tex]\frac{1}{3}[/tex] *π*(14.7 m)²*16 m
Solving, you get:
V=3,620.62 m³
The volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m is 3,620.62 m³