Answer:
The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.
Step-by-step explanation:
Answer:
2880 degrees.
Step-by-step explanation:
The sum of the measures of any polygon is the number of sides minus two multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.
Hope this helps!
Brain-List?
The base of a traingular field is twice its altitude , If the cost of levelling the field , at the rate of rupess 10 per m2 is rupees 4,000 , find it base and altitude
Answer:
Base=40m and
Altitudes=20m
Step-by-step explanation:
Area of the field can be calculated as
Area= total cost / rate
Where total cost= 4,000 rupees
Rate= 10 per m2
Area of the field= 4000/10
= 400m^2
Let the altitudes be denoted as "x metre"
Then the base = 2x
Area= 1/2bh
Where b= base
h= altitudes
Then if we substitute we have
400m^2= 1/2× x × 2x
400= x^2
x= √400
x=20m
Then altitudes = 20m
the base = 2x= 2×20=40m
Hence, it base and altitude are 40m and 20m respectively.
Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.
Hint: Use areas of triangles...A=1/2bh
Answer :
[tex] \underline{ \boxed{x = \frac{2(A_T) }{(AB) + (AC) + (BC)} }}[/tex]
Explanation :
[tex]i \: figured \: it \: out \to \: notice \: that \\ there \: are \:( thre e\: trianges) \: in \: triangle \: ( ABC) \\ and \: they \: all \: have \: the \: same \: height \: = x \\ first \: triangle \: is \: \to \: triangle \: (ABD) \\ second\: triangle \: is \: \to \: triangle \: (ACD) \\ third \: triangle \: is \: \to \: triangle \: (BCD) \\ if \: the \: area \: of \: a \: triangle \: is \: = \frac{1}{2} bh : then \to \\ the \: area \: of \: triangle \: (ABD) = \frac{1}{2} (AB)x \\ the \: area \: of \: triangle \: (ACD) = \frac{1}{2} (AC)x \\ the \: area \: of \: triangle \: (BCD) = \frac{1}{2} (BC)x \\ let \: the \: total \: area \:(A_T) \: be \to \: \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ if \to\\ (A_T) = \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ then \to \\ (A_T) = \frac{1}{2} \{(AB)x + (AC)x + (BC)x \} \\ x \{(AB) + (AC) + (BC) \} = 2(A_T) \\ x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]
Expression representing the length 'x' will be, [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].
In-center of a triangle,In-center of a triangle defines the center of a circle inscribed in the triangles (touching all sides),Perpendicular drawn from in-center to the sides of the are equal in measures (radii of the inscribed circle).Use the hint → Area of the large triangle = sum of the small triangles inside the larger triangle
Area of ΔABC = [tex]\frac{1}{2}(AB)(AC)[/tex]
Area of ΔADC = [tex]\frac{1}{2}(AC)(x)[/tex]
Area of ΔBDC = [tex]\frac{1}{2}(BC)(x)[/tex]
Area of ΔADB = [tex]\frac{1}{2}(AB)(x)[/tex]
Since, Area of ΔABC = Area of ΔADC + Area of ΔBDC + Area of ΔADB
[tex]\frac{1}{2}(AB)(AC)=\frac{1}{2}(AC)(x)+\frac{1}{2}(BC)(x)+\frac{1}{2}(AB)(x)[/tex]
[tex](AB)(AC)=[(AC)+(BC)+(AB)](x)[/tex]
[tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex]
Therefore, expression representing the length 'x' will be [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].
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Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is y = 3x – 1. Which could be the other equation?
Answer:
to have an infinite number of solutions, the lines have to be on top of each other.....basically, they have to be the same line.
y = 3x - 1
-3x + y = -1.....multiply by -1
3x - y = 1 <== this would be ur other equation because if u put this in slope intercept form (y = mx + b), it would be the same as y = 3x - 1
Step-by-step explanation:
Amelia read 1 book in 3 months. What was her rate of reading, in books per
month?
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead?
The theoretical probability of selecting a rough bead is 1/2.
Total number of beads = 52
Number of rough beads = 26
Number of smooth beads =26
What is the probability?Probability is the measurement of possibilities.
P(event) = favorable outcomes/total outcomes
P(rough) = number of rough beads/ total beads
P(rough) =26/52
P(rough) =1/2
Therefore, the theoretical probability of selecting a rough bead is 1/2.
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Answer: 1/2
Step-by-step explanation:
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Help me please
Use the original price and the markdown to find the retail price.
Original price: $70; Markdown: 34%
what is the volume of this figure ?
A) 3x2x6
B)6x8x2
C)8x2x3
D)3x2x8x6
Answer:
Step-by-step explanation:
since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing. The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know. This is a bad question b/c it's making the appearance of being a right angle but it can not be. Like an Escher drawing.. not possible irl
The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
The missing height of the rectangular prism is 3 cm
It is given that:
The rectangular prism is shown in the picture with dimensions.
As we know, the volume of the rectangular prism is given by:
V = length×width×height
Length = 2 cm
Width = 8 cm
Height = 3 cm
The volume of this figure:
V = 2×8×3
Or
The volume of this figure V = 8×2×3 cubic in
Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.
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chile yall i need HALP
Answer:
indian ocean
Step-by-step explanation:
Sols the system 2x+y = 1 y = -2x^2+3x+1
Answer:y=(-2x+1) (x+1)
Step-by-step explanation:
2x+y=-2x^2 +3x+1
y=-2x^2+x+1
y=-2x^2 -2x+x+1
y=-2x(x+1) +1(x+1)
y=(-2x+1) (x+1)
I need help with this question?
Answer:
31
do 180-149 which gets you 31, 31 is the angle inside the triangle closest to 149. since the those 2 sides are congruent it makes the 2 angles congruent. then x=31
Identify The coefficients and constants of the expression 6n+8
f(x)=-3x²+2x-5
What is f(-1)?
Answer: f (-1) = 9
Step-by-step explanation:
You just have to substitute -1 for x
f (-1) = -3 (-1)^2 + 2 (-1) - 5
f (-1) = 3^2 + -2 - 5
f (-1) = 9 - 7
f (-1) = 2
I think I'm correct so I hope this helped!
[tex]f(-1)=-3.(-1)^{2} +2.(-1)-5\\=\\-3.1+(-2)-5\\-3+(-2)-5\\-5-5=-10[/tex]
Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
The perimeter of a regular decagon is 267m.
State the length of one of its sides??
Answer: 26.7m
Step-by-step explanation:
Since a decagon has 10 sides, you'll have to divide 267m by 10.
267÷10= 26.7
One side of the decagon is 26.7m
i need help im failing
Answer:
D because 0.75 in fraction form is 3/4 and 3/4 is greater then 2/3 which is the graphs rate of change.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither
Answer
ANGLE SIDE SIDE
Step-by-step explanation: Because you have an angle side side hope this helps
Can someone help me with this.
Answer:
the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
Step-by-step explanation:
The overlapping section(green colours common for both) while blue represents first factor and yellow represent second factor.
Solving:
The first part of the factor is considered horizontal rows (as shown in figure)
So, we have 3 horizontal rows and 2 rows are coloured so, the fraction will be: [tex]\frac{2}{3}[/tex]
For the second factor, we consider vertical columns (as shown in figure)
So, we have 5 columns and 3 columns are coloured so, the fraction will be: [tex]\frac{3}{5}[/tex]
So, the result will be:
[tex]\frac{2}{3}\times \frac{3}{5}=\frac{6}{15}[/tex]
So, the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
You are kayaking at a pace of 63 feet every 12 seconds. Your friend's pace is 21 feet every 2 seconds. Are you and your friend kayaking at the same pace? If not, who is faster?
Answer:
Your friend is kayaking faster.
Step-by-step explanation:
The way to approach this answer is by putting one of them in terms of the other. So that both are in terms of the same time. If you kayak 63 feet in 12 seconds how many feet do you kayak in 2 seconds? Simply divide by 6. 63/6 = 12/6. So, in 2 seconds (12/2) you kayak 10.5 feet (63/6). But your friend kayaks 21 feet in the same time... so he's going faster.
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1. The list of ordered pairs represents a function: (12,6) (3,1) (2,-2) (5,10) (-8,-4) ( _, _)
Which of the following could be the missing ordered pair?
A. (2,1)
B. (12,7)
C. (-8,8)
D. (-3,-4)
2. Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold.
A. y =31/3x + 500
B. y =15x + 425
C. y =33/2x + 425
D. y =15.05x +475
Answer:
1. D
2. y = 15.50x + 450
Step-by-step explanation:
1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.
2. x > (y - 450)/ 15.50
i) Rita gets paid $450 per week.
ii) She gets $15.50 for every new membership she sells.
iii) let y represent the total pay per week.
iv) let x represent the number of new memberships sold.
v) the equation representing total pay is y = 15.50x + 450.
vii) therefore the equation that represents a higher rate of membership sold is given by x > (y - 450)/ 15.50
George has 52 coins in quarters and nickels. He has a total of $3.60. How many quarters does he have?
there are 36 quarters.
Let the number of nickels be x
Let the number of quarters be y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
nickels x $0.05 $0.05x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 52 ----- $3.60
The first equation comes from the second column.
x + y = 11
The second equation comes from the last column.
0.05x + 0.25y = 3.60
Get rid of decimals by multiplying every term by 100:
5x + 25y = 360
So we have the system of equations:
x+y=52
5x+25y=360
We solve by substitution. Solve the first equation for y:
x + y = 52
y = 52 - x
Substitute (52 - x) for y in 5x + 25y = 360
5x + 25(52 - x) = 360
5x + 1300 - 25x = 360
-20x + 1300 = 360
-20x = -940
x = = 5 the number of nickels.
Substitute in y = 52 - x
y = 52 - (5
y = 47 quarters.
The number of quarters is 52-x or 52-5 or 47 quarters.
The formula for the area, A, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a, is:
img2
Upper A = one-half a p. A polygon with 5 sides has an apothem with measure a.
What is the equivalent equation when solving for p?
Answer:
2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
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Match the statement with the inequality.
1. C
2. A
3.B
4.D
Step-by-step explanation:
A,B,C,D are the possible answers in order. 1,2,3,4 are the questions in order. 1. n is greater than or equal to 4 means that n's value is larger than 4 or 4. so it would be greater than with a line underneath. 2. n is less then 4. this means n's value is any real number less than 4. so it would be n is less than 4. n is less than or equal to 4 means that it can be any real number less than 4 or 4 itself, so it would be n is less than 4 with a line underneath. process of elimination leaves just 1 answer for 4
Tell me the solution
[tex]4 \times 100 \\ \div 7[/tex]
Step-by-step explanation:
4×100=400
400÷7=57.14......
hope it helps!
have a great day :)
A medication cost $4.40 per pound. As the assistant to the accountant, find the cost per kilogram. (1 kg ≈ 2.2 lb)
Answer:
i believe its 2$ per pound but not completely sure
Step-by-step explanation:
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3(b + 3) = 2a + 27
SHOW STEPS FOR BRAINLIEST
Answer:
[tex]3(b + 3) = 2a + 27 \\ 3b + 9 = 2a + 27 \\ \boxed{- 2a + 3b= 18}[/tex]
hope this helps.
Please please help me with this!!
Look at the picture for the question
Fill in the equation so that the equation has one solution.
Answers:
25
5-2x
None of the above.
Using a calculator, what is csc(24°)? Round to 2 decimals.
Answer:
2.46
Step-by-step explanation:
csc24° = 2.45859