Answers
Step-by-step explanation:
(a)
the sum of all internal angles in a polygon with n sides is
(n - 2)×180.
since in a regular polygon all angles are equally large, we get for one internal angle :
(n - 2)×180/n
for our hexagon this means the internal angle is
(6 - 2)×180/6 = 4×30 = 120°
(b)
the area of the hexagon is (as the graphic so nicely suggests) the sum of the areas of all 6 inner triangles.
the area of a triangle is
baseline × height / 2
baseline = 10 cm
the height (from the tip of the triangle down to the baseline in a right angle) is half of 17.3 cm, because these 17.3 cm are the sum of the 2 heights of 2 triangles placed tip to tip.
so, height = 17.3/2 = 8.65 cm
the area of one of the triangles is therefore
10 × 8.65 / 2 = 5 × 8.65 = 43.25 cm²
the total area of the hexagon is then
6 × 43.25 = 259.5 cm²
Related Questions
100 PTS!! Answer for alg 2a (U3 L10) unit test
1. Which set of ordered pairs in the form of (x, y) does not represent a function of x?
{(0, 2), (1, –1), (2, 3), (3, –2)}
{(0, –2), (1, 1), (2, 3), (3, –2)}
{(0, 2), (–1, –1), (2, –3), (3, 2)}
{(0, 2), (1, 2), (1, –2), (3, 2)}
2.What is (are) the x-intercept(s) of the function graphed above?
0 only
–3, 0, and 4
–4, 0, and 3
–12.5 and 21
3. What is f(–5) if f(x) = |2x – 1| + 10?
21
19
–1
–21
4. Which does not describe the same situation?
(A) y = 3x + 5
(B) x –3 1 4
y –4 8 17
(C) graph
(D) y is five more than three times x.
5. What is an equation of the line in slope-intercept form?
m = 2 and the y-intercept is (0, 3)
y = 3x + 3
y = 2x + 3
y = 2x – 3
y = –3x + 2
Answer if you know the answers and the rest of the answers as well. (19 question test)
Answers
Answer:
Step-by-step explanation:
{(0, 2), (1, –1), (2, 3), (3, –2)}
Answer:basically, x never reats with a different y
(x,y)
A is a fn of x since x never repeats
B is a fn of x since x never repeats
C is a fn of x since x never repeats
D is not since we have (1,2) and (1,-2) so this is the answer
Step-by-step explanation:
a persian rug has a width of 9.00 feet and a length of 12.0 feet. what is the area of this rug in m2? (there are exactly 2.54 cm in one inch.)
Answers
The area of a persian rug in a metre square is given by 10.03 m2. It is calculated by using the concept of area and conversion of units of a quantity.
What is the conversion of units?
Conversion of units is the transformation between various units of measurement for the same quantity, simply the conversion of units deals with converting a quantity into different units without changing its magnitude.
Calculation of the area of the persian rug with given width and length
Given:
Length = 12 feet
Width = 9 feet
The basic step involved in solving this problem is to convert the length and width given in feet into metre
We know that 1 feet = 0.3048 m
Length = 12 × 0.3048
= 3.657 m
Width = 9 × 0.3048
= 2.743 m
Area of rug = length × width
= 3.657 × 2.743
= 10.03 m2
Hence, the required area of the persian rug is 10.03 m2.
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Write the equation of each circle.
center at (-5,3) , passes through (1,-4)
Answers
What is the value of x?
(x+4)=-6
O x = 35
O x = -25
O x = 25
Ox=35
Answers
Answer:
Step-by-step explanation:
(x+4) = -6
x + 4 + 6 = -6 + 6
x = 10
-4 -4
-10
x=-10
X =10
Cookies are sold in the lunchroom for $2. Ana wants to buy cookies for a group of her friends. If she has $20, write an inequality to show the number of cookies cc she can buy. Use the variable c.
Answers
Answer: she could buy 10 cookies.
Step-by-step explanation:
In order to figure out how many cookies she can buy just do 20÷2.
Match each pair of angle measures of a triangle with the remaining angle measure.
16 degrees and 102 degrees
38 degrees
119 degrees and 23 degrees
28 degrees and 87 degrees
96 degrees and 51 degrees
수
↑
33 degrees
62 degrees
65 degrees
Answers
The third angle of 16 degrees and 102 degrees is 62 degrees.
The third angle of 119 degrees and 23 degrees is 38 degrees.
The third angle of 28 degrees and 87 degrees is 65 degrees.
The third angle of 96 degrees and 51 degrees is 33 degrees.
What is the third angle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
In order to determine the missing angle, subtract the sum of the two given angles from 180.
180 - (16 + 102) = 62
180 - (119 + 23) = 38
180 - (28 + 87) = 65
180 - (96 + 51) = 33
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Pls pls help whoever gets it right gets a crown
Answers
If f(x) = -x³, g(x) = 3x² - 1, and h(x) = 2x + 5, what is the degree of [f o go h](x)?
2356
Answers
The degree of the polynomial formed is 6.
The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.
For example the polynomial has three 7x³y²+9xy+4 terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
Now the given functions are:
[tex]f(x)=x^3[/tex] ,g(x)=3x²-1 and h(x)=2x
Now we have to find (f ° g° h)(x). Let us first find (g°h)(x).
(g°h)(x) is equal to g[h(x)]
=g[2x+5]
=3(2x+5)²-1
=3(4x²+20x+25)-1
=12x²+60x+74
Now we find (f ° g° h)(x)
(f ° g° h)(x)=f[g(2x+5)]
f[g(2x+5)]=f(12x²+60x+74)
f(12x²+60x+74)=(12x²+60x+74)³
Now we have to simplify the expression:
(12x²+60x+74)³
=[tex]1728x^6+25920x^5+161568x^4+535680x^3+996336x^2+985680x+405224[/tex]
The largest degree of the variable x in the polynomial is 6.
hence the degree of [f o go h](x) is 6.
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use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
Answers
The line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
Triangle law of vectors states that for a ΔABC
The sum of vectors of two sides is equal to the third side vector.
Two vectors are said to be Parallel if one vector is scalar multiple of other.
In the given figure
In ΔABC , D is mid point of AB and E is the mid point of AC .
By using triangle law of vectors for ΔADE
AE+AD=ED......(1)
Now using triangle law of vectors addition for ΔABC
CA+AB=CB ....(2)
(as given that E is the mid point of CA , we can write [tex]AE=\frac{1}{2} CA[/tex]
CA=2AE.....(3)
and D is mid point of AB , we can write [tex]AD=\frac{1}{2} AB[/tex]
AB=2AD......(4)
Substituting (3) & (4) in (2) we get
2AE+2AD=CB
2(AE+AD)=CB
SUBSTIUTTING VALUES OF (AE+AD) from (1) we get
2ED=CB
[tex]ED=\frac{1}{2} CB[/tex]
Hence , the line joining the midpoints of two sides of a triangle is half of third side.
Since ED is (1/2) of CB i.e. ED is scalar multiple of CB.
Hence they are parallel.
Therefore , The line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
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find the smaller angle given the following: the angles are supplementary. the smaller angle is equal to 1⁄4 of the larger angle.
Answers
Thus, 36° is the smaller angle and 144° is the greater angle.
What is an supplementary angel?For instance, the complement angle of 130° and the angle of 50° is 180°. Complementary angles add up to 90 degrees. When the two extra angles are combined, they create a straight line and an angle. The two angles that complement one another do not necessarily need to be close to one another, it should be emphasised. As a result, two angles may be supplementary if their sum is 180 degrees. The study of various shapes is one of the main areas of mathematics.
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m= ???
find the missing length m
Answers
Answer:
5
Step-by-step explanation:
Find the product and show your solution.
1. (x+9) (x²-9x+81)=
2. (y²-7) (y⁴-7y²+49)=
3. (x²-5) (x⁴+5x²+25)=
4. (8x-9y) (64x²+72xy+81y²)=
5. (10m-11) (100m²+110m+121)=
Answers
The solution to the expansion of each polynomial is;
1. (x + 9)(x² - 9x + 81) = x³ + 729
2. (y² - 7)(y⁴ - 7y² + 49) = y⁶ − 14y⁴ + 98y² - 343
3. (x² - 5)(x⁴ + 5x² + 25) = x⁶ - 125
4. (8x - 9y)(64x² + 72xy + 81y²) = 512x³ - 729y³
5. (10m - 11) (100m² + 110m + 121) = 1000m³ - 1331
How to expand polynomials?
1) We want to expand the polynomial;
(x + 9)(x² - 9x + 81)
= x³ + 729
2) We want to expand the polynomial;
(y² - 7)(y⁴ - 7y² + 49)
Multiplying out gives;
y⁶ −7y⁴ + 49y² −7y⁴ + 49y² - 343
Combining like terms gives;
y⁶ − 14y⁴ + 98y² - 343
3) We want to expand the polynomial;
(x² - 5)(x⁴ + 5x² + 25)
Multiplying out gives;
x⁶ - 125
4) We want to expand the polynomial;
(8x - 9y)(64x² + 72xy + 81y²)
Multiplying out gives;
512x³ - 729y³
5) We want to expand the polynomial;
(10m - 11)(100m² + 110m + 121)
Multiplying out gives;
1000m³ - 1331
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ayuda mañana tengo examen y nesesito saber cuanto es 4 dividido entre 0.93
Answers
[tex]\displaystyle\\Answer: \frac{400}{93}\approx4.3[/tex]
Step-by-step explanation:
[tex]\displaystyle\\4:0.93=\\\\\frac{4}{0.93 }=\\\\\frac{4}{\frac{93}{100} } \\\\\frac{4*100}{93} \\\\\frac{400}{93} \approx\\\\4.3[/tex]
A lighthouse casts a revolving beam of light as far as the pier. what is the area that the light covers?
Answers
the area covered by the light of the lighthouse is given by: A = πx²
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
Area of a circle having r as radius = πr²
Given: The revolving light beam that extends to the pier.
Let the distance to the pier x.
Typically, the rotating beam rotates 360 degrees.
Therefore, Its motion is circular.
The mathematical formula for the area that the light covers is: A = πx²
Hence, the area covered by the light of the lighthouse is given by: A = πx²
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Nate Belloir earns a weekly commission of 2.5% on sales of $75,000 or less and 3.0% on sales in excess of $75,000. One week Nate’s commission was $2,135. What was the total of his sales for that week? Need answer ASAP.
Answers
Nate's total sales is 83,666.67.
What is the total sales?The first step is to determine the commission on sales of $75,000
Commission : 0.025 x $75,000 = $1,875
The second step is to determine the amount of commissions earned on sales above $75,000: $2135 - $1,875 = $260
The next step is to determine the amount earned above $75,000
Amount of sales above $75,000 : $260 / 0.03 = $8,666.67
Total sales for the week : $8,666.67 + $75,000 = 83,666.67
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What is the equation of the line that passes through the point (-6,-3) and has a slope of -1/6?
Answers
Answer:
y = (-1/6)x - 4
Step-by-step explanation:
Line equations are usually expressed in the following format:
y = mx + c
Where m is the gradient (slope), and c is the y-intercept.
We can fill in the value of m right away as we are given it in the question:
y = (-1/6)x + c
And we are given the point (-6,-3), so we can fill in the values for x and y, in order to find the value of c:
-3 = (-1/6)(-6) + c
Rearrange and simplify this:
-3 = 1 + c
c = -4
Finally, substitute the value of c back into the original equation to get the final equation of the line:
y = (-1/6)x - 4
What is the nth term of 8-n
Answers
Answer:
-1
Step-by-step explanation:
Tn = a+(n-1)d (general formula)
Tn = 8-n (given formula)
T9 =8-9
T9=-1
please help step by step -8n +3 +n + 11
Answers
Answer: −8n+3+n+11
Add the terms
−7n+3+11
Solution
−7n+14
Step-by-step explanation: hope this helps
Add the terms
-7n+3+11
-7n+14
What is the slope of the line that passes through the points (-9, 0) and (−17,4)? Write your answer in simplest form.
Answers
The slope of the line that passes through the points (-9, 0) and (−17,4) is -2
What is a good example of a line's slope?The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
The formula to calculate slope is -
m = x2 - x1 / y2 - y1
(-9, 0) and (−17,4)
m = -17 + 9 / 4 - 0
m = -8/4
m = -2
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a weding planner rented 13 tables and 104 chairs for an up coming wedding. What is the chair to table ratio?
Answers
Answer: 1:8
Step-by-step explanation:
13 tables
104 chairs
Ratio: 13:104
divide both sides by 13
13:104 = 1:8
Someone help please
a
Answers
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= 3x(4x - 1) ← distribute parenthesis by 3x
= 12x² - 3x
when x = 1 , then
= 12(1)² - 3(1) = 12(1) - 3 = 12 - 3 = 9
Does anyone know the correct answer for this
Answers
Answer:
you have it right.
Domain is 3[tex]\leq[/tex]x[tex]\leq[/tex]positive infinity
Range is 5[tex]\leq[/tex]y[tex]\leq[/tex]positive infinity
Step-by-step explanation:
a function is decreasing on an interval if the output values decrease as the input values decrease
true or false?
Answers
The statement that a function is decreasing on an interval if the output values decrease as the input values decrease is FALSE.
What is a decreasing function?A decreasing function refers to a function where the value of the output moves in a different direction from the value of the input.
For instance, in a decreasing function, the value of the output would decrease when the value of the input increases.
In conclusion, it is false that a function is decreasing if the output and the input are both decreasing.
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Sasha purchased a pair of jeans for 40% off of $75. How much did she pay for the jeans
Answers
Answer:
$45
Step-by-step explanation:
100% = $75
100% - 40% = 60% (discounted price)
60% = 0.6
0.6 x 75 = 45
60% = $45 (discounted price)
10% of 75 is 7.5, right because you shifted the decimal point so multiply 7.5 by 6 and you end up with 45
The ratio of students who made
only 30 students are in
kindergarten. What is the ratio
of grade 1 students to
kindergarten students?
Answers
help would be very appreciated
Answers
Answer:
g(-6) = -6
g(0) = 5
g(7) = 8
h(-6) = 10
h(0) = -1
h(7) = -4
Step-by-step explanation:
g(x) = (1/3) f(x)
g(-6) = (1/3)(-18) = -6
g(0) = (1/3)(15) = 5
g(7) = (1/3) (24) = 8
h(x) = -g (x) + 4
h(-6) = -(-6) + 4 = 10
h(0) = -(5) + 4 = -1
h(7) = -(8) + 4 = -4
I hope this helps!
Explain how using properties
can help you mentally find answers
to problems.
Answers
I think using properties can help you mentally find answers to problems because if you know what property you are going to use, then you can know what you are doing, thus it's helping you mentally find answers.
Can you solve please 8=2k-8-6k
Answers
Answer:
k = -4
Step-by-step explanation:
8 = 2k - 8 - 6k
Collect like terms
8 = -4k - 8
Add 4k to both sides (nice to have variable on left, constants on right)
8 + 4k = -8
Subtract 8 from both sides
4k = -16
Divide both sides by 4
k = -4
A sled team consists of 11 dogs and the musher. each dog weighs 70 pounds and the musher weighs 160 pounds. what is the average weight of the sled team members?
Answers
Answer:
C. 73.5lbs
Step-by-step explanation:
please help with this qestion, I just need the answer in numbers
Answers
Answer:
Step-by-step explanation:
All that is needed here is the difference[tex]=0,738-0,585\\=0,153\\[/tex]Answer:
0.153 or 15.3%
Step-by-step explanation:
Subtract save percentage last season from save percentage this season:
0.738 - 0.585 = 0.153
Convert the decimal answer to a percent
0.153 x 100% = 15.3%