The area of a regular polygon is given by the following formula:
\(A=\frac{P\cdot a}{2}\)In which P is the perimeter of the polygon and a is the apothem.
First, find the perimeter of the polygon, you do it by multiplying the sidelenght by the number of sides, in this case, 6 sides:
\(P=5\cdot6=30\)Now, find the area:
\(\begin{gathered} A=\frac{30\cdot4.33}{2} \\ A=64.95 \end{gathered}\)The area of the polygon is 64.95cm^2
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x+y-1=0?
Answer:
The equation of the line that passes through (1, 2) is y = - 2x + 4
Step-by-step explanation:
2x + y - 1 = 0
2x + y - 1 + 1 = 0 + 1
2x + y = 1
2x - 2x + y = 1
y = - 2x + 1
parallel lines have the same slope, so the equation line will be -2
plug in the point, y = mx + b (x, y)
y = (-2)x + b , (1, 2)
(2) = (-2)(1) + b
2 = -2 + b
2 + 2 = -2 + 2 + b
4 = b
y = - 2x + 4
Select the correct answer.
Select the correct type of sequence and recursive function for the sequence below,
34, 40, 46, 52
Answer:
f(1)=34 ; f(n)= f(n-1) +6, for n >2
Step-by-step explanation:
arithmetic sequence
231 - 7a = 98
How to solve this
Answer:
19
Step-by-step explanation:
231 - 7a = 98 = -7a + 231 = 98
Subtract 231 from both sides to get -7a = -133
Divide by -7 on both sides to get a = 19
Answer:
a = 19 is the correct solution.
Step-by-step explanation:
Step 1 : Start by simplifying both sides of the problem.
231 − 7a = 98
231 + − 7a = 98
−7a + 231 = 98
Step 2 : Next step is to subtract 231 from both sides
−7a + 231 − 231 = 98 − 231
−7a = −133
Step 3: Finally, divide both sides by -7.
( When I use the symbol /, it signifies I'm dividing.)
-7a/-7 = -133/-7
-133 divided by -7 equals 19
This shows that a = 19. I hope this helps! :D
HELPP! 7th grade math
Answer:
the length would be 3ft and the width would be 2ft
Step-by-step explanation:
this is because the scale is 1cm:4f ft therefore, 12/4=3 and 8/4=2 which is your final answer
Answer:
LENGTH - 3cm / WIDTH - 2cm
Step-by-step explanation:
Well first off, you would use the scale: 1 cm = 4 ft
With 12, you divide by 4. 12 ÷ 4 = 3
With 8, you also divide by 4. 8 ÷ 4 = 2
So, it would be 3 cm long and 2 cm wide.
can someone help me on 5 or 6. (find the area and perimeter)
Answer:
the answer is 6 trust. poopoo
solve for x!!!!!!!!!!
Answer:
8 10
Step-by-step explanation:
maybe this will help you
There are 40 males and 50 females participating in a marathon.
What percent of the participants are female?
Answer:
The answer is [ ]
Step-by-step explanation:
Since both 40 males and 50 females, we add them to get 90 ppl in all. 50 of those 90 are female. Find that ration, 50:90, as a percentage. That would be 55.5% (i think)
Answer:
55.55555%
Step-by-step explanation:
50/90
Question 4
1 pts
In the inequality x +4< -14,, which answer is correct
O the solution set is x is less than 10, the circle is open; and the graph (line) moves to the right
the solution set is x is less than -18, the circle is open; and the graph (line) moves to the left
O the solution set is x is less than negative 10, the circle is open; and the graph (line) moves to the
left.
O the solution set is x is greater than negative 10, the circle is open; and the graph (line) moves to
the left.
Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.
Step-by-step explanation:
1. x < (-4) -14 (subtract 4 from each side, then add)
2. x < -18
Select the correct answer.
68600
A) 6.86 × 104
C) 0.686 × 10²
B) 0.686 × 10¹
D) 6.86 x 10²
Answer:
A) 6.86×10⁴
Step-by-step explanation:
You want to write 68600 in scientific notation.
Expanded formThe number 68600 can be written in expanded form with exponents as ...
68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰
The left-most term of this sum tells you the exponent in scientific notation:
68600 = 6.86×10⁴
Jim can type 3850 words in 70 minutes.
David can type 3300 in 60 minutes.
Dan can type 2400 words in 40 minutes.
Who types at the fastest rate of words per minute?
Answer:
Dan, because he types 60 words per minute.
Step-by-step explanation:
Jim: 3850/70 = 55 words/minute
David: 3300/60 = 55 words/minute
Dan: 2400/40 = 60 words/minute
2. The next Saturday, the two friends leave at the same time a ain, and Kiran jogs twice
as fast as Clare walks. Where on the rail trail do Kiran and Clare meet?
Answer:
the end by the finish line
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
For more such questions on dollar
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x^2 + y^2 = 9; x + y = 2
\(x+y=2 \implies x=2-y \\ \\ x^2 + y^2 = 9 \\ \\ (2-y)^2 + y^2 = 9 \\ \\ y^2 - 4y + 4 + y^2 = 9 \\ \\ 2y^2 - 4y-5=0 \\ \\ y=\frac{-(-4) \pm \sqrt{(-4)^2-4(2)(-5)}}{2(2)} \\ \\\)
\(=1 \pm \sqrt{7/2} \\ \\ \implies x=1 \mp \sqrt{7/2} \\ \\ \therefore x=1 \mp \sqrt{7/2} , y=1 \pm \sqrt{7/2}\)
The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)
Answer:
0.02degrees
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth
Write the equation of the transformed graph of tangent with period 4 that has
been shifted vertically up 3 units. (3 points)
Answer:
g(x) = 3 + tan(πx/4)
Step-by-step explanation:
A tangent function has a period of π. In order to make it have a period of 4, it needs to be stretched horizontally by a factor of 4/π. A function is stretched horizontally by a factor of k by replacing x with x/k.
In order for the function to be shifted vertically up by 3 units, 3 must be added to the function value. That is, the transformed function becomes ...
g(x) = tan(x/(4/π)) +3
g(x) = tan(πx/4) +3
Explain how the part of a whole can be greater than the whole itself
Answer:
negative number
Step-by-step explanation:
-1
1/4 of -1 = -1/4
-1/4 is greater than -1
The negative number part or fraction is bigger than the whole number itself example (-1/2)(-2) > -2.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's consider a negative number -8.
The 1/4 part of it ⇒
(1/4) × (-8) = -2
Since -2 > -8 so (1/4) × (-8) > -8
It is clear that for all negative numbers the part of it will be bigger than the number itself.
Hence "The negative number part or fraction is bigger than the whole number itself example (-1/2)(-2) > -2".
For more about the number system,
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3. What is the volume of this complex figure?
3 m
4 m
6 m
4 m
7m
The volume of the given complex structure would be = 56 m³
How to calculate the volume of the given structure?The structure is made up of the big and small cubes.
The volume of the big cube = length × breadth × width = 7 × 3 × 4 = 84 m³
The volume of the small cube cut out = length * breadth * width = 4 × 7 × (4 - 3) = 28 m³
Volume of the complex figure = 84 m³ - 28 m³ = 56 m³
The volume of the complex figure shown in the diagram is 56 m³.
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4 : 5 as an equivalent ratio
Step-by-step explanation:
Multiply BOTH the 4 and the 5 by any number to get an equivalent ratio
4:5 x 2 = 8/10
4:5 x3 = 12 : 15
4:5 x 2.5 = 10 : 12.5 All equivalent ratios
HELP PLEASE!!!!! I will mark you as brainlyist!!!!!
Answer:
77° + 90° + x° = 180°
x° = 180° -77° -90°
x° = 13°
21(x + 1) - 6x = 15x + 21
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
how will the product of two numbers change if one of the factors is multiplied by (-2)?
PLS HELP MEEEE
Answer:
Depends. See below.
Step-by-step explanation:
Let's take 1*-2 for example. If we multiplied 1 with -2, the resulting product will be negative since it's -2. Now if we did -1*-2, then the resulting product will be positive since it's 2.
help plz on b and c hurry too!! I’ll mark u Brainlyest
Answer:
b) yes they are, all going up evenly
c) all go up by twice their first number, then by 3
Step-by-step explanation:
3. Find to the nearest thousandth: log7 80
Answer:
I believe 1000
Step-by-step explanation:
2.4 x 24.12 need help I’m stuck help
Answer: 57.888
Step-by-step explanation: you have to use long multiplication to evaluate
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
A bakery can make 640 bagels in 4 hours. How many can they bake in 16 hours.
Answer:
two ways
Step-by-step explanation:
there are two ways to do this
640/4 =160
take 160x16 = 2,560
OR
640x4 = 2,560
4 because 4x4 = 16
How many proper subsets does the set { 1,2,3} have
Answer:
1
Step-by-step explanation:
Which series of transformations will not map figure Q onto itself? (x + 2, y − 2), reflection over y = x − 1 (x − 2, y + 2), reflection over y = x + 3 (x + 0 y − 4), reflection over y = x − 1 (x − 3, y − 3), reflection over y = −x + 1
Answer:
B
Step-by-step explanation:
taking test rn ill say if its correct when i finish
Answer:
C reflection over y=x-1 (x+0y-4)
Step-by-step explanation:
Just got it right on the test
A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.
1 4. How much ground is covered by the trough?
15. How much metal is needed to make the trough?
16. How much water can the trough hold?
Answer:
8 ft², 21.8ft², and 11.2ft²
Step-by-step explanation:
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? (1 feet = 12 inches)