A regular octagon with side length a cm can be made by cutting off
the four corners of a square board. How long should the sides of the
board be?
Answer:
one side = [tex]\frac{a\sqrt{2}}{2}[/tex]
Step-by-step explanation:
if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.
Let's say TP = a
since it's a regular octagon, TP = HT
and using the Pythagoras Theorem, we know a² + b² = c² and thus:
√(AT² + HA²) = HT
and since AT = HA which we will call x, the equation becomes:
√(2x²) = HT = a
rearrange the equation to solve for x and you get:
2x² = a²
x² = [tex]\frac{a^{2} }{2}[/tex]
x = [tex]\frac{a}{\sqrt{2}}[/tex]
which, if you rationalise the denominator, you get:
x = [tex]\frac{a\sqrt{2}}{2}[/tex]
Can get a little help
Good luckvsvsvsbsbsjsjhsbsbsbsb
A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slower than twice the speed of the motorcycle.
Answer:
speed of motorcycle = 40 mph
speed of car = 50 mph
Step-by-step explanation:
Here is the complete question
A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.
Speed = distance / time
This question would be solved using simultaneous equation
let m = average speed of the motorcycle
c = average speed of the car
c = 2m - 30 equation 1
20 =(c - m) x 2 equation 2
insert equation 1 into equation 2 and divide through by 2
10 = (2m - 30) - m
solve for m
m = 40 mph
substitute for m in equation 1
2(40) - 20 = 50 mph
Find the area of this circle.
Use 3.14 to approximate
A = ar2
20 ft
Answer:
314
Step-by-step explanation:
Answer:
314
Step-by-step explanation:
R= half of d
d= 20
20/2= 10
r=10
Plug into formula:
3.14(10)^2
= 314
Refer to the prism at the right. If all the
dimensions of the prism doubled, would the volume double? Explain your
reasoning
Pls help this is due tomorrow
Plz help i am giving 30 points and dont put random anwser for points
Answer:
6 students
Step-by-step explanation:
first you wanna convert the 2/3 into 4/6 cause that makes it easier then add the 1/6 to it making it 5/6 and finally 5/6 of 36 is 30 and 36-30=6
Answer:
6 students
Step-by-step explanation:
Blue shirts: 1/6*36 = 36/6= 6
white shirts: 2/3*36= 72/3= 24
Blue + white= 24+6= 30 Students
36-30= 6 students didn't wear blue or white
help please//////////////
20 x 11.4 x 3.5=
use a calculator to multiply
HELP ME ILL GIVE BRANLIEST IF UR RIGHT!!!
Answer: 62
hope this helps :)
given m||n,find the value of x
Answer:
8x+5 + 2x+5 = 180
10x+10=180
10x =170 = x = 17
Step-by-step explanation:
Answer:
answer: x = 17 Hope this helps!
2 x 17 + 5 = 39 8 x 17 + 5 = 141
Straight angles are 180 degrees
39 + 141 = 180
So x = 17
Convert 2 3/5 cups to pints.
Answer:
Decimal Form: 1.3
Exact Form: 13/10
Mixed Number Form: 1 3/10
Step-by-step explanation:
1 pint = 2 cups
Convert the mixed fraction into an improper fraction. 2 3/5 = 13/5 cups
You divide 13/5 by 2, since there are 2 cups in one pint, and you are trying to get pints. 13/5 divided by 2:
Decimal Form: 1.3
Exact Form: 13/10
Mixed Number Form: 1 3/10
(x+2)·2x + (x-1)^2= 2 ?
Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
Answer:
3x^2+2x+1 primero lo multiplicas y lo que te de lo sumas y asi sacas 3x^2+2x+1
3.5333 (repeated 3)as a fraction
Answer:
3 3/5
Step-by-step explanation:
Answer:
3 5333/10,000
Step-by-step explanation:
Function f is composed of an exponential piece and a polynomial piece.
Which inequality represents the domain of the exponential piece?
A) x ≥ -1
B) x > 1
C) x > 3
D) x ≤ -2
Answer:
Step-by-step explanation:
The exponential piece is to the left, and starts at -2. So all its x values are less than or equal to -2
Answer:
it's D you are very welcome :)
PLEASE HELP ME ANSWER THIS:(
Answer:
#1y = x² - 8x - 20 y = (x - 10)(x + 2), zero's are (10, 0) and (- 2, 0)Vertex is:
x = -8/-2 = 4, y = 4² - 8*4 - 20 = -36Correct choice is A
#2x² + 1/3x = 4x² + 2*x*(1/6) + (1/6)² = 4 + 1/36(x + 1/6)² = 4 1/36Correct choice is A
#3(-√-1) = -ii² = -1 ⇒ i²ⁿ = -1i²ⁿ⁺¹ = -iCorrect choice A or B
3⋅2^x/5=150 Which of the following is the solution of the equation?
Answer:
x=7.965784
Step-by-step explanation:
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!!
Answer:
(1.5,1) is the coordinate for point D
Answer:
point D = (1.5,2)
Step-by-step explanation:
The first number in the parentheses is the X coordinate, in this case it's 1.5
The first second in the parentheses is the Y coordinate, in this case it's 2
The dot plot shows the heights of the players on two basketball teams.
Which statement is best supported by these data?
pls help thanks!! lol
if 5article cost ed 1750 how many more arrivals can be bought with 2800
Answer:
3 more arrivals
Step-by-step explanation:
Find lim h 0 f(2+h)-f(2)/ h if(x)=x^ 2 .
Answer:
4
Step-by-step explanation:
The 4th ans pls anyone?
Answer:
associative property of multiplication
Step-by-step explanation:
I hope this helps you :)
PLZ HELP! QUESTIONS ARE BELOW! :D
Answer:
1) 243 in.²
Step-by-step explanation:
1)
A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²
Find the surface area of this rectangular prism .
thanks!!!!!!!
Answer
Step-by-step explanation:
Answer:
solution given;
length [l]=9cm
breadth [b]=7cm
height[h]=3cm
we have
the surface area of this rectangular prism =2[lb×bh×lh]=2[9×7+7×3+9×3]=222cm²
is your answer
19 1/2 is 3/4 of what number?
Answer:
19.5 = 0.75x
x = 26
I hope this finds you well and have a great day.
I need help please. Find 4 solutions of the equation (sin x)^2 = 1/4 for x between 0 and 360. Please show how you found it if not u will be reported.
Step-by-step explanation:
(sinx)²=1/4sinx=√1/4sinx =1/2sinx=sin30°x=30°hope it helps.
Answer:
x = 30, 150, 210, 330 degrees.
Step-by-step explanation:
(sin x)^2 = 1/4
sin x = +/- √1/4
sin x = +/- /2
In the first quadrant x = angle whose sine is 1/2 = 30 degrees.
There is also a solution in the other 3 quadrants.
In second quadrant where sine = 1/2 , x = 180-30 = 150 degrees,
In 3rd and 4th where sine x = -1/2 the angles are 210 and 330 degrees.
equation of the line through (5,-6) and a slope of -1
Answer:
y=x-11 or in point slope form y+6=1(x-5)
What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters
and a base diameter of 4 centimeters?
Answer:
Volume = 200.96 cm³
Step-by-step explanation:
r = 4/2 = 2
Volume = πr²h = (3.14)(2²)(16) = 200.96 cm³
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score? Write and solve the equation.
Answer:
Andre scored 14 points
Step-by-step explanation:
D = A - 9
N = 2D = 10
2D = 10
D = 5
5 = A - 9
14 = A
Answer:
Diego scored 14 points
x = 14
Important!!!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answer:
C has the lease value of 1/3
Step-by-step explanation:
A: (2³)² ÷ 2^5 = 2
B: 4^0 = 1
C: 3^(4-5) = 3^-1 = 1/3
D: 5^0 = 1
Mr. Smith wants to buy some new shirts to wear at work. He hears that button down shirts are 30% off at the mall. He paid $27 to buy 1 button down shirt. What was the original price of the shirt?
Answer:
Answer:
$90
Step-by-step explanation:
27/.3