Answer: 3.61km or √13
Step-by-step explanation:
Given Data:
Sides of hexagon = 2km each
Distance walked by Ama = 5km
Therefore;
Let Ama starting position be the origin.
With this She would travel along two edges and then go halfway along a third.
Her new x- coordinate would be
= 1 + 2 + 1/2 = 7/2
Because she travels a distance of 5km which translates to 2 and half side of the Hexagon
= 2*1/2
= 1km. On her x-coordinates
For her y-coordinate we use same principles as x-coordinates
= √3 + 0 - √3/2
= √3/2
Therefore her distance walked
= √ ( (7/2)^2 + (√ 3/2)^2 )
= √ ( 49/4 + 3/4 )
= √ 13
= 3.61km
Write the algebraic expression that matches each graph
Answer:
[tex]y=\left|x+1\right|[/tex] [tex]y=-\left|x\right|+1[/tex] [tex]y=|x|[/tex] [tex]y=-\left|x+1\right|+1[/tex] [tex]y=\left|x-2\right|-2[/tex]Step-by-step explanation:
The graph of y=|x-k|+h is the graph of y=|x| shifted k units to the right and h units up. To reflect the equation across the x-axis (flip it upside down), the equation changes to [tex]y=-|x|[/tex].
Hope this helps!
Answer:
|x-1|
Step-by-step explanation:
ASAP
The dimensions of a rectangle 3 1/5 by 5 5/6 cm what is the area of the rectangle
Answer:
18 2/3
Hope this helps :)
Answer:
Step-by-step explanation:
Area of rectangle = length * width
[tex]=3\frac{1}{5}*5\frac{5}{6}\\\\=\frac{16}{5}*\frac{35}{6}\\\\=\frac{8}{1}*\frac{7}{3}\\\\=\frac{8*7}{1*3}\\\\=\frac{56}{3}\\\\=18\frac{2}{3}cm^{2}[/tex]
You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet tall. When your friend looks up, the angle of elevation is 50°. When the zombie looks up at you, the angle of elevation is 25°.
Answer:
a) 125.86 feet
b) 321.68 feet
c) 195.82 feet
Step-by-step explanation:
a)
To find the distance from the friend to the build, we just need to use the tangent relation of his angle. The opposite side is the height of the building and the adjacent side is his distance to the building:
tangent(50) = height / distance
1.1918 = 150 / distance
distance = 150 / 1.1918 = 125.86 feet
b)
Similarly to letter a), we can use the tangent relation of the zombie's angle, where the opposite side is the height of the building and the adjacent side is his distance to the building:
tangent(25) = height / distance
0.4663 = 150 / distance
distance = 150 / 0.4663 = 321.68 feet
c)
To find the distance from the zombie to the friend, we just need to subtract the two distances:
Distance = 321.68 - 125.86 = 195.82 feet
Debra has two scarves. One is square and each side is 32 inches long. The other is rectangular and is 48 inches long and 20 inches wide. Which statements about the two scarves are correct? Choose all that apply.
The question asks about the geometrical properties of two scarves, one square and one rectangular. The area of the square scarf is 1024 square inches and that of the rectangular one is 960 square inches. Additionally, the square scarf has a side length of 32 inches and the rectangular scarf has lengths of 48 and 20 inches.
Explanation:The subject of the question being asked is Mathematics. Specifically, it deals with the concepts of area and perimeter for square and rectangular shapes. For the square scarf, since all sides are equal and each one is 32 inches, we calculate its area by squaring one side (32*32), yielding an area of 1024 square inches. Its perimeter (the total length of the boundary) is 4*32 i.e., 128 inches.
For the rectangular scarf, its area is determined by the formula length*width, so 48*20 equals 960 square inches. Its perimeter is the sum of all sides (2*length + 2*width) equates to 2*48+2*20 = 136 inches.
Therefore, looking at the given options, the statement regarding both the area and the length of a side (option d) is correct, as we computed the area and side length for both scarves, along with the incorrect calculations provided.
Learn more about Area and Perimeter here:https://brainly.com/question/11957642
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2 + 2x = 14
Show work please
Answer:
x=6
Step-by-step explanation:
2+2x=14
-2 -2
2x=12
2x/2=12/2
x=6
Answer:x=6
Step-by-step explanation:
14-2=12
12 divided by 2= 6
2+12=14
What is the circumference of the following circle?
Answer:
9.425cm
Step-by-step explanation:
The formula for the circumference of a circle is :[tex]\pi *diameter[/tex]
To work this out you would simply multiply the diameter of 3 cm by pi, which gives you 9.425.
1) Multiply pi by 3.
[tex]\pi *3=9.425[/tex]
The radius is half of the diameter.
The answer has been rounded to 3 decimal places.
What segment is an altitude of triangle ABC?
Answer:
Segment CD
Step-by-step explanation:
The altitude of a triangle is a straight line that passes through the vertex and forms a right angle. In this case, the only segment that fulfills these requirements is Segment CD.
PLEASE HELP WILL GIVE BRAINLIEST to the correct answers for these two problems
Answer:
real numbers
1. negative square root of six
negative square root of one half
negative square root of 2
Imaginary numbers
2. square root of negative 5/7
square root of negative 8
square root of negative 1/2
square root of negative 7
brainliest?
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school cost $2, write and solve an inequality to finding the maximum number of times per week Johanna can buy her lunch.
Please help me do this question
Answer:
5
Step-by-step explanation:
Megan has 5/6 of a box of raisins. She gave 1/2 of those raisins to her friend. Megan say she gave 2/6 of the box of raisins to her friend. What is Megan's mistake?
Answer:
he cheated and got that off of the site down below i looked it up and if he did not cheat there would be fraction but there is not so yeah
Step-by-step explanation: look it up if u want and see
Heres the site: https://brainly.in/question/7888426
have a nice day
Final answer:
Megan's mistake is that she incorrectly stated that she gave 2/6 of the box of raisins to her friend, when in fact she gave 1/2 of the box of raisins.
Explanation:
Megan's mistake is that she incorrectly stated that she gave 2/6 of the box of raisins to her friend, when in fact she gave 1/2 of the box of raisins.
To understand Megan's mistake, let's calculate the amount of raisins she gave to her friend:
Megan has 5/6 of the box of raisins.
Giving 1/2 of those raisins to her friend means she is giving away (1/2) * (5/6) = 5/12 of the box of raisins.
So, Megan actually gave away 5/12 of the box of raisins to her friend, not 2/6 as she claimed.
What is the volume of a cylinder with
base radius 3 and height 6?
Either enter an exact answer in terras of it
or use 3.14 for it and enter your answer as
a decimal.
Answer:
169.6460032938488
Step-by-step explanation:
The formula for the volume of a cylinder is pi Times r^2 times height, so you plug in 3 for r and 6 for h (height) and multiply
Find the equation of the line that has a slope of 14 and passes through the point (-3,12). Help me
Answer:
y=14x+30
Step-by-step explanation:
Can someone plz help me with this ?
Answer:
Step-by-step explanation:
simplify 4/8
Bryan is planning to serve blueberries and cream. He has 3/4 of a bottle of cream. Each bowl should have 1/8
of a bottle of cream.
How many bowls of blueberries and cream can Bryan serve?
Answer:
3/4 divide by 1/8 is 6.
Bryan can serve 6 bowls of blue berries
Step-by-step explanation:
Final answer:
Bryan can serve 6 bowls of blueberries and cream.
Explanation:
To calculate the number of bowls Bryan can serve, first determine how many bowls can be served from 3/4 of a bottle of cream. Since each bowl requires 1/8 of a bottle of cream, divide 3/4 by 1/8. This division is equivalent to multiplying 3/4 by the reciprocal of 1/8, which is 8/1. Thus, (3/4) / (1/8) = (3/4) * (8/1) = 6. Therefore, Bryan can serve 6 bowls of blueberries and cream with 3/4 of a bottle of cream. This calculation ensures efficient use of resources, allowing Bryan to accurately plan the quantity of ingredients needed for serving a specific number of bowls.
how do you solve 7 exponent 0.8
Answer:
4.74; Explanation is as follows
Step-by-step explanation:
When you raise a number to a fractional power, it is the same as taking a root of that number. Here's what I mean:
We know that .8 is the same as 4/5, so 7^.8 power is the same as 7^4/5 power!
[tex]7^\frac{4}{5} =\sqrt[5]{7^4}[/tex]
The above equation is the same as 7 raised to the .8th power! Now to solve, we do the following:
[tex]=\sqrt[5]{7^4} \\=\sqrt[5]{7*7*7*7} \\= \sqrt[5]{2401} \\=4.74[/tex]
So that is how you raise 7 to the .8th power!
Polygons PQRST and VWXYZ are similar if PQ = 4 feet, QR = 12 feet, RS = 2 feet, ST = 8 feet, TP = 4 feet, and YZ = 16 feet, then what
is the length of XY?
A.16 feet
B.24 feet
C.14 feet
D.4 feet
Answer:
D
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ST}{YZ}[/tex] = [tex]\frac{RS}{XY}[/tex] , substitute values
[tex]\frac{8}{16}[/tex] = [tex]\frac{2}{XY}[/tex] ( cross- multiply )
8XY = 32 ( divide both sides by 8 )
XY = 4 feet → D
brainliest and points! :)
write a compound inequality that the graph could represent.
Answer:
-4 <2
Step-by-step explanation:
Is asking for an inequality which is greaterthan or equal to, less than or equal to, greaterthan, lessthan, not equal
Solve the system of equations and choose the correct ordered pair. 3x + 2y = 12 6x + 3y = 21
Answer:
A) 3x + 2y = 12
B) 6x + 3y = 21
We multiply A) by -2
A) -6x -4y = -24 then we add B)
B) 6x + 3y = 21
-y = -3
y = 3
Since y = 3 then
x = 2
Step-by-step explanation:
Answer:
( −2)⋅( 3x +2y )= (−2)(12)(-2)⋅(3x+2y)= (-2)(12)
6x+3y=21
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of x opposite.
Simplify ( -2) ⋅(3x+2y)(-2)⋅(3x+2y)
Apply the distributive property.
−2(3x) − 2 (2y)=(−2) (12)
6x+3y=21
Multiply 3 by -2.
−6x − 2(2y)= (2)(12)
6x+3y=21
Multiply 2 by -2
−6x −4y = (−2)(12)
6x+3y=21
Multiply -2 by 12
−6x−4 y=−24
X 6x+3 y=21
-y = -3
Multiply each term in -y = -3 by -1.
(-y) ⋅ -1 = (-3) ⋅ -1
Multiply -1 by -1
1y = (-3) ⋅ -1
Multiply y by 1
y= (-3) ⋅ - 1
Multiply -3 by -1
y= 3
Substitute the value found for y into one of the original equations, then solve for x.
−6x −4⋅3=−24
Multiply −4 by 3.
−6x−12=−24
Move all terms not containing x to the right side of the equation.
Add 12 to both sides of the equation.
−6x = −24+12
Add −24 and 12.
−6x=−12
Divide each term by −6 and simplify.
Divide each term in −6x = −12 by −6.
-6x = -12
-6 = -6
Cancel the common factor of −6.
Divide x by 1.
−12
x= -6
Divide −12 by −6.
x=2
The solution to the independent system of equations can be represented as a point.
(2,3)
Equation Form:
x=2, y=3
A regular hexagon is inscribed in a circle. If the radius of the circle is 16 cm, what is the closest area of the hexagon.
178 cm^2
153.1 cm^2
665.1 cm^2
443.4 cm^2
Answer:
Try \\
Step-by-step explanation:
176.1
units
2
Explanation:
A
shaded
=
A
circle
−
A
hexagon
A
circle
=
π
r
2
=
π
⋅
18
2
=
324
π
We can split up the hexagon into 6 regular triangles.
A
hexagon
=
6
⋅
A
triangle
=
6
⋅
1
2
b
h
Since the triangles are regular, the base is equal to the radius,
18
. We can represent the height by taking one of the triangles and drawing a line down the middle. The newly formed triangle is a
30
°
−
60
°
−
90
°
right triangle.
A desk is on sale for $380, which is 20% off the original price. Which equation can be used to determine the
amount of money saved, s, in dollars, when purchasing this desk on sale?
A s= 0.2(380)
B
S = (380 = 0.8) - 380
Cs= (380 = 0.5) – 380
D
8 = (380 = 0.8)
Tthe correct answer is:
A) [tex]\( s = 0.2(380) \)[/tex]
To determine the amount of money saved when purchasing the desk on sale, you first need to find the original price of the desk before the discount.
Let's denote the original price of the desk as [tex]\( P \)[/tex].
Since the desk is on sale for 20% off, the sale price [tex]\( S \)[/tex] can be calculated as:
[tex]S=P-0.20\times P=0.80\times P[/tex]
Where:
- [tex]\( P - 0.20 \times P \)[/tex] represents the original price minus 20% of the original price.
-[tex]\( 0.80 \times P \)[/tex] represents 80% of the original price.
Now, to find the amount saved [tex](\( s \))[/tex], it's the difference between the original price [tex](\( P \))[/tex] and the sale price [tex](\( S \))[/tex]:
[tex]\[ s = P - S \][/tex]
Substituting the expression for [tex]\( S \)[/tex]:
[tex]\[ s = P - 0.80 \times P = 0.20 \times P \][/tex]
So, the equation that can be used to determine the amount of money saved, [tex]\( s \)[/tex], in dollars, when purchasing this desk on sale is:
[tex]\[ s = 0.20 \times P \][/tex]
Complete correct question:
A desk is on sale for $380, which is 20% off the original price. Which equation can be used to determine the
amount of money saved, s, in dollars, when purchasing this desk on sale?
A [tex]s= 0.2(380)[/tex]
B [tex]s= (380 = 0.8) - 380[/tex]
C [tex]s= (380 = 0.5) - 380[/tex]
D [tex]8 = (380 = 0.8)[/tex]
The equation that can be used to determine the amount of money saved when purchasing this desk on sale is:
[tex]\[ {\text{D) } s = (380 \times 0.8) - 380} \][/tex]
Hence the correct option is d.
To determine the amount of money saved (s) when purchasing the desk on sale, we need to calculate 20% of the original price.
The original price of the desk can be represented by x, and the sale price is $380.
We know that the sale price is 20% off the original price, so the equation representing the sale price is:
[tex]\[ \text{Sale price} = \text{Original price} - \text{Discount} \]\[ 380 = x - 0.2x \]\[ 380 = 0.8x \][/tex]
To find the amount saved, we subtract the sale price from the original price:
[tex]\[ s = x - 380 \]Now, let's solve for \( s \):\[ s = 0.8x - 380 \][/tex]
So, the equation that can be used to determine the amount of money saved when purchasing this desk on sale is:
[tex]\[ {\text{D) } s = (380 \times 0.8) - 380} \][/tex]
Hence the correct option is d.
I will mark brainliest!
x⁹/x²
A. x¹¹
B. x⁷
C. 7
D. x⁵
Help me!
2. The parallelogram shown below
has an area of 40 units? Find the
missing base.
Answer:
The base would be 8 if the height is five
Step-by-step explanation:
Please next time show the height
The figure shown is a semi circle. find it’s perimeter.
Round your solution to 1 decimal place.
The perimeter of the figure is ____ ft.
A square floor tile has a diagonal that is 19 inches long. If x is the length of a square, write an equation that shows the relationship between the lengths of the sides and the diagonal.
The equation that shows the relationship between the lengths of the sides and the diagonal is 2[tex]x^2[/tex] = [tex]d^2[/tex] where x is the length of the side and d is the length of the diagonal.
In a square, the diagonal divides the square into two congruent right triangles. By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
Let x be the length of one side of the square, and d be the length of the diagonal. According to the Pythagorean theorem, we have:
[tex]\[ x^2 + x^2 = d^2 \][/tex]
Simplifying:
2[tex]x^2[/tex] = [tex]d^2[/tex]
This equation represents the relationship between the length of the sides (x) and the length of the diagonal (d) of the square tile.
If C is the midpoint of AB and AB = 20, what is AC?
05
10
20
40
Answer:
If C is the midpoint of AB, and AB = 20, then AC = (1/2)(20) = 10.
2n + 1 =7
Show work please
So,the right answer is 3.
Look at the attached picture
Hope it will help you
What is the equation of the line through the origin and ( -2,3)? Please help
Answer:
y = 2/-3 x
Step-by-step explanation:
Since it passes through the origin we have two other points which are (0,0)
In this case we can solve for the slope by finding the change in y and change in x
0 - -2 / 0 - 3 =
2/-3
so y = 2/-3 x
Nine tokens are black on one side and white on the other. Initially, four tokens have the black side up (see the picture). In each turn you have to flip three tokens. What is the least number of turns you need to have all tokens showing the same color?
Answer:
2 Movements
Step-by-step explanation:
Let us name the tokens
B-For Black Tokens
W-For White Tokens
The initial arrangement is therefore given as:
B-B-B-B-W-W-W-W-W
Since we are allowed to flip three tiles in each turn
First movement: Flip two blacks and one white, we would have:
B-B-W-W-W-W-W-W-B
Second movement: Flip the three black tokens, this would give us:
W-W-W-W-W-W-W-W-W
Therefore, the least number of movements to have all tokens showing the same color is 2.
Write an equation in slope-intercept form that goes through the point (5, -3) and is parallel to y = 3x - 1.
Answer:
[tex] y = 3x -18[/tex]
Step-by-step explanation:
For this case we have this point given (5,-3) and we want to create an slope intercept formula given by:
[tex] y = mx +b[/tex]
And this equation needs to be parallel to y= 3x-1 so then the slope needs to be equal m =3 and then we can use the point given to find the intercept b like this:
[tex] -3 = 3*5 +b [/tex]
[tex] b = 3-15=-18[/tex]
And the formula for the slope would be given by:
[tex] y = 3x -18[/tex]
Writing Prompt: Explain the difference between an independent
and a dependent variable in an equation.
Answer:
An independent variable is a variable or value that is changed, altered, or entered, while a dependent variable is a variable or value that is being observed.
Step-by-step explanation:
Hoped this helped
Answer:
An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable.
dependent variable is the variable being tested and measured in a scientific experiment.
The dependent variable is 'dependent' on the independent variable. As the experimenter changes the independent variable, the effect on the dependent variable is observed and recorded.
Independent and Dependent Variable Example
For example, a scientist wants to see if the brightness of light has any effect on a moth being attracted to the light. The brightness of the light is controlled by the scientist. This would be the independent variable. How the moth reacts to the different light levels (distance to light source) would be the dependent variable.
How to Tell the Variables Apart
The independent and dependent variables may be viewed in terms of cause and effect. If the independent variable is changed, then an effect is seen in the dependent variable. Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable