What does it mean when the average is less than the median?
A company plans to enclose three parallel rectangular areas for sorting returned goods. the three areas are within one large rectangular area and 10641064 yd of fencing is available. what is the largest total area that can be enclosed?
First get the perimeter
Perimeter: 2l + 2w = 1064 yd
The region inside the fence is the area
Area: A = lw
We need to solve the perimeter formula for either length or width.
2l + 2w = 1064 yd
2w = 1064 yd – 2l
W = 1064– 2l / 2
W = 532 – l
Now substitute than to the area formula
A = lw
A = l (532 – l)
A = 532 – l^2
Since the equation A represents a quadratic expression, rewritte the expression with the exponents in descending order
A(l) = -l^2 + 532l
Then look for the value of the x coordinate
l = -b/2a
l = -532/2(-1)
l = -532/-2
l = 266 yards
Plugging in the value into our calculation for area:
A(l) = -l^2 + 532
A(266) = -(266)^2 + 532 (266)
A(266) = 70756+ 141512
= 70756 square yards.
Thus the largest area that could encompass would be a square where each side has a length of 266 yards and a width of:
W = 532 – l
= 532 – 266
= 266
It should be noted that the largest total area that can be enclosed will be 70756 yards².
How to calculate the area.Firstly, we have to calculate the perimeter. This will be:
2l + 2w = 1064 yd
Area: A = length × width
2l + 2w = 1064 yd
2w = 1064 yd – 2l
W = 1064– 2l / 2
W = 532 – l
Since Area = lw
A = l(532 – l)
A = 532 – l²
A(l) = -l² + 532l
l = -b/2a
l = -532/2(-1)
l = -532/-2
l = 266 yards
The length is 266 yards.
Area = -l² + 532
A( = -(266)² + 532 (266)
Area = 70756+ 141512
Area = 70756 yards²
Learn more about areas on:
https://brainly.com/question/25292087
Two cars leave town going in opposite directions. one car is traveling 55 miles per hour (mph), and the other car is traveling 40 mph. how long will it take before the cars are 285 miles apart?
Write an equation for the line parallel to the given line that contains
C(4,8);y=-3x+4
What? I don’t know what I’m doing???
Kim's softball team is playing in the championship game. They are losing by a score of 171717 to 666. There are 444 innings to go. Kim wants to know how many runs her team needs per inning to win the game if the other team does not score. (Each run is worth 111 point.) Let rrr represent the number of runs per inning. Assume that the team scores the same number of runs per inning, and write an inequality to determine the number of runs per inning needed to win the game.
171717-666 = 171051 runs are needed.
171051 / 444 = 385.25 points per inning are needed
385.25 / 111 = 3.47 runs are needed per inning, round up to 4
What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ? Enter your answer in the box.
Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. He places his compass on point B to construct an arc. What must be true about the width of the compass opening when Justin draws the arc?
A .It must be wider than when he constructed the arc centered at point A.
B It must be the same as when he constructed the arc centered at point A.
C. It must be equal to BQ .
D.It must be equal to AB .
Answer:
just to confuse yall less it is indeed b!
Step-by-step explanation:
took the test on k12
write a word phrase for each algebraic expression
1. 25 - 6
2. 2/3y + 4
factor each expression
3. 45c + 10d
4. 27 - 9x + 15y
Simplify the expression.
5. 3(t - 4) - 8 (2 - 3t )
6. 12x + 24
Answer:
Step-by-step explanation:
1)Twenty five minus sixty percent times a number.
what did the candle say to the match
How to solve for a side of a right triangle when you only know one side?
the ratio of girls to boys in a tennis club is 4:5 if there are 144 children in the club how many girls are there
4:5 means 4 girls to every 5 boys
4+5=9
144/9 = 16
4 *16 = 64 girls
The number 0 belongs to which classification?
A. irrational numbers
B. natural numbers
C. integers
D. all of the above
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I need help with #17
The functions graphed show the snowfall, in inches, in two cities after x hours.
Select each correct answer.
Middletown had a faster rate of snowfall.
Smithville had a faster rate of snowfall.
Snow fell in Smithville at a rate of 4 inches per hour.
Middletown already had snow on the ground at the beginning of the storm.
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
in this problem
the rate of snowfall is equal to the slope of the linear equation
so
Let
x-------> the time in hours
y---------> the snowfall in inches
Step 1
Find the slope of the line of the Smithville city
Let
[tex]A(0,0)\\B(5,20)[/tex]
substitute the values in the formula above
[tex]m=\frac{20-0}{5-0}[/tex]
[tex]m=4\frac{inches}{hour}[/tex]
Step 2
Find the slope of the line of the Middletown city
Let
[tex]A(0,0)\\B(5,15)[/tex]
substitute the values in the formula above
[tex]m=\frac{15-0}{5-0}[/tex]
[tex]m=3\frac{inches}{hour}[/tex]
Step 3
Verify the statements
case A) Middletown had a faster rate of snowfall
The statement is False
Because Smithville had a faster rate of snowfall with [tex]4\frac{inches}{hour}[/tex]
case B) Smithville had a faster rate of snowfall
The statement is True
case C) Snow fell in Smithville at a rate of 4 inches per hour
The statement is True
case D) Middletown already had snow on the ground at the beginning of the storm
The statement is False
Because at the beginning of the storm the value of the snow is equal to zero
therefore
the answer is
Smithville had a faster rate of snowfall
Snow fell in Smithville at a rate of 4 inches per hour
1. round the result to 2 decimal places. -0.9x+2.8=4.1
a) -2.56
b) -2.56
c) -1.44
d) 2.20
2. jordan has 650 pennies. he plans to give 85 to his brother and split with his twin sister. he wants to know how many pennies to keep for himself. which equation models the situation?
a) 2(85+2x=650
b) 85(x-2)=650
c) 85x=650
d) 85+2x=650
find the length of the arc on a circle of radius 12 feet intercepted by a central angle of 150°.
What is the value of x? I don't know if I'm right so did i get this answer right? please help i need help ASAP
3/5 =0.6
40 *0.6 = 24
2x+10 =24
2x=14
x = 14/2 = 7
“all integers are rational numbers” true or false? why?
I really need help with these problems please come it will mean a lot if u help.
What is the ratio 35 to 15 expressed as a fraction in simplest form?
please help me with this, thanks !!
y1=4(5x-1), y2-=5x+1 and y1 is 344 more than 2 times y2
Find the length of the diagonal of this rectangle.
Answer:
The length of the diagonal of the given Rectangle is, 11.80 m (Approx.)
Step-by-step explanation:
In Rectangle:
* It is a four sided shape where every angle is a right angle.
* The alternative sides are equal.
*Two axes of symmetry bisect each other.
* Diagonals are equal in length.
The figure of rectangle has given the length [tex]l[/tex] = 10m
In right angle triangle ADC.
DC = 10 m ( as alternative sides are equal )
Note that we are given here the adjacent and we have to find the length of hypotenuse, then we use trigonometric ratio that contains both sides adjacent and hypotenuse.
Use: [tex]Cosine = \frac{Adjacent}{hypotenuse}[/tex]
then,
[tex]\cos 32^{\circ} = \frac{10}{AC}[/tex] or
[tex]Ac = \frac{10}{\cos 32^{\circ}} =\frac{10}{0.8480481}[/tex]
On simplify we get;
AC = 11.791784 m
therefore, the length of the diagonal of this rectangle (AC) is, 11.80 m (Approx)
The sum of two numbers is 67 . the larger number is 5 more than the smaller number. what are the numbers?
1. Create a circle. Show and explain the difference between the following:
a. secant line and tangent line
b. inscribed angle and central angle
2. Describe the steps necessary to construct an inscribed circle in a triangle and contrast this with the steps you take to construct a circumscribed circle.
3. Demonstrate on the whiteboard how to find the center and radius of a circle using an equation. Be sure to provide a unique example of your own that shows how to find both of these.
4. A classmate is having difficulty finding the measures of
5. The world’s largest round pizza, which also happened to be gluten-free, was set in December 2012 by five Italian chefs. The diameter of this pizza was 131 feet. If this pizza was cut into 50 slices, what would be the area of each slice and the length of the crust for the slice? Explain what concepts of a circle these calculations related to.
Final answer:
The differences between secant and tangent lines, and between inscribed and central angles, involve the number of intersection points with the circle and the position of the vertex, respectively. Constructing an inscribed circle involves finding the incenter, while a circumscribed circle requires finding the circumcenter. To find the center and radius of a circle using its equation, we use the standard form (x - h)² + (y - k)² = r².
Explanation:
Differences Between Secant Lines, Tangent Lines, Inscribed Angles, and Central Angles
A secant line is a line that intersects a circle at two points, while a tangent line touches the circle at exactly one point. An inscribed angle is an angle formed by two chords in a circle that meet at one point in the circle, whereas a central angle is an angle whose apex (vertex) is the center of the circle.
Constructing Inscribed and Circumscribed Circles in a Triangle
To construct an inscribed circle (incircle) of a triangle, draw the angle bisectors of the triangle's angles to find the incenter, and then use this point to draw the circle that touches all three sides of the triangle. For a circumscribed circle (circumcircle), draw the perpendicular bisectors of the triangle's sides and the point where they intersect will be the circumcenter; use this as the center to draw the circle that passes through all three vertices of the triangle.
Finding the Center and Radius of a Circle Using an Equation
Given a circle's equation in the standard form (x - h)² + (y - k)² = r², the center is at point (h, k), and the radius is the square root of r². For example, if we have the equation (x - 3)² + (y + 2)² = 16, the center is (3, -2) and the radius is 4 units.
Area and Length of the Crust of a Circular Pizza Slice
For the world's largest round pizza with a diameter of 131 feet, the radius would be 65.5 feet. The area of each slice is a fraction of the whole pizza's area, which can be found using the formula A = πR², and the length of the crust for the slice corresponds to the arc length of that slice.
Area of whole pizza = 3.14 * 65.5² ≈ 13478.2 ft²
Area of each slice = total area /50 = 13478.2/50 ≈ 269.5 ft²
Length of crust = 2πR * (slice area/total area)
= 2 * 3.14 * (1/50)
≈ 0.125 ft
Your Turn: Find the equation of a line that is parallel to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK
Simplify (s)(-3st)(-1/3).
A.) -3 1/3 t
B.) s^2t
C.) 3s^2t
(If this format is too weird I have added a screenshot)
Thanks in advance!
Angle a has the property that twenty eight times times its complement is equal to thirteen times its supplement. find the measure of angle
a.