Joey is building a frame for a sandbox. The sandbox is going be have the shape and dimensions below. If the diagonal of the sandbox measures 14 feet, what kind of quadrilateral will the sandbox be? Explain how you know.
Answers
Answer:
Quadrilateral
Step-by-step explanation:
In the sandbox, opposite sides are equal.
However, using Pythagoras Theorem
[tex]14^2\neq 12^2+8^2\\196 \neq 208[/tex]
Therefore, the sandbox cannot be a rectangle since if it were, each triangle must be a right triangle.
In the triangle
If [tex]c^2=a^2+b^2[/tex], C is a right angle If [tex]c^2<a^2+b^2[/tex], C is an acute angle If [tex]c^2>a^2+b^2[/tex] , C is an obtuse angleSince [tex]198<208[/tex], Angles C and X are acute angles.
Therefore, the sandbox does not satisfy the properties of any known quadrilateral. It is simply a quadrilateral-shaped sandbox.
Related Questions
The
is calculated by putting the data in
order and selecting the middle value.
The
is the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
is the sum of the data divided by
the number of data values.
The answer choices are mean, median, Mode, range.
Answers
Answer:
median, mode, range, mean
Step-by-step explanation
the median is found by putting the data in order and selecting the middle value
the mode is the value that occurs the most often
the range is the difference between the greatest and least value
and the mean is the sum of all the values divided by the number of values
Answer:
The ✔ median is calculated by putting the data in order and selecting the middle value.
The ✔ mode is the data value that occurs the most in a set of data.
The ✔ range is the difference between the maximum and minimum values of a data set.
The ✔ mean is the sum of the data divided by the number of data values.
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is 4.4.
The median of the data is 4 .
The mode of the data is 2 .
The range of the data is 7 .
Step-by-step explanation:
Just took the test from E D G E N U I T Y....
hope this helps :P
A sequence defined recursively by the formula f(n+1) = -2f(n) . the first term of the sequence is -1.5 what is the next term in the sequence Search Results Web results
Answers
Answer: hi the answer is 3
Step-by-step explanation:
Which is the equation of the parabola?
coordinate plane with a parabola facing up with vertex at 4 comma 2, the point 4 comma 6 and a horizontal line going through 0 comma negative 2
y = one sixteenth(x − 4)2 + 2
y = one sixteenth(x + 4)2 − 2
y = −one sixteenth(x − 2)2 + 4
y = −one sixteenth(x + 2)2 − 4
Answers
Answer: y = one sixteenth(x − 4)^2 + 2
Step-by-step explanation:
If the parabola is written as:
y = a*x^2 + b*x + c
then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
y = 1/6*(x + 4)^2 - 2 = 1/6x^2 + (8/6)*x + (16/6 - 2)
the vertex (4, 2)
then
x = -b/2a = 4.
this means that a and b must be of different sign, then the only correct option can be:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
where:
x-vertex = (8/6)/(2/6) = 4 as we wanted.
when we evaluate this function in x = 4 we get
y = 1/6*( 4 - 4)^2 + 2 = 2.
So the correct option must be: y = one sixteenth(x − 4)2 + 2
Answer: The correct answer is the first answer, a. y = one sixteenth(x − 4)2 + 2
Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2
Answers
Answer: (b) x = -2/3
Step-by-step explanation:
The vertical asymptote is the restriction on x.
The denominator cannot be equal to zero so that it the restriction.
Set the denominator equal to zero and solve for x to find the asymptote.
3x + 2 = 0
3x = -2
x = -2/3
On Wednesday, a local hamburger shop sold a combined total of 372 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answers
Answer:
93 hamburgers
Step-by-step explanation:
let cheeseburgers=c
let hamburgers=h
c=3h
c+h=372
Substitute c for 3h
3h+h=372
4h=372
h=93
c=h*3=93*3=279
279 cheeseburgers 93 hamburgers
Use the linear combination method to solve this system of equations. What is the value of x? A. Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. B. Negative 1 C. 0 D. 1
Answers
Answer:
x=1 , y = -1
Step-by-step explanation:
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
Add the equations together
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
---------------------------
-2.4 y = 2.4
Divide by -2.4
y = -1
Now find x
2.4x +1.2y = 1.2
2.4x +1.2(-1) = 1.2
2.4x -1.2 = 1.2
Add 1.2 to each side
2.4x -1.2+1.2 = 1.2+1.2
2.4x = 2.4
Divide by 2.4
x = 1
Answer:
x=1
Step-by-step explanation:
Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3
Answers
Answer:
x + y ≥ 3
x + y ≤ 3
Step-by-step explanation:
In the picture attached, the problem is shown.
The solution to the system:
x + y ≥ 3
x + y ≤ 3
is the line x + y = 3
In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.
Why is the median listed at 55 when none of the data points is 55?
Answers
Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.
Step-by-step explanation:
A can holds 2 liters of paint. How many cans can we fill with 11 liters of paint?
Answers
Answer:
5.5
Step-by-step explanation:
Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!
Choose the correct conversion of 25 grams to milligrams. A. 0.025 B. 0.25 C. 250 D. 25,000
Answers
Answer:25000 because 1 m is equal to 1000mm
PLEASE MARK ME AS BRAINLIEST
Claculate the height (x) of the tree.
Round your answer to the nearest foot and enter your answer
without units.
Answers
Answer:
50√3/3
Step-by-step explanation:
30-60-90 triangle
50:x = 2sqrt3 : 2
50*2 =100
100/2sqrt3 = 3
50√
3
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Can somebody help me with this one. It says use the vertical line test to determine which graph represents a function
Answers
Answer:
Only option C shows a function
Step-by-step explanation:
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.
In option A, a vertical line would cross two values, so it is not a function.
The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.
Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?
Answers
Answer:
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
Step-by-step explanation:
Let the total amount Ken must earn be k. Then 10% of that would cover leisure activities and the remaining 90% specifically for school expenses.
Then 0.90k = $2,160, and k = $2,400.
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
Find the value of y.
Answers
Answer:
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]
x[tex]\sqrt{3}[/tex] = 8
x = [tex]\frac{8}{\sqrt{3} }[/tex]
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
That is the hypotenuse of the smaller triangle. To find y...
[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]
2y = [tex]\frac{8\sqrt{3} }{3}[/tex]
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Hope this helps!
Are both 7 and -1/2 rational numbers? Why or why not?
Answers
Answer:
They are both rational numbers
Step-by-step explanation:
Rational numbers are terminated numbers, meaning that they have a definite end, even in decimal form. An irrational number is infinite; their decimal places go on forever (An example would be π).
Answer:yes
Step-by-step explanation:Any
Number which is in the form of p/q where both p and q are integers and q is not equal to 0 is called a rational number. -1/2 satisfies this hence it is a rational number. 7 can be written as 7/1 which also satisfies this hence it is also a rational number.
Hope it is clear and please mark me as Brainliest
Si Luis paga 1546 centavos de los 1290 dólares que debía ¿cuánto le falta pagar?
Answers
Luis debia 12900 centavos y paga 1546 centavas entonces el todavía debe 11354 centavos
Find the area of a circle with diameter of 10 cm. Let pi = 3.14
Answers
Answer:
A = 78.5 cm^2
Step-by-step explanation:
The diameter is 10 so the radius is 1/2 of the diameter
r =1/2d = 1/2(10) = 5
The area of a circle is
A = pi r^2
A = 3.14 (5)^2
A = 78.5 cm^2
Calculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
a. mean = 14.75, median = 15 mode = 16
b. mean = 15, median = 16, mode = 16
c. mean = 14.889, median = 16, mode= 16
d. mean =15, median =15.5, mode = 16
Answers
Answer:
d.mean =15, median =15.5, mode = 16
Step-by-step explanation:
hello,
to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.
to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.
last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.
hope this helped!
The chef in a restaurant makes a large kettle of soup each day. The restaurant sells the soup in different-sized bowls.
At 7 p.m the kettle contains 20 3/8 cups of soup. A server scoops 5/8 cup from the kettle into a small bowl. How many cups of soup are left in the kettle?
Answers
Answer: 79/4
Step-by-step explanation:
The kettle contains 20 3/8 cups of soup = 163/8 cups
A server scoops 5/8 cup from the kettle
So,
163/8 - 5/8 = 158/8 = 79/4
Choose the correct conversion of 42 grams to milligrams. A. 0.042 B. 0.42 C. 420 D. 42,000
Answers
Answer:
42,000 mg
Step-by-step explanation:
multiply the mass value by 1000
42K thats all--------------------
These triangles are NOT similar! Why not?
Use calculations AND words to explain.
Answers
Answer:
Similar triangles are (roughly speaking) triangles that have the same angles and the same ratio of the length of their sides
We can use ratios to show that the triangles are not similar
14:20 as a fraction is 14/20 as a decimal is 0.7
12:16 as a fraction is 12/16 as a decimal is 0.75
The side lengths are not the same proportion as shown by the different decimal, so the triangles are not similar
According to the graph, what is the value of the constant in the equation
below?
Answers
Answer:
A, 0.4
Step-by-step explanation:
took the test! saw the other answer was wrong
The constant in the equation is 0.24
Data;
height = 0.8width(1) = 0.5width(2) = 0.8constant = ?ConstantTo find the constant in this data, we are given a formula which is
[tex]height = \frac{constant}{width}[/tex]
But the width can be found from subtracting the values from two consecutive width
[tex]width = 0.8 - 0.5 = 0.3[/tex]
The height that corresponds to this width is 0.8.
Let's substitute this in the formula and solve
[tex]height = \frac{constant}{width} \\constant = height * width\\constant = 0.8 * 0.3 = 0.24[/tex]
The constant in the equation is 0.24
Learn more on equations here;
https://brainly.com/question/14323743
Determine the value of x in the figure answers: x =43 x = 8 x = –4 x = 4
Answers
step by step-
4x-8=x+4
+8 +8
—————
4x=x+12
-x -x
—————
3x=12
— —
3 3
—————
x=4
Answer:
x = 4
Step-by-step explanation:
Since the two base angles are equal, the sides must be equal
4x-8 = x+4
Subtract x from each side
4x-x -8 = x+4-x
3x -8 =4
Add 8 to each side
3x-8+8 = 4+8
3x= 12
Divide by 3
3x/3 = 12/3
x = 4
HELLLLPPP MEEEEE PLEASEEEE Let g(z) = -3z-1. Find the following value. g(z+h)
Answers
Answer:
g(z-1)
Step-by-step explanation:
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answers
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).
Solve the inequality. 3(7z + 1) less than 3 The solution set is z | ?
Answers
Answer:
z=1
Step-by-step explanation:
3x7z+1
21z+3
divided by 3
7z
divide by 7
z=1
Answer:
Z<0
Step-by-step explanation:
21z+3<3
21z<3-3
21z<0
Z<0
Answer this problem 6/7×1/2 =
Answers
Explanation:
Since it’s multiplying fractions, you don’t need to find a common denominator, just multiply across.
6/7 * 1/2 = 6/14 = 3/7
The value of the equation is A = 3/7
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be represented as p
The value of p = 6/7
Let the second number be represented as q
The value of q = 1/2
The value of A = p x q
Substituting the values in the equation , we get
A = ( 6/7 ) x ( 1/2 )
On simplifying the equation , we get
A = ( 6/14 )
Divide by 2 on numerator and denominator , we get
A = 3/7
Therefore , the value of A is 3/7
Hence , the equation is A = 3/7
To learn more about equations click :
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A rabbit can run 45 miles in 15 minutes what is the unit rate
Answers
Answer:
A rabbit can run 3 miles in one minute.
Step-by-step explanation:
45 : 15
3 : 1
A rabbit can run 3 miles in one minute.
On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 4). Function g (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.5) and goes through (1, negative 4).
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis?
g(x) = Negative two-fifths(10)x
g(x) = Negative two-fifths (one-tenth) Superscript x
g(x) = Two-fifths (one-tenth) Superscript negative x
g(x) = Two-fifths(10)-x
Answers
Answer:
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
In order to reflect a function over the x-axis, you have to multiply the function by minus one.
Given the function:
f(x) = 2/5(10)^x
Its reflection over the x-axis is:
-f(x) = -2/5(10)^x = g(x)
Answer:
answer is A
Step-by-step explanation:
Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?
Answers
Answer:
Choice D
Step-by-step explanation:
[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]
Hope this helps!
Cubic feet would be volume.
Volume = length x width x height
Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.