The length of the median = 6[tex]\sqrt{3}[/tex]
If we call the longer base "a" and the shorter base "b", then we know that:
a:b = 2:1
Since the ratio of the four sides is 1:1:1:1, we know that the height, median and the longer base are all equal.
We can use that information to determine the area of the trapezoid. The formula for the area of a trapezoid is:
Area = (a + b) * h / 2
We know that the area is 27[tex]\sqrt{3}[/tex] and the height and median are equal, so we can set up the equation:
(a + b) * h / 2 = 27[tex]\sqrt{3}[/tex]
We also know that a:b = 2:1, so we can substitute that in:
(2b + b) * b / 2 = 27[tex]\sqrt{3}[/tex]
Simplifying, we get:
3b^2 = 54 * [tex]\sqrt{3}[/tex]
So the length of the median (h) is b
= [tex]\sqrt{(54 * \sqrt{3} / 3) }[/tex]
= 6[tex]\sqrt{3}[/tex]
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if you are traveling at 60 mph you will travel almost the length of a football field in how many seconds
Time taken to cross the field will be 3.36 seconds.
What does physics mean by speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. There are four different types of speed. constant speed, varying speed, an average rate, instantaneous speed.
Solution,
Given,
speed=60 mph
length of football field=0.056 miles
time taken to cross it = distance/speed
time=0.056/60=0.00093 hour = 3.36 seconds.
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Ivan is a software salesman. His base salary is $2400, and he makes an additional $110 for every copy of History is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of coples of History is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 24 coples of History is Fun.
The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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Someome please help me
Answer:
Step-by-step explanation:
Tell your teacher thet you need more helpp and pay attention to math
For the function
[tex]f(x)=x^2-2x-8\\[/tex]
Find the equation of the line of symmetry.
no links please and thank you! Please help ASAP! Will give Brainliest!
Answer:
x = 1
Step-by-step explanation:
For a quadratic function [tex]f(x)=ax^2+bx+c[/tex], the axis of symmetry is
[tex]x=-\frac{b}{2a}[/tex].
This comes from using part of the Quadratic Formula for finding zeros of the function:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}[/tex]
See the -b/(2a) in the first term? That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function. The axis of symmetry goes through the vertex.
constant rate of change = 4
Y -intercept = 7
Answer:
You would write it like -
y = 7 + 4x
or y = 4x + 7
Multiple Choice: Choose the best answer for each question.
6 cm
4. Find the area of the kite at the right.
11 cm
1 cm
a. 72 cm
c. 144 cm
b. 396 cm
d. 33 cm
Answer:
The area of the kite at the right is 72
Graph the line y=-2x-1
Answer:2024
Step-by-step explanation:
Uh please answer correctly I’ll mark you brainlist after I see if it’s correct!
Answer:
The equation for the volume of a rectangular prism is V=whl or width x height x length. The width is 7/2, the height is 7/5, and the length is 5. Multiply all of these numbers to get 49/2 or 24.5.
Answer:
24.5 cm cubed
(3.5 (7/2) times 1.4 (7/5) times 5)
Step-by-step explanation:
7/2cm multiplied by 7/5cm multiplied by 5cm
(3.5 times 1.4 times 5 = 24.5)
If you start with 1 marble in a jar and double the amount of marbles in a jar every minute, you will fill the jar in 60 minutes. How many minutes will it take for the jar to be half full?
Answer: 59min
Step-by-step explanation:
please help!!!!
Solving Systems of Linear Equations by Elimination
C.
0.6x = 1.2 +0.3y
2.2x-1.8y-1.6=0
By using systems of linear equations by elimination, it can be determined that x = 0.5 y +2 and 2.2x-1.8y-1.6=0 are equivalent to x=0.818182 and y+0.727273.
What do you meant by Systems of Linear Equations by Elimination ?Using elimination, let's fix your system. 0.6 x=1.2+0.3 y, 2.2 x-1.8 y-1.6=0 in the graph, and y=2 x-4, y=1.222222 x-0.88888
Step 1: Divide both sides by 0.6 to find the solution for x = 0.6 x=1.2 + 0.3 y.
[tex]$$\begin{aligned}& \frac{0.6 x}{0.6}=\frac{0.3 y+1.2}{0.6} \\& x=0.5 y+2\end{aligned}$$[/tex]
Let's figure out what x is, 2.2 x-1.8 y-1.6=0.
First, multiply both sides by 1.8 y.
[tex]$$\begin{aligned}& 2.2 x-1.8 y-1.6+1.8 y=0+1.8 y \\& 2.2 x-1.6=1.8 y\end{aligned}$$[/tex]
Add 1.6 to both sides in step two.
[tex]$$\begin{aligned}& 2.2 x-1.6+1.6=1.8 y+1.6 \\& 2.2 x=1.8 y+1.6\end{aligned}$$[/tex]
3. Multiply both sides by 2.2.
[tex]$\frac{2.2 x}{2.2}=\frac{1.8 y+1.6}{2.2}$[/tex]
x=0.818182 y+0.727273
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
L = 40 The length is AC
W = 20 The width is AB
Step-by-step explanation:
Givens
P = 120
AB = 1/2 AC
Solution
P = L + L + W + W
W = 1/2 L
P = L + L + 1/2L + 1/2L Combine like terms
P = 3L
120 = 3L Divide by 3
3L/3 = 120/3
L = 40
W = 1/2 L
W = 1/2 * 40
W = 20
A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. How many cups of white paint will it be for 1 cup of red paint?
3) Breanna thought of a number, subtracted 4 from it, and then multiplied her answer by 3. She got
a final number of 24. What was her starting number?
The graph shows a line and two similar triangles.
What is the equation of the line?
A. y=3/2x
B. y=2/3x
C. y=3x
D. y=2x
Answer:
y=3/2×
Step-by-step explanation:
the one line is the 3cm and the another line is 2cm
The equation of the line is y = 3/2 x
What is equation of line ?"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.
The equation of line is a linear equation with a degree of one."
The two points are origin and (6,4).
Using 2 point form we have
y - y1 = (y2 - y1/x2-x1) * x - x1
y - 0 = ( 6 - 0 / 4 - 0 ) * x
y = 3/2 x
Hence, A is the correct option.
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HELPPPP!!! PLEASEEE!!! THANK U:)
Answer:
1st, 2nd, and 3rd options
Step-by-step explanation:
Some of the main properties of a kite:
It has no parallel sides
It has two pairs of congruent sides
It has two pairs of congruent angles
the diagonals are perpendicular
the longer diagonal bisects the other diagonal
opposite sides are not congruent
Answer:
hope this helps you bye..
Find the measure of the arc or angle indicated
Answer:
the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.
Step-by-step explanation:
Answer:
A) 64°
Step-by-step explanation:
By intersecting secants theorem:
[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]
[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]
[tex] 70\degree =134\degree - m\widehat {BD} [/tex]
[tex] m\widehat {BD} =134\degree - 70\degree[/tex]
[tex] m\widehat {BD} =64\degree[/tex]
During a sale, a store offered a 20% discount on a tablet computer that originally sold for $490. After the sale, the discounted price of the tablet computer was marked up by 20%. What was the price of the tablet computer after the markup? Round to the nearest cent.
Step-by-step explanation:
I think you have to change 20% to a fraction
Please help me!
Will give you brainlist!!!!
simplify the equation b^5•b^8
Write an equation for this situation: The cost of renting a car is $30 per day.
(2.3x104)x(1.5x10-2)
Answer:
(2.3x104)x(1.5x10-2) = 3109.6
please also show the steps to get the answer
Answer:
95 degrees
Step-by-step explanation:
Angle S is 95 so arc QR = 95×2 = 190
Total arc is 360 degree
Now to find arc QS
arc QS + arc SR + arc QR =360
arc QR + 75 + 190 =360
arc QR = 360- 265
arc QR = 95 degrees
Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?
The total number of coins Piper has in her collection is 100 coins.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.
Let, The total number f coins in the box be 'x'.
Therefore, 2% of 'x' is 12 which can be numerically expressed as,
(2/100)×x = 12.
0.02x = 12.
x = 2/0.02.
x = 100.
So, She has 100 coins in her box.
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The coordinates of triangle DEF are D(4,3) E(8,3 and F(6,8). If you tendkwte triangle DEF 3 units right and 3 units down what are the coordinates of F
Answer:
(9,5)
Step-by-step explanation:
I don't get this question can some one please help me solve it
Answer:
3, 2
Step-by-step explanation:
In order for the equation to be equal to zero, the following must be true:
x-3 = 0 or,
x-2 = 0
Therefore the 2 solutions are x=3, x=2
Answer ALL of the questions. LOOK AT ALL THE PICTUERS .Show your work. if you can show me a picture of your work and the step you did to complete it. HELP ME PLZZ.
BRAINLEST TO I GIVE BRAINLIEST
Zeke drove 143miles in 3 hours. What is his average rate of speed (m
please help i need to get a good grade but i’m stuck
Answer:
47.6667 mph
Step-by-step explanation:
143 divided by 3=147.6667
- if you want to round it then use 47.7 mph
Answer:
47.7 mph
Step-by-step explanation:
His average rate (speed) is
143 miles
s = -------------------- = 47.7 mph
3 hours
Find the measure of the indicated angle to the nearest degree.
Answer:
57⁰
Step-by-step explanation:
To get the indicated angle we need to use the knowledge of trigonometry.
Since the required angle has both opposite and adjacent sides we use Tangent
Tan ? = opposite/adjacent
= 37/24
= 1.5412
To get the angle we now need to to find the tan inverse of the value we found
Tan inverse of 1.5412
= 57.03⁰
to the nearest degree it will be 57⁰
Which of the following is a net?
Answer:
C.
Step-by-step explanation:
why?
a net spreads the actual look when it's open
HOPE IT HELPS
(FROM CROSS)
What does an inverse function look like?
Inverse functions are indicated by the symbol [tex]f^{-1}[/tex] and are functions whose inverse is the function itself (x).
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.
The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.
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