The height of the trapezoid is 6 cm
How to find the height?The given parameters are:
Bases = 5cm and 9cm
Area = 42 square cm
The height is calculated using
Area = 0.5 * (Sum of bases) * Height
So, we have:
42 = 0.5 * (5 + 9)* Height
This gives
42 = 7* Height
Divide through by 7
Height= 6
Hence, the height of the trapezoid is 6 cm
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Jill and Jack are exercising at a beach. They both start from the car park at one end of the beach. Jill runs at a constant speed and Jack walks at a constant speed. When Jill turns at the end of the beach to run back, she notices that Jack is then halfway along the beach. How far along the beach will Jack be when JIll next passes him
Jack is at (2/3) of the length of the beach (measuring from the point where they started).
How far along the beach will Jack be when JIll next passes him?Let's think that the whole beach is like a line track of length L.
We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.
So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).
At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.
Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.
A third of that distance is:
(L/2)/3 = L/6
So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:
L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3
Jack is at (2/3) of the length of the beach (measuring from the point where they started).
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Please help me. I need to find the names for AB, DA, BC, OA, and
Answer:
AB - Diameter
DA - Tangent
BC - Chord
OA - Radius
CAB - Inscribed Angle
I need this done real quick
Triangles A B C and X Y Z is congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Triangle A B C is reflected across a line to form triangle X Y Z.
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex X. What is the second transformation?
a reflection across the line containing AB
a reflection across the line containing AC
a rotation about point A
a rotation about point B
The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
As per the given description if the two rigid transformations are used to map ΔABC to ΔXYZ, and the first is a translation of vertex A to vertex X, then the second transformation will be A reflection across the line containing AC.
Hence, the correct option is B.
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Answer:
A see picture
Step-by-step explanation:
i need help on this question !!!
Answer:
C is the right answer I think
? Question
Jessica wants to add a border around the edge of the solar panels to help protect them from weather events.
Write the standard form expression that represents the amount of border material Jessica will need.
Enter the correct answer in the box.
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(0) 101 dº +
Vo 4
X
11
=
2
TT
a B C 9
HP O
A
sin cos tan sin costan
csc sec cot log log in
Submit
0
||
0
1
a
.
ΣΔΠ Σ
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27 of
.
The standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.
How to compute the expression?Fron the information given, Jessica is using polynomials to represent the dimensions.
The width is 4c² + 5x and the length is 7c - 3. The height is also represented as 2c + 6d.
Here, the standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.
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PLEASE ANSWER ASAP TO WHOEVER ANSWERS FIRST WITH STEP BY STEP EXPLANATION WILL BE MARKED AS BRAINLIEST!!!<33
Answer:
Hope it helps you..............
that is my I hope it helps you
Ariana bought 153 ounces of flour and she used 21.4 ounces of it to make biscuits. How much is left?
For f(x)=2x+1 and g(x)=x^2-7, find
◯ A.
B.
C.
D.
2x+1
3²-9
x²-7
2x+1
2x+1
ラ
x²-7
2x+1
x=-1212
(1)
(木)
Answer:
-1468955
Step-by-step explanation:
please don't forget to write down the correct questions and formula.
find f(x) of g(x)
f(x)=2x+1 and g(x)=x²-7
F of G = 2(x²-7)+1
= 2x²-14+1
= 2x²-13
according to the question x=-1212
so there for f(x) of g(x)=2(-1212)²-13
=-1468955
A line plot could be used as a data display for the distribution of test scores in math class. true or false
A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.
A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.
The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.
The line plot, as we know, marks the dots across the number line, indicating frequency.
Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.
Thus, the option to choose is true.
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Which of the following represents a rotation of △EFG, which has vertices E(4,−3), F(−7,5), and G(2,8), about the origin by 180°?
Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The rule for a rotation of 180º about the origin is:
(x,y) -> (-x,-y).
Hence, for triangle EFG, the vertices after the translation will be given as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
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Answer:
Step-by-step explanation:
75 out of 300 oranges in a basket are bad. what percent age of the oranges are (a) bad (b)good
Answer:
a) 25% are bad
b) 75% are good
Step-by-step explanation:
We know that there are 300 oranges total and that 75 are bad. That means that the rest are good (implied).
300 - 75 = 225 good oranges.
So to find the percentage we have to take the selected amount divided by the total amount.
Bad Apples: Good Apples:
75 / 300 = 0.25 225/300 = 0.75
However, that's a decimal or a number out of 1, we need a percent or a number out of 100. So we have to multiply both numbers by 100.
Bad Apples = 25%
Good Apples = 75%
Marcia made spiral books to sell at her local craft fair. She forgot to count how many she made before the fair. She knows that she spent $176.80 in supplies to make the books. If each book requires two chipboard covers at a cost of $0.74 per cover and one spiral wire at a cost of $0.60, which equation can be used to find the number of books, n, she made?
A. 0.60n + 0.74n = 176.80
B. 0.60n + 1.48n = 176.80
C. 0.60n + 0.74 = 176.80
D. 0.60n + 1.48 = 176.80
Answer:
B) 0.60n+1.48n = 176.80
Step-by-step explanation:
0.60 for every spiral wire per book = 0.60*n
0.74 per chipboard cover, 2 needed for each book = 1.48 per book = 1.48*n
Put it together: 0.60n+1.48n = 176.80
A tourist in France wants to visit 12 different cities. How many different routes are possible?
A. 39,916,800
B. 144
C. 479,001,600
D. 12
The different routes are 479,001,600
How to determine the number of routes?The number of cities is given as:
n = 12
The cities are different.
So, the number of routes is:
Routes = 12!
Expand
Routes =12 * 11 * 10 * 9 * ..... * 1
Evaluate
Routes =479,001,600
Hence, the different routes are 479,001,600
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The area of ∆ABC is 100 square centimeters. The area of ∆DEF is square centimeters.
The area of the similar triangle named ∆DEF is; 4 square centimeters.
How to find the area of a similar triangle?
We are given that ∆ABC is similar to ∆DEF.
The perimeter of ∆ABC is five times the perimeter of ∆DEF. Thus;
(Perimeter of ΔABC) = 5(Perimeter of ΔDEF)
Thus;
(Perimeter of ΔABC)/(Perimeter of ΔDEF) = 5
Thus, we can say that;
Scale factor, K = 5.
Since the area of ∆ABC is 100 square centimeters, Then;
(area of ∆ABC)/(area of ∆DEF) = K²
100/(area of ∆DEF) = 5² = 25.
(area of ∆DEF) = 100/25 = 4.
Thus, the area of ∆DEF is 4 square centimeters.
Complete Question is;
∆ABC is similar to ∆DEF. The perimeter of ∆ABC is five times the perimeter of ∆DEF. The area of ∆ABC is 100 square centimeters. The area of ∆DEF is square centimeters
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A wheel with radius $1\text{ m}$ is rolled in a straight line through one complete revolution on a flat horizontal surface. How many meters did the center of the wheel travel horizontally from its starting location
The distance traveled by the center is equal to the distance traveled by the wheel 6.28m is traveled by the center.
Given: A wheel with a radius rolled in a straight line through one complete revolution on a flat horizontal surface.
To Find: How many meters did the center of the wheel travel horizontally from its starting location.
Solution:
consider the figure attached.
radius of wheel [tex]=1m[/tex]
Horizontal distance traveled by the wheel in one complete revolution
=circumference of the wheel
[tex]\\=2\pi r\\=2*3.14*1\\=6.28m[/tex]
Hence, the distance traveled by center is equal to the distance traveled by the wheel 6.28m is traveled by the center
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Which expressions are equivalent? Check all that apply.
3^9
3^4
-9²
9^9
081¹
Answer:
b, c, and e
Step-by-step explanation:
a. 3^9 = 3 × 3 × 3× 3 × 3 × 3 × 3 × 3 × 3
= 27 × 27 × 27 => 19683
b. 3^4 = 3 × 3 × 3 × 3
= 9 × 9 => 81
c. -9² => 81
d. 9^9 = 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9
= 729 × 729 × 729 => 387420489
e. 81¹ => 81
b, c, and e are all equal to 81
⊱________________________________________________________⊰
Answer:
Step-by-step explanation:
[tex]\LARGE\begin{gathered}\sf{Evaluate \ All \ Expressions \ First} \\ \sf{ 3^9=19683} \\ \sf{ 3^4=81} \\ \sf{-9^2=81, \ or \ -81, \because} \\ \sf{there's \ a \ difference \ between (-9)^2 \ and \ -(9)^2} \\ \sf{(-9)^2=81 \ and -(9)^2=-81} \\ \sf{ 9^9=387,420,489} \\ \sf{0.81^1=0.81\end{gathered}[/tex]
Now, can you see the expressions that are equivalent?
⊰______________________________________________________⊱
CαlligrαρɦγIf the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?
The x-intercepts of the given quadratic function are -2 and 9.
What is a quadratic function?
A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.
A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).
Roots of the Quadratic Equation
Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,
(x+2)*(x-9)=0
∴ x+2=0
⇒ x=-2
Similarly,
x-9=0
⇒ x=9
Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.
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This is my answer i dont know you like it or not
can someone please please help me with this question !!!
Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
[tex]f(x)=a(x-2)(x-6)[/tex]
Substituting in the coordinates of the vertex,
[tex]-4=a(4-2)(4-6)\\\\-4=a(2)(-2)\\\\-4=-4a\\\\a=1[/tex]
So, the equation is [tex]f(x)=(x-2)(x-6)[/tex].
On expanding, we get [tex]f(x)=x^2 - 8x+12[/tex]
Figure AAA is a scale image of Figure BBB.
What is the value of xxx?
Quick!
help me please I have got to do this by tmr it's my final question
Answer:
ABF = 70
Step-by-step explanation:
Since angle EFD is 35, that means that angle AFB is also 35
Single BCD is 75, that means that angle BAF is also 75
Angles in a triangle add up to 180, thus:
75 + 35 + x = 180
x = 70
Determine two pairs of polar coordinates for (3,-3) when 0
The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).
What is a polar coordinate?A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
Next, we would determine the distance (r) and angle (θ) as follows:
r = √(3² + (-3)²)
r = √(9 + 9)
r = 3√2.
θ = tan⁻¹(-3/3)
θ = tan⁻¹(-1)
θ = 3π and 7π/4 (second and fourth quadrants).
Converting to degrees, we have:
θ = 135° and 315°.
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Complete Question:
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
Consider the graph of f(x) given below.
Answer: A
Step-by-step explanation:
The y-intercept of f(x) is 3, so clearly we want a shift 5 units down.
How many apples?
Help me please, thanks so much
The number of Apples that were in the given fruit salad is approximately; 2170 Apples.
How to work with ratio questions?We are given the ratio of apples to oranges as;
A:O = 31:11
Now, we are told that there are 2940 apples and oranges in total.
Thus, the fractions of apples and oranges of the total will be;
Apple fraction = 31/(31 + 11) = 31/42
Orange Fraction = 11/42
Thus;
Number of Apples = (31/42) * 2940
Number of Apples = 2170 Apples
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2. Use the Distributive Property to determine which of the following statements is equivalent to 5(6-2).
O11-2
30-2
O11-7
tive OR (JL22) 1 Tools Of The Trade
30 - 10
A
Answer:
30 - 10
Step-by-step explanation:
When you distribute, that means you multiply everything on the outside of the parentheses by everything on the inside.
5 (6-2)
is really
5*6 - 5*2
30 - 10
What the answers I really need to know I’m doing summer school !!
Based on the geometric figures shown, the three collinear points are:
Point APoint TPoint BWhat are collinear points?Collinear points can be defined as three or more points that all lie on the same straight line (single line). Based on the geometric figures shown in the image below, the three collinear points include:
Point APoint TPoint BAnother name for line AB is line segment BA, AT, BT, TA, TB. Also, a line in plane Z is line segment AT or line l.
Based on the image shown, the intersection of planes Z and W is line segment AT.
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Carson is a salesman at an insurance company. He receives a monthly salary of $1,027.00 and a $185.00 commission on each
policy he sells. If Carson receives his commission check at the end of the month along with his salary check, which of the following
functions can be used to determine his total pay for the month?
(Let x represent the number of policies sold and f(x) represent the total amount of pay for the month.)
Answer: He receives a monthly salary of $1,478.00 and a $249.00 commission on each policy he sells. If Carson receives his commission check at the end of the month ...
Step-by-step explanation:
Which inequality represents all the solutions of 8(6x-7) <5(9x - 4)?
O A.
OB.
OOO
O C.
OD.
X> 12
x < 12
x> 20
x < 20
Hello,
8(6x-7) <5(9x - 4)
48x - 56 < 45x - 20
48x - 45x < -20 + 56
3x < 36
x < 36/3
x < 12
Area=
Help me please. Stuck on this question thanks
Answer: 252
Step-by-step explanation:
base times height
Answer is :
Step-by-step explanation:
Length ( L ) = 12 m
Breadth ( B ) = 21 m
Area ( A ) = ?
By using formula ,
Area = Length × Breadth
Area = 12 × 21
Area = 252 #
Sylvie finds the solution to the system of equations by graphing.
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 1. y equals negative StartFraction 2 over 3 EndFraction x minus 1x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
A coordinate grid with 2 lines. The first line passes through the points (negative 1.7, 1.57), (0, negative 1), and (2, negative 4). The second line passes through the points (negative 1.7, 1.57), (0, 1), and (3, 0).
A coordinate grid with 2 lines. The first line passes through the points (negative 1.02, 0.63), (0, negative 1), and (2, negative 4). The second line passes through the points (negative 1.02, 0.63), (0, 1), and (3, 2).
A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).
The graph that shows the solution to the system of equations is attached below.
How to Find the Solution a System of Linear Equations?The solution to a system of linear equations is the point where the two graphs intersect. The coordinates of that point is the solution.
Given the system as:
y = 2/3x + 1
y = -2/3x - 1
Add both together to eliminate x
2y = 0
y = 0
Substitute y = 0 into y = 2/3x + 1 to find x
0 = 2/3x + 1
-1 = 2/3x
-3 = 2x
-3/2 = x
x = -3/2
The solution is: (-3/2, 0) = (-1.5, 0).
Therefore, the graph that shows the solution will intersect at (-1.5, 0), which is shown in the image attached below.
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Answer:
c
Step-by-step explanation:
way simple