Find the area of the following shape. A(-5,-8) B(1,-8) C(3,-5) D(1,0) E(-5,-3) F(-3,-6). You must show work to receive credit.
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now... notice the left-side of the picture. that's the points and shape... ok.. notice the left-side, is really just two rectangles and and four triangles stacked up to each other at the edges.
so.. .just get the area of each rectangle and each triangle, sum them up, and that's the area of the shape.
you can pretty much get the length, width and height of the rectangles and triangles from the grid.
recall area of a triangle = 1/2 bh
Related Questions
The French club is sponsoring a bake sale. If their goal is to raise at least $135, how many pastries must they sell at $2.50 each in order to meet that goal? Write and solve an inequality.
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X * 2.5 ≥ 135
X ≥ 54
So answer will be 54 pastries
Please help with this question! thanks :)
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the tallest line in the graph is 3
so 3 would be the answer
Solve log2(6-2x)-log2x=3
Answers
Join logarithms (always):
log2(6-2x)-log2(x) = log2( (6-2x/x) )
Then get rid of it! :)
(6-2x)/x = 2^3=8,
Solve the equation:
6-2x=8x ---> 10x=6 ---> x = 3/5.
What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?
a. 0, −4, −3
b. 0, −4, 3
c. 0, 4, −3
d. 0, 4, 3
Legit answer plz
this is important
Answers
x(x^2-x-12)=0 factor parenthetical expression
x(x^2-4x+3x-12)=0
x(x(x-4)+3(x-4))=0
x(x+3)(x-4)=0
So x=-3, 0, 4
So c) 0, 4, -3
Answer:
The correct option is c.
Step-by-step explanation:
The given function is
[tex]f(x)=x^3-x^2-12x[/tex]
Taking out the common factors.
[tex]f(x)=x(x^2-x-12)[/tex]
Now, factorize the parenthesis.
[tex]f(x)=x(x^2-4x+3x-12)[/tex]
[tex]f(x)=x(x(x-4)+3(x-4))[/tex]
[tex]f(x)=x(x-4)(x+3)[/tex]
Equate the function equal to 0, to find the zeros of the polynomial function f(x).
[tex]f(x)=0[/tex]
[tex]x(x-4)(x+3)=0[/tex]
Using zero product property, we get
[tex]x=0[/tex]
[tex]x-4=0\Rightarrow x=4[/tex]
[tex]x+3=0\Rightarrow x=-3[/tex]
The zeros of the polynomial function f(x) are 0,4,-3. Therefore the correct option is c.
cot^2x-csc^2x=-1 for all values of x true or falsse
Answers
sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x
These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with
cot²x - csc²x = -1
This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.
The original equation cot^2x - csc^2x = -1 is true for all values of x.
How to determine if cot^2x-csc^2x=-1 for all values of xThe equation cot^2x - csc^2x = -1 is true for certain values of x, but not for all values of x.
To see why, let's break down the equation using trigonometric identities:
cot^2x - csc^2x = -1
Using the reciprocal identities, we can rewrite cot^2x and csc^2x in terms of sine and cosine:
(cos^2x / sin^2x) - (1 / sin^2x) = -1
Now, let's simplify:
(cos^2x - 1) / sin^2x = -1
Using the Pythagorean identity cos^2x + sin^2x = 1, we can substitute cos^2x with (1 - sin^2x):
(1 - sin^2x - 1) / sin^2x = -1
-sin^2x / sin^2x = -1
Now, we can cancel out the sin^2x terms:
-1 = -1
This equation holds true for all values of x. Therefore, the original equation cot^2x - csc^2x = -1 is true for all values of x.
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(30 Points) Paysly is studying a mosquito with a mass of 2.5×10^-6 kilograms and a housefly with a mass of 2×10^-5 kilograms. Which statement is true?
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B.The housefly is 8 times the mass of the mosquito.
juanita and lauren are painting a circular mural on one wall of the community center. the area of the mural is 66 square meters. what is the radius
Answers
Final answer:
The radius of Juanita and Lauren's circular mural with an area of 66 square meters is approximately 4.58 meters.
Explanation:
Juanita and Lauren's mural has an area of 66 square meters, and we need to find the radius of the circular mural. To find the radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius. Since the area of the mural is 66 square meters, we have:
66 = πr²
To solve for the radius (r), we divide both sides of the equation by π:
r² = 66 / π
Then, take the square root of both sides to get:
r = √(66 / π)
Using a calculator to compute this, we find:
r ≈ 4.58 meters (rounded to two decimal places)
Therefore, the radius of the circular mural is approximately 4.58 meters.
The masses, in kg, of some bags on an airplane are shown below: 7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3 Jack made the following box plot to represent the masses: box plot shows minimum at 5.8, first quartile at 6.1, median at 6.3, third quartile at 6.8 and maximum at 7 Which of the following did Jack show incorrectly on his box plot?
Answers
Answer:
The value that Jack show incorrectly on his box plot is:
Median ( As he showed median is 6.3 but median is 6.2)
Step-by-step explanation:
We are given the mass of the bags as:
7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3
On arranging the data in the increasing order we have:
5.8 6.1 6.1 6.2 6.2 6.2 6.3 6.8 6.8 7
There are a total of 10 data points.
Also, the minimum value is: 5.8
Maximum value is: 7
The median is the central tendency of the data and lie in the middle of the data.
Hence, Median lie between 6.2 and 6.2
Hence, Median=6.2
Also, the lower set of data is: 5.8 6.1 6.1 6.2
The lower quartile or first quartile is the median of lower set of data is: 6.1
Also, the upper set of data is: 6.3 6.8 6.8 7
The upper quartile or Third quartile is the median of lower set of data is: 6.8
Hence, he showed median incorrectly in the box plot.
:)
If n is a positive integer and the product all the integeres from 1 to n inclusive is a multiple of 990 what is the least possible value of n
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Since 990=2*3²*5*11 ==>n=11
Triangle XYZ is a right triangle. Angle Z is a right angle and m∠X = 68°. What is m∠Y?
Answers
< X + < Y + < Z = 180
68 + Y + 90 = 180
158 + Y = 180
Y = 180 - 158
Y = 22 <==
m∠Y is 22°
What is right triangle?Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.
Given,
ΔXYZ is a right triangle
m ∠Z = 90°
m∠X = 68°
Let m∠Y = x,
∵ Addition of interior angles of a triangle is 180°
So, m∠X + m∠Y +m ∠Z = 180°
Subsitute the values,
68° + x + 90° = 180°
x = 180 - 158
x = 22
Hence, m∠Y = 22°
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The line y = x − 6 y=x−6 has exactly one point in common with the circle x 2 + y 2 = r 2 x2+y2=r2. what is the value of r 2 r2?
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y = x - 6 (1)
for the line
x² + y² = r² (2)
for the circle
When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²
Answer: r² = 2x² - 12x + 36
triangle abc is a right triangle. If AC = 4 and BC = 10, find AB. Leave your answer in simplest radical form.
Answers
The function P(t) = 5,000 (0.93)t is the value of a motor scooter t years after it is purchased. Which of the following values show the annual depreciation of the value of the motor scooter?
93
-7
50
7
Answers
P(t) = 5,000 (1-7%)t
P(t) = 5,000 (0.93)t
The annual depreciation rate is 7%
Answer:
Option 4 - 7%
Step-by-step explanation:
Given : The function [tex]P(t) = 5000 (0.93)^t[/tex] is the value of a motor scooter t years after it is purchased.
To find : Which of the following values show the annual depreciation of the value of the motor scooter?
Solution :
We are given a function p(t) which is represented as:
[tex]P(t) = 5000 (0.93)^t[/tex]
Where, p(t) is the value of a motor scooter t years after it is purchased.
Depreciation is the amount that has been deducted from the cost of an item.
The rate of change is 1-0.93=0.07 i.e. 7%.
So, The function P(t) has 7% of the amount has been deducted each year and the value of the motor scooter is 93% of the amount of the previous year.
Therefore, The annual rate of depreciation is 7%.
So, option 4 is correct.
The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. A. True B. False
Answers
d = √[(x2-x1)^2+(y2-y1)^2]
This can be applied by first applying which is point 1 or point 2. Technically, it does not matter which is which, as long as you are consistent in pairing of the x,y coordinates. In this case, point 1 is (3,7) and point 2 is (x1,y1). Therefore, when you substitute the values, the distance would be
d = √[(x1-3)^2+(y1-7)^2]
The statement is TRUE.
Answer:
true
Step-by-step explanation:
took the test hope this helps
How many different selections of 4 books can be made from a bookcase displaying 12 books?
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(12 x 11 x10 x9) / (4 x3 x 2 x 1) = 495
there are 495 different ways to select 4 books
find the solution to the two equations shown below y=16x-9 y=-4x+21
Answers
Answer: (1.5, 15)
Step-by-step explanation:
The given system of equations :-
[tex]y=16x-9...................(1)\\\\y=-4x+21..................(2)[/tex]
Substituting the value of y from equation (1) in equation (2), we get
[tex]16x-9=-4x+21[/tex]
Now, Adding 4x and 9 on both the sides , we get
[tex]16x+4x=21+9\\\\\Rightarrow\ 20x=30\\\\\Rightarrow\ x=\dfrac{3}{2}=1.5[/tex]
Substitute the value of x in equation (1), we get
[tex]y=16(1.5)-9=15[/tex]
Hence, the solution to the given system of equations : (1.5, 15)
The solution to the given system of equation is (1.5, 15).
The given system of equations are
y=16x-9 ---------(i)
y=-4x+21 ---------(ii)
From equation (i) and (ii), we get
16x-9=-4x+21
16x+4x=21+9
20x=30
x=30/20
x=1.5
Substitute x=1.5 in equation (i), we get
y=16×1.5-9
y=24-9
y=15
Therefore, the solution to the given system of equation is (1.5, 15).
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Solve x3 = 64 over 27.
±8 over 3
8 over 3
±4 over 3
Answers
Cube root the answer
³√x³=³√64/27
x=4/3.
Check:
x=4/3
x³=(4/3)³
x³=64/27. As a result, the correct answer is 4/3 or 4 over 3. If you wonder why don't I choose the answer as ±4 over 3 because of this
±4/3
Choose positive first
(4/3)²=64/27 Correct. However, then choose negative signs
(-4/3)³=-64/27 Incorrect. Hope it help!
The solution of the given equation is ±8/3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is x³= 64/27
x=±∛(64/27)
x=±∛(8³/3³)
x=±8/3
Therefore, the solution of the given equation is ±8/3.
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How do I simplify this problem?
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(15x^2h+15xh^2+5h^3)/h= 15x^2+15xh+h^2
WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!
Find three solutions of the equation.
y = –3x
a.
(3, –9), (0, 0), (–1, 4)
c.
(–2, 6), (3, –9), (2, –7)
b.
(0, 0), (–3, 7), (–2, 6)
d.
(–2, 6), (3, –9), (–4, 12)
Answers
What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.
For each answer choice, you have to check all three of the given pairs.
(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.
Can you finish it?
18 divided by 5593 equals 31-5400 = 193 what number should be placed in the box to help complete the division calculation?
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The number that should be placed in the box to complete the division calculation is -7.
To find the number that should be placed in the box to complete the division calculation, let's analyze the given information:
- Dividend: 5593
- Divisor: 18
- Quotient: 31 (hundreds place is 3 and tens place is 1)
- When 5400 is subtracted from 5593, the result is 193.
- The box represents an unknown number in the ones place of the quotient.
To find the value in the box, we need to consider the units place. Since 5400 is subtracted from 5593 to give 193, the difference between the units places should be the value in the box.
193 - 5400 = -5207
So, the number that should be placed in the box to complete the division calculation is -7.
Correct question is:
What number should be placed in the box to help complete the division calculation?
Long division setup showing an incomplete calculation. 18 is in the divisor, 5593 is in the dividend, and 3 hundreds and 1 tens is written in the quotient.
5400 is subtracted from 5593 to give 193.
An unknown value represented by a box is being subtracted from 193.
What is the answer and steps if x=6
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[tex]Then....[/tex]
[tex]Because, \\ \sqrt{6-5=y}^2 \\ y^2 - 1 = 0 \\ \sqrt{6 - 5} = 1 \\ 1 \neq -1 \\ Answer(maybe) : y = 1 [/tex]
Start with a square piece of cardboard to produce a box that is 8 cm deep and whose capacity is exactly 1 liter. how large must the original square be
Answers
The formula for the volume of a square prism or box is calculated using the formula:
V = s^2 * h
where,
s is the measure of the sides of a square
h is the height of the prism or box = 8 cm
We are given that the volume capacity of the box must be 1 Liter. We know that 1 Liter is equivalent to 1000 cm^3. Therefore calculating for s:
1000 cm^3 = s^2 * (8 cm)
s^2 = 125 cm^2
s = 11.18 cm
Therefore the measure of the sides of the square must be about 11.18 cm. If the problem ask for the area of the square, A = s^2 = 125 cm^2.
What is the approximate area of a circle whose radius is 7? steps?
Answers
So plug in your numbers to get
3.14 * 7^2 = 153.94^2
Please help with this question
Answers
Bicycle city makes custom bicycles. They charge $160 plus $80 for each day that it takes to build the bicycle. If you have $480 to spend on your new bicycle, how many days can it take Bicycle City to build the bike?
Answers
80d≤320 divide both sides by 80
d≤4
So the maximum number of days it can take them to build the bicycle so that $480 will cover the cost.
Planes Q and R are parallel. Explain how you know lines a and b are skew.
Sample Response: Skew lines are noncoplanar and do not intersect. Line a lies in plane Q and line b lies in plane R, so the lines are not coplanar. No other plane can be drawn through the lines, so they are not parallel. So, a and b are skew
Answers
Sample Response:
Skew lines are noncoplanar and do not intersect. Line a lies in plane Q and line b lies in plane R, so the lines are not coplanar. No other plane can be drawn through the lines, so they are not parallel. So, a and b are skew.
Is the sqr root of 1.21 rational or irrational?
Answers
answer
rational
Please show work on how you got the answer
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[tex]x+2x=15[/tex]
[tex]3x=15 \newline x=5[/tex]
The lower segment is 10 feet long. The vaulter's right hand is 1.5 feet above her left, so it is 10 + 1.5 = 11.5 from the bottom of the pole.
The coordinates of a point are (4, –1). which matrix expression represents translating the point 3 units to the left and 7 units up?
Answers
| 4 |
| |
|-1 |
Please, understand that the three vertical | represent a continuous line, which is the matrix representation.
The traslataion of 3 units to the left and 7 units up means that you have to add the matrix:
|- 3|
| |
|7 |
So the representation is:
|4 | |-3 | |1 |
| | + | | = | |
|-1 | |7 | |6 |
Which sample fairly represents the population? CHECK ALL THAT APPLY.
--measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school
--calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
--observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
--sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town
--taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch
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Answer:
The population is defined by: The set of all possible individuals who are likely to be selected for a study and who also share some observable characteristic. In this way, the correct answer is:
Taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch
Step-by-step explanation: