Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.
Answers
Answer:
The possible locations are;
(3, 4), (3, 12), (7, 4), and (7, 12)
Please find attached the plot of the points created with Microsoft Excel
Step-by-step explanation:
The given parameters of the plot of Oliver's backyard are;
The area of the right triangular plant bed Oliver wants to design, A = 8 yd²
The length of a/each unit of the plot = 1 yard
The location of one of the vertex of the right triangular area = (3, 8)
The location of the other vertex of the right triangular area = (7, 8)
We note that the area of a triangle, A = 1/2 × Base length, B × Height, h
Let the distance between the two plotted point represent the base length, 'B', therefore;
B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;
Therefore, the base length, B = 4 yards
A = 1/2 × B × h
∴ A = 8 yd.² = 1/2 × 4 yd. × h
h = 8 yd.²/ 2 yd. = 4 yd.
The height of the right triangle, h = 4 yd.
Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;
(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).
Answer:
3,4 7,4
Step-by-step explanation:
Related Questions
1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet
Answers
Answer:
Slant height = 8 feet.
Step-by-step explanation:
If the perimeter of the square base = 12 then each side of the base = 12/4
= 3 feet and its area = 3*3 = 9 ft^2
The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.
So total surface area = 57 = 9 + 4 * 1.5h
9 + 6h = 57
6h = 48
h = 8 feet.
does anyone know how to do any of these types of problems?
Answers
9514 1404 393
Answer:
150°
Step-by-step explanation:
The rule here is that the external angle is half the difference of the arcs subtended. That relation is used to form an equation, which can then be solved for whatever measure is of interest.
(RB -EC)/2 = D
((13x +7) -(60))/2 = (5x -10)
13x -53 = 10x -20 . . . . . . . . . . multiply by 2
3x = 33 . . . . . . . . . . . . . . add 53-10x to both sides
x = 11 . . . . . . . . . . . . divide by 3
RB = 13x +7 = 13·11 +7 = 150
The measure of arc RB is 150°.
You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for π.
Answers
Answer:
415.48
Step-by-step explanation:
is the area
Fill in the blank with a number to make the expression a perfect square x^2+ 4x + ?
Answers
Explаnаtion is in а file
xlnk․cf/tcMG
Answer:
x^2+4x+4 would make it a perfect square.
Step-by-step explanation:
phoenix is a businessman who travels frequently he uses atms in many cities and does not write many checks he also uses direct deposit and has a savings account. Phoenix's bank is one of the four financial institutions described below which is most likely Phoenix's bank
Answers
Answer:
Bank 3
Step-by-step explanation:
No additional charges for automatic deposit and includes saving account.
If 9/10 is multiplied by 8/9 , will the product be greater than either of the two factors?
Answers
Answer:
No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.
Answer:
No
Step-by-step explanation:
It will not be because when a number is numtiplied by one, it stays the same. However, both of these are numbers less than 1, so the product will be smaller
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answers
Answer:
5/12
Step-by-step explanation:
Think SohCahToa
Soh- Sin: opposite/hypotenuse
Cah- CoSin: adjacent/hypotenuse
Toa- Tan: opposite/adjacent
Opposite: The length on the opposite side of the angle.
Adjacent: The length next to the angle.
Hypotenuse: The longest side of the angle.
helppppppppppppppppppppppppppppppp
Answers
Answer:
that link is a scam do not click on it
Step-by-step explanation:
there are people going around typing this link it guves your phone a virus
Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)
Answers
Answer:
[tex]gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} [/tex]
Giving brainlist to whoever answers
Answers
Answer:
15.6 cm3 is the answer for the question
who ever answer this get a brainliest and a thank you i need it answered asap
Answers
Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
a^2 + (3√3)^2 = (6√3)^2
If we solve the equation we have
a^2 + 27 = 108
a^2 = 81
a = +/-9
we take only the the positive value because a length can’t be negative
a = 9
Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which angles represent alternate interior angles
Answers
Answer:
Angles B and D
Step-by-step explanation:
Since Lines D E and Line A B are parallel hence
The angles that will represent alternate interior angles will be
Angles B and D
This is because when two parallel lines are cut through by a transversal, the corresponding angles are congruent .
Answer:
B
Step-by-step explanation:
When calculating for volume, you use the area of the 2D shape.
True or false.
Answers
Answer:
I think true.
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
false false false false false
Courtney save $6.18 each week. How much
will Courtney have saved after 14 weeks?
Answers
6.18•14=86.52
I hope this helps and have a great day (Also brainliest would be appreciated but you don’t have to) :)
PLEASE HELP LAST ONE
Answers
Answer:
please the answer is C which is; x is about 4•0 and y is about 14•6
help pleaseeee i dont get this also show work
Answers
Answer:
AC = 2
BC = [tex]2\sqrt{2}[/tex]
CD = 4
CF = 4
BD = [tex]2\sqrt{2}[/tex]
DE = 8
EF = [tex]4\sqrt{2}[/tex]
DF = [tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Since all of these are isosceles triangles, it means both legs of every triangle are congruent to each other. So,
Given: AB = 2
Find:
AC = AB = 2
BC = [tex]2\sqrt{2}[/tex]
CD = 4
CF = CD = 4
BD = BC = [tex]2\sqrt{2}[/tex]
DE = 8
EF = [tex]4\sqrt{2}[/tex]
DF = EF = [tex]4\sqrt{2}[/tex]
What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?
Please no links:)
Answers
Answer:
x = -1
Step-by-step explanation:
Slope = (6-3)/(-1- (-1)
= 3 / 0
- so the line is vertical.
- and as it passes through x axis at x = -1, the answer is x = -1.
SECTION C
11. UNE PISCINE
L'opération consistant à vider une piscine débute à 8 h du matin. À 10 h du matin, la
piscine contient 80 000 litres d'eau et à midi elle contient 64 000 litres.
Si la piscine se vide à un débit constant, à quelle heure la piscine sera-t-elle vide?
Answers
If side 1 is 13, side 2 is 12, and side 3 is 18, can a triangle be made?
Answers
Answer:
no
Step-by-step explanation:
What percent of 80 is 32? Enter your answer in the box.
Answers
Answer: 40
Step-by-step explanation:
80 = 100%
40 = 50%
8 = 5%
5% x 4 = 20
8 x 4 = 32
32 = 20%
Find the volume of a baseball if the diameter is 2.86 inches
Answers
Answer:
8.1796
Step-by-step explanation:
2.86 x 2.86 = 8.1796
Can someone help me?
Answers
h = -16++64t + 960
A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t
seconds is given by the function above,
When did the ball hit the ground?
Answers
Two Answer: h=64t+944 and look at the picture for the other answer and can I have Brainliest please I really need it.
Step-by-step explanation: Hope this help :D
What does it mean to isolate the variable?
А: Evaluate the coefficient.
B: Reverse the inequality sign.
С: Get zero by itself on one side of the inequality sign.
D: Get the variable by itself on one side of the inequality sign.
Answers
Answer: D
Step-by-step explanation: get the variable by itself on one side of the inequality sign.
Get the variable by itself on one side of the inequality sign. Option D
How to determine the meaningIsolating a variable in an equation or inequality refers to changing it so that it is on its own on one side of the equation or inequality sign.
In order to remove any additional terms or factors that are affecting the variable, this entails applying different operations to both sides of the equation or inequality, such as addition, subtraction, multiplication, or division.
The objective is to make the inequality or equation simpler so that the variable can be solved more easily.
Learn more about variables at: https://brainly.com/question/28248724
#SPJ6
The complete question:
What does it mean to isolate the variable?
А: Evaluate the coefficient.
B: Reverse the inequality sign.
С: Get zero by itself on one side of the inequality sign.
D: Get the variable by itself on one side of the inequality sign.
Ben enters the water during a scuba dive. After 41 seconds of diving, his depth changes by - 29 feet. He wants to know his average change in depth each second. Write an expression for the average change in depth each second.
Answers
Answer:
-0.7073ft/sec
Step-by-step explanation:
Given the following
Distance covered by Ben = -29feet
Time taken = 41secs
Required
average change in depth each second(speed)
average change in depth each second = Distance/Time
average change in depth each second = -29/41
average change in depth each second = -0.7073ft/sec
Answer:
The answer is -29 divided by 41
How to Write a Conclusion for a Biography
Answers
Answer: The conclusion of biography should remind the reader of the subject's achievements or actions. Briefly describe their greatest achievements so that the reader can remember why it is important or enlightening to learn about their life.
Step-by-step explanation:
Brainless please
Venus and Arian went berry picking. Venus picked 3 1/3 buckets of berries and Arian picked up 5 4/5 buckets. How many buckets of berries do they have altogether? If they need 11 full buckets, how many more buckets of berries do they need?
Answers
Answer: 9.13333333333
3 1/3+ 5 4/5=
Answer#2 1.86666666667
What would this answer be if i solved for x?
SOLVE FOR X
x + 67
x + 127
Answers
Answer:
X+67=0
X=-67
X+127=0
X=-127
Step-by-step explanation:
Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)
Answers
PLZ HELPLPLPLPLP!!!!
Answers
Answer:
c) 50
Step-by-step explanation:
√36 + 2 * 5^2 - 6
√36 = 6, 5^2 = 25
6 + 2 * 25 - 6 = 25 2 * 25 = 50, 6 + 50 - 6, 50