Liu is making a rabbit pen. The graph shows where he plans to place it in his backyard. Each unit on the graph represents 1 foot.
1. What is the distance between points R and U? Explain how you found this distance.
2. Find the other three side lengths.
The length of the side between U and T is _______ feet.
The length of the side between T and S is _______ feet.
The length of the side between S and R is _______ feet.
3. The perimeter is the sum of the side lengths. What is the perimeter of the pen?
4. Does Liu have enough fence to make the pen? Why or why not?
Answers
Answer:
1. The distance between the points R and U is 4 feet
2. The length of the side between U and T is 3 feet
The length of the side between T and S is 4 feet
The length of the side between S and R is 3 feet
3.The perimeter of the pen is 14 feet
4. Yes
Liu has enough fence to make the Pen because he has more fence than the perimeter of the pen
Step-by-step explanation:
The 'x', and 'y' (x, y) coordinates of the points are;
R(5, 7), U(5, 3), S(8, 7), T(8, 3)
1. From the graph, the distance between the points R and U is given by the change in the values of the y-coordinate, given in feet, since the x-coordinate values are the same
Therefore, the distance between the points R and U = 7 ft. - 3 ft. = 4 ft.
2. Similarly, the length of the side between U and T is given by the change in the values of the x-coordinate, given in feet, since the y-coordinate values of U ant T are the same, as follows;
The length of the side between U and T = 8 ft. - 5 ft. = 3 ft.
Similarly the length of the side between T and S which have the same x-coordinate values is given as follows
The length of the side between T and S = 7 ft. - 3 ft. = 4 ft.
The length of the side between S and R which have the same y-coordinate values is given as follows;
The length of the side between S and R = 8ft. - 5ft. = 3ft.
3. The perimeter of the pen = Length R and U + Length U and T + Length T and S + Length S and R
∴ The perimeter of the pen = 4 ft. + 3 ft. + 4 ft. + 3 ft. = 14 ft.
4. The length of fencing Liu has = 16 feet (from internet source)
Therefore, the length of fence Liu has, 16 ft.is more than the length that make up the perimeter of the pen, 14 ft.
Therefore Liu has enough fence to make the Pen because the length of fence he has is more than the perimeter of the pen.
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Is Figure B a scale copy of Figure A?
2.8
2.8
4
Figure A
10
10
16
Figure B
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Answer:
no
Step-by-step explanation:
which inequality represents all values for x for which the quotient below is defined? square root of 8x squared divided by the square root of 2x
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What is the postulate?
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Step-by-step explanation:
Blank #1 STQ
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2x + 8 = 14 solve the equation you may find using algebra tiles to be helpful
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Answer:
x = 3
Step-by-step explanation:
2x + 8 = 14
2x = 6
x = 3
Answer:
3
Step-by-step explanation:
subtract 8 from both sides
then divide 2 from both sides to get x = 3
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Answer:
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Step-by-step explanation:
(86°F − 32) × 5/9 = 30°C
There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?
A. 21 and 14
B. 14 and 21
C. 20 and 15
D. 15 and 20
Answers
Answer:
A. 21 (boys) and 14 (girls)
Step-by-step explanation:
2+3=5
35÷5= 7
7×3=21 boys
7×2=14 girls
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
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Answer:
I thinks it's the third one
SOMEONE HELP PLS i mark the brainliest
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Answer:
Step-by-step explanation:
UWV is a 30°-60°-90° triangle.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2
The length of the side opposite the 90° angle is 10,
so the length of the side opposite the 30° angle is 5
and the length of the side opposite the 60° angle is 5√3
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Answers
Rectangle Area = lw = 24(6.5)= 156
Just add them up to get 288cm squared :)
am not sure what am doing
Answers
Answer:
Step-by-step explanation:
They are showing you how to factor 12-9i+8i-6i².
Find the greatest common factor in each row and each column.
Blue: GCF of 12 and -9i = 3
Orange: GCF of 8i and -6i² = 2i
Red: GCF of 12 an 8i = 4
Green: GCF of -9i and -6i² = 3i, but both terms are negative, so use -3i
Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?
Answers
Answer:
66$
Step-by-step explanation:
50$-11$+27$
66$
Answer:
$66
Step-by-step explanation:
$50- $11= $39
$39+ $27= $66
Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?
Answers
Answer:the answer is 6,012 after 7 years
Step-by-step explanation:
i just took the quiz
a new smart phone application is available for download the number y of downloads can be modeled by the function y-6.3x^2+3000
Answers
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
3000
)
Focus:
(
0
,
−
2999.9
¯¯¯¯¯¯¯¯¯¯¯¯
603174
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3000.0
¯¯¯¯¯¯¯¯¯¯¯¯
396825
x
y
−
2
−
2974.8
−
1
−
2993.7
0
−
3000
1
−
2993.7
2
−
2974.8
Step-by-step explanation:
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Answers
Answer:
the second one
Step-by-step explanation:
Answer:
Hope that answers your question
9. A 16-ft ladder is leaning against the side of a house. The ladder touches the ground 9 ft away from the house. What angle does the ladder make with the ground?
Round to the nearest WHOLE number.
Note: this is a trigonometry question
Answers
Answer:
Check pdf
Step-by-step explanation:
55.77°
EXPLANATION:In ◣ ABC, (consider the diagram)
cosΦ = b/h = 9/16
cosΦ = 9/16
Φ = 9/16 × cos-¹
Φ = 55.77
Hence, the angle between the ladder and ground is approximately 56°.
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours, does Jackson spend painting each picture?
Answers
2 1/4 = 60 * 2 = 120 + 15 = 135/2= 67.5 = 1 hour and 7 1/2 minutes
Write an equation that represents the line. (Use exact numbers)
Answers
Slope=rise/run. 3\4
Y-intercept = 2
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{3}{4} x+2[/tex]
Step-by-step explanation:
When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.
1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:
[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]
Thus, the slope is [tex]\frac{3}{4}[/tex].
2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.
3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex] and the [tex]b[/tex] to write the equation of the line.
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:
[tex]y = \frac{3}{4} x+2[/tex]
chords with inscribed angles
Answers
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°
For each diagram, decide if y is an increase or a decrease of x. Then determine the
percentage.
A
у
B
у
Answers
Answer:
A: Decrease, y is 80% of x
B: Increase, y is 160%of x
Step-by-step explanation:
It sounds like it wants to know what percent Y is of X, so if y was 50% of x, that would mean y was half as much of x. so if x was 10 and y was 5
A: x is 5 and y is 4 since y is less it is a decrease. to find the percent do 100*y/x, so in this case that's 100*4/5 =80, so y is 80% of x. and it makes sense it is less than 100% since x is less than y
B: x=5 and y=8 y is greater than x so it is an increase and will be more than 100%. 100*8/5 = 160 so y is 160% of x
Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.
Answers
Answer:
The height of the tree is approximately 71.5 feet
Step-by-step explanation:
The given parameters are;
The angle of elevation to see the top pf the tree = 50°
The distance Peggy is laying from the base of the tree = 50 ft.
In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground
Therefore, the line of sight to the top of the tree, the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle
Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying
The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;
θ = 180° - 90° - 50° = 40°
θ = 40°
By sine rule we have;
h/sin(50°) = d/(sin θ)
∴ h/sin(50°) = 60 ft./(sin 40°)
h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.
∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth
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x2 + 16x + 63 = 0
lesser x =
greater x =
Answers
Answer: less= -9.41
Greater= -6.59
Step-by-step explanatio. it is
Answer:
Step-by-step explanation:
what is the value of the x- intercept of the following equation? 2x-6y=14
Answers
Answer:
x-3y-7=0
Step-by-step explanation:
2x-6y=14
2x-6y-7=0
x-3y-7=0
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Answers
9514 1404 393
Answer:
$109.97
Step-by-step explanation:
Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...
d = √(3^2 +3^2) = √18 = 3√2 . . . inches
There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...
(12)(4)(3√2) = 144√2 . . . inches
At a cost of $0.54 per inch, the total cost for 12 trivets will be ...
($0.54)(144√2) = $109.97
The cost of the copper wire for making 12 trivets is $109.97.
(Geometry): find x.
Answers
20x + 1 = 720
20x = 719
x = 35.95
Your answer: 35.95
Proof:
(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720
Explain the steps you could use to solve 3y + 6 = 30 to find y
Answers
Answer:
3y+6-6=30-6 (subtract 6 from both sides)
3y=24 (simplfy by subtracting those numbers)
3y/3 = 24/3 (divide both sides of the equation)
y=8 (simplfy by divding with those numbers)
Step-by-step explanation:
Hope this helps :)
Answer:
3y+6-6=30-6
Step-by-step explanation:
Help help help help help help help
Answers
Answer:
35/14
Step-by-step explanation:
Volume = 4 * h * 7 / 2 = 14h
35/14 = h
HELP FOR 20 POINTSSS
x =3 ; y=8.4
x = 3 ; y = 15
x = 6 ; y =7.5
x = 6; y =18
Answers
Answer:
The first one.
Step-by-step explanation:
solving for x:
5/2 = 7.5/x
cross multiply
2 ×7.5 =5x
x= 2×7.5/5
x= 3
solving for y:
values of the small triangle over the bigger triangle-
5/6 =7/y
cross multiply and solve for y
y= 8.4
therefore (x= 3; y= 8.4)
YOU ARE VERY WELCOME!
In a new movie
theatre, seats will
be installed in the
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How many square
feet are available
for seats?
Answers
Answer. 655.4
Step-by-step explanation:
what did u get?
Apply the Distributive Property to Simplify the Expression
9 (4 1/3)
Answers
Answer= 39
What is the total surface area??? Please help
Answers
Answer:
216
Step-by-step explanation:
8(6) + (10+6+8)(7)
48 + 24x7
48 + 168
216