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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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
expand and simplfy (x+3)(x-3)(3x+2)
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Answer:
[tex] {3x}^{3} + {2x}^{2} - 27x - 18[/tex]
Step-by-step explanation:
1) Use difference of squares: a² - b² = (a + b) (a - b).
[tex]( {x}^{2} - {3}^{2} )(3x + 2)[/tex]
2) Simplify 3² to 9.
[tex]( {x}^{2} - 9)(3x + 2)[/tex]
3) Use The FOIL method: (a + b) (c + d) = ac + ad + bc + bd.
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Therefor, the answer is 3x³ + 2x² + -26x -18.
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What was the computer's initial price?
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Step-by-step explanation:
Solve the trigonometric equation for all values: -7 < or equal to x < 7 Question: Cot 1/2x-1=0
Answers
Answer:
x =90
Step-by-step explanation:
Cot 1/2x-1=0
Add 1 to both sides
Cot 1/2x = 0+1
Cot 1/2x = 1
1/tan1/2x = 1
Tan 1/2x = 1
1/2x = arctan1
1/2x =45
x = 45×2
x = 90
Hence the value of x is 90
Which expression represents the algebraic phrase "eleven less than seven times a number"? 11x - 7 7 x minus 11 11 + 7x 11 minus 7 x
Answers
Answer:
7x minus 11
Step-by-step explanation:
7x would be 7 times whatever x is. then you subtract 11 from 7x. the reason you’re subracting 11 from 7x is because 11 has to be less than 7x (i understand negatives, but we’re not using that in this problem.)
Answer: (B) 7x minus 11
Step-by-step explanation: Just to make sure it was correct!
Have a good day :D
The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.
Select from the drop-down menu to correctly complete the statement.
The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.
Correct answers:
1
45 oz less than
Answers
Answer:
I don't get it
Step-by-step explanation:
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
Total area of new carpeting installed: 368
Step-by-step explanation:
What I did is too complicated to write down, so I'll just show you the math:
(12 * 8) * 2 (The area of the bedrooms)
11 * 16 (The area of the livingroom)
5x + 5(x - 18) = 0 x = ?
Answers
Answer: 9
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A. 3
B. 4
C. 9
D. 5
Answers
Answer:
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Step-by-step explanation:
Brain Brain Brain Brain Brain Brain
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Answers
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Answer:
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Mrs. Collins is going to plant her garden. She purchases 4 tomato plants for $2.59 each, a package of watermelon seeds for $1.87, and a jalapeno plant for $3.88. How much will Mrs. Collins spend on seeds and plants for her new garden?
Answers
Answer:
5.65
Step-by-step explanation:
SOMWRGING AROUND THAT
A. 8.06
B. 8.1
C. 8
D. 65
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Answer:
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Step-by-step explanation:
i need this
ctugkvhjkibnlbk;vhiglcufxoryifcuglvihk;b j;hviglucforxiy6eryfcuglvhk
Answers
Answer:
11(7 + 4) = 11 × 7 + 11 × 4
Step-by-step explanation:
11(7 + 4) = _ x 7 + 11 x _
use distributive property:
11(7 + 4) = 7 x 11 + 7 x 11
Answer:
11 * 7 + 11 * 4
Step-by-step explanation:
given 11(7+4)
we need to use distributive property
To do so we multiply 11 by whats inside of the parenthesis
so 11(7+4) is equivalent to 11 * 7 + 11 * 4
Which statement is true?
The function is decreasing, and the maximum of the function is located at
(
0
,
5
)
.
The function is decreasing, and the maximum of the function is located at ( 0 , 5 ) .
The function is decreasing, and the minimum of the function is located at
(
0
,
5
)
.
The function is decreasing, and the minimum of the function is located at ( 0 , 5 ) .
The function is increasing, and the maximum of the function is located at
(
0
,
5
)
.
The function is increasing, and the maximum of the function is located at ( 0 , 5 ) .
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(
0
,
5
)
.
Answers
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Answers
Answer:
1
Combine multiplied terms into a single fraction
6−8=12(4+5)
6−8=1(4+5)2
2
Multiply by 1
6−8=1(4+5)2
6−8=4+52
3
Add
8
888
to both sides of the equation
6−8=4+52
6−8+8=4+52+8
10 more steps
Solution
=21/8
Step-by-step explanation:
6x= 2x+5/2+8
6x-2x=5/2+8
12x-4x=5+16
8x = 21
X= 21/8
A survey of 1250 trees in a small wood showed that 32 percent were oak trees 26 percent were birch trees and the remainder were pine trees how many pine trees were there
Answers
Answer: There were 525 pine trees.
Step-by-step explanation:
Given: Total trees = 1250
Percentage of oak trees = 32%
Percentage of birch trees = 26%
Since remaining trees are pine trees.
Percentage of pine trees = 100% - 32% - 26%
=42%
The number of pine trees = 42% of 1250
= 0.42 ×1250
= 525
Hence, there were 525 pine trees.
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Answers
Answer:
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Step-by-step explanation:
:)
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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Answers
28.1 feet
explaination
\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}
cosU=
hypotenuse
adjacent
=
x
9.6
\cos 70=\frac{9.6}{x}
cos70=
x
9.6
x\cos 70=9.6
xcos70=9.6
Cross multiply.
\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}
cos70
xcos70
=
cos70
9.6
Divide each side by cos 70.
x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}
x=
cos70
9.6
=28.0685≈28.1 feet
Type into calculator and roundto the nearest tenth of a foot.
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Answers
Answer:
Yes,
rounding to the nearest hundrenth would be 16.19
rounding to the nearest tenth would be 16.2
and rounding to the nearest ones place would get you 16
Step-by-step explanation:
A farmer has a field in the shape of a semicircle of diameter 50 m. First,
calculate the length of the semicircle to 1 decimal place.
50 m
Answers
Answer:
157.1 m
Step-by-step explanation:
Here, we want to calculate the length of the semi-circle
This simply refers to the circumference of the semi-circle
Mathematically, the circumference is half that of a full circle
The circumference of a full circle is;
C = pi * d
For half circle or semi-circle;
It is ;
C = (pi * d)/2
D = 50 m
The circumference is thus;
C = 50 * 3.142
C = 157.1 m
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Answers
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Step-by-step explanation:
The two polygons are similar. Find the values of x and y.
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Answer:
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Brody is saving money at the average rate of $275 per week. After 8 weeks he has $3,550 left. How much money did Brody begin with? How long will it take Brody to have $10,7007
Answers
Answer:
He started off with $1,275. Brody needs to work another 8 weeks to make that much money.
Step-by-step explanation:
While sorting some change into piggy banks, Gabby put 58 coins in the first piggy bank, 78 coins in the second piggy bank, 98 coins in the third piggy bank, and 118 coins in the fourth piggy bank. What kind of sequence is this?
arithmetic or geometric
Answers
Answer: Arithmetic (increasing by constant rate of 20)
Step-by-step explanation:
Arithmetic means the difference between two consecutive terms is constant which it is in this case because it constantly increases by a value of 20.
Geometric means the sequence is changing by a constant ratio or factor
The point of equidistant from the vertices of a triangle is its?
Answers
Answer:
The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle.
Light A flashes every 8 seconds.
Light B flashes every 20 seconds.
Both lights flash at the same time.
Work out how long it will take for both lights to flash at the same time
again.
Answers
Answer:
40 seconds
Step-by-step explanation:
8 20
16 40
32
40
40 seconds
It will take 40seconds to both the lights to flash at the same time again.
What is Least common multiple?" Least common multiple is defined as the smallest common multiple of the given set of numbers."
According to the question,
Given ,
Time to flash Light A is every 8 seconds.
Time to flash Light B is every 20 seconds.
Condition given
Both the lights flash at the same time
Least common multiple (8, 20) = 40seconds
Light A flashes in
8seconds , 16seconds , 24seconds , 32seconds, 40seconds
Light B flashes in
20seconds , 40seconds
Hence, both the light flashes at the same time again is at 40seconds.
Learn more about least common multiple here
https://brainly.com/question/11533141
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