A rescuer is trying to save a cat at the very top of a tree. The height of the tree is 35 feet. A rope is thrown to the top of the tree at a 25° angle from a tether on the ground.
1. Draw a diagram to model the problem.
2. What is the length of the rope needed to meet the tree? Show all work and label the answer. Round to the nearest tenth, if needed.
Answers
[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(25) = \frac{35}{b} [/tex]
[tex](b) \sin(25) = \frac{35}{b}(b)[/tex]
[tex](b) \sin(25) = 35[/tex]
[tex] \frac{(b) \sin(25) }{ \sin(25) } = \frac{35}{ \sin(25) } [/tex]
[tex]b = \frac{35}{ \sin(25) } [/tex]
[tex]b = 82.8[/tex]
the length of the rope needs to be around 82.8
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The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+1/6y=−5
Line 3: y=−6x−7
Line 4: y+3=1/8(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
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Lines 1 and 4 are perpendicular.
Answers
Answer:
All four lines are perpendicular
Step-by-step explanation:
Lines 1 and 2 are parallel
y+8x=−5;x+1/6y=−5
Lines 2 and 3 are parallel
x+1/6y=−5;y=−6x−7
Lines 1 and 4 are perpendicular they intercept
x+1/6y=−5;y+3=1/8(x−1)
All four lines are perpendicular
line 4 is perpendicular to all other lines
If the equation of a line is y = - 5x + 3, which is true?
A) Slope is 3, Y-Intercept is -5
B) Slope is -5 , Y- Intercept is 0
C) Slope is -5, Y-Intercept is 3
D) Slope is 5, Y-Intercept is -3
PLS ANSWER 64 POINTS (64 POINTS AND ILL MARK BRAINIEST) PLS...
Answers
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
So the formula for slope is y = mx + b
Here is what it looks like so far: y = -5x + 3
In that equation, -5 is m (slope)
and 3 is b (y-intercept)
So the answer is C
Question 15
If you have these three lengths 6cm,7cm,6cm can they make a Triangle?
O True
False
Answers
Answer:
the answer is yes
since there is there sides that's what shows in a triangle
Express 7 min.30sec.as a percentage of 1 hour .
Answers
Answer:
well for me
Step-by-step explanation:
7 mins
7×60
=420
plus the 30sec
450 sec
450/3600×100
45000/3600
450/36
12.5
that's how I can help
The required percentage is 12.5% of 1 hour which equals 7 minutes 30 seconds.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To express 7 minutes 30 seconds as a percentage of 1 hour, you first need to convert the time to a common unit, such as seconds.
One hour is equal to 60 minutes, so 7 minutes 30 seconds is equal to 7 × 60 + 30 = 450 seconds.
Next, you need to express the time in terms of the total number of seconds in an hour.
One hour is equal to 60 minutes, and one minute is equal to 60 seconds, so one hour is equal to 60 × 60 = 3600 seconds.
To find the percentage of 1 hour that 7 minutes 30 seconds represents, you would divide the number of seconds by the total number of seconds in an hour, and then multiply the result by 100% to convert it to a percentage.
Using the values above, the calculation would be as follows:
450 seconds / 3600 seconds × 100% = 12.5%
Therefore, 7 minutes 30 seconds is equal to 12.5% of 1 hour.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ5
Which tool could be used to model wave motion during a scientific investigation?
A: beam balance
B: mirror
C: prism
D: slinky spring
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Answer:
D: slinky spring
Step-by-step explanation:
Answer The Question Below:
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Answer:68600m
Step-by-step explanation:98 meters to cm is 9800 then times it by 7 you get 68600
Pls help with both...........
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Answer:
1000
512 is ans ...............
B) 8 X 8 X 8 = 512
1
4. Dale is buying a new stereo for $1,580. If sales tax is 7.2%, how much will
he pay in total? *
A) $1,137.60
B) $113.76
C) $2,717,60
D) $1,693.76
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Answer: 1693.76
Step-by-step explanation:
Jada and Lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is 1/12 Do you agree with either of them? Explain your reasoning.
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Answer: Look up your exact question
Step-by-step explanation: The question you've asked has also been asked by another person on brainly, you could look at their answer. Link: https://brainly.com/question/11191408
Open-ended Problem: Write the equations of the lines described
a. two lines that are parallel
b. two lines that are perpendicular
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Answer:
1. lines that never touch
2. lines that cross each other and make a right angle
Step-by-step explanation:
Given that f ( x ) = 3 x − 2 and g ( x ) = 2 x , evaluate f ( g ( − 1 ) )
Answers
g(x) = 2x
9(-1) = -2
f(x) = 3x-2
f(g(-1)) = f(-2) = 3*(-2) - 2 = -8
Answer:
-8
Step-by-step explanation:
g(-1)= 2 * -1 = -2
So f(g(-1)) will be f(-2)
F(-2) = (3 * -2) - 2
= -6 - 2
= -8
Use a graph to find x and y values that make both
y = x + 3 and y = 2x – 5 true.
YA
6
5 4
NW
-8 7 6 5 4 3 -2 -10
NE
4
6 7 8 x
-2
-3
The x-value is
The y-value is
The solution is
Answers
Step-by-step explanation:
The given equations are :
y = x + 3 .....(1)
y = 2x – 5 ......(2)
The table for equation (1) is :
x = 0, 1, 2, 8
y = 3, 4, 5, 11
The table for equation (2) is :
x = 0, 1 , 2, 8
y = -5, -3, -1, 11
From the graph we can see that,
The x-value is = 8
The y-value = 11
The solution is = (8,11).
The x-value is = 8, the y-value = 11 and the solution is = (8,11)
How to determine the equation solutions?The equations are given as:
y = x + 3
y = 2x - 5
Next, we plot the graph of the equations
From the graph of the equations, we have:
(x,y) = (8, 11)
Hence, the x-value is = 8 and the y-value = 11
So, the solution is = (8,11)
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100x^2-4=0
quick pls with all work
Answers
1. Take out the GCF (in this case, 4)
4(25x^2-1) = 0
2. This can be further factored. Factor the values within the parenthesis
4(5x + 1)(5x -1) = 0
Answer:
solving [tex]100x^2-4=0[/tex] we get [tex]x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]
Step-by-step explanation:
We need to solve [tex]100x^2-4=0[/tex]
We know that [tex]10^2=100 \: and\: 2^2=4[/tex]
Replacing with the squares
[tex]100x^2-4=0\\(10x)^2-(2)^2=0[/tex]
We can use the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
Applying formula
[tex](10x+2)(10x-2)=0\\10x+2=0\:,\:10x-2=0\\10x=-2\:,\:10x=2\\x=-2/10\:,\:x=2/10\\x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]
So, solving [tex]100x^2-4=0[/tex] we get [tex]x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]
If Z is the centroid of triangle TUV, TZ=60, XZ=28, and WZ=25, find each missing measure
Answers
The measure of length ZV, ZY, ZU, TY, and XV are 56, 30, 50, 60, and 78.
If Z is the centroid of triangle TUV, then the following are true:
ZV = 2ZX
Given that ZX = 28,
ZV = 2(28)
ZV = 56
Similarly, TZ = 2ZY
60 = 2ZY
ZY = 60/2
ZY = 30
Also, ZU = 2WZ
ZU = 2(25)
ZU = 50
TY = 2ZY
TY = 2(30)
TY = 60
XV = XZ + ZY
XV = 28 + 50
XV = 78
Therefore the measure of length ZV, ZY, ZU, TY, and XV are 56, 30, 50, 60, and 78.
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Find the angle of XYZ give your answer to 1 decimal place
Answers
Answer:
66.4°
Step-by-step explanation:
To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.
Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:
[tex]\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15} \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o[/tex]
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
90 + ∠Y + 23.6 = 180
113.6 + ∠Y = 180
∠Y = 180 - 113.6
∠Y = 66.4°
∠Y = ∠XYZ = 66.4°
Number of digits in base 5 number system are
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Answer:
5 digits (from 0 to 4)
Step-by-step explanation:
Well the numbers that you can use to make a number are
[tex]0\\\\1\\\\2\\\\3\\\\4[/tex]
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Answer:
C
Step-by-step explanation:
Suppose that Dave's checking account shows a balance of $725,35 at the beginning of the month. During this month, he makes deposits of
$300.00 $472.25, $187.50, and $175,35, and he writes checks for $307.50, $237.60, $125.00, and $327.00. Find the end of the month balance
in his account
Answers
Answer:
the answer should be 932.65
How many leaves are there in the universal set?
How many leaves are in the shaded subset?
How many leaves are in the not-shaded subset?
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8 leaves
6 leaves
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Answer:
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Step-by-step explanation:
Please answer ASAP
If two sides of a triangle have lengths x+1 and x+5, what values would the third side of the triangle have to be?
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Answer:
Whats a you love
Step-by-step explanation:
no entiendo
solve 2x+2y-3 ASAP PLS HLP WILL MARK AS BRAINLIEST
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Answer:
xy9
Step-by-step explanation:
State two postulates or theorems that can be used to conclude that ∆ ≅ ∆. Justify each.
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I NEED HELP ASAP!!!!!
What is the distance (length) of side LM?
Answers
Answer:
Distance, d = √((x2 - x1)² + (y2 - y1)²)
L(x1, y1) => L(-3, -1)
M(x2, y2) => M(2, 3)
Distance LM = √((2 - -3)² + (3 - -1)²)
= √((2 + 3)² + (3 + 1)²)
= √((5)² + (4)²)
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One gallon of paint covers about 450 square feet. How many square feet 1.5 gallons of paint covers?
Answers
675 square feet
Step-by-step explanation:
It is given that 1 gallon of paint covers about 450 square feet.
To calculate how many square feet will 1.5 gallon of paint cover, we have to multiply 450 by 1.5.
1.5 gallons of paint cover = 450 × 1.5 = 675 square feet.
1.5 gallon of paint will cover 675 square feet
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10
Step-by-step explanation:
Rad10 times rad10 equals rad100 which is simplified to 10
Answer:
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Step-by-step explanation:
√10 × √10
= 10
A study about commuting time for workers in a certain city. The distribution is clustered on the left with most of the values less than about 40 minutes commute. There are a fairly large number of values that are much higher, even stretching out to 150 minutes. There is a 15% chance that a random worker has a commute time of greater than 45 minutes. If you were to sketch this distribution, what would it look like, how would you describe it, and how do you represent the 15% probability?
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
Its laborer's journey through time was concentrated mostly on left as well as the amounts are mostly less than 4 min. There are quite a lot of significantly higher levels, even stretching to 150 min. A hypothetical worker is 15% likely to get a time difference longer than 45 min.
They learn from such data that perhaps the distribution of data takes a very long time. Thus the distribution will look like an's progressive. Its probability is positive. Therefore some severe finding beyond the regular standards is included. The mean of findings is also higher than the mean. Its problem would be that 15% of people are more likely to have been traveling more than 45 min in a specific worker. Subsequently, the 85th level of the data is 45 minutes, meaning whether 85% of observations are decreased or equivalent to 45 minutes or 15% more than 45 minutes.PLS HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG