Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.
13 feet - hypotenuse
5 feet - can be a or b
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = √144
b = 12
The top of the ladder reaches 12 feet up the tree.
Hope that helps.
Answer:
12 ft
Step-by-step explanation:
These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft. The vertical side (height above ground to top of ladder) is to be found. According to the Pythagorean Theorem,
5^2 + (vertical side)^2 = 13 ft = 169, and so
(vertical side) = sqrt( 169 - 25 ) = 144 (ft)
The top of the ladder is s 12 ft above the ground.
It takes Mark 3 minutes to make 1 1/2 inches of a bracelet. If he works at the same speed, how many minutes will it take him to make a 12-inch bracelet
Answer:
24 minutes
Step-by-step explanation:
Working at the same speed, the ratio of time to length is the same:
time/length = t/12 = 3/(1.5)
t = 12(3/1.5) = 12(2) = 24
It will take Mark 24 minutes to make a 12-inch bracelet.
PLSSS HELP What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ... an = -2n + 3 an = -2n + 7 an = 5n + 3 an = 5n - 7
Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
an = -2n +3
-2(1) +3 = 1 . . . . not -2
an = -2n +7
-2(1) +7 = 5 . . . . not -2
an = 5n +3
5(1) +3 = 8 . . . . not -2
an = 5n -7
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?
Answer:
69 years
Step-by-step explanation:
Data provided in the question
Born date of an Ancient Greek = April 1st 35 BC
Diet date of an Ancient Greek = Aril 1st 35 AD
Based on the above information
We can say that
35 + 35 = 70
We deduct 1 as there is no zero
So, it would be
= 70 - 1 year
= 69 years
Hence, An ancient greek lives 69 years and the same is to be considered
2. Find the value of [tex]5\sqrt[3]{1728} + 100 \sqrt[4]{81} - (6\sqrt{10} )x^{2}[/tex]
(a) 1 (b) 0 (c) 8 (d) 10
Answer:
(b) 0
Step-by-step explanation:
Assuming a typo in the last term:
5 (1728)^(1/3) + 100(81)^(1/4) - ( 6(10)^(1/2) )^2
=5(12) + 100(3) -36(10)
=60+300-360
=0
Answer:
[tex]\boxed{\sf (b) \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 5\sqrt[3]{1728} +100\sqrt[4]{81} -(6\sqrt{10} )^2[/tex]
[tex]\sf Evaluate.[/tex]
[tex]\sf 5(12)+100(3) -((6)^2 (\sqrt{10})^2)[/tex]
[tex]\sf 60+300 -(36(10))[/tex]
[tex]\sf 360-360[/tex]
[tex]\sf 0[/tex]
λ represents the average rate, and the expected number of events in a given time frame for the ____________ distribution.
A. Poisson
B. normal
C. binomial
D. geometric
Answer:
The correct answer is:
Poisson (A.)
Step-by-step explanation:
A Poisson distribution is used to model the number of events occurring within a given time interval, when the average number of times that the event occurs within the time interval is given.
Lambda ( λ ) is a rate parameter in Poisson's distribution, and it is used to represent "event/time", and it simply represents the expected number of events in the interval.
If AD is the altitude to BC, what is the slope of AD?
A. 2/5
B. -5/2
C. 5/2
D. -2/5
Answer:
Option (C)
Step-by-step explanation:
If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
where [tex]m_1[/tex] is the slope of the line AD and [tex]m_2[/tex] is the slope of BC.
[tex]m_2=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{8+2}{3-7}[/tex]
[tex]=-\frac{5}{2}[/tex]
Now from the given property,
[tex]m_1\times (-\frac{2}{5})=-1[/tex]
[tex]m_1=\frac{5}{2}[/tex]
Therefore, slope of altitude BC = [tex]\frac{5}{2}[/tex]
Option (C) will be the answer.
How to do this question
Answer:
1/17
Step-by-step explanation:
You're on the right track so far!
(2³ + 3²) ⁻¹
= (8 + 9) ⁻¹
= (17) ⁻¹
= 1/17 (Remember, (a)⁻ⁿ = 1 / aⁿ)
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
A = 2 B = 3
(a^b + b^a)^-1
(2^3 + 3^2)^-1
1/7 or 0.058824
Hope this helped!! ٩(◕‿◕｡)۶
Divide. 1 ÷ 0.0064. please my dear friend
Answer:
156.25
Step-by-step explanation:
[tex]\frac{1}{0.0064}\\\\\frac{10000}{64}\\ then divide \[/tex]
[tex]\frac{10000}{64} = \frac{2500}{16} =\frac{625}{4} = 156.25[/tex]
A group of students were given a spelling test the table shows their mark Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) work out the range of the marks. B)how many students are in a group C) work out the mean mark of the group
Answer:
Step-by-step explanation:
From the information given,
Mark: 6,7,8,9,10
frequency:5,4,7,10,4
a) Range = highest mark - lowest mark
Range = 10 - 6 = 4
b) The number of students in the group is the sum of the frequency. Therefore,
Number of students = 5 + 4 + 7 + 10 + 4 = 30 students
c) Mean mark = (mark × frequency)/total frequency
[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30
Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30
Mean mark = 8.1
Answer: From the information given, Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) Range = highest mark - lowest markRange = 10 - 6 = 4b) The number of students in the group is the sum of the frequency. Therefore, Number of students = 5 + 4 + 7 + 10 + 4 = 30 studentsc) Mean mark = (mark × frequency)/total frequency[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30Mean mark = 8.1
Step-by-step explanation:
What the answer now and answer fast correct answer
Answer:
Using the given information in the problem, the value of f is 9
Step-by-step explanation:
In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.
Let's set up our equation for tangent.
[tex]Tan(58)=\frac{15}{f}[/tex]
Since we are looking for f , then we will rearrange the equation.
[tex]f=\frac{15}{tan(58)}[/tex]
Now, we will solve for x. You can use a calculator to do these calculations.
[tex]f=9[/tex]
So, the value of f in the triangle is 9.
Answer: f=9
Because quick mafs says so
Express 429 as a product of its prime factors
Answer:
The answer is 429 = 3×11×13.
Step-by-step explanation:
You have to divide by prime number :
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Answer:
3×11×13
Step-by-step explanation:
Start dividing by prime numbers. Since the number is even two won't work so next is three. If you divide 429 by 3 you get 143. You continue doing this with primes going up (5, 7, 11, 13, etc.) until you get to the final prime. 5 and 7 don't work if you try dividing them by 143 individually so next up is 11. If you divide 11 by 143 you get 13 which is also a prime number. Therefore, 3×11×13 is a product of prime factors.how to do this question plz answer
Answer:
4 cm
Step-by-step explanation:
The milk fills 12 cm of the 15 cm height, so fills 12/15 = 4/5 of the volume of the container.
When the container is laid flat so that the 5 cm direction is the height, the milk still fills 4/5 of the height. The dept of the milk in that configuration is ...
(4/5)(5 cm) = 4 cm
Answer:
Depth = 4cm
Step-by-step explanation:
Well if the milk is turned to its orange side then 4cm will be depth because that's the new height.
Thus,
the new depth is 4cm.
Hope this helps :)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
(4,0)
Step-by-step explanation:
The zeros of the quadratic functions are where it crosses the x axis
It crosses at x=-2 and x=4
( -2,0) and (4,0)
Answer:
[tex]\boxed{(4,0)}[/tex]
Step-by-step explanation:
A zero of a quadratic function is where the parabola touches a point on the x-axis.
The parabola touches two points on the x-axis:
(4, 0) and (-2, 0)
A zero of the quadratic function is (4, 0).
Is the following relation a function?
Answer:
No, Given relation is not a function.Explanation:
We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.
From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.
Hence, Given relation is not a function.
Hope this helps...
Good luck on your assignment...
Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?
Answer:
I hope it will surely help uh.....
Answer:
sqrt of 7
Step-by-step explanation:
here are some facts about units of length 18 ft=____yd and 3 ft= ___in
Answer:
18 ft = 6 yds
3 ft = 36 inches
Step-by-step explanation:
We know that 3 ft = 1 yd
Divide 18 ft by 3
18 ft /3 ft = 6 yds
We know that 1 ft = 12 inches
3 ft * 12 inches /ft = 36 inches
Answer:
[tex]\large \boxed{18 feet = 6 yards}[/tex]
[tex]\large \boxed{3 feet = 36 inches}[/tex]
Step-by-step explanation:
1 foot = 1/3 of a yard
Multiply both sides of this equation by 18
[tex]\large \boxed{18 feet = 6 yards}[/tex]
1 foot = 12 inches
Multiply both sides of the equation by 3
[tex]\large \boxed{3 feet = 36 inches}[/tex]
Hope this helps!
Given a graph of a system that has exactly one solution, how would you estimate the solution to the tenths place? Explain the process.
Answer:
First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.
Step-by-step explanation: Sample Response on Edge
The estimation of the solution to the tenths place is given below.
What is rounding off?
Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Given that;
A graph of a system that has exactly one solution.
Now,
Let a solution of the graph of a system = (2.37, 1)
So, We can estimate the solution of the system to tenth place as;
⇒ 2.37 = 2.4 (round to tenth place)
Thus, The solution of the system to the tenths place will be;
⇒ (2.3 , 1)
Learn more about the rounding number visit:
https://brainly.com/question/1620496
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Does the relation define a function? If it does, state the domain of the function.
Does the relation define a function? If it does, state the domain of the function
Answer: Choice A
Yes; Domain = {m, n, p, q}
We have the inputs (think of them as the x values) as m, n, p and q. They make up the domain. The domain is the set of all allowed inputs. We do not have any repeated inputs, which is why we have a function. Any given input leads to exactly one output.
In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between groups in this study
Answer:
20
Step-by-step explanation:
Given that:
The study group n = 4
number of participants = 10
the sum of squares for the between-groups source of variation is 60
The objective is to determine the mean square between groups in this study
The mean square between groups in this study compares the means of the group with the sum of squares for the between-groups source (i.e the grand mean)
For this analysis;
the degree of freedom = n-1
the degree of freedom = 4 - 1
the degree of freedom = 3
Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]
the mean square between groups = 20
40 = 90^2/16 sinx cosx find x
Answer:
x = 4.545Step-by-step explanation:
Given the expression
[tex]40=\frac{90^2}{16} sinxcosx\\\\Cross\ multiplying;\\\\16*40 = 90^2 sinxcosx\\\\640 = 90^2 sinxcosx\\\\\frac{640}{8100} = sinxcosx\\ from\ trig\ identity, sin2x = 2sinxcosx\\sinxcosx = sin2x/2\\[/tex]
[tex]Hence, \ \frac{640}{8100} = \frac{sin2x}{2} \\\\\frac{2*640}{8100} = sin2x\\ \\\frac{1280}{8100}=sin2x\\ \\0.158 = sin2x\\\\2x = sin^{-1} 0.158\\\\2x = 9.09\\x = 9.09/2\\x =4.545[/tex]
How does the graph of g(x) = (x + 4)^3-6 compare to the parent function f(x)=x^3 Choices:
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
can anyone help me with this ?
Answer: x=35
Step-by-step explanation:
There are 720 degrees total in a hexagon. So, all of the angles should add up to that. Write out the equation
720= (4x-5)+(117)+(3x-3)+(3x+6)+(118)+(4x-3)
720=14x+230
490=14x
x=35
hope this helped you:)
What are transformation possible to change f(x) to g(x) on graph linear equation
Answer:
Vertical stretch or compression and vertical shift.Step-by-step explanation:
When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.
Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.
Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.
The image attached shows examples of this.
The lines graphed below are perpendicular. The slop of the red line is -1/3. What is the slope of the green line
Answer:
Option C. 3
Step-by-step explanation:
Let M1 be the slope of the red line
Let M2 be the slope of the green line
From the question:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
The slopes of perpendicular lines are related as follow:
M1 = –1 / M2
With the above formula, the slope of the green line (M2) can be obtained as illustrated below:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
M1 = –1 / M2
– 1/3 = –1 / M2
Cross multiply
– 1 × M2 = – 1 × 3
– 1 × M2 = – 3
Divide both side by –1
M2 = – 3/ –1
M2= 3
Therefore, the slope of the green line is 3.
Solve this problem n-6/-4=6
Answer:
N= 9/2
Step-by-step explanation:
Answer:
n = - 18Step-by-step explanation:
[tex] \frac{n - 6}{ - 4} = 6[/tex]
Cross multiply
We have
n - 6 = - 4 × 6
n - 6 = - 24
n = - 24 + 6
n = - 18Hope this helps you
Last trigonometry question... plzzz heelllppp...thx
Answer:
8.86 ( 3 S.F)
Step-by-step explanation:
Using Sine Rule,
AB/ Sin (41) = 13.5/ Sin (90)
AB = 8.856796891
= 8.86 cm (3 s.f.)
HELLLLLLPPPPPP MEEEE PLEASEEEEE!!!!!! Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the interval . Solve algebraically, and show your work and final answer in the response box. Hint: Use the amplitude to determine what y(t) must be when the weight is halfway to its maximum negative position. Graph the equation and explain how it confirms your solution(s).
Answer:
0.20, 0.36 seconds
Step-by-step explanation:
We have already seen that the equation for y(t) can be written as ...
y(t) = √29·sin(4πt +arctan(5/2))
The sine function will have a value of -1/2 for the angles 7π/6 and 11π/6. Then the weight will be halfway from its equilibrium position to the maximum negative position when ...
4πt +arctan(5/2) = 7π/6 or 11π/6
t = (7π/6 -arctan(5/2))/(4π) ≈ 0.196946 . . . seconds
and
t = (11π/6 -arctan(5/2))/(4π) ≈ 0.363613 . . . seconds
The weight will be halfway from equilibrium to the maximum negative position at approximately 0.20 seconds and 0.36 seconds and every half-second thereafter.
Point A (−3,4) and point C is at (2,−6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5.
Answer:
(-7/9, -4/9)
Step-by-step explanation:
i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL
Hope do will on what you are doing :)
If you want you can give me brainliest, it helps me a lot
have a good day :)
Answer:
I got (1,-4) on my Khan
Step-by-step explanation:
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. If the numbers 32, What's the equation?
Answer:
Step-by-step explanation:
Hello,
let's note a and b the two digits, the number is then a*10+b
and the digits in revers mode give b*10 + a so we can write
(1) a + b = 5
(2) 10a+ b - 9 =10b + a
From(1) I get b = 5-a
I replace in (2)
10a + 5 - a - 9 = 10(5-a) + a = 50 - 10a = a = 50 - 9a
9a - 4 = 50 - 9a
18a = 50 + 4 = 54 so
a = 54/18 = 3
and then from (1) b = 5 - 3 = 2
So the number is 32
The number of people contacted at each level of a phone tree can be represented by f(x) = 3^x where x represents the level.
What is x when f(x) = 27?
A. X = 2; At level 2, 27 people will be contacted.
B. x = 24; At level 24, 27 people will be contacted.
C. x = 3; At level 3, 27 people will be contacted.
D. x = 9; At level 9,27 people will be contacted.
Answer:
3
Step-by-step explanation:
Answer:
c is the correct answer
Step-by-step explanation: