Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standing on the second to past rung of the ladder, Andrew can reach 5 feet above the point where the ladder rests against the wall. How high up the wall can Andrew paint
Andrew can reach a maximum of [tex]24.6ft[/tex] high up the wall.
The right-angled triangle formed can be solved using the [tex]sine[/tex] ratio. that is
[tex]sin(72^\circ})=\dfrac{h}{20}[/tex]
where [tex]h[/tex] is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for [tex]h[/tex], we get
[tex]0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft[/tex]
Since Andrew can reach an extra [tex]5ft[/tex] above the point where the ladder rests against the wall, the maximum height Andrew can paint is
[tex](19.632+5)ft=24.632ft\\\\\approx24.6ft[/tex]
Another solved word problem on trigonometry can be found here: https://brainly.com/question/12146092
Which of the following is not true about the mean of a set of data?
The mean can be less than the minimum data value.
The mean can be the same value as the median.
The mean can be different from all the data values.
The mean can be one of the data values.
Answer:
i think the answer is -> "the mean can be less than the minimum data value."
Step-by-step explanation:
mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.
HELP ME PLEASE..!!!!!! Thank youuuuuu…
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
One whale sang to communicate with another whale. The song's sound wave traveled 2,100meters at a steady speed in 1.4seconds. What was the sound wave's speed?
Answer:
1500 meters / second
Step-by-step explanation:
Speed = the magnitude of distance / time
Distance = 2,100 meters
Time = 1.4 seconds
Speed = 2,100 meters / 1.4 seconds = 1500 meters / second
Who wants to help with a math discussion?
The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
The distance between two points is the number of units between them.
Halfway points (a) and (b)
To locate a point halfway points (a) and (b), we use the following steps
Calculate the absolute difference between both pointsDivide the absolute difference by 2Add the quotient to the smaller point.Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be
[tex]P = a + \frac{|a - b|}{2}[/tex]
Take for instance, a = 5, and b = 10.
The halfway point would be:
[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]
[tex]P = 5 + \frac{5}{2}[/tex]
[tex]P = 5 + 2.5[/tex]
[tex]P = 7.5[/tex]
The halfway point between 5 and 10 is 7.5
The formula works for negative values, and absolute values are used to return the actual difference between both points
Real world circumstance
The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
[tex]P = a + \frac{3|a - b|}{4}[/tex]
Read more about distance at:
https://brainly.com/question/9935574
ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13
Answer:
3x+14x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2
Answer:
It is a fraction -5/9
Step-by-step explanation:
I’ll give you a lot of points for this
Answer:
2. (3,4)
Step-by-step explanation:
2) If it rains 4 inches in 1 hour, how long will it rain in 12 hours?
Please help this is due tomorrow
Answer:
It will rain 48 inches in 12 hours.
Step-by-step explanation:
If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48
PLZ mark brainliest if I helped
The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviation of .009 inch. The nails that are either shorter than 2.98 inches or longer are than 3.02 inches are unusable. What percentage of all the nails produced by this machine are unusable?
Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 3 inches, hence [tex]\mu = 3[/tex].The standard deviation is of 0.009 inches, hence [tex]\sigma = 0.009[/tex].Nails that are more than 0.02 inches from the mean are unusable, hence:
[tex]Z = \frac{0.02}{\sigma}[/tex]
[tex]Z = \frac{0.02}{0.009}[/tex]
[tex]Z = 2.22[/tex]
The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at https://brainly.com/question/24663213
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
2 cm
Step-by-step explanation:
8x13=104
208/104=2
What is the domain of the function y = In (-2+3/2)?
Answer:
Domain is undefined
Carpeting costs $7.99 a yard. If Jan buys 12.4 yards, how much will it cost her?
(Hint: Round it to two decimal places)
Multiply cost per yard by total yards:
7.99 x 12.4 = 99.08
Answer: $99.08
The 1,600-meter race in the Olympics is very close to 1 mile long. How many kilometers is 1,600 meters?
Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?
Possible Answers
A. -$500
B. $20
C. -$20
D. $500
Answer:
b
Step-by-step explanation:
100/5= 20
he was charhed 20
3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième
Answer:
4*15*pi
188.495559215
188.50
Answer:
188.50
Step-by-step explanation:
Solve 5/4=y−1/4. i need help
Answer:
I don't know
Step-by-step explanation:
Can someone help me out on this math problem?
1 ,3, 1
The first one is 1 the second is 3 and the last one is 1
3-⁵ * 10-⁵ * 125 ÷ 5-⁷ *6-⁵
who ever answer it I will give them a brainliest
Answer:
Below
Step-by-step explanation:
3^-5 * 10^-5 * 125 / 5^-7 * 6^-5
= (125 / 5^-7) / (3^5 *10^5 * 6^5)
= 0.0000516818 to 10 decimal places.
will give brainliest to correct answer !
lmk if you're looking for point slope form but it's y = 2/5x - 3
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle
Answer:
7 minutes
Step-by-step explanation:
average time = 6 minutes per mile
sum = average * count = 6 minutes / mile * 4 miles = 24 minutes
first + last mile = 5 + 5 = 10 minutes
first + second + third + last mile = sum = 24 minutes
second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes
average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes
What is the distance between the points (-4, 6) and (1, -6)?
Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.
[tex]-6-6=-12[/tex]
Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.
[tex]1--4=5[/tex]
Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:
[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13[/tex]
The distance between these 2 points is 13.
What is the length of AB?
Answer:
6
Step-by-step explanation:
A newspaper carrier can deliver 180 newspapers in three hours. How long would it take the newspaper carrier to deliver 120 newspapers?
Answer:
I think it's 2 hours.
Hope that helps you. x
Step-by-step explanation:
180 newspapers can be delivered in 3 hours,
60 minutes are in 1 hour.
180 divided by 3 = 60
60 x 2 = 120.
So 120 newspapers can be delivered in 2 hours.
Claire has 38 yards of material to make costumes for the school play.
She needs 2 3/8 yards for each costume. How many costumes can she
make?
Answer:
16
Step-by-step explanation:
38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38
Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?
Answer:
the answer is number 1 )
Step-by-step explanation:
we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1
we have
2x-y=7-------> y=2x-7------------> slope m1=2
find slope m2
m2=-1/m1------> m2=-1/2
the slope m of the perpendicular line must to be -1/2
so
the answer is
y = -1/2x + 6
Please write a rule for this table BEGGING
Answer:
y = 3x = 1
Step-by-step explanation:
Answer:
y = 3x - 1
Step-by-step explanation:
Check. Plug in the given x, and see if the result is the given y:
y = 3x - 1
When: (x = 8 , y = 23)
23 = 3(8) - 1
23 = (3 * 8) - 1
23 = (24) - 1
23 = 23 (True).
When: (x = 2 , y = 5)
5 = 3(2) - 1
5 = (3 * 2) - 1
5 = 6 - 1
5 = 5 (True)
When: (x = -3 , y = -10)
-10 = 3(-3) - 1
-10 = (3 * -3) - 1
-10 = (-9) - 1
-10 = -10 (True).
When (x = 9 , y = 26)
26 = 3(9) - 1
26 = (3 * 9) - 1
26 = (27) - 1
26 = 26 (True).
When you graph, simply graph the given points (bolded) onto the graph.
I giv Brainliest
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Answer:
The best answer is option C.
Step-by-step explanation:
Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...
Solve each inequality:
a. x + 3 < 4
b. x - 3 > 5
_
c. 4 > x - 2
d. -2 < x + 1
_
in the diagram m∠UYF= 42 1/8
What is ∠FYT?
Step-by-step explanation:
FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).
so,
FYT = 180 - 42 1/8 = 137 7/8°
as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.