The length of one ramp is 16 feet. The vertical rise is 5 feet. Use pythagorean theorem to estimate the ramp’s horizontal distance. (round to the nearest tenth of a foot) *
Answer:
The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first. 1 feet makes 12 inches Hence 16 feet makes 192 inches. From pythagoras a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance. So we have (192)^2 = (14)^2 + c^2 C^2 = 192^2 - 14^2 = 36668 C = 191.48 From SOHCAHTOA. We have to use Sin So sin theta = (14/192) Theta = sin^(-1) (14/192) = 4.1815. Yes, it meets the FAC standard since the ramp's angle is less than 4.78
Step-by-step explanation:
2/3x + 4 = 2 Solve the equation algebraically show work to support the answer
Answer:
x = -3
Step-by-step explanation:
2/3x + 4 = 2
2/3x = 2 - 4
2/3x = -2
2x = -2 * 3
2x = -6
x = -6/2
x = -3
Determine if the data below represents a function. Explain your reasoning. (3, 2), (4,7), (8, 12). (10, 15)
Answer:
the data that is shown represents a function
Step-by-step explanation:
the easiest way to know is by looking at the x-variable. Each y-variable needs one x-variable. the x-variable should not be seen paired with another y-variable.
what is linear spline?
9Linear splines
The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.
Which statement best describes π?
A:Pi is the result of dividing a circle’s circumference by its radius.
B: Pi is the result of dividing a circle’s diameter by its circumference.
C: Pi is the result of dividing a circle’s circumference by its diameter.
D: Pi is the result of dividing a circle’s radius by its circumference.
Answer:
C.
Step-by-step explanation:
Pi = circumference / diameter.
heeeeeeeeeeeeeeeeeeeelp me plssssssssssss
Answer:
Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.
So (a) is the answer
Diagonal lines are linear functions
Answer:
Diagonal lines........
Pls help stuck on it
Answer:
4,-1
Step-by-step explanation:
Please like!♥
can someone please help me
Answer:
The mode is 31
good luck naka
- The width of a rectangle is 4x – 1 feet and the length is 2x + 6 feet. Find the perimeter of the rectangle.
Answer:
12x + 10 feet
Step-by-step explanation:
Perimeter = 2( length + width)
= 2[ 2x + 6 + (4x -1)]
= 2( 2x + 6 + 4x - 1)
= 2( 6x + 5)
= 12x + 10
24,761 divided by 24
Answer:
1031.70833333
Step-by-step explanation:
According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of
$250 and a standard deviation of $100 in the city of Andijan. The distribution of the monthly rent does not
follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample
of 40 two-bedroom apartments and finding the mean to be at least $275 per month?
Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month.
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 $250, hence [tex]\mu = 250[/tex].The standard deviation is of $100, hence [tex]\sigma = 100[/tex].The sample is of 40 apartments, hence [tex]n = 40, s = \frac{100}{\sqrt{40}}[/tex].The probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a p-value of 0.9429.
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
About how many years ago did Jesus live
A.10,000
B. 5,000
C. 2,000
D. 1,000
Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago
in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in feet?
Answer:
8 feet
Step-by-step explanation:
it actually will be 8 feet
Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.
Help
Answer:
(2,5) -- that is, x is 2, and y is 5, so it would be choice A.
Step-by-step explanation:
5(2x+1)-7x=11
10x+5-7x=11
3x=6
x=2
y=2(2)+1=5
3. Find to the nearest thousandth: log7 80
Answer:
I believe 1000
Step-by-step explanation:
The volume (V) of a rectangular pyramid can be determined by using the following
formula.
Iwi
V
Where l= the length of the rectangle, w = the width of the rectangle, and h = the heigh
of the pyramid, what is the result of solving this equation for w?
Ow=3V-th
O2 - V +3 - th
V3
th
3V
O w=
Answer:
[tex]{ \rm{V = \frac{lwh}{3} }} \\ \\ { \rm{3V = lwh}} \\ \\ { \boxed{ \rm{ \: w = \frac{3V}{lh } \: }}}[/tex]
here is a list of numbers: 8 7 12 7 11 10 7 12
a) find the median
b) the range
c) the mode
Answer:
Ascending order = 7,7,7,8,10,11,12,12
a) n = 8
= median = (n/2+(n/2+1)/2
= (4th term + 5th term)/2
= 8+10/2
= 9
b) range = 12-7 = 5
c) the mode = 7 (highest occuring value)
The median of the given list of numbers is 9.
The range of the given list of numbers is 5.
The mode of the given list of numbers is 7.
We have,
a) To find the median of a set of numbers, we arrange them in ascending order and determine the middle value.
If there is an odd number of values, the median is the middle number.
If there is an even number of values, the median is the average of the two middle numbers.
Arranging the numbers in ascending order: 7 7 7 8 10 11 12 12
There are eight numbers in this set, so the middle two numbers are 8 and 10.
Taking their average, the median is (8 + 10) / 2 = 9.
b) The range is the difference between the highest and lowest values in the set.
The lowest value is 7, and the highest value is 12.
So the range is 12 - 7 = 5.
c) The mode is the value that appears most frequently in the set.
In the given list, the number 7 appears three times.
Therefore,
The median of the given list of numbers is 9.
The range of the given list of numbers is 5.
The mode of the given list of numbers is 7.
Learn more about the median here:
https://brainly.com/question/28060453
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What is the equation in standard form of the line y= 1/9x +5
Answer:
answer below
Step-by-step explanation:
9(y = 1/9x + 5)
9y = x + 45
-x + 9y = 45
x - 9y = -45
evaluate f(2) and lim f(x) where f(x)=5x^3+3x+1
f(x) = 11 – 5x for f(9)
A.-46
B.-44
C.44
D.45
Answer:45
Step-by-step explanation: math solver
Answer:
the answer is not there. the answer is -34
Step-by-step explanation:
11-5(9) . 11-45
A tree of unknown height casts a shadow that is 18 feet long. If a person that is 5 ft 7 in casts a shadow that is 4 ft long, then how tall is the tree in feet?
Round your answer to the nearest integer. Do not include feet in your answer.
Answer:
25.
Step-by-step explanation:
5 ft 7 in = 5.583 ft.
We have 2 similar triangles here.
If h is the height of the tree, then:
h / 5.583 = 18/4
h = 18*5.583/4
h = 25.12 ft
The height of the tree is approximately 25.12 feet.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The ratio of the shadow lengths is equal to the ratio of the object heights.
In other words, if we let H be the height of the tree in feet and h be the height of the person in feet, we have:
H/h = 18/4
We can find h by converting the person's height to feet. Since 1 inch is equal to 1/12 foot, the person's height in feet is 5 + 7/12 = 5.58 feet.
Substituting this value into the equation above and solving for H, we get:
H = (18/4) x 5.58 feet
= 25.12 feet
Therefore, the tree is around 25.12 feet tall.
Learn more about the Ratio here:
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What is 7C3? Thanks.
Answer:
C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?
Answer:
7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!
whats 2077-210?
its for a thing im doing.
Answer:
1867
Step-by-step explanation:
What do you need it for?
The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width
Set up figure, side length x, and width x-7. Set equation up
[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]
Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)
pls help me due t
in 1 hrs I'll give u brainliest answer
If x²+y²=125 and xy=22, find the value of (x+y)².
[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(x + y) {}^{2} [/tex][tex] \sf {x}^{2} + {y}^{2} + 2xy[/tex][ by using formula ]
[tex] \sf125 + (2 \times 22)[/tex][tex] \sf125 + 44[/tex][tex] \sf169[/tex]I hope it helps ~
can anyone slove this question pls
we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3
ANSWER : -2 and -3
ok done. Thank to me :>
What is the GCF of 9y and 12y?
Some one help me? ill give 50 points
Answer:
v=[tex]\frac{(w+v)/t}{2}[/tex]
Step-by-step explanation:
just inverse operations and you will always get your answer :)
Help meeeeeeeeeeeeedsddsss9
Answer:
2(x + 3) <9
Step-by-step explanation:
Two times the quantity of a number increased by 3 is less than 9
2 · (x + 3 ) < 9
= 2(x + 3) <9
Yosef typed a 36 word paragraph in 2/3 minute. What is his typing speed, in words per minute?
Answer:
the answer is:
Yousef typing speed, in words per minute is
equal to
54 words
minute