PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
Answers
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
Answer:
see below
Step-by-step explanation:
The umbrella should fit
The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
Take the square root of each side
sqrt(900) = sqrt(c^2)
30 =c
As long as the umbrella is less than 30 inches, it should fit
The umbrella is 29 inches so it should fit
Related Questions
PLEASE HELP ME!
I would really appreciate it.
Answers
Answer:
Step-by-step explanation:
It's D the reasoning here is just look at the points at the graph and their x y coordinate
Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.
Answers
Answer:
A) 8 feet.
B) 72 feet
Step-by-step explanation:
We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.
Part A)
We want to find the initial height of the rocket when it was shot.
At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.
Therefore, to find the initial height, we will substitute 0 into our function. This yields:
[tex]f(0)=-16(0)^2+64(0)+8[/tex]
Evaluate:
[tex]f(0)=8[/tex]
Therefore, the initial height was 8 feet.
Part B)
Notice that our function is a quadratic.
Therefore, the maximum height will be given by the vertex of our quadratic.
To find the vertex, we use:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]
Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]
Therefore, a=-16, b=64, and c=8.
Substitute them into the vertex formula to find the x-coordinate:
[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]
Now, to find the maximum height, substitute 2 back into our function f(x):
[tex]f(2)=-16(2)^2+64(2)+8[/tex]
Evaluate:
[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]
Therefore, the rocket reaches a maximum height of 72 feet.
Who makes it, has no need of it.
Who buys it, has no use for it.
Who uses it can neither see nor feel it.
What is it?
Answers
It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.
The person who is using it has passed away so they can't see or feel anything.
:( This is one morbid riddle.
goyeggoyeceo y sit stuu try steet8eitccetiectoce58
Step-by-step explanation:
yeti et87stps tu et8 e85et 8
u0r as8tcc85e7ce5ctce5e5c8cr6
I ts its 7w496 w4y rs9rr s77
i mark as brainliest
Answers
Answer:
5 and 39/40.
Step-by-step explanation:
4/5 to a decimal show work
2/3 to a decimal show work
Answers
Answer:
4/5= 0.8
2/3= 0.66666666667
Step-by-step explanation:
Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.
Answers
Answer:
4 pounds a month
Step-by-step explanation:
is that what you're looking for
The average weight lost per month is 5 pounds.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.
Total weight lost = 24 + 16 = 40 pounds
Total time taken to lose the weight = 6 + 2 = 8 months
Average weight lost = Total weight / Total time
= 40 / 8
= 5
Hence there is a weight of 5 pounds lost per month.
To learn more about Division, click on the link given below :
https://brainly.com/question/21416852
#SPJ2
If an orthocenter lies inside of a triangle, then the triangle must be O isosceles. O acute. obtuse. o right
Answers
If an orthocenter lies inside of a triangle, then the triangle must be acute.
Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle. The third altitude usually pass through the point of the first two altitudes.
When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.An acute triangle is a type of triangle whose angles are less than 90 degrees.Thus, If an orthocenter lies inside of a triangle, then the triangle must be acute.
Learn more about orthocenter here: https://brainly.com/question/6944944
Answer:D ( acute)
Step-by-step explanation:
edg
I’m not well with percentages lol. Can someone help me with solving it and answer
Answers
Answer:
1. Dracula Answer: D) 12.5%
2. Jack-O-Lantern Answer: D) 40%
Step-by-step explanation:
1. 54 - 48 = 6
6/48 = 0.125 x 100 = 12.5%
2. $20 - $12 = 8
8/20 = 0.4 x 100 = 40%
a number increased by 8 is equal to 48
Answers
Answer:
6
Step-by-step explanation:
if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.
hope this helps
which expression means 8 less twice a number
8-2n
2n-8
Answers
Answer:
I think 2n-8 because you are taking 8 away from 2 times a number
Step-by-step explanation:
1/2 times 4 /please answer for me :)
Answers
Answer:
2
Step-by-step explanation:
1/2*4 = 2
hope this helps
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answers
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
The equation of a linear relation is y = -4x + 9
The missing number in the order pair is ( -15)
Answers
Answer:
6.
4.
Step-by-step explanation:
We need the value of x when y = -15:
-15 = -4x + 9
-4x = -15 - 9 = -24
x = 6.
-15 = -6x + 9
-6x = -24
x = 4.
Question 2 of 5
Select the story problem that this division problem represents.
3
4
1
5
A. A mosaic has an area of square foot and a width of foot.
What is the length of the mosaic?
B. A piece of wrapping paper is yard wide and yard long. What is
the area of the wrapping paper?
C. The area of a wetland is į square mile, and it is mile in length.
How wide is the wetland?
D. A whiteboard is meter long and has an area of 1 square meter.
How wide is the whiteboard?
Answers
Answer:
The answer is below
Step-by-step explanation:
A) Given that the area of the square a square foot = 1 ft², the width = 1 foot
Area = length × width
1 ft² = length × 1 ft
Length = 1 ft²/ 1 ft = 1 ft
B) Given that length of wrapping paper = 1 yd, width = 1 yd.
The area of the paper = length × width = 1 yd × 1 yd = 1 yd²
C) Given that the area of the wetland is a square mile = 1 mile², the length = 1 mile
Area = length × width
1 mile² = 1 mile × width
width = 1 mile²/ 1 mile = 1 mile
D) Given that the area of the square a square meter = 1 m², the length = 1 meter
Area = length × width
1 m² = 1 m × width
width = 1 m²/ 1 m = 1 m
Question 1
In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.
Part A
Rewrite the logarithmic equation y = logbm in exponential form.
Part B
Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .
Part C
The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.
Part D
Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27
Part E
Use the change of base formula and a calculator to evaluate log7 300. Round your ans
Answers
Answer and Step-by-step explanation:
Part A: Exponential equation is the "opposite" of logarithmic equation, so:
[tex]y=log_{b}m[/tex]
[tex]b^{y}=m[/tex]
Part B: Using log with base c:
[tex]log_{c}b^{y}=log_{c}m[/tex]
Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:
[tex]ylog_{c}b=log_{c}m[/tex]
Solving for y:
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform
[tex]y=log_{b}m[/tex]
into
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part D: [tex](log_{3}z)(log_{z}27)[/tex]
Change of base will be:
[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]
[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]
Solving:
[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = 3
Part E: [tex]log_{7}300[/tex]
Using change of base:
[tex]log_{7}300=\frac{log300}{log7}[/tex]
[tex]log_{7}300=\frac{2.48}{0.85}[/tex]
[tex]log_{7}300[/tex] ≈ 3
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answers
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over
Answers
Answer:
You will have .38 feet left of string
Step-by-step explanation:
Just subtract the numbers
Have a good day!
Answer:
0.38
Step-by-step explanation:
4.25-3.87=0.38
I need help on thisss
Answers
Answer:
1) 4 pots
Left over 2
2) 168 to make 12
122
3) 9
18
Step-by-step explanation:
10/3 = x/ (-5/2) what does x equal
Answers
The answer to the equation is [tex]x=-\frac{25}{3}[/tex]
First, you must cross multiply the fractions.
[tex]10*-\frac{5}{2} =x*3[/tex]
[tex]-25=3x[/tex]
Then, you must flip the equation.
[tex]3x=-25[/tex]
Finally, divide 3 on each side
[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]
[tex]x=-\frac{25}{3}[/tex]
2. The snow at Afton Alps is 3 meters deep when it starts snowing. After 3 hours the snow is 3.6 meters deep. What
is the rate of change of snowfall in meters per hour?
Answers
sams cola 0-0 T-T :-(
which number value is in The Ten Thousands place of 272,114
Answers
Answer:
7
Step-by-step explanation:
2 is thousands so 7 must be ten thousand
7, because it’s asking for the ten thousands. 7 in 70,000 (it’s pretty easy, but i’m not exactly sure how to explain it.)
A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?
Answers
Answer:
36 feet.
Step-by-step explanation:
2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
0-3
0 -1
O 2
O4
PLEASE HELP :)
Answers
Solving Steps:
2x-y=11
x+3y=-5
-2x-y=11
-2x-6y=10
-7y=21
y=-3
x+3(-3)=-5
x=4
Select all ratios that are equlvalent to 4:8
Answers
Answer:
1/2, 2/4, 4/8
Step-by-step explanation:
because they are all one half then they are equal
The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Answers
Answer:
L = 20
W = 10
Step-by-step explanation:
L = (w + 10)
NL = (w + 13)
Divide 299 by 13:
299 ÷ 13 = 23
So, 23 x 13 = 299
L = 23
W = 13
Subtract 3 from both to get the original length and width
five times the sum of a number and four
Answers
here is the Answer:
5(x+4)
Hope it helps
Kevin’s school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards
Answers
Answer :1,760 1,760 1,760 1,760 1,760
Answer:
The distance between Kevin's school and his house is 9,152 yards
Step-by-step explanation:
Units Conversion
Some common length units are meters, centimeters, inches, feet, miles, kilometers, and yards.
There are fixed numbers to convert one into another. For example:
1 mile = 1,760 yards
Since Kevin's school is 5.2 miles away from his house, that distance converted to yards is:
5.2 * 1,760 = 9,152
The distance between Kevin's school and his house is 9,152 yards
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answers
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
What is y = -2/9x + 2 written in standard form?
Answers
Explanation:Move the expression to the left-hand side and change its sign.(y+2/9x=2)Next,multiply both sides of the equation by 9.(9y+2x=18)Lastly,use commutative property to reorder the terms.(2x+9y=18)
It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.
How much does it cost to send 12 one-pound boxes by Express Mail?
Answers
Okay so you would take 19.50 and add the 5 dollar insurance giving you 24.50. Then you’d take the 24.50 and multiply it by 12 giving you 294 dollars
Really hope I got that right