Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.
Answers
Answer:
121 inches
Step-by-step explanation:
See the attached diagram. We can form a right triangle as shown. The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height. Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.
Related Questions
How many factors does 60 have? A)10 B) 8 C) 12 D) 4
Answers
Answer:
60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.
a. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
hours
minutes and
seconds
Answers
Answer:
The correct answers are:
A) 60 miles; and B) 3.375 hours.
Explanation:
We will use the equation d = rt for this.
For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation
d = 20x
For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:
d-6 = 16x
To isolate d, we will add 6 to each side:
d-6+6 = 16x+6
d = 16x+6
We will set the two equations equal to one another, since they both equal d:
20x = 16x+6
Subtract 16x from each side:
20x-16x = 16x+6-16x
4x = 6
Divide both sides by 4:
4x/4 = 6/4
x = 1.5
He travels for 1.5 hours both times.
The first time, 1.5 hours at 20 miles per hour is:
d = 1.5(20) = 30 miles
The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.
On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:
24 = 16x
Divide both sides by 16:
24/16 = 16x/16
1.5 = x
If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:
24/1.5 = 30/x
Cross multiplying,
24*x = 1.5(30)
24x = 45
24x/24 = 45/24
x = 1.875
This gives him a total time of 1.5+1.875 = 3.375 hours
Step-by-step explanation:
Which numbers make a true statement when placed in the box?
8.274< |__|
Select EACH correct answer.
1) 8.199
2) 8.201
3) 8.396
4) 8.295
*Disclaimer*
Show work!
Answers
Answer:
3 & 4
Step-by-step explanation:
Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295
HELPPPPPPPPPPP Asapp
Answers
Answer:
B. Kilograms
Step-by-step explanation:
Help! Help! HELP!!
Find the value for x
Answers
Answer:
21
Step-by-step explanation:
5(21)-12=93
3(21)+30=93
A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.
Answers
Answer: y = -(3/7)x - (36/7)
Step-by-step explanation:
Let's convert -3x - 7y = 10 to standard slope intercept form: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
-3x - 7y = 10
-7y = 3x + 10
y = -(3/7)x - (10/7)
This line has a slope of -(3/7). Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.
We want a value of b that forces the line to go trough point (-5,-3). Use this point in the partial equation and solve for b:
y = -(3/7)x + b
-3 = -(3/7)(-5) + b
-3 = (15/7) + b
b = -3 - (15/7)
b = -(21/7) - (15/7)
b = -(36/7), or -5 1/7
y = -(3/7)x - (36/7)
The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.How many miles longer is Trail A than Trail B?
Answers
The length of the trails can be determined be using a formula related to
Pythagorean theorem, which makes use of the rise and run of a trail.
The number of miles longer Trail A is than Trail B is 4 milesReasons:
The location of the park = (1, 9)
The stating point of Trail A = (-7, -6)
Starting point of Trail B = (6, -3)
The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;
[tex]Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}}[/tex]
Therefore;
[tex]Length \ of \ trail, \ A = \sqrt{\left (1-(-7) \right )^{2}+\left (9-(-6) \right )^{2}} = \mathbf{17}[/tex]
[tex]Length \ of \ trail, \ B = \sqrt{\left (1-6 \right )^{2}+\left (9-(-3) \right )^{2}} = \mathbf{13}[/tex]
The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles
Therefore;
Trail A is 4 miles longer than Trail B
Learn more about finding the distance between two points on a graph here:
https://brainly.com/question/9917504
Answer this .i will make you brainliest
Answers
[tex]\huge{\underline{\underline{\boxed{\sf{\purple{ǫᴜᴇsᴛɪᴏɴ}}}}}}[/tex]
(8) An aeroplane takes off from Dubai located in the +4 time zone at 13:00. It arrives in Manila in Philippines, located in the +8 time zone at 20:00.(1) Find the time in Manila when the aeroplane departsfrom Dubai.(ii) Find the time duration of the flight.(iii) What is the time in Dubai when the aeroplane arrives in Manila?[tex]\huge{\underline{\underline{\boxed{\sf{\ref{Answer}}}}}}[/tex]
(i)17.00(ii)3 hours(iii) 16.00[tex]\large\huge\green{\sf{♥ Explanation♥}}[/tex]
Dubai located +4 zone, takes off at 13.00,∴Hence, at standard it is 13.00-4 =99.00 STD talk
off reached at Manila +8 Zone at 20.00
∴Hence at standard & 2000 -8
reached.⇒ 12.00 STD
Hence time of flight was = 3 hours.(i) Time at Manila, whicle Plane de parts
12-3+8 ⇒9+8 → 17.00
(ii) duration = 3 hours.
(iii) in dubai 13.00 + 3 = 16,00
_____________________
Ans
i)17.0.0 (ii) 3 hours (iii) 16.00
________________________
♕ hence we done:) xD
Lillian invests money in an account paying a simple interest of 6.6% per year. If she invests $160 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answers
Answer:
Lillian will have $170.56 in one year
Step-by-step explanation:
First we have to figure out what is 6.6% of 160.
160 * 6.6% = 10.56
Now we just add 160 with the 6.6% to figure out the answer.
160 + 10.56 = 170.56
So, the answer is 170.56 dollars.
Hope this helps! :)
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anybody help please again •_•
Answers
Answer:
i am not to sure but i think its 5/13 or 5/40
The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
Answers
The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.
By factor the polynomial we get the following roots:
[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]
[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]
Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743
Hi. Can someone pls help
Answers
Answer:
(2, 10)
Step-by-step explanation:
If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.
[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]
Hope this helps.
Given that
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
2
x
, evaluate
g
(
f
(
5
)
)
Answers
Answer:
36
Step-by-step explanation:
identify the transformation performed on the figure below
Answers
A) Translation
hope this helps!
Answer:
translation
Step-by-step explanation:
this is a translation because every point of the shape remain in the same position as it is moved.
Yolonda ran 4 times last week here are the distances she ran in km
17.9,6.03,15.66,3
What’s the total distance ran
Answers
Answer:
42.59 km
Step-by-step explanation:
Total distance = 17.9 + 6.03 + 15.66 + 3 = 42.59
Answer:
42.59 km
Step-by-step explanation:
When a question tells you to find the total of something it is usually means you need to add to add decimals you align the decimals and if a number doesn't have a decimal you add .0 on the end then line it up. It also might help to add a 0 in empty spots . Then you move the decimal to the same place in the solution and add like normal.
17.90
06.03
15.66
+03.00
42.59
Solve for HL hypotenuse leg theorem
-GEOMETRY
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Additional information needed to prove the Triangles congruent by HL criteria is ~ D
[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]ST = SE or US = FS
===========================================
Explanation:
As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.
The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.
The HL theorem only applies to right triangles.
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4,800/60 = 480 tens / 6 tens = ___
Answers
Answer:
80
Step-by-step explanation:
Answer:
800 = 80 tens
Step-by-step explanation:
4800 / 60 = 800
Find the 12th term of the geometric sequence.
15, 30, 60, ...
Answers
Answer:
465
Step-by-step explanation:
The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.
-185 = -5 - 9b
How to find the answer to this problem above?
Answers
Answer:
b=20
Step-by-step explanation:
-185-5=9b
-180=9b
=>b= -20
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?
Answers
Answer:
0
Step-by-step explanation:
Jordan hasn't got enough money to buy any books, as $11.40<$280.
11.40/2.85 = 4
Help me with this pleassssseeeedeeeeeeee..
Answers
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Task-1:
1. Which of the following are in proportion?
a) 21, 35, 24, 40 b) 75, 21, 18, 6
Answers
Answer:
1
Step-by-step explanation:
Find 3 other points for this equation for both x and y ( bots don’t answer pls )
Answers
Answers:
Row one: x = -10 and y = -4Row two: x = 0 and y = 6Row three: x = 2 and y = 8There are infinitely many other possible answers.
===================================================
Explanation:
The [tex]\frac{3}{3}[/tex] simplifies to 1. Dividing any nonzero number over itself always leads to 1.
So the equation [tex]y = \frac{3}{3}x+6[/tex] simplifies to [tex]y = x+6[/tex]
To determine y, we add 6 to x.
Pick 3 random values you want for x.
Let's say we picked x = 0
y = x+6
y = 0+6
y = 6
So x = 0 leads to y = 6
-----------
If you tried something like x = 2, then,
y = x+6
y = 2+6
y = 8
So (2,8) is another point on the line
-----------
Lastly, let's try a negative number. Let's go for x = -10
y = x+6
y = -10+6
y = -4
The input x = -10 gives the output y = -4
There isn't any restriction on x, so you can use any number you want. Therefore, there are infinitely many possible answers.
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?
Answers
(x-2)(x+5-2)(1) = 644
Now just solve for x.
The width of the piece of metal will be 24 inches while the length will be 29 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's say the width of metal w then the length will be w + 5
Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;
Length = w+5 - 2 -= w + 3
Width = w - 2
Height = 1
So,
Volume = (w+3)(w-2)1
594 = w² + 2w + 3w - 6
w² + w - 600 = 0
By solving this
w = 24 so width will be 24 and length will be 24 + 5 = 29.
Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".
For more about rectangles,
https://brainly.com/question/15019502
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A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. If Leo gets Php 24,000.00, how much is the total amount?
Answers
Answer:
120,000
Step-by-step explanation:
Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1
5x + 7x + 3x = total = 15x
3x = 24000
divide both sides by 3 to get x
x = 8000
15x = 8000*15 = 120000
This is a Function?
O True
O False
Answers
Answer:
true
Step-by-step explanation:
please help me asapppppp
ty :)
Answers
Answer:
2x + 7y = 35
Step-by-step explanation:
Multiply the equation with 7
7 ( y = -2x/7 + 5 )
7y = -2x + 35
2x + 7y = 35
Simon walks a total of 45.55 miles in march sand 35.7 miles in April.
How many miles does Simon walk in all march and April?
Enter your answer in the box.
|__|
Answers
Answer:
[tex]81.25[/tex]
[tex]45.55 + 35.7[/tex]
what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16
Answers
Answer:2/8, 0.3215, 9/16, 0.75
Step-by-step explanation:
2/8 = 0.25 0.3215 is higher then 9/16 =0.5625 next is 0.75
- is dilated to be ' ' ' '. The original is the center of dilation.
What scale factor is used to create the dilation?
Answers
In the first image, you can see that the pre image square it 1 unit long and the image is 5. How do you get 1 to 5, you multiply by 5. So the scale factor is 5.