An object at point A moving to point B is displaced in the direction of
r = (5i - 2j) m - (2i + j) m = (3i - 3j) m
(I assume distance is measured in meters)
If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is
F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J
Solve for HL hypotenuse leg theorem
-GEOMETRY
[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.
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?
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! :)
૮ ・ﻌ・ა
solve similar triangles (advanced)
Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
_____
Additional comment
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.
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?
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
Given that
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
2
x
, evaluate
g
(
f
(
5
)
)
Answer:
36
Step-by-step explanation:
what is the answer in simplest form?
[tex]\\ \sf\longmapsto 2m^2=-200[/tex]
[tex]\\ \sf\longmapsto m^2=-100[/tex]
[tex]\\ \sf\longmapsto m=√-100[/tex]
[tex]\\ \sf\longmapsto m=√100i[/tex]
[tex]\\ \sf\longmapsto m=10i[/tex]
Task-1:
1. Which of the following are in proportion?
a) 21, 35, 24, 40 b) 75, 21, 18, 6
Answer:
1
Step-by-step explanation:
Help please!! Due today
Answer:answer is x=15=20
Step-by-step explanation:i did it before in class and got an A
-185 = -5 - 9b
How to find the answer to this problem above?
Answer:
b=20
Step-by-step explanation:
-185-5=9b
-180=9b
=>b= -20
The question is in the picture pls help!!!!!
Answer:
I believe its (B.)
WILL GIVE BRAINLY,5 STARS, THANKS
4,800/60 = 480 tens / 6 tens = ___
Answer:
80
Step-by-step explanation:
Answer:
800 = 80 tens
Step-by-step explanation:
4800 / 60 = 800
please help me asapppppp
ty :)
Answer:
2x + 7y = 35
Step-by-step explanation:
Multiply the equation with 7
7 ( y = -2x/7 + 5 )
7y = -2x + 35
2x + 7y = 35
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?
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
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?
Answer:
0
Step-by-step explanation:
Jordan hasn't got enough money to buy any books, as $11.40<$280.
if a = 3y + 4z and b = z - 2y, then what is the value of a + b?
Answer:
y + 5z
Step-by-step explanation:
Hope this helps!
What are the values of a1 and r of the geometric series? 2 â€"" 2 2 â€"" 2 2.
The values of [tex]a_1[/tex] is 2 and r are -1 of the geometric series and it can be determined by using geometric summation operation.
Given that,
The geometric series is,
2 – 2 + 2 – 2 + 2
We have to determine
What are the values of a1 and r of the geometric series?
According to the question,
Geometric series;2 – 2 + 2 – 2 + 2
The geometric series [tex]a_1[/tex] is the first term of the geometric sequence and r is the common ratio of the geometric series.
The first term of the given geometric series is 2.
And the common difference in the given geometric series is,
[tex]\rm r = \dfrac{a_2}{a_1}[/tex]
Where [tex]a_1[/tex] is the first term of the geometric sequence and [tex]a_2[/tex] is the second term of the geometric sequence.
Then,
The common difference in the given geometric series is,
[tex]\rm r = \dfrac{-2}{2}\\\\r = -1[/tex]
The common ratio in the given geometric series is -1.
Hence, the values of [tex]a_1[/tex] is 2 and r is -1 of the geometric series
For more details about Geometric progression refer to the link given below.
https://brainly.com/question/25959517
Evaluate and simplify without a calculator:
−35+23
Pleasee helpp
Answer:
The answer would be -12, I'm not to sure what simplify means
anybody help please again •_•
Answer:
i am not to sure but i think its 5/13 or 5/40
How many factors does 60 have? A)10 B) 8 C) 12 D) 4
Answer:
60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60
A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.
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)
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.
|__|
Answer:
[tex]81.25[/tex]
[tex]45.55 + 35.7[/tex]
Help me with this pleassssseeeedeeeeeeee..
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?
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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Answer this .i will make you brainliest
[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
what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16
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?
solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24
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
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
write the equation of the line with slope -3/2 passes through the point (-12,16)
Answer:
Step-by-step explanation:
You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.
y - y1 = m(x - x1)
In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.
The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.
So fill that in:
y - y1 = -3/2 (x - x1)
They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!
y - 16 = -3/2 (x - -12)
Simplify that ugly 'minus a negative' in the parenthesis.
y - 16 = -3/2 (x + 12)
If you were never told what form of equation to write, or they said "any form of the equation", then you're done!
This is in "point-slope" form.
y - 16 = -3/2(x+12) Ta-da!
If you need to change it to "slope-intercept' form then there are a few more steps.
y - 16 = (-3/2)x + (-3/2)12
y - 16 = (-3/2)x - 18
+16 +16
y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)
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
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: