Answer:
35.7Step-by-step explanation:
Step one
Given the coordinates
ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).
AB=(−4, 2), (8,2)
BC=(8,2), (11, 7)
CD=(11, 7),(-1, 7)
DA=(-1, 7),(-4,2)
The distance between points AB=
[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]
The distance between points BC=
[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]
The distance between points CD
[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]
The distance between points DA
[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]
Hence the perimeter of the footpath= 12+5.8+12+5.8
=35.7
Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum
(physics question)
The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the directions are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
What is the magnitude of the vector?The magnitude of a vector can be defined as:
The length of a vector or the distance between the initial point and the endpoint of a vector.
Here given that,
[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]
The magnitude of a vector is the length of the vector.
The magnitude of the vector a is denoted as ∥a∥.
For magnitude,
[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]
For Direction of sum,
[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
For the vector B, the direction of the sum is
[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the direction are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
To know more about the magnitude;
https://brainly.com/question/1852933
#SPJ6
This table shows a proportional
relationship.
4
-2
0
2
4
-14 -7
0
7
14
Which ordered pair could also belong to
this relationship?
A (-6,21)
B -1.-3)
C (1,3)
D (6,21)
Answer:
D (6, 21)
Step-by-step explanation:
Since the ratio of the corresponding values of x and y given in the table is 2 : 7
So, 6/ 21 = 2/7 = 2: 7
Thus, D (6, 21) is the correct answer.
Answer:
D
Step-by-step explanation:
from formula I=U/R tell the R
R=I/U
R=U/I
R=IU
Answer:
R = [tex]\frac{U}{I}[/tex]
Step-by-step explanation:
Given
I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )
R × I = U ( isolate R by dividing both sides by I )
R = [tex]\frac{U}{I}[/tex]
work out 1/2×7 write your answer mixed
Answer:
1/2 x 7= 3.5
Step-by-step explanation:
Why is it so hard for people to learn math?
Answer:
I don't know, I kind of wonder the same thing sometimes. But everyone understands things at a different rate, so that's why I'm here helping people by answering their questions and doing my best to explain how I got there.
thank you for the free points though :)
Answer:
because they are over thinking easy thing and getting stressed out.
Step-by-step explanation:
this is what happened to me
A dressmaker has 75 yards of lace. it takes
[tex]1 \frac{1}{2} [/tex]
yards of lace to decorate one pocket.
How many pockets can she decorate with the lace she has.
Answer:
50 pockets
Step-by-step explanation:
Total yards of lace = 75
Yards to decorate one Pocket = 1 1/2 yards
How many pockets can she decorate with the lace
Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket
= 75 ÷ 1 1/2
= 75 ÷ 3/2
= 75 × 2/3
= 150/3
= 50
Number of pockets she can decorate with the lace = 50 pockets
please help me i give 5* along with thanks for quality answer
Answer:
The total number of faces in a pyramid= 1+n
SO 2 chairs are left out. If there are 4781 chairs, find the
The cost of levelling a square lawn at 32 per sq. metre is 3 6272. Find its one side. Also find the cost of
fencing it at 3 per meter.
Answer:
u need 2321 chairs
Step-by-step explanation:
there u go
Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?
Answer:
La familia paga 72 €.
Step-by-step explanation:
Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.
Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.
3 adultos* 12 €= 36 €
Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.
6 niños* 8 €= 48 €
Sumando el total pagado por la entrada para adultos y para niños se obtiene:
36 € + 48 €= 84 €
La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:
3 "packs" de 3 entradas* 4 €= 12 €
Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:
84 € - 12 €= 72 €
Finalmente, la familia paga 72 €.
For the picture I think you can zoom in to see it more clearly.
Answer:
y=15x
Step-by-step explanation:
YEPP PRETTY CONFIDENT IN THE ANSWER
9514 1404 393
Answer:
s = 15w
Step-by-step explanation:
The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.
The equation asked for is ...
s = 15w
20a + 20b + 4c + 6c - 4b - 2a
Answer:
18a, 16b, 10c
Step-by-step explanation:
whats 2 over 3 x5 in fractions
HELP PLEASE AND THANK YOU!!
easy multiple choice!
Answer:
what are the choices
Step-by-step explanation:
Answer: is there suppose to be a pic?
Avery is making a necklace for her mothers birthday. She uses 1 1/20 strings of black beads and 1 4/5 more strings of gray beads than black beads. How many strings of gray beads did she use?
.
Answer:
She used 2 17/20 strings of grey beads
Step-by-step explanation:
Here, we want to know the number of grey beads used
To calculate this, we simply add up the black beads number with the number of grey beads
Mathematically, that will be;
1 1/20 + 1 4/5
= 21/20 + 9/5
= (21 + 36)/20
= 57/20 = 2 17/20
A museum recorded that it had 988 visitors in 4 hours .What is the unit rate in visitors per hour?
Answer:
247
Step-by-step explanation:
the perimeter of a rectangle is 8x+10. if the length is 2x+8 what is the width?
Answer:
Step-by-step explanation:
8x+10 - 4x+16 = 4x-6
w= 2x-3
lol but how do i do this??
Answer:
Y=x+12
Step-by-step explanation:
Not pretty sure XD but .-.
Answer: 1/2 x + 3
Step-by-step explanation: y = 3 slope = 1/2
Can somebody help me solve this equation?
write the slope intercept form of the equation of each line
Answer:
y=1/5x+3
Step-by-step explanation:
Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.
Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)
Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5
Equation is: y=1/5x+3
The dimensions for a rectangular prism are x + 5 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answer:
Step-by-step explanation:
v
=
x
3
+
6
x
2
+
5
x
Explanation:
The formula for volume is:
v
=
l
⋅
w
⋅
h
where
v
is the volume,
l
is the length,
w
is the width and
h
is the height.
Substituting what we know into this formula gives:
v
=
(
x
+
5
)
(
x
+
1
)
x
v
=
(
x
+
5
)
(
x
2
+
x
)
v
=
x
3
+
x
2
+
5
x
2
+
5
x
v
=
x
3
+
(
1
+
5
)
x
2
+
5
x
v
=
x
3
+
6
x
2
+
5
x
Anasia is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability
0.7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of X, the number of shots that Anasia makes in a set of 2
attempts.
2
X=of makes 0 1
P(X)
0.09 0.42
0.49
Given that r = 1.4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places
shots
Answer:
0.65
Step-by-step explanation:
The required standard deviation is 0.65
Given data is,
Computation:
[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]
Now,
[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]
Learn More:https://brainly.com/question/22920224
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
Ten times a number increased by four is no more than twenty-five.
Answer:
10x + 4 < 25
Step-by-step explanation:
The correct answer is:
10x + 4 < 25
Please help if you can :(
Answer:
its b
Step-by-step explanation:
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answer:
$460.
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]
So the price yesterday was $460
17. Write an equation for the translation of y = |x| that is 2 units left.
The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay rate as a decimal? What is the initial value? Write an exponential model that represents the cost f (t) of the figurine t years after it's bought. After 6 years the figurine's value is ?
Answer:
Growth rate = 8% = 0.08
Initial value (Po) = $255
F(t) = Po* e^rt
F(t) = $412.09897
Step-by-step explanation:
Given that:
Initial cost = $255
Rate of increase per year (r) = 8% = 0.08
Growth rate :
Final amount = Initial amount * (1 + rate)^time
Growth rate = 8% = 0.08
Initial value (Po) = $255
Exponential model for the cost :
F(t) = Initial value * e^(rate * time)
F(t) = Po* e^rt
Value after 6 years :
F(t) = Po* e^rt
t = 6
F(t) = 255 * e^(0.08*6)
F(t) = 255 * 1.6160744
F(t) = $412.09897
kind of stuck here , & yeah I need help , please help omg-
Answer: (4,-6) , do u need help on the bottom question?
Step-by-step explanation:
PLEASE HELP ASAPPPP!!???
Answer:
I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.