Answer:
Comics6366
05/20/2020
Mathematics
Middle School
answered
a dog searching for a bone walks 3.5 m southeast, then 8.2 m at an angle 30 degrees north of east. Find the magnitude of the dog's resultant vector
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OutsideSong
Answer:
Step 1: Firstly, we draw both of the axes.
Step 2: We then draw a vector of length 3.5 m (theoretical) along the (-x) axis.
Step 3: Next, we draw a vector of length 8.2 m from the endpoint towards to top, at an angle of 60° from that point (N.B: 90-30, since it is required to make a 30°∠ with the current vertical; eventually the triangle being formed will be 90° minus the 30°.) Most importantly, the 8.2 m vector should be drawn in such a way so that it is higher than the starting point of the 3.5 m vector. )
Step 4: Lastly, we draw a 15 m vector from the endpoint of the 8.2 m vector, running above the original vector, and to the left. This one should be drawn on the left side, and must be situated far enough.
∴ Triangle 1 () is of angles 30°, 60° and 90°;
On solving for the vertical side (the slope similar to the 3.5 vector), we get
(8.2/2) m = 4.1 m
Next, we solve for the opposite side via 4.1 × √3= 7.1 m
Moving on to Triangle 2 (),
top side = (15 - 7.1) m = 7.9 m
similarly, right side = (4.1 - 3.5) m = 0.6 m
∴ last side = resultant displacement:
⇒ + (0.6)² = 7.9 m
and, direction of displacement = arcTan(y/x)
= arcTan(0.6/7.9)
= 4.3° north of west
how do i solve this problem
Answer:
[tex]A\approx 159.6[/tex]
Step-by-step explanation:
1. Approach
To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).
2. Find the area of the rectangle
The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.
As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,
[tex]A=(length)(width)\\[/tex]
Substitute,
[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]
Simplify,
[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]
3. Find the area of the semi-cricle
Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)
[tex]A=\frac{(\pi)(r^2)}{2}[/tex]
Substitute,
[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]
Simplify,
[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]
4. Find the total area
To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,
[tex]A=A_r+A_s\\[/tex]
Substitute,
[tex]A=140+19.635[/tex]
Simplify,
[tex]A=159.635[/tex]
[tex]A\approx 159.6[/tex]
Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides
Answer:
4 units
Step-by-step explanation:
P of a square is P =4s
A of a square is A = s^2
4s = s^2
Divide each side by s
4s/s = s^2/s
4 =s
the range of a function is?
Equation of lines geometry acellus pls helppppppplpppp
Answer:
y=2x-7
Step-by-step explanation:
Using rise/run method, its 16/8, equal to 2 so the gradient is 2x and it passes y-intercept, -7 so the equation is y=2x-7
Help me wit this rq…………..
Help ASAP need it done for right now
Answer:
C
Step-by-step explanation:
just look at the interception of blue and red lines
What is the area of a circle with a radius of 8 inches? Use 3.14 for .
Pls helpi neeed the answer
Answer:
I believe that the answer is 80X (or C)
Step-by-step explanation:
it looks like it is just under a right angle so i believe that it would be 80X
Answer:
y=6x
Step-by-step explanation:
Solve this equation for d.
d- 6 = 6
A. d = 0
B. d = 6
C. d = 12
D. d = 36
Answer:
d = 12
Step-by-step explanation:
d- 6 = 6
Add 6 to each side
d- 6+6 = 6+6
d = 12
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]C)\text{ } d=12[/tex]
»»————- ★ ————-««
Here’s why:
We can use inverse operations to solve for 'd'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'd'....}}\\\\\rightarrow d - 6 = 6\\\\\rightarrow d - 6 + 6 = 6 + 6\\\\\rightarrow \boxed{d = 12}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Four hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks?
(a) next week mice rilex
(b) in 3 weeks mice
Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]
[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]
step 2 : multiply the matrix above to determine the number of mice that will be infected
a) For next week
PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]
i.e. 360 mice will get infected next week
next 2 week = P ( PX )
= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
b) In 3 weeks time
P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]
i.e. 364 mice will get infected in 3 weeks time
What is an equivalent expression to 4( x + 2) + 6x
Work Shown:
4(x+2) + 6x
4x+8 + 6x
(4x+6x) + 8
10x+8
Which expression is equivalent to the given expression?
(776) (2y-4)2
Answer:
(776) (2y-4)²
(776) (4y²-8y-8y+16)
(776)(4y²-16y+16)
=3104y²-12416y+12416
Please help me with this as quickly as possible
3 hour 30 minutes : 36 minutes
1 hour = 60 minutes
3 hour = 3×60 minutes = 180 minutes
3hour 30 minutes = 180 minutes + 30 minutes
= 210 minutes
210 minutes : 60 minutes
3 hours 30 minutes : 60 minutes = 6:2
NO BULL SH*T REAAAAAAAL A F
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
4%
2%
1%
3%
helppp please i need this answered fast please :⊂
Answer:
dang good luck
Step-by-step explanation:
Which value is in the domain of f(x)? PLS help :)
Answer:
(c) 4
Step-by-step explanation:
Given
The piecewise function
Required
The value in f(x) domain
The domain of f(x) is:
[tex]-6 < x \le 0[/tex] and [tex]0 < x \le 4[/tex]
Combine both inequalities:
[tex]-6 < x \le 4[/tex]
List the values of the inequality
[tex]-6 < x \le 4 = \{-5,-4,-3,-2,-1,0,1,2,3,4\}[/tex]
From the list of given options
Only 4 is among the domain
Others are not
Find the value of x for which WXYZ must be a parallelogram.
Answer:
[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]
Eleni wants to make cookies with her mother. Her mom made 38 cookies. Eleni made 15 cookies. How many cookies did they both make together?
Answer:
53
Step-by-step explanation:
38+15 ?
Answer:
53
Step-by-step explanation:
This is very easy -
Mom's cookies + Eleni's cookies = total number of cookies
38 + 15 = total
38
+ 15
53 cookies total
Good Luck!
Hope this helps!
:)
G) Marcie's sugar cookie
recipe calls for 1/3 of a
cup of sugar. How much
sugar would she use to
make 6 batches of
cookies?
creative Scholars
Answer: 1/18
Step-by-step explanation: 1/3 x 6/1 ----> 1/3 x 1/6 = 1/18
Answer:
1/3 x 6
Step-by-step explanation:
times the numbers to get how much she needs.
what is the answer to this?
Answer:
37.14 units
Step-by-step explanation:
the whole circumference of a circle is 2×pi×r
a whole circle rotates 360 degrees (one time all around).
so, the length of the arc for a full trip (360 degrees) around a circle is the stated 2×pi×r.
now, if we go only for a part of that full trip angle, the arc is only the corresponding part of the circumference.
in our example here, r (radius) = QR = 19 units
and we only go along the circle for 112 degrees out of the full 360 (112 parts of the whole 360).
so the arc QS = 2×pi×19 × 112/360 = 37.14 units
I needddd helpppp
Which point is a representation of -(-3)???
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
50 POINTS!!!!!!!!!!!!!!!
28,45,12,34,36,45,19,20
Find the mean absolute deviation of this set of data. PLEASE PUT STEPS
Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Will mark Brainlest help please (find the value of x or theta) step by step
Answer:
Step-by-step explanation:
BC=[tex]\sqrt{5^2+5^2}[/tex]
x =[tex]\sqrt{50}[/tex]
x = 5[tex]\sqrt{2}[/tex]
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
Step-by-step explanation:
BC=\sqrt{5^2+5^2}52+52
x =\sqrt{50}50
x = 5\sqrt{2}2
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
A line of best fit predicts that when x equals 35, y will equal 34.785, but y
actually equals 37. What is the residual in this case?
O A. -2.215
O B. 2.215
O C. -0.215
O D. 0.215
Answer:
c
Step-by-step explanation:
c
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.
Answer:
1/25
Step-by-step explanation:
P of both answers are correct =
P first question is answered correct and P second question is answered correct
in probability, and = multiplication
P first question is answered correct =1 correct answer/5 possible answers =1/5
P second question is answered correct = 1/5
P of both answers are correct = (1/5) · (1/5) = 1/25
Help please I don’t understand
looks like something around 14, yet not quite sure
Please help due today
Answer:
55
Step-by-step explanation:
all of the angles in a triangle ALWAYS add up to 180 degrees.
do the math.
find the area of the shaded regions plzz asap ill give brainliest
Answer:
I think it is c
Step-by-step explanation:
Solve. Four times the sum of 2 and some number is - 8. What is the number?
Answer:
-4
Step-by-step explanation:
Let say other number is 'x'
Equation:-
4(2 + x) = -8
8 + 4x = -8
4x = - 16
x = - 16/4
x = - 4
