A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the DIRECTION of the car's
resultant vector.
Answers
Answer:
Ifa,bandcare the
sides opposite to anglesA,B,&C.
By Cosine Rule,
b
2
=32
2
+46
2
−(2×32×46cos140°)
b
2
=1024+2116−2944cos140°
b
2
=3140−2944cos140°
b
2
=3140+2255.234841
b
2
=5395.234841
b=73.45
By Sine Rule,
sinC
32
=
sin140°
73.45
sinC=
73.45
32sin140°
sinC=0.2800
C=16.26°
The direction of the resultant
vector is measured from0°east
to the resultant, this angle isθ−90°,
90°is the total angle in
the first quadrant.
∴θ−90°=C+ϕ
ϕ=50°{Alternate angles are equal}
∴The direction of the car’s
resultant vector is50°+16.26°=66.26°south of east
Step-by-step explanation:
Related Questions
Which sequence is an example of an arithmetic sequence? A) –8, –4, –2, –1, . . . B) –4, –2, 0, 2, 4, . . . C) –1, –7, –49, –343, . . . D) 2, 4, 8, 16, 32, . . .
i dont have the membership.
Answers
Answer:
Answer- D)2,4,8,16,32, . . .
Answer:
b. -4,-2,0,2,4,...
Step-by-step explanation:
I am desperate please help.
Answers
Answer:
63.69 meters
Step-by-step explanation:
the total perimeter of two identical semi-circular = 100+100 = 200m
d = p/π = 200/3.14 = 63.69
What is the mode of the data set shown below?
{2, 4, 5, 6, 8, 2, 5, 6}
A. 2
B. 5
C. 6
D. 2, 5, and 6
Answers
Answer:
D
Step-by-step explanation:
The mode is the value that appears most often in the number set for this set the most common numbers are 2, 5, and 6.
Answer:
d
Step-by-step explanation:
all show up 2 times
Can someone help asap!!?
Answers
Answer:
1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4
Step-by-step explanation:
1.
A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.
2.
A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.
3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.
4 and 5:
To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.
4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9
5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.
Express 240g as a percentage of 2.5kg
Answers
Answer:
0.1%
Step-by-step explanation:
Given that 240 g of 2.5 kg
We have to express this in percentage
But we know that 1 kg = 1000 g, So first convert 2.5 kg to g
2.5 kg = 2.5 x 1000 g = 2500 g
The formula of "a" % of "b" is given as:
[tex]percentage= \frac{a}{b}[/tex] × 100
Hence, 240 g as a percentage of 2500 g is given as:
[tex]= \frac{250}{2500}[/tex] × [tex]100[/tex]
= [tex]\frac{1}{10}[/tex] = 0.1
Thus, the answer is 0.1 %
simplify 15 to the power of 18 over 15 to the power of 3
Answers
Answer:
15^18/(15^3)=15^15
Step-by-step explanation:
rule for quotients of similar bases with different exponents is:
(a^c)/(a^b)=a^(c-b)
15^18/(15^3)=15^15
please help me solve this
Answers
Answer:
(0, 3), (4, -5)Step-by-step explanation:
y = x² - 6x + 3y = -2x + 3Solve by substitution:
x² - 6x + 3 = -2x + 3x² - 4x = 0x(x - 4) = 0x = 0 ⇒ y = -2*0 + 3 = 3x = 4 ⇒ y = -2*4 + 3 = -5find the coordinate for the mid point of the segment with the points given (-16,0)(0,-16)
(-8,-8)
(8,0)
(8,8)
Answers
Answer:
(-8,-8)
Step-by-step explanation:
Coordinates of a midpoint:
The coordinates of the midpoint of a segment is given by the mean of the coordinates of the endpoints.
In this question:
Endpoints (-16,0) and (0,-16).
x-coordinate:
[tex]\frac{-16+0}{2} = -8[/tex]
y-coordinate:
[tex]\frac{0-16}{2} = -8[/tex]
Then:
(-8,-8)
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answers
Answer: -1
Step-by-step explanation:
Just took the test
,and the equation is y=-1x+5, so the change of x is -1
Answer:
The answer is -1
Step-by-step explanation:
What is the solution of the equation, 8y = 4?
A. y = 1/2
B. y = 2
c. y = 12
D. y = 32
Answers
Answer: A, which is y = 1/2
Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)
Answer:
y = 1/2
Step-by-step explanation:
8y = 4
Divide each side by 8
8y/8 = 4/8
y = 1/2
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
A special effects engineer is designing a model of an airplane for some shots in a movie.The wingspan of the model is 8.4 meters wide as shown below. If the scale used to create the model was 1/4 the actual wingspan; what was the true wingspan of the oringal plane?
Answers
Answer:
33.6 meters
Step-by-step explanation:
the wingspan is 1/4 of the original size so all you need to do is multiply the scaled down wingspan by 4
what is the actual standard deviation for 68,68,68,68,68 133,133,133,133,133,
Answers
Answer: 21380.573997076
Step-by-step explanation:
Help me fast 50 points!!!!!!!!
Answers
Answer:
30
Step-by-step explanation:
There are 14 data points on the plot
The median is the middle value, which is between the 7th and 8th data points
Since it is even, we find the average of the 7th and 8th data points
Add the 7th and 8Th data points values and divide by 2
( 30+30)/2 = 60/2 = 30
The median is 30
Answer:
30
Step-by-step explanation:
Middle numbers are 30 and 30 so you add them and then divide by two:
[tex]\frac{30 + 30}{2}[/tex] = [tex]\frac{60}{2}[/tex]= 30
how do i solve this problem
Answers
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
What is the range of function g?
g(x) = /x-1+2
A. y > 1
B. y > 2
C. y <2
D. y <1
Answers
Answer:
Option B
Step-by-step explanation:
Equation of the function is,
[tex]g(x)=\sqrt{x-1}+2[/tex]
Parent function of the given function 'g' is,
[tex]h(x)=\sqrt{x}[/tex]
By translating the parent function 'h' n=by 1 unit horizontally left and 2 units upwards we get the function 'g'.
That means function 'g' starts from a point (1, 2).
Range of the function 'g' will be all the values of y ≥ 2.
Option B is the answer.
Answer:
Range of the function 'g' will be all the values of y ≥ 2.
Step-by-step explanation:
Multiple Select
Although there are many more, choose THREE reasons the U.S. government is strongly encouraging Sl to be used at all levels of
education.
students educated to use the metric system will be able to excel in the global marketplace
using the metric system helps students be more creative
the mandatory conversion from U.S. measurements to metric is official in 2020
the metric system is simpler for students to learn
education in math and science will become more efficient
Answers
Answer:
watts
Step-by-step explanation:
Answers:
students educated to use the metric system will be able to excel in the global marketplaceeducation in math and science will become more efficientthe metric system is simpler for students to learnJeff can build 7 birdhouses in 5 hours. Use a
proportion to find out how long it would take
him to build 30 birdhouses. (Round answer to
nearest whole number)
Answers
Answer:
21 hours
Step-by-step explanation:
We can use a ratio to solve
7 houses 30 houses
------------- = --------------
5 hours x hours
Using cross products
7x = 5*30
7x = 150
Divide by 7
7x/7 =150/7
x =21.42857143
Rounding to the nearest whole number
x = 21 hours
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
Answers
help me plz i really need it
Answers
Answer:
all lengths of Andrew's copy must be twice as large as the Jada's original
all angles need to be the same.
I don't see the original anywhere, but I hope the instructions will help you
Answer:
https://access.openupresources.org/curricula/our6-8math/en/grade-7/unit-1/lesson-3/index.html
Step-by-step explanation:
Should answer all your questions. This is a reliable link. No viruses I use this site.
Please I need help in finding the diameter
Answers
Answer:
im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo
Step-by-step explanation:
The sky ride at an amusement park spans 2,715 feet. Over the course of the day,
Anna rode the sky ride 7 times. How many feet did she ride?
A. 14,025 feet
B. 15,500 feet
C. 19,005 feet
D. 21,000 feet
Whoever answers this then there gonna get Branliest
Answers
Answer:
C. 19,005 feet
Step-by-step explanation:
[tex] \begin{array}{ccc} \rm 1 \: time \: ride \implies \: 2175 \: feet\\ \rm 7 \: times \: ride \implies 2175 \times 7 = 19005 \: feet\end{array}[/tex]
hence,
our answer is C)
Answer:
Solution given:
1times ride[tex]\rightarrow: [/tex]2715ft
7 times ride[tex]\rightarrow:[/tex]2715*7=19005ft
Option C 15,500 feet
Please help it’s not hard
Answers
Answer:
H
Step-by-step explanation:
y= (1)x-3
Positive gradient, and the y intercept for the graph is -3, F is not the answer, the Y intercept is not -3.
What is distributive property in math?
Answers
Answer:
The distributive property is one of the most frequently used properties in math. The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
distributive property is multiplying a number by a sum is the same as doing each multiplication separately.
for example: 2 (4 + 3 )
2 x 4 = 8
2 x 3=6
8+6=14
Plzzz help I don’t have a lot of time
Answers
Answer:
7
Step-by-step explanation:
It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.
(8r-6)+(5r+5)=90
13r-1=90 (combine like terms)
13r-1+1=90+1 (add 1, addition property of equality)
13r=91
13r/13=91/13
r=7
Which of the following illustrates the truth value of the given conditional statement?
p. 10 > 7
q. 10 > 5
p-~q
Answers
Answer:
T T → T
Step-by-step explanation:
Given :
p = 10 > 7
q = 10 > 5
Evaluating if the statements are true :
p = 10 > 7, This is TRUE, Because 10 is truly greater Than 7
q = 10 > 5, This is TRUE, Because 10 is truly greater Than 5
The statements are both True statements :
p = True ; q = True
True and True = True
T & T = T
T T → T
The triangles shown below may not be congruent.
25
56
100
1000
850
O A. True
O B. False
Answers
Answer:
B. False
Step-by-step explanation:
The two triangles have the same size and the same shape so they are congruent. The three angles on both the triangles are equal. Just that the triangles are upside down but they are all the same.
Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6
Answers
Answer:
D is the answer to your question
I need help finding the answer. Would appreciate some help
Answers
Answer:
a = 153.5 yd²
Step-by-step explanation:
horizontally divide the figure into a tringle and a trapezoid
triangle
a = (1/2)bh
a = (1/2)(19)(7)
a = 66.5
trapezoid
a = (b₁ + b₂)/2 * h
a = (19 + 10)/2 * (13 - 7)
a = 87
Combined
a = 66.5 + 87
a = 153.5
In a group of 55 examinees taking the 50-item test, Rachel obtained the score of 38. This implies that her score is...
Answers
Answer:
she scored 76 percent in the test
what that two numbers when multiplied give 600 and when added give 59
Answers
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]
Then we could plug the answers in and find x because x = 59 - y
