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 1

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:

A Car Travels 32 Km Due North Andthen 46 Km In A Direction 40 West Ofnorth. Find The DIRECTION Of The

Related Questions

please help me solve this ​

Answers

Answer:

(0, 3), (4, -5)

Step-by-step explanation:

y = x² - 6x + 3y = -2x + 3

Solve by substitution:

x² - 6x + 3 = -2x + 3x² - 4x = 0x(x - 4) = 0x = 0y = -2*0 + 3 = 3x = 4y = -2*4 + 3 = -5

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

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.

find 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)

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:

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

hey k c , do you still need help ?

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.

Jeff 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

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:

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

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

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

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:

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

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 %

The answer to your question is 0.1%

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

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

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

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:

I need help finding the answer. Would appreciate some help

Answers

I hope this helps so the first one should be right

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

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:

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.

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 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

               

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

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

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

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

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 learn
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