Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

Since both shapes are similar, then:

[tex]LM : KN = RV : SP[/tex]

This gives:

[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]

As fraction:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]

Simplify:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]

Cross Multiply:

[tex]5(4x + 4) = 4(7x - 9)[/tex]

[tex]20x + 20 = 28x - 36[/tex]

Collect Like Terms

[tex]28x - 20x = 20 + 36[/tex]

[tex]8x = 56[/tex]

[tex]x = 7[/tex]

Answer:

(-,+)

Step-by-step explanation:

Q2 is on the top left, with answer in form of (x,y). Top right is Q1, bottom left is Q3, and bottom right is Q4.

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

1. Reference angle = 70°

Adjacent side = x

Hypotenuse = 6 cm

Apply CAH. Thus,

Cos 70 = adj/hyp

Cos 70 = x/6

6 × cos 70 = x

2.05 = x

x = 2.05 cm

2. Reference angle = 45°

Adjacent side = x

Hypotenuse = 1.3 m

Applying CAH, we would have the following ratio:

Cos 45 = adj/hyp

Cos 45 = x/1.3

1.3 × cos 45 = x

0.92 = x

x = 0.92 m

3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.

Answer:

-x+6< 5

there is a line under the less than symbol

Step-by-step explanation:

The mathematical expression is;

⇒ - x + 6 ≤ 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic expression is,

''The sum of the opposite of a number and six is less than or equal to

five.​''

Now,

Let a number = x

The, The opposite of a number = - x

So, We can formulate;

⇒ - x + 6 ≤ 5

Thus, The mathematical expression is;

⇒ - x + 6 ≤ 5

Learn more about the inequality visit:

https://brainly.com/question/23945265

#SPJ2

Answer:12 is a common denominator!

Step-by-step explanation:

Answer:

so the equation is y=-2x-4

Step-by-step explanation:

sub the points in the equation to find the y-intercept

y=x(-2)+b

0=-2(-2)+b

0=4+b

0-4=b

-4=b

Answer:

26.4594

Step-by-step explanation:

I mean im not sure i can teach you addition

Answer:

-0.3048106211

Answer:

The exterior angles of a triangle will always add up to be 360. Since there are 2 angles 100 and 135, that's a total of 235. You would then subtract 360 - 235 which is 125.

y = 125

Answer:

16

Step-by-step explanation:

[tex](\frac{2}{3} )*24=16[/tex]

Answer:

a (6,-3)

b (9,0)

c (5,1)

Step-by-step explanation:

Answer:

[tex]\boxed{\textsf{ The number of children is \textbf{24150}.}}[/tex]

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

[tex]\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% . [/tex]

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

[tex]\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}[/tex]

[tex]\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}[/tex]

[tex]\rule{200}2[/tex]

The percentage of children = 15% :-

[tex]\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}[/tex]

Answer:20

Step-by-step explanation: If you have a calculator its easy

Answer:

28.5% or you can divide to get your answer

Step-by-step explanation:

so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%

Answer:

86.60 units²

Step-by-step explanation:

It’s composed of two equilateral triangles (60-60-60).

(10√3)/2=8.66 (the height of each triangle

area = 1/2bh

1/2(10)(8.66)=43.30127

43.30127x2=86.60254

Answer:

[tex]468 {in}^{2} [/tex]

Step-by-step explanation:

see attached image, surface area is the area of each surface added together

Answer: -4≤x≤6 (3rd option)

Step-by-step explanation:

Domain basically means the farthest x values going left and right on a graph. in this case x could be between -4 and 6 as well as equal to both -4 and 6

Answer:

Step-by-step explanation:

When you look at the equation, you can tell that it's asking for the difference of a number and 32. Add together 65 and 32 to get 97.

Answer:

75% = 0.75

Step-by-step explanation:

75% ÷ 100 = 0.75

Answer:

.75

Step-by-step explanation:

75.% you move the the point 2 spaces to the front and get .75

Answer: .5%

Step-by-step explanation: 4/804 reduces to 1/201, which is 0.5%

Answer:

Rs 57750

Step-by-step explanation:

width =5 m

length of first parallel road 70 m

area of first road 70×5=350 sq.m

length of second road 45 m

area of second road =45×5=225 sq.m

area of the common part of cross road with 5 m width that lies at the

center of the park 5×5 = 225 sq.m

area of roads = area of first road +area of second cross road−common area

=(350+225)−25

=575−25

=550sqm

​

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750

Answer:

y=-3x+7

Step-by-step explanation:

m=gradient=-3

Answer:

A) 3 x 6 = 18 in^2

B) 11 x 8 x 0.5 = 44 in^2

C) 18 + 44 = 62 in^2

Answer:

Division

Step-by-step explanation:

You divide f by x and since you have to do the same thing you did to f on the other side you divide zx by x which also cancels out x on both sides. which would leave you with f = z + 7. (I'm sorry if i'm wrong)

Answer:

one tenths and one thousandths

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+s=14

a=14-s

a+8s=56, using a from above in this equation gives

14-s+8s=56

14+7s=56

7s=42

s=6

a=14-s

a=14-6=8

So student tickets cost $6 and adult tickets cost $8.

Answer:

D. 8 cm

Step-by-step explanation:

Reference angle = 60°

Opposite side = BC = 8√3

Adjacent side = AC = ?

Thus:

Tan (60) = opp/adj

Tan (60) = (8√3)/AC

AC*Tan(60) = 8√3

Divide both sides by tan (60)

AC = (8√3)/Tan(60)

AC = (8√3)/√3 (tan 60 = √3)

AC = 8 cm

Answer:

I think its flat sorry if it's wrong