A heavy piece of equipment has wheels on one side and legs on the other as shown in the diagram below.

Two people are trying to move the equipment. Each person grabs a handle and begins to lift. The first person imparts an upward force of 300 N and the second person imparts an upward force of 290 N. This is enough to lift the side of the equipment, but they also need to get it moving.
While maintaining the upward forces, the first person imparts a horizontal force of 185 N and the second person a horizontal force of 205 N. They maintain these forces while the equipment begins to move.

What is the total force in the horizontal direction?
____ N   

What is the total force in the upward direction?
____ N   

Determine the magnitude and direction of this resultant vector (the resultant vector from combining the forces of the two people).

Magnitude: ____ N   

Direction: _____ °   


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28-3=25

so 25/5=5

she is 5 year old

Answer: I think it's 40

Step-by-step explanation:

I don't know, I just need points. If you take the 640 and divide it by the nearest angular velocity, then square it, then divide by the radius, you get Bolivia

Answer:

42

Step-by-step explanation:

60% of 70 is 42

The value of h -j is -5.

We have the function, f(x) = x² -4x + 8

Now, vertex

h = x = -b/2a

h = x = -(-4) / (-2)

h = x = -4/2

h= x = -2

Now, according to the graph

j = x= 3

So, h - j

= -2 - 3

= -5

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Answer:

hi

Step-by-step explanation:

[tex]7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2[/tex]

i think so

hope it helps

have a nice day

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{7}{80} =\frac{x}{64}[/tex]   Set up the proportion

[tex]7(64)=x(80)[/tex]  Cross multiply

[tex]448=80x[/tex]     Simplify

[tex]\frac{448}{80}=\frac{80x}{80}[/tex]    Divide both sides by 80

[tex]5.6=x[/tex]

Answer:

-25, 5

Step-by-step explanation:

-22 + -25 = -47

-25/5 minutes = -5

since there is no -5 in speed, then the answer is 5

The difference in speed of the two cars is 72-60 = 12 km per hour.

The time they would be 8 km apart would be 8/12 = 2/3 of an hour

1 hour = 60 minutes

60 minutes x 2/3 = 40 minutes.

The cars will be 8 km apart in 40 minutes.

Answer:

After 40 min they will be 8km apart

Step-by-step explanation:

Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min

Answer:

A) x + 65 = 180

B) x = z

C) y = 65

Step-by-step explanation:

The Distance between the motorcycles is 35.3 km

Pythagoras theorem shows the relationship between sides in a right angled triangle.

The distance moved north, distance moved west and the distance between the motorcycles form a right angled triangle.

distance between the motorcycles² = distance moved north² + distance moved north²

Distance between the motorcycles² = 15² + 32²

Distance between the motorcycles² = 1249

Distance between the motorcycles = 35.3 km

Hence the Distance between the motorcycles is 35.3 km

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Answer:

mcm= 210

Step-by-step explanation:

We decompose into its prime factors

42- 70 | 2

21 - 35 | 3

7 - 35 | 5

7 - 7 | 7

1 - 1

mcm= 210

Greetings!

Answer:

15: Yes, no, yes, yes, no; 16A: C = ($0.29)X + ($1.45)Y + ($2.50)Z; 16B: Yes

Step-by-step explanation:

For question 15: We need to multiply the widths and lengths given to see if they equal the area we are trying to achieve. Therefore, some of them work, and some do not.

For question 16:

Part A: We'll set a variable for the number of each supply she can buy. Pencils will be represented by X, pens by Y and Notebooks by Z, and we'll represent total cost by C. The total cost will therefore be represented by C = ($0.29)X + ($1.45)Y + ($2.50)Z.

Part B: We'll plug the numbers of items she wants to buy into our formula and see if it comes out to less than $20. So in this case C = ($0.29)(3) + ($1.45)(4) + ($2.50)(2). Therefore, C = $11.67, which is less than $20, so she can afford her school supplies.

Answer:

This answer is A

Step-by-step explanation:

your welcome, im fast to answer

Answer:

the answer is a

Step-by-step explanation:

Answer:

Obtuse

Step-by-step explanation:

Since 150°>90°, it is an obtuse angle

Answer: D

Step-by-step explanation:

Fits the definition

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

Answer:

H0 : μ = 120

H1 : μ < 120

We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.

Step-by-step explanation:

Average Number of infants who contracted typhoid monthly = 120

Average Number of infants who contracted typhoid monthly after well installation = 90

The null and alternative hypothesis :

H0 : μ = 120

H1 : μ < 120

Obtain the test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(90 - 120) ÷ 40/sqrt(9)

-30 ÷ 13.3333

= - 2.25

The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8

Tcritical at 95%, df = 8 ; one tailed = 0.02728

Decision region :

Pvalue < α ; Reject H0

0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.

Answer:

6 1/5

Step-by-step explanation:

Answer:

[tex]x\le \:5[/tex]

12≥ 2​(1+x)

Switch sides

2(1+x)≤ 12

Divide both sides by 2

2(1+x)2 ≤122

Simplify

1+x≤ 6

Subtract 1 from both sides

1+x−1≤ 6−1

Simplify

[tex]x\le \:5[/tex]

Answer:

49%

Step-by-step explanation:

First find how much Alice is paying for the all three service currently.

Amount paid by Alice at present= 59 +  49 + 69 = $ 177

If she switches to 90 NOW plan, then the amount saved = 177 - 90 = $ 87

Percentage of savings = (saved amount ÷ total amount she was paying at present) * 100

          [tex]= \frac{87}{177}* 100\\\\= 49.15[/tex]

          = 49 %

Answer:

Step-by-step explanation:

Answer:

cosβ

Step-by-step explanation:

cot(β+π)sinβ

cot(x)=cos(x)/sin(x), so we can rewrite our expression as:

(cos(β+π)/sin(β+π)) * sinβ

sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:

(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)

cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:

(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)

cosπ=-1 and sinπ=0, so we can rewrite our expression as:

(-cosβ)/(-sinβ) * sin(β)

(-cosβ)/(-sinβ) * sin(β)

=(cosβ/sinβ)(sinβ)

=cosβ

Answer:

    c.5 is correct

Step-by-step explanation:

7t+2=t+32

shift similar terms  on one side

7t-t=32-2

6t=30

t=30/6

t=5

Answer:

-12 and -1

Step-by-step explanation:

(-12)+ (-1)= -13

and -12x-1=12. as - x -=+ (minus x minus=plus)

Answer:-1 and -12

Step-by-step explanation:

-12*-1= 12

-12+(-1)=-13

Answer:

45 degrees.

Step-by-step explanation:

When two angles are next to each other along a straight line, their sum = 180 degrees.

180 - 135 = 45

Answer:

I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Step-by-step explanation:

Answer:

DO U KNOW HOW TO GET MORE POINTS?

Step-by-step explanation:

Answer:

3/18 foot³

Step-by-step explanation:

okay, so the formula for volume is height x base, which is real confusing, but lets go:

first, you have to figure out the base, which is the surface that's on the bottom:

1/2 x 1/2 = 1/4

so you then multiply that by how high the figure is:

1/4 x 3/4 = 3/16

So your answer is option D. 3/18 cubic foot

hope this helps:)