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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Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

Answer:

[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]

Step-by-step explanation:

Use coordinates (2,1) and 3,10

The exponential equation is

[tex]y = a \times b {}^{x} [/tex]

Plug in the x and y values.xfor both functions of coordinates.

[tex]1 = a \times b {}^{2} [/tex]

[tex]10 = a \times b {}^{3} [/tex]

Divide the equation with the larger exponet by the other equation.

[tex]10 = b[/tex]

Substitute that in for one of the equations.

[tex]10 = a \times 10 {}^{3} [/tex]

Solve for a.

[tex]10 = a \times 1000[/tex]

[tex] \frac{1}{100} = a[/tex]

So our exponetial equation is

[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]

Answer:

Exact Form:

17/15

Decimal Form:

1.1333333.....

Mixed Number Form:

1 2/15

Answer:

17 / 15

Step-by-step explanation:

LCM of 3 and 5 is 15.

4 / 5

= ( 4 / 5 ) x ( 3 / 3 )

= 12 / 15

1 / 3

= ( 1 / 3 ) x ( 5 / 5 )

= 5 / 15

( 4 / 5 ) + ( 1 / 3 )

= ( 12 / 15 ) + ( 5 / 15 )

= ( 12 + 5 ) / 15

= 17 / 15

Answer:

f(6) = -22, and g(-3) = 49

Step-by-step explanation:

f(x) = -4x + 2

f(6) = -4(6) + 2

f(6) = -24 + 2

f(6) = -22

I assume the 3 in g(x) = -2x3 -5 is cubed

g(-3) = -2(-3)^3 - 5

g(-3) = -2(-27) - 5

g(-3) = 54 - 5

g(-3) = 49

Answer:

Step-by-step explanation:

a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.

Answer:

There is already another answer:

line graph or bar graph because it shows you what day of the week you sell more lemonade.

Step-by-step explanation:

Answer:

12 options

Step-by-step explanation:

Blue

Blue and Lion

Blue and Bear

Blue and Porpoise

Black

Black and Lion

Black and Bear

Black and Porpoise

Brown

Brown and Lion

Brown and Bear

Brown and Porpoise

Grey

Grey and Lion

Grey and Bear

Grey and Porpoise

There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from

Answer:

4521.6

Step-by-step explanation:

pi*r^2*h = pi*144*10 = 1440 pi which is roughly 4521.6

Answer:

979.68

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

you think about the way you would normally solve it but a bit backwards therefore multiply 36x29 and that equals 1,044 and divide that from 7,830 and thats 7.5 multiply to check

Answer:

Step-by-step explanation:

Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:

0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:

0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.

Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.

Answer:

x<(with a line underneath)-1

Step-by-step explanation:

10-2x>(with a line underneath)12

-10 -10

-2x>(with a line underneath)2

/-2 /-2

x<(with a line underneath)-1

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

Answer:B

Step-by-step explanation:because you need to add

Answer:

D

Step-by-step explanation:

your welcome!!!!!!! :D :)

Answer:

5:3

Step-by-step explanation:

step one: reduce the fraction

(since 5/3 is a reduced as it can get we can 'skip' this step)

step two: rewrite as a ratio

5/3  

=5 : 3

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

D. 225

Step-by-step explanation:

Step-by-step explanation:

The Circumference is:

[tex]c = 2\pi \: r[/tex]

Radius r is:

[tex]r = \frac{d}{2} [/tex]

So,

[tex]c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm[/tex]

Answer:

The first choice

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

supplementary angles have sum of 180

Answer:

[tex]h(g(t))=8t+8[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]h(t)=2t-2\text{ and } g(t)=4t+5[/tex]

And we want to find:

[tex]h(g(t))[/tex]

So, by substitution, we acquire:

[tex]h(g(t))=2(4t+5)-2[/tex]

Distribute:

[tex]h(g(t))=8t+10-2[/tex]

Simplify:

[tex]h(g(t))=8t+8[/tex]

Answer:

1/12 square foot

Step-by-step explanation:

Area of the pattern = LEngth * Width

Given the following

Length = 1/2 foot

Width = 1/6 foot

Area of the pattern = 1/2 * 1/6

Area of the pattern  =1/12 square foot

Hence the area that the decorative pattern will cover will be 1/12 square foot

Answer:

[tex]\frac{8}{27}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}[/tex]

Answer:

no

Step-by-step explanation:

1 bagel $1.50     ---------> unit cost: $1.50/bagel

2 bagels $2.25

6 bagels $6.50

12 bagels $12    ---------> unit cost: $1/bagel

Since the unit costs are not equal, the prices are not proportional.

Answer:

900

Step-by-step explanation:

135/7.5= x/50

cross multiply

7.5x=6750

x=900