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: _____ °   


​

Answer:

width is 8, length is 12

Step-by-step explanation:

l = w+4

l x w= 96

4+w x w = 96

w^2 +4w -96 = 0

w+12 W -8

w = 8

The dimensions of the frame are 8 feet in width, 12 feet in length.

Given the data:

[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]

Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.

Read more about length and breadth here:

https://brainly.com/question/26759758

#SPJ6

Answer:

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year    

(0.47228 , 0.49868)

Step-by-step explanation:

Step(i):-

Given that the National Center for Health Statistics interviewed 5409 adult smokers in 2015

and 2626 of them said they had tried to quit smoking during the past year

proportion

                            [tex]P = \frac{x}{n} = \frac{2626}{5409} =0.48548[/tex]

                          Q = 1-P = 1 - 0.48548 = 0.5146

Step(ii):-

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year      

[tex](P - Z_{\alpha } \sqrt{\frac{PQ}{n} } , P+ Z_{\alpha } \sqrt{\frac{PQ}{n} } )[/tex]      

[tex](0.48548 - 1.96 \sqrt{\frac{0.48548 X 0.51452}{5409} } , 0.48548+ 1.96\sqrt{\frac{0.48548 X 0.51452}{5409} } )[/tex]

( 0.48548 - 0.0132 , 0.48548 +0.0132)

(0.47228 , 0.49868)

Final answer:-

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year    

(0.47228 , 0.49868)

Answer:

yxu and tux are the alternate interior angles

Step-by-step explanation:

you just go across and then the other side

so pretty much mirroring it twice

Answer:

the answer is A for both of the questions

Answer:

1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.

Answer:

B

Step-by-step explanation:

     A = P(1+i/n)^t

   5000 = P(1+0.03/(361.3/91)^1                 361.3   ???  it worked

          P = 5000/1.007556048

          P = $4962.50309  

    the 91 day T-bill confused by financial calculator  which got   $4962.78 for a quarterly compound interest rate

Answer:

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

Step-by-step explanation:

t= tickets (8.50)

d= drinks (3.50)

c= candy (3.00)

Answer:

i think it is $4.73

Step-by-step explanation:

Answer:

$3.73

Step-by-step explanation:

Notebook: $2.99

Pack of Erasers: $1.99

Add together to get the total amount before the coupon.

[tex]2.99 + 1.99 = 4.98[/tex]

Given 25% off coupon for the WHOLE ORDER. To make things easier, take 75% of 4.98.

[tex].75(4.98) = 3.735[/tex]

Or do the long way if you want.

[tex].25(4.98) = 1.245 = 1.25\\4.98 -1.25=3.73[/tex]

Answer:

A

Step-by-step explanation:

its a

Answer:

C) 2y = x + 4

Step-by-step explanation:

all other functions include x²

Answer:

4.1 in

Step-by-step explanation:

[tex]V=\pi r^{2}[/tex]

[tex]751=\pi r^{2}(10.7)[/tex] now we multiply pi and 10.71- i left it in the hundreths

place when i get my final answer ill round it to the tenths)

[tex]751=33.62r^{2}[/tex],  we need the [tex]r^{2}[/tex] alone so we now dive with 33. 62 on both sides, elimenating the 33.62. Now 751/ 33.62= 16.98.

now we square root it

[tex]\sqrt{16.98}[/tex] = 4.12 which rounded is 4.1

Answer:

solution given.:

radius=[r] let

height[h]=10.7in

volume[V] of cylinder=751 in³

π=3.14

we have

volume[V] of cylinder=πr²h

751=πr² ×10.7

r²=[tex] \frac{751}{10.7×3.14} [/tex]

r=[tex] \sqrt{22.353} [/tex]=4.73inch

so radius is 4.73in

Answer:

B

Step-by-step explanation:

The other guy was wrong

   (4, 8)

   (2, 11)

✔(8, 7)

   (3, 13)

the answer is on the picture

Answer:

[tex]20[/tex]

Step-by-step explanation:

[tex]12[/tex]²[tex]+16[/tex]²[tex]=400.[/tex]

[tex]\sqrt{400}[/tex][tex]=20[/tex]

Answer:

to me it's a simple solution

Step-by-step explanation:

Answer: C. 39 degrees

Step-by-step explanation: Hope this help :D

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

A 5

B 16

E 8

F 10

Step-by-step explanation:

Answer:

35.46

Step-by-step explanation:

34 x 1.043=35.46

Answer:

8 tablets

Step-by-step explanation:

t = # tablets she must sell

348 = 33t + 84

264 = 33t

t = 8

The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.

To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.

Let's denote the number of tablets sold as "x."

Given:

Earnings per day (base pay) = $84

Commission per tablet sold = $33

Desired earnings for the day = $348

The total earnings for the day can be calculated as follows:

Total earnings = Base pay + (Commission per tablet * Number of tablets sold)

Total earnings ≥ Desired earnings

Setting up the inequality:

$84 + ($33 * x) ≥ $348

Simplifying the inequality:

$84 + $33x ≥ $348

Now, let's solve for x:

$33x ≥ $348 - $84

$33x ≥ $264

Dividing both sides of the inequality by $33 (the coefficient of x):

x ≥ $264 / $33

x ≥ 8

Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.

To know more about  "inequality."  here

https://brainly.com/question/25944814

#SPJ2

If ur trying to find the rate its 12.7252%

Step-by-step explanation:

apple presents stop motion studios?

Answer:

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

And a cube faces 1 to 3:

Probability of the two events above:

Answer:

D, 525

Step-by-step explanation:

1) Find what percent 45 is out of 150

45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%

2) Find 30% of 1,750

1,750 x 0.3 = 525

Answer= D

Answer:

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Answer:

1. 160cm²

2. 176.25cm²

3. 33.75ft²

Step-by-step explanation:

Area triangle = (1/2)(base)(height)

1)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(8)(9))+2(0.5(8)(11))

=72+88=160cm²

2)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))

= 56.25 + 120 = 176.25cm²

3)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))

= 11.25+22.5 = 33.75ft²

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.