The resultant of two forces acting at a point at right angles to each other is 240 pounds. Determine the horizontal force makes an angle of 56° with the resultant.​

Answer:b

Step-by-step explanation:

Answer:

-27

Hope this helped in anyway

Answer:

the answer to this is -27.

Answer: 16%

Step-by-step explanation:

Notice that 154 minutes is one standard deviation greater than the mean. Based on the empirical rule 68% of the finishing times are within one standard deviation of the mean, so 100%-68%=32% of the finishing times are outside of one standard deviation from the mean one either direction. Since the normal distribution is symmetric , half of the 32% will be less than the mean and half will be greater, so 16% of the finishing times are greater than the one standard deviation more than the mean.

The probability that race participant had a finishing time of greater than 154 minutes is 16%

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 143, standard deviation σ = 11

The probability that race participant had a finishing time of greater than 154 minutes is 16% [(100% - 68%)/2]

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Answer:

sum = n (n+1)

Step-by-step explanation:

Let S = sum

Gauss's approach

S = 2     + 4        + 6    + ...  + 2n -4  + 2n-2  +  2n

S = 2n + 2n-2 + 2n-4  +  ... +  6         + 4         + 2

add both equations term by term in order

2S = 2n+2  +  2n+2  + 2n+2 ..... (n times

therefore

S = n(n+1)

check:

n = 1,  S = 1(1+1) = 2   [= 2]

n = 2,  S = 2(2+1) = 6   [= 2+4]

...

checks

Gauss's approach was introduced by Carl Friedrich Gauss according to legend, while he was in primary school

The sum of 2 + 4 + 6 +...+ 2·n is n·(n + 1)

The reason the above expression is correct is as follows:

The required numbers to sum are;

Sum 2 to 2·n

The Gauss's approach involves the adding of the first and last and summing the result as follows:

2 × (2 + 4 + ... + 2·n) = (2·n + 2) + (2·n - 2 + 4) + (2·n - 4 + 6)+...+ (2 + 2·n)

Therefore, we have;

2 × (2 + 4 + ... + 2·n)  = n × (2·n + 2)

(2 + 4 + ... + 2·n)  = n × (2·n + 2)/2 = n·(n + 1)

The expression n × (2·n + 2)/2 = (n/2) × (2·n + 2) = (n/2) × (2 + 2·n)

(n/2) × (2 + 2·n) = (number of terms)/2 × (First + Last term)

Number of terms = n

First term = a₁

Last term = a₂

Sum of terms, Sₙ = (n/2) × (a₁ + aₙ) general form by Gauss's approach

Therefore;

The sum of 2 + 4 + 6 +...+ 2·n using the Gauss's approach is therefore;

(2 + 4 + ... + 2·n)  = n·(n + 1)

Learn more about Gauss's approach here:

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Answer:

1,6 ,15,20,15,6,1

Step-by-step explanation:

The trick here is that the expansion are the

numbers in pascal triangle

1

1,1

1,2,1

1,3,3,1

1,4,6,41,

1,5 ,10, 10, 5, 1

1,6 ,15,20,15,6,1

Answer:

1, 6, 15, 20,15, 6, 1,

Step-by-step explanation:

The Coefficients ; (x + y)^6

The coefficients can be obtained as follows :

6C0 ; 6C1 ; 6C2 ; 6C3 ; 6C4 ; 6C25 ; 6C26

nCr = n! ÷ (n-r)! r!

Using calculator to get the direct values :

We have :

1, 6, 15, 20,15, 6, 1,

Answer:

0

Step-by-step explanation:

The slope is 0 as there is no x variable within the equation.

recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.

to graph this simply draw a horizontl line that crosses (0,3).

Answer:

155 + [tex]x^{3}[/tex] + 14

Step-by-step explanation:

The variable x would represent the number/value we don't know, and in this case, we don't know what number is raised to the third power. This being said, x would represent that number.

The question, although worded a bit confusingly, asks to add 155, the number (x) to the exponent of 3, and 14. Mathematically, this would be 155 + [tex]x^{3}[/tex] + 14.

Answer:

the latter is ten meters long

Step-by-step explanation:

its just ten meters long

Answer:

30 : 11

Step-by-step explanation:

Length : Width

    7.50 :  2. 75

    750  : 275

30 x 25 : 11 x 25

       30 : 11

Answer:

SAS, SSS,AAS, or ASA

Step-by-step explanation:

pretty much learned it in middle school, so this would not be college math

Answer:The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

Step-by-step explanation:

Answer:

boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security

Answer:

x=8                     x=-2

Step-by-step explanation:

|x-3| -10=-5

Add 10 to each side

|x-3| -10+10=-5+10

|x-3| =5

Now separate into two equations , one positive and one negative

x-3 = 5           x-3 = -5

Add 3 to each side

x-3+3 = 5+3    x-3+3 = -5 +3

x=8                     x=-2

Answer:

x = ± 8

Step-by-step explanation:

|x - 3| - 10 = - 5

|x - 3| - 10 + 10 = - 5 + 10

|x - 3| = 5

x - 3 = 5      

x - 3 + 3 = 5 + 3

x + 3 = - 5

x + 3 - 3 = - 5 - 3

x = - 8

Answer:

it is a process of produce

Answer:

91 degree

Step-by-step explanation:

Since opposite sides are parallel, the figure is a parallelogram

In a parallelogram, adjacent sides are supplementary, i.e, equal to 180.

89 + <DAB = 180

<DAB = 180-89

<DAB = 91

Hope u understand

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Answer:

[tex]Area= 37193\ cm^2[/tex]

Step-by-step explanation:

Given

[tex]q = 590cm[/tex]

[tex]r = 310cm[/tex]

[tex]\angle P =24^o[/tex]

Required

The area of [tex]\triangle PQR[/tex]

This is calculated as:

[tex]Area= \frac{1}{2} * qr* \sin(P)[/tex]

So, we have:

[tex]Area= \frac{1}{2} * 590cm * 310cm* \sin(24^o)[/tex]

[tex]Area= \frac{1}{2} * 590cm * 310cm* 0.4067[/tex]

[tex]Area= 37192.715cm^2[/tex]

[tex]Area= 37193\ cm^2[/tex] ----- approximated

Math makes everything easier without math people would be sitting there all day wondering about simple things like money and how many eggs are in a carton

Answer:

An x-intercept of 2 implies

(

2

,

0

)

is a point on the line

A y-intercept of 4 implies

(

0

,

4

)

is a point on a line

The slope of the line joining

(

2

,

0

)

and

(

0

,

4

)

is

#(Delta y)/(Delta x) = (4-0)/(0-2) = -2

Using the slope-intercept form of the equation

y

=

m

x

+

b

where

m

is the slope and

b

is the y-intercept

we have

y

=

−

2

x

+

4

Answer:

Please rephrase the question.

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

4 - (7 x 4 x -3) + -3

4 - (28 x -3) -3

4 - (-84) -3

88 - 3

85

Answer:

75.36 cubic units

Step-by-step explanation:

The volume of a cylinder is [tex]V=\pi r^{2}h[/tex] where [tex]V[/tex] is the volume of the cylinder, [tex]r[/tex] is the radius of the cylinder's base, and [tex]h[/tex] is the height of the cylinder. This problem requires that we use 3.14 for the constant [tex]\pi[/tex].

With the given information, this means that the volume of the cylinder is:

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

[tex]V=3.14(2)^{2}(6)[/tex]

[tex]V=3.14(4)(6)[/tex]

[tex]V=3.14(24)[/tex]

[tex]V=75.36[/tex]

Therefore, the volume of the cylinder is 75.36 cubic units

4 and 0 has the same place value and face value.

Hope this is helpful :)

Answer:

0 and 4 are the digit which have same place and face value.

Answer:

x = 142/83

y = 111/83

z = 452/83

Answer:

I think the ans is option 'a'

Final Answer:

Corresponding Angles Theorum; ∠AGF and ∠EHD are congruent

Answer:

55 cm

Step-by-step explanation:

[tex]\frac{22}{8} =\frac{x}{20} \\8x=440\\x=55cm[/tex]

Answer:

Step-by-step explanation:

=3+(18-6)+20÷4

=3+12+20÷4

=3+12+5

=20

use BODMAS rule (Bracket of Division, Multiplication, Addition, and Subtraction)

Answer:

20 is the answer.

Step-by-step explanation:

By using BODMAS,

→ 3 + (18 - 6) + 20 ÷ 4

→ 3 + 12 + 20 ÷ 4

→ 3 + 12 + 5 = 20

Answer:

5 3/4 hrs

Step-by-step explanation:

distance ÷ speed = time

276 ÷ 48 = 5.75

Answer:

Slope is 2.

Step-by-step explanation:

So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:

Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]

Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]

Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]

So lets start by doing step one.

All we need is to look for two x values. Lets use 5 and 6:

6-5=1

So 1 is our change of x. This is our 1st step.

Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:

-1-(-3) = 2

So 2 is our change in y. This is our 2nd step.

Now lets plug this into:

[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:

[tex]\frac{2}{1} = 2[/tex]

So our slope is 2. Completing our 3rd and final step.

Hope this helps!

Answer:

The probability of selecting 2 Democrats and 2 Republicans is 29.36%.

Step-by-step explanation:

Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:

7/14 x 6/13 x 7/12 x 6/11 = X

0.5 x 0.46 x 0.58 x 0.54 = X

0.0734 = X

0.0734 x 100 = 7.34 x 4 = 29.36

Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.

Answer:

OMGGG I NEED THIS QUESTIONNN TOOOOOOWANNA WORK ON IT

Answer:

225sqft with 1in -> 5ft  = 9sqin

147sqft with 1in -> 7ft = 3sqin

256sqft with 1in ->8ft = 4sqin

128sqft with 1in -> 4ft = 8sqin

Step-by-step explanation:

To change from feet to inches, you just divide by the scaling factor (5, 7, 8, or 4) in this problem.  But because it is square feet to square inches, you must divide by the square of the scaling factor:

5*5 = 25

7*7 = 49

8*8 = 64

4*4 = 16

So:

225/25=9

147/49 = 3

256/64 = 4

128/16 = 8