Five forces are acting on a point P. They are 60N at 90 degrees, 40N at 0 degrees, 80N at 270 degrees, 40N at 180 degrees, and 50 N at 60 degrees. What is the magnitude and direction of the vector that would produce equilibrium at point P?

Answer:

B) 120 degrees

Step-by-step explanation:

The two triangles are the same, so first find the measure of angle B.

To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.

A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.

Since the two triangles are the same, Angle D is the measure as Angle B.

Hope it helps!

Answer:

16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

b = 6

h = ?

Solution

b^2 + h^2 = c^2

6^2 + h^2 = 10^2

36 + h^2 = 100            Subtract 36

h^2 = 100 - 36

h^2 = 64                      Take the square root of both sides

sqrt(h^2) = sqrt(64)

h = 8

The height = 8

Area = 1/2 * b * h

Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12

Answer:

In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.

Step-by-step explanation:

Let be [tex]g(x) = x^{3}[/tex] the parent function, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation, that is:

[tex]f(x) = g(x-a)-b,\,a,b\in\mathbb{R}[/tex] (1)

If [tex]a > 0[/tex], then translation is rightwards.

If [tex]b > 0[/tex], then translation in downwars.

If [tex]a = 2[/tex] and [tex]b = 1[/tex], then the resulting function is:

[tex]f(x) = g(x-2)-1[/tex]

[tex]f(x) = (x-2)^{3}-1[/tex] (2)

In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.

Answer:

1 1/4

Step-by-step explanation:

4/4 + 1/4 = 5/4

4/4 = 1

so 1 1/4

Answer: 1  1/4

Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify.  then when that down we need to calculate the greatest common factor.

Answer:

The second one

Step-by-step explanation:

Answer:

Is the third one,as you can see it goes thru the point (2,5)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\dfrac{5}{6}-4\dfrac{1}{3}\ =}[/tex]

[tex]\mathsf{4\dfrac{5}{6}=\bf \dfrac{29}{6}}[/tex]

[tex]\mathsf{4\dfrac{1}{3}=\bf \dfrac{13}{3}}[/tex]

[tex]\mathsf{\dfrac{29}{6}-\dfrac{13}{3}}[/tex]

[tex]\mathsf{\dfrac{(29\times3)-(13\times6)}{6\times3}}[/tex]

[tex]\mathsf{29\times3 = \bf 87}\leftarrow \large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{13\times6= \bf 78}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{\dfrac{\bf 87-78}{6\times3}}[/tex]

[tex]\mathsf{87-78=\bf 9}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]

[tex]\mathsf{\dfrac{\bf 9}{6\times3}}[/tex]

[tex]\mathsf{6\times3 = \bf 18}\leftarrow\large\textsf{\underline{DENOMINATOR}}[/tex]

[tex]\mathsf{\dfrac{9}{\bf 18}}[/tex]

[tex]\mathsf{\dfrac{9\div9}{18\div9}}[/tex]

[tex]\mathsf{9\div9=\bf 1}\leftarrow \large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{\dfrac{\bf 1}{18\div9}}[/tex]

[tex]\mathsf{18\div9= \bf 2}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{ = \dfrac{1}{\bf 2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

62  m

Step-by-step explanation:

Answer:

f(x)=3x+5

Step-by-step explanation:

just plus 5 when moving up, mines 5 when moving down

Please give brilianst!!!!

Thank you

9514 1404 393

Answer:

Step-by-step explanation:

Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...

  4a +5p = 86

  8a +2p = 92

Subtract half the second equation from the first to eliminate the 'a' variable.

  (4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)

  4p = 40 . . . . . simplify

  p = 10 . . . . . . . divide by 4

Substitute into the first equation:

  4a + 5(10) = 86

  4a = 36 . . . . . subtract 50

  a = 9 . . . . . . . divide by 4

One apple pie costs $9; one pumpkin pie costs $10.

Answer:

3339/2=1669.5

Step-by-step explanation:

=

[tex]c {}^{2} = a {}^{2} + b {}^{2} [/tex]

where,

[tex]c = hypotenuse[/tex]

[tex]a = perpendicular[/tex]

[tex]b = base[/tex]

Hope it helps

the sum of a number and twice a second number

Answer:

1100 mm = 1.1 m, and 900 mm = 0.9 m.

So the area is 1.1 x 0.9 = 0.99 m^2

The area of the rectangular board is 0.99 square meters.

Given that a rectangular board is 1100 millimeters long and 900 millimeters wide.

We need to find the area of the board,

To find the area of the rectangular board in square meters, we need to convert the given dimensions from millimeters to meters and then calculate the area.

Given:

Length of the board = 1100 millimeters

Width of the board = 900 millimeters

To convert millimeters to meters, we divide the given values by 1000:

Length in meters = 1100 mm / 1000 = 1.1 meters

Width in meters = 900 mm / 1000 = 0.9 meters

The formula to calculate the area of a rectangle is:

Area = Length × Width

Substituting the values, we get:

Area = 1.1 meters × 0.9 meters

Area = 0.99 square meters

Therefore, the area of the rectangular board is 0.99 square meters.

Learn more about area of a rectangle click;

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Answer:

49

Brainliest :)

Answer:

A (-2.5,0)

b(3,3)

c(1,-4)

Step-by-step explanation:

Answer:

Correct Answer is A. 3 times root 5.

Step-by-step explanation:

We all know that in a right angled triangle, the square of both sides is equal to the square of hypotension.

hence,

a^2 + b^2 = c^2

a^2 + (2)^2 = (7)^2

a^2 + 4 = 49

a^2 = 49-4

a^2 = 45

a = root of 45 which is 6.7082

which can be written as 3 times root 5

Answer:

an activity or purpose natural to or intended for a person or thing.

Step-by-step explanation:

: >

The function definition is given below..

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function is a relation that has an input and an output.

All the possible outputs are called codomains.

The inputs are called the domains.

The outputs are called the range.

A function can be many-to-one but not one-to-many.

Example:

f(x) = x²

For x = 1 and x = -1

f(x) = (1)² = 1 and f(x) = (-1)² = 1

This is many to one.

Thus,

The function definition is given above.

Learn more about functions here:

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Answer:

42°

Step-by-step explanation:

the exterior angle is equal to the sum of the 2 far angles from it (from the exterior angle)

so 98-56=42°

hope you understand it

Answer:

42

Step-by-step explanation:

line TZY is a straight line

Total angles on a straight line is 180

Since angle XZT + XZY = 180

98 + XZY = 180

XZY = 82

angle XYZ + YXZ + XZY = 180

XYZ + 56 + 82 = 180

XYZ + 138 = 180

XYZ = 180 - 138

XYZ = 42

Answer:

900 sq units

Step-by-step explanation:

the spilt in the rectangle add the number below to 32 then multiply the sum of that to 20, you'll get the answer. :D

Answer:

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]

[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]

[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]

[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]

[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]

[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]

[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]

[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]

[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Answer:

like terms =2x,-6x

.....

like terms =5y²,18y²

remaining are unlike terms.

Answer:

like term=2x-6x

like term=5y square-18y square

Answer:

i believe your answer is c

Step-by-step explanation:

13/25 is 52 percent so you click the one that has 52 squares shaded

Answer:

9

Step-by-step explanation:

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