For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.A. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, yes

B. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, yes

C. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, no

D. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, no

Answers

Answer 1

Answer: To condition in which we can justify if the forces are pulling at right angles to each other is that the sum of the squares of the two lesser number should be equal to the square of the third number.

For the first set: 12 lb, 13lb, 19lb.

12^2 + 13^2 ≠ 19^2

For the second set: 15 lb, 36 lb, 39 lb

15^2 + 36^2 = 39^2

The first pair of forces do not pull at a right angle while the second do.
Thus, the answer is letter B.

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How to find next number in this sequence. 2,7,26,101,400?

Answers

n(4)-1
n(4)-2

ex 2(4)=8
8-1=7

7(4)=28
28-2=26
so the next number would be 1595

Please help If triangle ABC is dialted by a scale factor of 2 and the origin as it's center, what would be the coordinates of A'?

A.(4,2)
B.(9,9)
C.(6,6)

Answers

It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)

Which sentence fully illustrates that polygon ABCD is congruent to polygon PQRS?

Answers

Ans: Polygon ABCD maps to polygon PQRS through a reflection only.

Explanation:
As you can see in the figure that the polygon PQRS is the reflection of the polygon ABCD. If we reflect the polygon ABCD on the x-axis, we would get the polygon PQRS. Congruency means that both shapes have the same measure, which in this case, both these shapes have the same measure. Therefore, we can say that polygon ABCD maps to polygon PQRS through a reflection only in order to be congruent to each other.

Answer:

polygon ABCD maps to polygon PQRS through a reflection only.

Step-by-step explanation:

In a small company of 10 people the salaries are as follows: 5 people earn $25,000, 3 earn $27,000, 1 earns $34,000, and the owner earns $60,000 What is the mean and standard deviation (to the nearest dollar) of their salaries?Mean salary: $________a0

Standard Deviation: $_________a1

Answers

Answer:

The mean is 30000 and standard deviation is 9746.79.

Step-by-step explanation:

Formula of mean

$Mean=\bar{x}=(\sum x_i)/(n)$

Formula of standard deviation:

$S.D.=\sigma=\sqrt{\frac{\sum{(x-\bar{x})^2}}{n}}$

Using the below table.

$Mean=\bar{x}=30000$

$S.D.=\sigma=9746.794345\approx 9746.79$

Therefore the mean is 30000 and standard deviation is 9746.79.

The mean is 30,000

The standard deviation is 10,893.42

What do you mean by a0 and a1?

The coordinates of the focus of the parabola −0.25x2 = y − 2 are:A. (0, 6) B. (0, 1)C. (0, −2)D. (0, 3 )

Answers

Answer:

Option B is right.

Step-by-step explanation:

given is an equation of a parabola

$-0.25x^2 =y-2\ny=-0.25x^2 +2$

$-x^2 =4y-8$

Vertex is (0,2)

It is open down.

Axis of symmetry is x=0 or y axis

Hence focus will lie on axis of symmetry ie y axis.

THe parabola has -4a = -4

Hence a = 1

SO focus will lie inside the parabola on axis of symmetry with a distance of a units from the vertex.

i.e. focus would equal = (0,2-1) = (0,1)

Option B is right

The equation is $-0.25x^2-x+2=0$
The coordinates are $((-b)/(2a);(-\Delta)/(4a))$
$\Delta=b^2-4ac=1+2=3$
The coordinates, thus, are $((1)/(-0.5);(-1)/(-1))=(-2;1)$

Jason is 5 years older than bill,and bill is twice as old as sharon.how old is jason ?whic expression represent the best way to solve the following problem? A.2x+5. Or b.x2+5 or x+y+5 d.x2+y2+5 the question can b.becaused they said is not good!

Answers

It is A. 2x+5

Bill is twice as old as Sharon, making it 2x.

Jason is 5 years older than Bill, making it 2x+5

(It can also be B. because 2x+5 and x2+5 are the same thing)

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