MATHEMATICS HIGH SCHOOL

If matrix A is added to matrix B and the result is matrix C, what is the result if matrix B is added to matrix A?

Answers

Answer 1

Answer: Since addition is commutative you would get the same answer.

Answer 2

Answer:

Answer:

matrix C

Step-by-step explanation:

Well, since matrix addition is just regular addition in form of a matrix, matrix (a,b (w,x (w,x (a,b

c,d) + y,z) = y,z) + c,d)

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The variable a is the length of the ladder. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the length of the ladder is 5.0 meters and the top is sliding down the wall at a rate of 0.4 m/s. Calculate dx dt when h = 3.1.

Answers

Answer:

dx/dt= 0.2608 at h= 3.1 m

Step-by-step explanation:

a is the length of the ladder. a=5

by pythagorus theorem

$x^2 = a^2-h^2$

differentiating with respect to t we get

$x(dx)/(dt) = -h(dh)/(dt)$ ......1

The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom

At h= 3.1

x^2= 6^2-3.1^2 = 9.1×2.9

x= 5.1371 m

given $(dh)/(dt) =-0.4$

putting values in 1 to get dx/dt

$5.1371(dx)/(dt) = 3.1×04$ .

dx/dt= 0.2608 at h= 3.1 m

Answer:

$(dx)/(dt)$ = 0.3

Step-by-step explanation:

The given situation forms a right triangle. We have to use the Pythagorean theorem's statement to solve this problem.

The theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.

Here Hypotenuse = length of the ladder (a)

Legs are h and x.

So, using the Pythagorean theorem, we get

$a^2 = h^2 + x^2$ -------------(1)

We are given a = 5 meters, $(dh)/(dt)$ = 0.4

Now plug in a = 5 in the above equation, we get

$5^2 = h^2 + x^2$

25 = $h^2 + x^2$ -----(2)

To find the $(dx)/(dt)$ . Differentiate the above equation with respective to the time t, we get

$2h(dh)/(dt) + 2x(dx)/(dt) = 0\n$ -------(3)

We know that h = 3.1 and $(dh)/(dt)$ = 0.4.

We can find x, by plug in h = 3.1 from the equation (2)

25 = $3.1^2 + x^2$

$x^2 = 25 - 9.61$

x = 3.9

Now plug h = 3.1, x = 3.9 and $(dh)/(dt)$ = -0.4 in the derivative (3) and find dx/dt

Here we represents $(dh)/(dt)$ = -0.4 because it is sliding down

2(3.1)(-0.4) + 2(3.9) $(dx)/(dt)$ = 0

-2.48 + 7.8 $(dx)/(dt)$ = 0

7.8 $(dx)/(dt)$ = -2.48

$(dx)/(dt)$ = -2.48 ÷ -7.8

$(dx)/(dt)$ = 0.3179

When we rounding off to the nearest tenths place, we get

$(dx)/(dt)$ = 0.3

Yolanda spends 8/23 hours per month playing soccer. Approximately how many hours does she play soccer in a year

Answers

Given:
8 2/3 hours per month
12 months in a year.

Number of hours she play soccer in a year.

8 2/3 must be converted to improper fraction.

((8*3)+2)/3 = 26/3

26/3 * 12 = (26 * 12)/3 = 312/3 = 104

Yolanda spends 104 hours in a year playing soccer.

(8+2/3)*12=96+2*12/3=96+2*4=96+8=104
Approximatively 104h per year

What is seven point five divided by one hundred

Answers

7.5/100
= 0.075.

The final answer is 0.075~

PLLZZZZZZZ HELPPP ME OKAY PLZ IM BEGGING Y"ALL PLZ HELP ME

Answers

Answer:

10164

Step-by-step explanation:

350

2800

7000

add them up

Answer:

1. 14

2. 350

3. 2800

4. 7000

Answer: 10,164

Step-by-step explanation:

A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree angle. How long is the rope, rounded to the tenth place? A. 20.0 B. 17.3 C. 11.5 D 3.0 (All in ft.)

Answers

Answer:

The length of rope is 20.0 ft . Hence, option (1) is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=(AB)/(AC)$

Putting values,

$\sin 30^\circ} =(10)/(AC)$

We know, $\sin 30^\circ}=(1)/(2)$

$(1)/(2) =(10)/(AC)$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, option (1) is correct.

C. 11.5, is best fit....

a cross-section is taken parallel to the bases of a general cylinder and has an area of 18. If the height of the cylinder is H, what is the volume of the cylinder? Explain your reasoning.

Answers

∵ the cross-section is parallel to the bases of the cylinder, then it is congruent to the bases thus, the area of the base of the cylinder is 18.
The volume of a general cylinder is the product of the area of the cylinder’s base times the height of the cylinder,
So the volume of the general cylinder is = 18 H

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