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3 years ago

Is the following statement true? Explain.

Mathematics

1 answer:

sukhopar [10]3 years ago

4 0

Step-by-step explanation:

We can prove the statement is false by proof of contradiction:

We know that cos0° = 1 and cos90° = 0.

Let A = 0° and B = 90°.

Left-Hand Side:

cos(A + B) = cos(0° + 90°) = cos90° = 0.

Right-Hand Side:

cos(A) + cos(B) = cos(0°) + cos(90°)

= 1 + 0 = 1.

Since LHS =/= RHS, by proof of contradiction,

the statement is false.

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Taking color into account, does the shape have rotational symmetry? If so, what is the angle of rotation, rounded to the nearest

kolbaska11 [484]

There are 6 identical and symmetrical shapes if colors are ignored.
Because color is taken into account, each shape (with a distinct color) can be rotated into itself about the center of the figure through an angle of 360°.

Answer:
The shape has rotational symmetry.
The angle of rotation, taking color into account, is 360°.

7 0

3 years ago

If a dog has 2,000,000 toys and he gives 900,000 away. Then gets 2,000 more, also looses 2,000,000. He's sad but then also got 5

Sergeu [11.5K]

Answer:

See below.

Step-by-step explanation:

He does not have enough to loose 2,000,000 at that point, so this whole problem is nonsense.

5 0

3 years ago

A 5.1-ft-tall person walks away from a 12-ft lamppost at a constant rate of 3.9 ft/sec. What is the rate that the tip of the per

nekit [7.7K]

Answer:

6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb

12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

6.9y=12x

y=( 12/6.9)x

Differentiating implicitly the bother sides with respect to t, we have

Dy/dt= ( 12/6.9)dx/dt

But dx/dt= 3.9 ft/sec

Then Dy/dt= ( 12/6.9)× 3.9

Dy/dt=6.78ft/sec

Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec

CHECK THE ATTACHMENT FOR THE FIQURE

6 0

3 years ago

The perimeter of Jonah's square backyard is 56 meters. What is the area of Jonah's backyard? square meters

Naily [24]

You would take 56/4 for the sides of his square backyard.
Now you have 14.
Take 14 times itself (squared) to get the area)
14x14 =196
196 is your answer

4 0

3 years ago

Identify the equation in slope-intercept form for the line containing the point (−3,5) and parallel to y=−2/3x+53.

Alexeev081 [22]

Answer:

y=−2/3x+3

Step-by-step explanation:

I graphed the point and the equation given below. I used the same slope in the new equation as the original equation. The y-intercept is 3 because the line goes through (0,3).

3 0

3 years ago