1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veseljchak [2.6K]
3 years ago
14

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.

You might be interested in
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
Other questions:
  • The distance, d, in kilometres, travelled by a plane after t hours can be represented by d(t)=-4t³=40t²+500t, where t is greater
    15·1 answer
  • Explain this if you can i struggle with Discrete and Continuous Data
    14·1 answer
  • A factory produces 37,650 T shirts in a 30-day month.
    7·2 answers
  • What is 9/7 as a decimal
    14·1 answer
  • Hayley is filling a tank with water. She measures the depth, in inches, of the water in the tank at the end of each hour for 8 h
    10·1 answer
  • While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people at the carnival, abou
    7·1 answer
  • Find the area of the circle whose equation is x2+y2=6x-8y​
    10·1 answer
  • Cosx=4/5 what is sin2x cos2x and tan2x
    7·1 answer
  • 9. Change the given equation to the form y = mx + b. Give the values of b and m.
    13·1 answer
  • 2. Graph each inequality on a number line:<br><br> 5x + 15 &lt; 0
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!