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marysya [2.9K]
3 years ago
11

Show that tan (45°) = 1

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer:

Geometric proof in the explanation.

Step-by-step explanation:

Draw a square. A square has all equal sides and it's 4 angles each measure 90 degrees.

Draw a diagonal which will cut the square into two congruent isosceles right triangles.

So this will give you a 45-45-90 triangle.

I drew the triangle in the picture.

Tangent is opposite over adjacent so we don't need to find the hypotenuse in terms of a ( a is positive).

So tan(45)=a/a=1.

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What is another way to name ∠MNO ?
katrin [286]

Alright, lets get started.

Please take a look to the diagram I have attached.

The base side is ON

The terminal side is MN.

We could say angle MNO as angle N.

We could day it as angle ONM also.

So, the answer is ∠ N and ∠ONM.   :  Answer

Hope it will help :)


7 0
3 years ago
Solve for b. -11b+7 = 40−11b+7=40
Oksana_A [137]

Answer:

This equation is false

Step-by-step explanation:

Well,

-11b + 7 = 4 - 11b + 7 = 40

combine like terms

-11b + 7 = -11b + 3 = 40

Communicative property

-3 to both sides

-11b + 4 = -11b = 40

-4 to both sides

-11b = -11b = 36

+11b to both sides

0 = 36

0 is not equal to 36 meaning that this equation is false.

<em>Thus,</em>

<em>the equation given is false.</em>

<em />

<em>Hope this helps :)</em>

6 0
3 years ago
11
7nadin3 [17]

Answer:

1.5 because it is the average of the two middle numbers in this scenario.

7 0
3 years ago
John translated parallelogram ABCD using the rule (x,y)→(x+3, y-2). If angle A is 110° and angle B is 70°, what is the degree me
stiv31 [10]
This is kind of a trick question. 
Translation is moving an object a certain distance. The original object and its translation have the same shape and size.
Answer: B ) Angle A´ = 110°
3 0
3 years ago
Read 2 more answers
I need help with this question ASAP ! ASAP!!!!!! PLEASE!
irina1246 [14]

Answer:

One Triangle = 2.09 in²

Two Triangles = 4.18 in²

Rectangle = 17.48 in²

Total area of whole trapezoid = 21.66 in²

Step-by-step explanation:

Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.

Let's start with the triangles.

1. To find the area of a triangle, the formula is  \frac{1}{2} b*h. It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:

\frac{1}{2} * 1.1 * 3.8 = 2.09 in²

2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:

2.09 *2=4.18 in²

Moving on to the rectangle...

1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:

4.6 * 3.8 = 17.48 in²

Now to find the total area of all shapes combined...

1. To do this, we just need to add up all the areas we found, so...

17.48 + 4.18 = 21.66 in²

3 0
2 years ago
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