All categories

2 years ago

Hey guys! I’m having a lot of trouble with this paper, would anyone mind explaining one of them to me?

Mathematics

1 answer:

lyudmila [28]2 years ago

7 0

Answer: See Explanation

Step-by-step explanation:

This worksheet seems to be about "Special Right Triangles"

In this worksheet, it instructs you to find the missing side lengths.

Explaining number 1)

Step 1) Identifying the triangle and what it means

Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.

Step 2) Answer

The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)

*you can also use the following attachment to help you on this problem

You might be interested in

The answers for number 5

VladimirAG [237]

The answer is c because of y=mx+b

5 0

2 years ago

What is a 10% margin increase on 1,810.69?

Elis [28]

Answer:

1991.759

Step-by-step explanation:

1810.69×%10=181.069

1810.69+181.069=1991.759

7 0

1 year ago

Total 427 tickets sold 73 fewer student tickets than adult tickets how many adult tickets

viktelen [127]

9514 1404 393

Answer:

250

Step-by-step explanation:

Let 'a' represent the number of adult tickets.

a +(a -73) = 427

2a = 500 . . . . . add 73

a = 250 . . . . . . divide by 2

250 adult tickets were sold.

_____

<em>Additional comment</em>

I call this a "sum and difference problem" because we are given the total of two values and the difference between them. As you can see here, the larger of the two values is the average of the given numbers, their sum divided by 2. This is the generic solution to such a problem: the larger number is the average of the given sum and difference.

8 0

2 years ago

If 2tanA=3tanB,then prove that tan(A-B)=sin2B/(5-cos2B) ...?

andreev551 [17]

Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B ) - correct

8 0

2 years ago

Find the length of the unknown side. Round your answer to the nearest tenth. (4 points) Image of a right triangle with a leg lab

Anika [276]

using pythagorean theorem

a^2 + b^2 =c^2

a^2 +8^2 =14^2

a^2 +64 = 196

subtract 64 from each side

a^2 = 132

take the square root of each side

a^2 = sqrt (132)

a=11.48912529

a =11.5

5 0

3 years ago