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Lapatulllka [165]
3 years ago
6

Find three ratios equivalent to the ratio described in each situation.

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Traders have invested $ 100,000 in the Peace Garden Center to boost the capital Mogadishu and make a profit. looga farm income to make people come to the door to take the free tickets for different values $ 0.8 adults and 0.6 children. As many as 150 tickets were sold on Friday for $ 102. produce more child tickets than adult tickets?

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How do you get an equation to solve for all 3 sides of a triangle?
slavikrds [6]

In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:

1. The angles always add to 180°:

A + B + C = 180°

When you know two angles you can find the third.

 

2. Law of Sines (the Sine Rule):

Law of Sines

When there is an angle opposite a side, this equation comes to the rescue.

Note: angle A is opposite side a, B is opposite b, and C is opposite c.

 

3. Law of Cosines (the Cosine Rule):

Law of Cosines

This is the hardest to use (and remember) but it is sometimes needed  

to get you out of difficult situations.

It is an enhanced version of the Pythagoras Theorem that works  

on any triangle.

With those three equations you can solve any triangle (if it can be solved at all).

Six Different Types (More Detail)

There are SIX different types of puzzles you may need to solve. Get familiar with them:

1. AAA:

This means we are given all three angles of a triangle, but no sides.

AAA Triangle

AAA triangles are impossible to solve further since there are is nothing to show us size ... we know the shape but not how big it is.

We need to know at least one side to go further. See Solving "AAA" Triangles .

 

2. AAS

This mean we are given two angles of a triangle and one side, which is not the side adjacent to the two given angles.

AAS Triangle

Such a triangle can be solved by using Angles of a Triangle to find the other angle, and The Law of Sines to find each of the other two sides. See Solving "AAS" Triangles.

 

3. ASA

This means we are given two angles of a triangle and one side, which is the side adjacent to the two given angles.

ASA Triangle

In this case we find the third angle by using Angles of a Triangle, then use The Law of Sines to find each of the other two sides. See Solving "ASA" Triangles .

 

4. SAS

This means we are given two sides and the included angle.

SAS Triangle

For this type of triangle, we must use The Law of Cosines first to calculate the third side of the triangle; then we can use The Law of Sines to find one of the other two angles, and finally use Angles of a Triangle to find the last angle. See Solving "SAS" Triangles .

 

5. SSA

This means we are given two sides and one angle that is not the included angle.

SSA Triangle

In this case, use The Law of Sines first to find either one of the other two angles, then use Angles of a Triangle to find the third angle, then The Law of Sines again to find the final side. See Solving "SSA" Triangles .

 

6. SSS

This means we are given all three sides of a triangle, but no angles.

SSS Triangle

In this case, we have no choice. We must use The Law of Cosines first to find any one of the three angles, then we can use The Law of Sines (or use The Law of Cosines again) to find a second angle, and finally Angles of a Triangle to find the third angle.

7 0
3 years ago
Read 2 more answers
1.toyland is having a sale all items are 20% off How much will you save on an item that usually costs $95?
ladessa [460]
T<span>oyland is having a sale all items are 20% off

so all items are sold at 1-20% = 80% of their original prices

for </span><span>an item that usually costs $95,
</span><span>
the sale price = $95 * 80% = $95 * 0.8

= $76

good luck w Mr. Horton :)

</span>
5 0
3 years ago
Read 2 more answers
A car rental company charges a one-time application fee of 40 dollars, 55 dollars per day, and 13 cents per mile for its cars. A
liberstina [14]

Answer:

A) C(d,m) = 40 + 55d + 0.13m

B) $448

Step-by-step explanation:

Let 'd' be the number of days and 'm' the number of miles driven.

A) The cost function that describes a fixed amount of $40, added to a variable amount of $55 per day (55d) and a variable amount of 13 cents per mile (0.13m) is:

C(d,m) = 40 +55d +0.13m

B) If  d = 5 and m =600, the total cost is:

C(5,600) = 40 +55*6 +0.13*600\\C(5,600)=\$448

The cost is $448.

3 0
3 years ago
Read 2 more answers
Long’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month,
dem82 [27]

Answer: 12 refills

Step-by-step explanation:

y = 8.95 + 1.50x

26.95= 8.95 + 1.50x

26.95 - 8.95 = 1.50x

18 = 1.50X

18 / 1.50 = x

X = 12

8 0
2 years ago
Line segments XY and TU are parallel to each other. Line segment AB is also parallel to TU. Therefore, line segments XY and AB a
Advocard [28]
That would be true...XY and TU and AB are all parallel
8 0
3 years ago
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