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GenaCL600 [577]
3 years ago
5

Please assist me with these problems using the 45-45-90 relationship triangles​

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

side opposite 90 angle = x \sqrt{2}

sides opposite 45 angle = x

the multiplication and division by  \sqrt{2} should be self explanatory

1. x = 5, y = 5

2. v = 10, u = 10

3. x = \sqrt{10}, y = \sqrt{5}

4. m = 5, n = \frac{5\sqrt{2} }{2}

5. a = \frac{3\sqrt{2} }{2}, b =  \frac{3\sqrt{2} }{2}

6. a = \frac{3\sqrt{2} }{2}, b =  \frac{3\sqrt{2} }{2}

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faltersainse [42]

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467      Eqn 1

28x+36y=484     Eqn 2

Multiplying Eqn 1 by 28

28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3

Multiplying Eqn 2 by 21

21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4

Subtracting Eqn 4 from Eqn 3

(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912

Dividing both sides by 364

\frac{364y}{364}=\frac{2912}{364}\\y=8

Putting y=8 in Eqn 1

21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147

Dividing both sides by 21

\frac{21x}{21}=\frac{147}{21}\\x=7

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

5 0
3 years ago
the expression 42 plus 57 shows how much money Nate spent at a store .which expression also shows how much money Nate spend
ArbitrLikvidat [17]

Answer:

66+33

Step-by-step explanation:

42+57= 99

__________

My expression

66+33= 99

Hope this helps!

-Payshence

8 0
3 years ago
You have a 1.5 litre bottle of water and drink 295 millilitres. Your friend drinks 135 millilitres. How much is left?
inna [77]
Convert liters to milliliters so that you have one unit for all of the amounts in the question.

1 liter is equal to 1000 milliliters, so multiply the 1.5 liters you have by 1000:

1.5 * 1000 = 1500

Since you drank 295 milliliters, and your friend drank 135 milliliters, you will subtract those values from the amount in the bottle:

1500 - 295 - 135 = 1500 - 430 = 1070

There is 1070 milliliters of water left in the bottle. 

If you want to find the amount remaining in the bottle in liters, divide the amount remaining by 1000 to convert milliliters to liters:

1070 / 1000 = 1.07

Converted back into liters, there is 1.07 liters of water left in the bottle.
6 0
3 years ago
Choose the equation of the vertical line passing through the point (-4, 2). i picked x = -4.. ...?
Sliva [168]
Yes that is right
x=-4
is a vertical line passing through the points (-4,y)
where y can be any value
3 0
3 years ago
Rsm question!How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?
Lyrx [107]

Answer:

5\ liters

Step-by-step explanation:

Sugar\ in\ the\ syrup=40\%\\\\40\%\ of\ 15\ ltrs =\frac{40}{100}\times 15=6\ ltrs\\\\Now\ we\ have\ to\ obtain\ 30\%\ sugar\ syrup. Let\ total\ quantity\ of\ syrup=x\\\\30\%\ of\ x=6\\\\\frac{30}{100}\times x=6\\\\0.3\times x=6\\\\x=\frac{6}{0.3}\\\\x=20\ ltrs\\\\The\ amount\ of\ water\ to\ be\ added =20-15=5\ liters

3 0
3 years ago
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