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Yuki888 [10]
3 years ago
9

Find all solutions for a triangle with A = 40°, B = 60°, and c = 20.

Mathematics
1 answer:
Ket [755]3 years ago
3 0

Answer:C

Step-by-step explanation:

180-(60+40)=80°

C=80°

20/sin80. =a/sin40

a=(20sin40)÷sin80

=13.1

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Find x and y, given that KL and line MN are parallel. Show all work
Setler [38]
\dfrac{|MN|}{|NJ|}=\dfrac{|KL|}{|LJ|}\\\\\dfrac{22}{12+8}=\dfrac{y}{8}\\\\\dfrac{22}{20}=\dfrac{y}{8}\ \ \ |cross\ multiply\\\\20y=22\cdot8\\\\20y=176\ \ \ |:20\\\\\boxed{y=8.8}

\dfrac{|MK|}{|KJ|}=\dfrac{|NL|}{|LJ|}\\\\\dfrac{x-2}{5}=\dfrac{12}{8}\ \ \ \ |cross\ multiply\\\\8(x-2)=5\cdot12\\\\8x-16=60\ \ \ |+16\\\\8x=76\ \ \ |:8\\\\\boxed{x=9.5}
4 0
2 years ago
Read 2 more answers
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo
Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

<em>Remember: </em><em>to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of. </em>

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷  100 = 0.07

0.07 x 118.99 8.3293 or  $8.33

118.99 + 8.33 = 127.32

<em>This is the final total of how much the skateboard would cost.</em>

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0
2 years ago
a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can
Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

1\frac{1}{4} cups of milk make 10 servings

1\frac{1}{4} can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128

Hence,

128 servings can be made using 1 gallon of milk.

3 0
3 years ago
HELPPPPPPP PLEASEEEEE
zmey [24]
I’m gonna bet on D. Since I answered your question. Break my ankles✨
5 0
3 years ago
Read 2 more answers
How many centimeters is my bag If IT was 9 centimeters and lost 3 centimeters
geniusboy [140]
Your answer is 6 centimeters because you would have to subtract 3 from 9. Hence, your answer is 6. 

Hope I helped!
4 0
3 years ago
Read 2 more answers
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