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katrin [286]
3 years ago
9

suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t

hird side of the triangle

Mathematics
2 answers:
grin007 [14]3 years ago
8 0

Answer:

2.646 i believe is the answer : )

Step-by-step explanation:

arlik [135]3 years ago
3 0

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

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The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had th
Maru [420]

Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

p=\frac{|x-x_{true}|}{x_{true}}\cdot 100

where

x is the value of the measurement

x_{true} is the actual value

For student 1:

x=49\\x_{true}=50

Percent error:

p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%

For student 2:

x=25.5\\x_{true}=25

Percent error:

p=\frac{|25.5-25|}{25.5}\cdot 100=0.0196\cdot 100 = 1.96\%

For student 3:

x=7.5\\x_{true}=8

Percent error:

p=\frac{|7.5-8|}{8}\cdot 100=0.0625\cdot 100 = 6.25\%

For student 4:

x=2.1\\x_{true}=1.6

Percent error:

p=\frac{|2.1-1.6|}{1.6}\cdot 100=0.3125\cdot 100 = 31.25\%

So, student 4 has the largest percent error.

Learn more about errors:

brainly.com/question/2764830

#LearnwithBrainly

4 0
3 years ago
Write the slope intercept form of the equation of each line.
Arlecino [84]

Answer:

9) y = -x + 5

10) y = -7/2x - 5

11) y = x - 1

12) y = -5x/3 - 3

13) y = -4x/1

I'm not 100% sure for some of these answers since the pic is a bit blurry, but they're pretty accurate.

6 0
3 years ago
Please help me, and please explain how you get to the answer.
Sliva [168]

the answer is 16

8^(4/3) can be written in different ways. You can first simplify it by breaking the exponents down into 1/3 and 4. You can write it as (8^1/3)^4 (it still means the same thing). When you raise something to the one over something fraction, the denominator tells you what the root is. Because it says 1/3, it means that you're finding the cube root of something. So you can rewrite it as (3√8)^4 (the three should be sitting on top of the sign to signify that it's cube root). You then just solve from there. The cube root of 8 is 2 (2*2*2=8) so it'll simplify to (2)^4. You then solve it from there and get 16 as your answer (2*2*2*2=16).

5 0
3 years ago
If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?
aksik [14]

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

<em>For every 62 miles, you use 3 gallons of gas. </em>

\frac{62}{3}*\frac{231}{?}

Now, let's cross multiply.

\frac{693}{62} ≈ 11

So, you will need about 11 gallons of gas to travel 231 miles.

8 0
3 years ago
A video game is now being sold at 22% off for a price of $31.20. What was the original price of the video game?
BabaBlast [244]
Answer:

$38.06

Explanation:

Multiply $31.20 by 0.22 (22%)
Which equals 6.864
Add that to $31.20 and you get 38.064
Then you round it and get $38.06
5 0
2 years ago
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