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storchak [24]
3 years ago
13

Va rog sa ma ajutați: 420/180x54/180

Mathematics
2 answers:
MAVERICK [17]3 years ago
4 0
First, you want to divide 420 by 180. Then, divide 54 by 180. Lastly, you want to multiply the answers of the two together.
                    - 
420/180= 2.3 

54/180= 0.3

2.3 * 0.3 = 0.69

*You just take it step by step. Hope I helped. :)
Sladkaya [172]3 years ago
4 0
Start by simplifying the fractions, its usually easier to leave it as a top heavy fraction. So we would do 420/180 which can be simplified to 7/3 (we can divide both the top and botton of the fraction by 60)
Then we can do 54/180 which is 3/10.
Now we have some nicer fractions all we have to do is multiply 7/3 x 3/10. To do this we can just multiply the tops and bottoms of the fractions so we get 21/30. This can be simplified one last time to get a final answer of 7/10 or 0.7
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part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.​
andreev551 [17]

Answer:  \bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c²  , <em>where "c" is the hypotenuse</em>

5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}

Note: hypotenuse not needed for tan

8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

8 0
2 years ago
The 7th term of an A.p is -4. If the common difference is-5, find the 6th term​
Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

a₆ = a₇+(6-7)d = -4 -(-5) =1

7 0
2 years ago
Find the equation of a line that passes through the point (-2,3) and has a gradient of 3.
nadya68 [22]

Answer:

y = 3x+9

Step-by-step explanation:

The standard form of equation of a line is in the form y = mx + c

m is the gradient

c is the y intercept

Get the y-intercept

Substitute m = 3 and the point (-2, 3) into the formula y = mx+c

3 = 3(-2) + c

3 = -6+c

c = 3+6

c = 9

Get the required equation;

y = 3x + 9

Hence the required equation is y = 3x+9

5 0
3 years ago
Choose the equation of the graph shown below:
STatiana [176]
The correct answer is y= |x + 1| - 3
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Decimal 0.6
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