If anyone can help that would be great!
Answers
Answer:
-120/119
Step-by-step explanation:
cos α = -5/13 = adj/hyp
using Pythagoras theorem
hypotenuse ² = opposite² + adjacent ²
13² =opp²+ (-5)²
169 = opp² + 25
169-25 = 144 = opp²
opp = √144 = 12
sinα = opp/hyp = -12/13
sin β = -12/13
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)
cos α = -5/13
sinα = 12/13
tanα= sinα/cosα = 12/13 / -5/13 = 12/-5 = -12/5
sin β = -12/13
cos β = 5/13
tan β = sinβ/cosβ = -12/13 / 5/13 = -12/5
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)
tanα = -12/5
tanβ= -12/5
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5))
(-12/5+(-12/5)) = -12-12/5 = -24/5
(1-(-12/5)(-12/5)) = 1-(144/25) = (25-144)/25 = 119/25
tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5)) =-24/5/119/25 = -24/5 x 25/119 = -24x5/119 = -120/119
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Answer: 9/25, Percentage: 36%
Final answer:
The fraction equivalent to 0.36 is 36/100, which can be further simplified to 9/25.
Explanation:
In the subject of mathematics, to convert a decimal into a fraction, one must understand the place value of the decimal. In your case, the decimal 0.36 is in the hundredths place, which means you can express this decimal as 36 over 100. Therefore, the fraction equivalent to 0.36 is 36/100. To simplify this fraction, we can divide both the numerator (36) and the denominator (100) by the greatest common divisor, which is 4. This gives us a simplified fraction of 9/25.
Learn more about Equivalent Fraction here:
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Answers
Answer:
(7/9) ÷ (5/4) = 28/45
Step-by-step explanation:
Fractions can be divided by using the rule "invert and multiply". We can look at the factors of 28 and 45 to see what might have been multiplied to get these numbers.
28 = 1·28 = 2·14 = 4·7
45 = 1·45 = 3·15 = 5·9
So, there are a number of possibilities. A couple of them are ...
28/45 = (7/9) × (4/5) = (4/9) × (7/5)
If we choose to use the first of these pairs of fractions, we can invert one of the fractions to make the denominator, then write the quotient as either of ...
(7/9) ÷ (5/4)
or
(4/5) ÷ (9/7)
Work for Point 1
Work for Point 2
Work for Points
Work for Point 4
Put your points here
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Answers
The table of values for points x= 1 to x = 4 relating to the linear expression2x - 4y = 12 is given below :
- x ______ y
- 1 ______-2.5
- 2 ______-2
- 3 ______ -1.5
- 4 ______ - 1
Giventhe equation :
- 2x - 4y = 12
We could express the equation in slope - intercept form thus :
-4y = 12 - 2x
Divide both sides by - 4
y = - 3 + 0.5x
- y = 0.5x - 3
Creating the pair of points :
At ; x = 1
y = 0.5(1) - 3
y = 0.5 - 3 = -2.5
(1, - 2.5)
At point x = 2 ;
y = 0.5(2) - 3
y = 1 - 3 = - 2
(2, - 2)
At point x = 3 ;
y = 0.5(3) - 3
y = 1.5 - 3 = -1.5
(3, -1.5)
At point x = 4 ;
y = 0.5(4) - 3
y = 2 - 3 = -1
(4, - 1)
The graph of the equation is attached below.
Learn more :brainly.com/question/18405415
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Answers
Step-by-step explanation:
1350÷600
=2.25
√2.25=1.5