Answer:
Step-by-step explanation:
When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )
So we have 
==> remove parenthesis and apply signs
==> simplify numerator by combining like terms
and we are done!
Note:
like terms are terms with the same variable and exponent
An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7
The like terms being combined here were (6x² and 4x²) and (5 and -2)
7. 3/4 x 12 is 9 so subtract 9/12 from 12/12 to get 3/12
8. Their pizzas were all cut differently. Josh’s pizza was cut in half, Lisa’s was cut into 6 slices and Vicki’s was cut in 8 slices
Answer: 1. Peer review involves scientists openly publishing details of the methods they used, the results of
their experiments, and the reasoning behind their hypotheses for other scientists working in the
same field to evaluate. = B true .
2. Data from controlled experiments can provide evidence that one variable causes another. = B true .
Step-by-step explanation:
Peer review is when a scientist conducts an experiment and then gives all of their information and findings to peers in order for them to follow the findings and see if the first findings are rational.
Answer: False
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Explanation: Eukaryotes along with some prokaryotes also perform the process of photosynthesis. Photosynthesis needs chloroplast and it is also found in some of the prokaryotes.
Prokaryotes are primitive cells but they do have organelles like mitochondria and chloroplast.
Photosynthesis is the process by which glucose is made in the presence of sunlight out of which oxygen is released into the environment and carbon dioxide from the environment is used.
The value of line AL is 21. 51cm
<h3>How to determine the length</h3>
To find line AL,
Using
Sin α = opposite/ hypotenuse to find line AB
Sin 90 = x/ 24
1 = x/24
Cross multiply
x = 24cm
Now, let's find line AC
Sin angle B = line AC/24
Note that to find angle B
angle A + angle B + angle C = 180
But angle B = 2 Angle A
x + 2x + 90 = 180
3x + 90 = 180
3x = 180-90
x = 30°
Angle B = 2 × 30 = 60°
Sin 60 = x/ 24
0. 8660 = x/24
Cross multiply
x = 24 × 0. 8660
x = 20. 78cm
We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°
To find line AL, we use
Cos = adjacent/ line AL
Cos 15 = 20. 78/ line AL
Line AL = 20. 78/ cos 15
Line AL = 20. 78 / 0. 9659
Line AL = 21. 51 cm
Thus, the value of line AL is 21. 51cm
Learn more about trigonometry ratio here:
brainly.com/question/24349828
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