Answer:
x= 14√3
y= 28√3
Step-by-step explanation:
Please see attached picture for full solution.
(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)
In this case, by Pythagoras's Theorem, you should ensure that:
✓ Let's check:
This satisfies Pythagoras' Theorem :)
For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.
Cosine angle= adjacent/ hypotenuse
Sine angle= opposite/ hypotenuse
tangent angle= opposite/ adjacent
Then substitute the known side and angle to find the unknown side.
Answer:
second season
Step-by-step explanation:
5/9 ≈ 0.56 . . . first season
11/15 ≈ 0.73 . . second season
The greater fraction of field goals was made in the second season.
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You can also compare these fractions in this way:
{5/9, 11/15}
Multiply both by 9×15:*
{5·15, 9·11} = {75, 99}
The second fraction is larger.
_____
* The product of the denominators is the simplest number to compute as a multiple of both denominators. A smaller value can be found by removing a factor of 3, which is the GCD of 9 and 15. If both fractions are multiplied by 9×15/3 = 45, the result is {25, 33}. IMO, that's more work.
Answer:
Step-by-step explanation:
1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2- the exponent rule to remove grouping if the terms are containing exponents.
3- Combine the like terms by addition or subtraction.
4- Combine the constants.
Answer:
x=8
Step-by-step explanation:
set both equations equal to each other
x^2-3x-10=-2x=2
combine like terms
x^2=1x+8
x+8
Hope this helps!
Answer:
729/8
Step-by-step explanation:
4 1/2 * 4 1/2 * 4 1/2 = (9/2)^3 = 729/8
