*The side with the middle length is 12cm, therefore BC must be 12 cm
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Ratio
------------------------</span>---------------------------------<span>--
BC:AC:AB
4 : 3 : 5
</span>-----------------------------------------------------------
<span>Find 1 share
</span>-----------------------------------------------------------<span>
Given that BC = 12 cm
4 shares = 12 cm
1 share = 12 ÷ 4 = 3cm
</span>-----------------------------------------------------------
Find AC (4 shares)
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3 shares = 3 x 3 = 9 cm
BC = 9cm
</span>-----------------------------------------------------------
<span>Find AB (5 shares)
</span>-----------------------------------------------------------<span>
5 shares = 5 x 3 = 15cm
AB = 15cm
</span>------------------------------------------------------------
Length
-----------------------------------------------------------
BC : AC : AB
12cm : 9cm : 15cm<span>
---------------------------------</span>---------------------------------<span>
Perimeter
</span>------------------------------------------------------------------
<span>12 + 9 + 15 = 36cm
</span>------------------------------------------------------------------
<span>Answer: The perimeter is 36cm
</span>------------------------------------------------------------------<span>
</span>------------------------------------------------------------------
<span>Area
</span>------------------------------------------------------------------
1/2 x 9 x 12 = 54cm²<span>
</span>------------------------------------------------------------------
Answer: Area = 54cm²
------------------------------------------------------------------<span>
Given that the biggest ratio is AB
</span>⇒AB is the hypotenuse
AB = 15 cm
------------------------------------------------------------------
Answer: Hypotenuse = AB = 15cm
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Answer:
ASA
Step-by-step explanation:
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Answer:
-3x^2+6x-157
Step-by-step explanation:
T= total played
e= # evenings played
m= # minutes played
Total equals number of evenings played multiplied by number of minutes plated per evening.
EQUATION:
t=e * m
EQUATION (if 30 minutes per evening):
t=30e
Example:
3 nights, 30 minutes played
t= 3 * 30
t=90 minutes total played
Hope this helps! :)
Answer:
1) A 2) B 3) C 4) C 5) A 6) B
Step-by-step explanation:
1) Slope is calculated by the change in y over the change in x thus (5-3)/(2-(-1)) = 2/3
2) Since there is no change in y, there is no slope.
3) The change in x is given which is 10-2 so the change in y is y2-3. For the slope to be 3/4 y must equal 6. Therefore y2 is 9.
4) Cosine is adjacent over hypotenuse and Tangent is opposite over adjacent. Given 3/5 as A/H you can construct a right triangle with the adjacent as 3 and hypotenuse as 5. The Pythagorean theorem says the adjacent squared plus the opposite squared is equal to the hypotenuse squared.
3^2 + O^2 = 5^2
O=4
Therefore TanP is 4/3
5) Pythagorean theorem again. 
Therefore your hypotenuse is equal to 
6) Csc is the inverse of the Sin function. So it becomes 5/4.
