<h2><em>Given PR + QR = 25 , PQ = 5
</em></h2><h2><em>PR be x. and QR = 25 - x </em></h2><h2><em>
</em></h2><h2><em>Pythagoras theorem ,PR2 = PQ2 + QR2
</em></h2><h2><em>
</em></h2><h2><em>x2 = (5)2 + (25 - x)2
</em></h2><h2><em>
</em></h2><h2><em>x2 = 25 + 625 + x2 - 50x
</em></h2><h2><em>50x = 650
</em></h2><h2><em>x = 13
</em></h2><h2><em> </em></h2><h2><em>
</em></h2><h2><em> PR = 13 cm
</em></h2><h2><em>QR = (25 - 13) cm = 12 cm
</em></h2><h2><em>
</em></h2><h2><em>sin P = QR/PR = 12/13
</em></h2><h2><em>
</em></h2><h2><em>cos P = PQ/PR = 5/13
</em></h2><h2><em>
</em></h2><h2><em>tan P = QR/PQ = 12/5 </em></h2><h2><em /></h2><h2><em>HOPE IT HELPS (◕‿◕✿)</em></h2>
Answer:
<h2>
f⁻¹(x) = ∛(x+1)</h2>
Step-by-step explanation:
Given the encoded message defined by the function f(x) = x³-1, the inverse function that the decoder would need when the message is received can be expressed as thus:
let the inverse of the function be represented as y such that y = x³-1.
Making x the subject of the formula from the equation above;
x³ = y+1
Taking the cube root of both sides:
∛x³ = ∛(y+1)
x = ∛(y+1)
replacing y with x:
y = ∛(x+1)
f⁻¹(x) = ∛(x+1)
The encoded message is the inverse function ∛(x+1)
Seven more than 3 times a number is equal to 49 can be put into an equation form, which would be 7 + 3x = 49. With this equation we can work it out, first we will subtract 7 from both sides of the equation to cancel out the 7. 49 - 7 = 42. Now we have 3x = 42. To isolate x and give us the answer we will divide by 3 on both sides, since 3 is being multiplied by x. This will give us our answer, which is 14.
Answer:
1/1 chance
Step-by-step explanation:
The lowest sum the die could add up to is 2. 2>1
So that means that on every roll, the sum of the two die will add to a number greater than one.
Answer:
The following the value of the solution of the inequality is 21/32 you may or may not be able to simplify it. I'm trying to help you at the best quality that I can. I highly respect that your asking question, that helps you and I learn.
Step-by-step explanation:
