Answer:
x = 4
Step-by-step explanation:
√x + 1 = 3
√x = 3 - 1
√x = 2
(√x)² = (2)²
x = 4
Answer: The area of the square is increasing at a rate of 90.4 m2/min (square meters/minute)
Step-by-step explanation: Please see the attachments below
<h2>
Answer:</h2><h3>
x = -9</h3>
<h2>Step-by-step explanation:</h2>
<h3><u>Step 1</u>: Simplify both sides of the equation.</h3><h3 /><h3>1/3x+1=−2</h3><h3 /><h3><u>Step 2</u>: Subtract 1 from both sides.</h3><h3 /><h3>1/3x+1−1=−2−1</h3><h3 /><h3>1/3x=−3</h3><h3 /><h3><u>Step 3</u>: Multiply both sides by 3.</h3><h3 /><h3>3*(1/3x)=(3)*(−3)</h3><h3 /><h3>x=−9</h3>
Answer:
a. LK = 4√3, JL= 4√6
b. PQ = 10√3, RP = 5√3
Step-by-step explanation:
a. LK =4√3,
LK=KJ= 4√3
sin(45°) = opposite/hypotenuse
hypotenuse (JL)= opposite/sin 45° = 4√3/√2/2 = 8√3/√2 = 8√3√2/2 = 4√6
b.
cos 30° = adjacent/hypotenuse = QR/PQ = 15/PQ
cos 30° = 15/PQ
PQ = 15/cos 30° = 15/√3/2)= 30/√3 = 30√3/3 = 10√3
tan 30° = opposite/adjacent = RP/QR
√3/3 = RP/QR
√3/3 = RP/15
RP = √3*15/3 = 5√3
