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
Answer:
the correct answer is true
10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!
Answer:
<em>x < 2</em>
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Step-by-step explanation:
3x - 2 < 4
<em> + 2 | + 2</em>
------------------
3x < 6
↓
<em>(3x) / 3 < 6 / 3</em>
↓
x < 2
Step-by-step explanation:
3. The length of the rectangle is 3x and width is x+5
Now,
Area of rectangle=l×b
=3x(x+5)
=3x^2+15x(option d.)
4. 2/3x-4=20
2x/3=20+4
2x/3=24
2x=24×3
2x=72
x=72/2
x=36(option d.)