Answer:
a ) π/2, 4π/3, 3π/2. 5π/3.
Step-by-step explanation:
2 sin t cos t + √3 cos t = 0
cos t ( 2 sin t + √3 ) = 0
Therefore:
cos t = 0, t 1 = π/2, t 2 = 3 π/2
or:
2 sin t + √3 = 0
2 sin t = - √3
sin t = - √3 / 2
t 3 = 4 π/3, t 4 = 5 π/3
Answer:
360mm^2
Step-by-step explanation:
Surface area of a square pyramid= Base area + Lateral area
Base area=10mm × 10mm
=100mm^2
Lateral area = (4) × (1/2) × (10) × √(12) ^ 2 + (5) ^ 2)
= 260 mm^2
Surface area= Base area + Lateral area
=100mm^2 + 260mm^2
= 360mm^2
I think 27 is 1350 since you just multiply and add
Answer:
The student's GPA is 2.8666.
Step-by-step explanation:
A grade is 4.0, B grade is 3.0, C grade is 2.0. For each credit, add the value of the letter grade. So:
Math, 2 credits, grade A: (4x2=8)
English, 5 credits, grade B: (5x3=15)
Physics, 4 credits, grade B: (4x3=12)
German, 4 credits, grade C: (4x2=8)
The numbers add up to 43, then divide by the number of credits (15) to get:
43/15=GPA of 2.8666.
Remember that a dilation stretches or compresses an object based on a given scale factor, therefore, the correct option is C