Answer:
<u>125.6 in²</u>
Step-by-step explanation:
Area shaded :
- 2 × Sector (72°)
- 2 x πr² x θ/360
- 2 x 3.14 x 100 x 72/360
- 6.28 x 100 x 1/5
- 20 x 6.28
- <u>125.6 in²</u>
Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Answer:
10,5
Step-by-step explanation:
After a dilation of 5, it should become 10 and 5 because it was 2,1 before.
Answer:
195 mL of the 90% solution
Step-by-step explanation:
Let the number of mL of 90% mixture = x
Hence, our equation is
780mL × 15% + x mL × 90% = (780mL + x) 30%
117 + 0.9x = 234 + 0.3x
Collect like terms
0.9x - 0.3x = 234 - 117
0.6x = 117
x = 117/0.6
x = 195 mL
Therefore, You will need 195 mL of the 90% solution
Answer:
9
Step-by-step explanation:
x^2
Let x=-3
(-3)^2
-3*-3
9
