Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
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2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
__
Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.
<span>Given:
family travelled 25 miles in 30 minutes or 50 miles /hr
current time 3.00 pm.
total distance=225 miles.
solution:
speed = distance * time
time = distance/spedd
= 225/50
time = 4.5 hours.
reaching time= 3 hours +4 hour 30 minutes= 7.30 pm</span>
Answer:
<u><em>28 minutes.</em></u>
Step-by-step explanation:
We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.
To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.
Therefore, Lynn ran at a greater speed than Kael for <u><em>28 minutes.</em></u>
Answer:
James invested $160,000
Step-by-step explanation:
- In total, they needed $480,000 to start the business
- 1:2 ratio means one of them payed double the amount than the other
so the expression would be,
2x + x = 480,000
Let x represent how much they each need to invest
the expression can be simplified to,
3x = 480,000
now you need to get x alone, this would be done be dividing both sides by 3
James invest $160,000
Michael invest $160,000 x 2 = $320,000
and if you add them together, you get the total amount
$320,000 + $160,000 = $480,000
Let me know if you have any questions !
Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units
