Mes angle P = mes arc (ORQ) / 2
mes angle R = mes arc(OPQ) / 2
But mes arc(OPQ+ORQ) = 360° & ===> mes angle (P+R) =arc(OPQ+ORQ) /2
= 180°. Then P+R =180°.
Replace P & R by their respective values: y°+3y°+8°=180°
4y° = 172° ===> y°=43°
Answer:
The ratio of net income in the first 6 months, to the last six months is $76,500 / $100,000. This simplifies intuitively as follows:
76500/100000
Dividing by 100: 765/1000
Dividing by 5: 153/200
The denominator 200 is only divisible by the prime numbers 2 and 5, and since the numerator 153 is not divisible by either 2 or 5, this means that this is in simplest form, and the final answer is 153/200.
Step-by-step explanation:
Answer:
B. You have to distribute properties. So you distribute the exponent 5 to both the 6 & the 9
Answer:
Dimensions are 20 X 44 feet
Step-by-step explanation:
First we need to build two equations:
For area X times Y = 880
For Perimeter 2x + 2y = 128
Now we need to solve one so we can substitute it into the other:
2x + 2y = 128 becomes
2x = 128 - 2y and then
x = 64 - y We will substitute this into the are equation
(64 - y)y = 880
64y -
= 880
-
factor out the negative
-(
Factor:
-(y - 20)(y - 44) = 0
y-20 = 0 and y - 44 = 0
y = 20 and y = 44
Plugging these in two both of our formulas works
20 X 44 = 880 for area
2(20) + 2 (44) = 128 for perimeter
9514 1404 393
Answer:
yes
Step-by-step explanation:
The tower is about 50.1 meters tall. The guidebook is correct.
__
The distance from the base of the tower to the angle vertex is ...
d1 = h/tan(46°)
d2 = d1 +50 = h/tan(27°)
Then the height of the tower is ...
h/tan(46°) +50 = h/tan(27°)
50 = h(cot(27°) - cot(46°))
h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692
h ≈ 50.1544 . . . meters
The tower is more than 50 meters high.