Answer:
65.4°
Step-by-step explanation:
According to question
The equation is
Cos(x)=5/12
x=acos(5/12)
x=65.4°
Answer:
s = 6, r = 8 or s = 4, r = 7
Step-by-step explanation:
2r - s = 10
2r = 10 + s
r = 5 + s/2 --(1)
rs - s^2 = 12 --(2)
sub (1) into (2):
(5 + s/2)s - s^2 = 12
5s + 0.5s^2 - s^2 = 12
-0.5s^2 + 5s - 12 = 0
s^2 - 10s + 24 = 0
(s - 6)(s - 4) = 0
therefore s = 6 or s = 4
when s = 6, r = 8 and when s = 4, r = 7
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Answer:90 1/2
Step-by-step explanation:
She sold 362 tickets
She gets prize point for every 4 tickets
Finding a price that is 30% lower than $2075 is the same as finding a price that is 70% of $2075.
That means all we need to do is calculate what is 70% of $2075.
Convert 70% into decimal form which is 0.70.
Next, multiply $2075 by 0.70.
$2075*0.70 = $1452.50
The price the travel agent found was $1452.50
Note: If you don't know how to multiply by decimals you can multiply $2075 by 7 than divide the result by 10 (move the decimal point one place to the left).
Answer:

Step-by-step explanation:
For it to be a parallelogram, opposite sides have to be of same length.
Using the expressions given, we can make 2 equations:
<u>Equation 1:</u>

<u>Equation 2:</u>

<em>Solving equation 2, we have x:</em>

<em>Plugging this value of x into equation 1, we can solve for y:</em>

So,
