<u>Given</u>:
Given that RST is a right triangle.
The measure of ∠R is 35°.
The length of ST is 12 units.
The length of the hypotenuse is t units.
We need to determine the value of t.
<u>Value of t:</u>
The value of t can be determined using the trigonometric ratio.
Thus, we have;

where
, the side opposite to ∠R is ST and hypotenuse is SR.
Substituting these values, we get;

Substituting ST = 12 and SR = t, we get;

Simplifying, we get;



Thus, the value of t is 20.9 units.
Answer:
Step-by-step explanation:
Let A = Adam, B = Betty
Adam and Betty purchased a printer together for $258.
This means we can say A + B = 258.
We are also told Adam paid $18 less than twice Betty.
You can write this as:
Adam = 2 x Betty - 18
A = 2B - 18
Substitute "A" into the A + B equation and you get:
A + B = 258
2B - 18 + B = 258
3B - 18 = 258
Add 18 to both sides.
3B = 258 + 18
3B = 276
Divide both sides by 3 to find B
B = 276/3 = 92 (This means Betty paid $92).
Since the total that they paid together was $258.
This means Adam pays the Total - How much Betty paid
Adam = 258 - 92 = $166
13% of $4000 is $520
If the $4000 car loses value at a rate of 13% each year for 3 years
$520 x 3 = $1560
Subtract this amount from $4000
$4000 - $1560 = $2440
<u>Answer: In 3 years, the used car will be worth $2440 in 3 years</u>
30 miles for a single gallon.
first we find out how many gallons would be used.
number of gallons = 1020/30
gallons = 34.
and since 1 gallon costs $4.06
34 gallons would cost = 34 x 4.06 = $138.04